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class="vector-toc-numb">2</span> <span>Musical usage term</span> </div> </a> <ul id="toc-Musical_usage_term-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Etymology" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Etymology"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Etymology</span> </div> </a> <button aria-controls="toc-Etymology-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Etymology subsection</span> </button> <ul id="toc-Etymology-sublist" class="vector-toc-list"> <li id="toc-"Overtones"_in_choral_music" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#"Overtones"_in_choral_music"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>"Overtones" in choral music</span> </div> </a> <ul id="toc-"Overtones"_in_choral_music-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-String_instruments" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#String_instruments"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>String instruments</span> </div> </a> <ul id="toc-String_instruments-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Wind_instruments" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Wind_instruments"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.3</span> <span>Wind instruments</span> </div> </a> <ul id="toc-Wind_instruments-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Brass_Instruments" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Brass_Instruments"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.4</span> <span>Brass Instruments</span> </div> </a> <ul id="toc-Brass_Instruments-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Overtone_singing" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Overtone_singing"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.5</span> <span>Overtone singing</span> </div> </a> <ul id="toc-Overtone_singing-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Overtones_in_music_composition" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Overtones_in_music_composition"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Overtones in music composition</span> </div> </a> <ul id="toc-Overtones_in_music_composition-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>See also</span> </div> </a> <ul id="toc-See_also-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>References</span> </div> </a> <ul id="toc-References-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-External_links" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#External_links"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>External links</span> </div> </a> <ul id="toc-External_links-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contents" 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class="firstHeading mw-first-heading"><span class="mw-page-title-main">Overtone</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. 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title="Oberton – Azerbaijani" lang="az" hreflang="az" data-title="Oberton" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%90%D0%B1%D0%B5%D1%80%D1%82%D0%BE%D0%BD" title="Абертон – Belarusian" lang="be" hreflang="be" data-title="Абертон" data-language-autonym="Беларуская" data-language-local-name="Belarusian" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9E%D0%B1%D0%B5%D1%80%D1%82%D0%BE%D0%BD" title="Обертон – Bulgarian" lang="bg" hreflang="bg" data-title="Обертон" data-language-autonym="Български" data-language-local-name="Bulgarian" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Sobret%C3%B2" title="Sobretò – Catalan" lang="ca" hreflang="ca" data-title="Sobretò" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Alikvotn%C3%AD_t%C3%B3n" title="Alikvotní tón – Czech" lang="cs" hreflang="cs" data-title="Alikvotní tón" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Deltone" title="Deltone – Danish" lang="da" hreflang="da" data-title="Deltone" data-language-autonym="Dansk" data-language-local-name="Danish" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Oberton" title="Oberton – German" lang="de" hreflang="de" data-title="Oberton" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/%C3%9Clemheli" title="Ülemheli – Estonian" lang="et" hreflang="et" data-title="Ülemheli" data-language-autonym="Eesti" data-language-local-name="Estonian" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Sobretono" title="Sobretono – Spanish" lang="es" hreflang="es" data-title="Sobretono" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Supratono" title="Supratono – Esperanto" lang="eo" hreflang="eo" data-title="Supratono" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Partiel_(acoustique)" title="Partiel (acoustique) – French" lang="fr" hreflang="fr" data-title="Partiel (acoustique)" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%B0%B0%EC%9D%8C" title="배음 – Korean" lang="ko" hreflang="ko" data-title="배음" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%80%D5%B6%D5%B9%D5%A5%D6%80%D5%A1%D5%B6%D5%A3" title="Հնչերանգ – Armenian" lang="hy" hreflang="hy" data-title="Հնչերանգ" data-language-autonym="Հայերեն" data-language-local-name="Armenian" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Alikvotni_tonovi" title="Alikvotni tonovi – Croatian" lang="hr" hreflang="hr" data-title="Alikvotni tonovi" data-language-autonym="Hrvatski" data-language-local-name="Croatian" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Ipertoni_(musica)" title="Ipertoni (musica) – Italian" lang="it" hreflang="it" data-title="Ipertoni (musica)" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A6%D7%9C%D7%99%D7%9C_%D7%A2%D7%99%D7%9C%D7%99" title="צליל עילי – Hebrew" lang="he" hreflang="he" data-title="צליל עילי" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9E%D0%B1%D0%B5%D1%80%D1%82%D0%BE%D0%BD" title="Обертон – Kazakh" lang="kk" hreflang="kk" data-title="Обертон" data-language-autonym="Қазақша" data-language-local-name="Kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9E%D0%B1%D0%B5%D1%80%D1%82%D0%BE%D0%BD" title="Обертон – Kyrgyz" lang="ky" hreflang="ky" data-title="Обертон" data-language-autonym="Кыргызча" data-language-local-name="Kyrgyz" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Boventoon" title="Boventoon – Dutch" lang="nl" hreflang="nl" data-title="Boventoon" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%80%8D%E9%9F%B3" title="倍音 – Japanese" lang="ja" hreflang="ja" data-title="倍音" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Deltone" title="Deltone – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Deltone" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Oberton" title="Oberton – Uzbek" lang="uz" hreflang="uz" data-title="Oberton" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Uzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Harmoniczna" title="Harmoniczna – Polish" lang="pl" hreflang="pl" data-title="Harmoniczna" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Sobretom" title="Sobretom – Portuguese" lang="pt" hreflang="pt" data-title="Sobretom" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9E%D0%B1%D0%B5%D1%80%D1%82%D0%BE%D0%BD" title="Обертон – Russian" lang="ru" hreflang="ru" data-title="Обертон" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Yl%C3%A4s%C3%A4vel" title="Yläsävel – Finnish" lang="fi" hreflang="fi" data-title="Yläsävel" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Delton" title="Delton – Swedish" lang="sv" hreflang="sv" data-title="Delton" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9E%D0%B1%D0%B5%D1%80%D1%82%D0%BE%D0%BD" title="Обертон – Ukrainian" lang="uk" hreflang="uk" data-title="Обертон" data-language-autonym="Українська" 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.hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">"Overtones" redirects here. For other uses, see <a href="/wiki/Overtones_(disambiguation)" class="mw-disambig" title="Overtones (disambiguation)">Overtones (disambiguation)</a>.</div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951" /><div role="note" class="hatnote navigation-not-searchable">"Superharmonic" redirects here. 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Unsourced material may be challenged and removed.<br /><small><span class="plainlinks"><i>Find sources:</i> <a rel="nofollow" class="external text" href="https://www.google.com/search?as_eq=wikipedia&q=%22Overtone%22">"Overtone"</a> – <a rel="nofollow" class="external text" href="https://www.google.com/search?tbm=nws&q=%22Overtone%22+-wikipedia&tbs=ar:1">news</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.google.com/search?&q=%22Overtone%22&tbs=bkt:s&tbm=bks">newspapers</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.google.com/search?tbs=bks:1&q=%22Overtone%22+-wikipedia">books</a> <b>·</b> <a rel="nofollow" class="external text" href="https://scholar.google.com/scholar?q=%22Overtone%22">scholar</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.jstor.org/action/doBasicSearch?Query=%22Overtone%22&acc=on&wc=on">JSTOR</a></span></small></span> <span class="date-container"><i>(<span class="date">December 2013</span>)</i></span><span class="hide-when-compact"><i> (<small><a href="/wiki/Help:Maintenance_template_removal" title="Help:Maintenance template removal">Learn how and when to remove this message</a></small>)</i></span></div></td></tr></tbody></table> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Harmonic_partials_on_strings.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c5/Harmonic_partials_on_strings.svg/260px-Harmonic_partials_on_strings.svg.png" decoding="async" width="260" height="247" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c5/Harmonic_partials_on_strings.svg/390px-Harmonic_partials_on_strings.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c5/Harmonic_partials_on_strings.svg/520px-Harmonic_partials_on_strings.svg.png 2x" data-file-width="620" data-file-height="590" /></a><figcaption>Vibrational modes of an ideal string, dividing the string length into integer divisions, producing <a href="/wiki/Harmonic" title="Harmonic">harmonic</a> partials f, 2f, 3f, 4f, etc. (where f means fundamental frequency).</figcaption></figure> <p>An <b>overtone</b> is any resonant frequency above the <a href="/wiki/Fundamental_frequency" title="Fundamental frequency">fundamental frequency</a> of a sound. (An overtone may or may not be a harmonic)<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> In other words, overtones are all pitches higher than the lowest pitch within an individual sound; the fundamental is the lowest pitch. While the fundamental is usually heard most prominently, overtones are actually present in any pitch except a true <a href="/wiki/Sine_wave" title="Sine wave">sine wave</a>.<sup id="cite_ref-Fineberg_2-0" class="reference"><a href="#cite_note-Fineberg-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> The relative volume or <a href="/wiki/Amplitude" title="Amplitude">amplitude</a> of various overtone partials is one of the key identifying features of timbre, or the individual characteristic of a sound.<sup id="cite_ref-hinds513_3-0" class="reference"><a href="#cite_note-hinds513-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p><p>Using the model of <a href="/wiki/Fourier_analysis" title="Fourier analysis">Fourier analysis</a>, the fundamental and the overtones together are called <a href="/wiki/Harmonic_series_(music)#Partial" title="Harmonic series (music)">partials</a>. <a href="/wiki/Harmonics" class="mw-redirect" title="Harmonics">Harmonics</a>, or more precisely, harmonic partials, are partials whose frequencies are numerical integer multiples of the fundamental (including the fundamental, which is 1 times itself). These overlapping terms are variously used when discussing the acoustic behavior of musical instruments.<sup id="cite_ref-etymology_4-0" class="reference"><a href="#cite_note-etymology-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> (See <a class="mw-selflink-fragment" href="#Etymology">etymology</a> below.) The model of Fourier analysis provides for the inclusion of inharmonic partials, which are partials whose frequencies are not whole-number ratios of the fundamental (such as 1.1 or 2.14179). </p> <figure class="mw-default-size" typeof="mw:File/Thumb"><span><audio id="mwe_player_0" controls="" preload="none" data-mw-tmh="" class="mw-file-element" width="220" style="width:220px;" data-durationhint="17" data-mwtitle="Overtones_Demo.ogg" data-mwprovider="wikimediacommons" resource="/wiki/File:Overtones_Demo.ogg"><source src="//upload.wikimedia.org/wikipedia/commons/2/2f/Overtones_Demo.ogg" type="audio/ogg; codecs="vorbis"" data-width="0" data-height="0" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/2/2f/Overtones_Demo.ogg/Overtones_Demo.ogg.mp3" type="audio/mpeg" data-transcodekey="mp3" data-width="0" data-height="0" /></audio></span><figcaption>Main tone (110 Hz) and first 15 overtones (16 harmonic partials) (listen)</figcaption></figure> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Allowed_and_forbidden_standing_waves.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c3/Allowed_and_forbidden_standing_waves.png/220px-Allowed_and_forbidden_standing_waves.png" decoding="async" width="220" height="156" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c3/Allowed_and_forbidden_standing_waves.png/330px-Allowed_and_forbidden_standing_waves.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c3/Allowed_and_forbidden_standing_waves.png/440px-Allowed_and_forbidden_standing_waves.png 2x" data-file-width="1000" data-file-height="711" /></a><figcaption>Allowed and forbidden <a href="/wiki/Standing_wave" title="Standing wave">standing waves</a>, and thus harmonics</figcaption></figure> <p>When a resonant system such as a blown pipe or plucked string is excited, a number of overtones may be produced along with the fundamental tone. In simple cases, such as for most musical instruments, the <a href="/wiki/Frequency" title="Frequency">frequencies</a> of these tones are the same as (or close to) the harmonics. Examples of exceptions include the circular <a href="/wiki/Drum" title="Drum">drum</a> – a <a href="/wiki/Timpani" title="Timpani">timpano</a> whose first overtone is about 1.6 times its fundamental resonance frequency,<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Gong" title="Gong">gongs</a> and <a href="/wiki/Cymbal" title="Cymbal">cymbals</a>, and <a href="/wiki/Brass_instruments" class="mw-redirect" title="Brass instruments">brass instruments</a>. The human <a href="/wiki/Vocal_tract" title="Vocal tract">vocal tract</a> is able to produce highly variable amplitudes of the overtones, called <a href="/wiki/Formants" class="mw-redirect" title="Formants">formants</a>, which define different <a href="/wiki/Vowel" title="Vowel">vowels</a>.<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Explanation">Explanation</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Overtone&action=edit&section=1" title="Edit section: Explanation"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Most <a href="/wiki/Oscillators" class="mw-redirect" title="Oscillators">oscillators</a>, from a plucked guitar string to a flute that is blown, will naturally vibrate at a series of distinct frequencies known as <a href="/wiki/Normal_mode" title="Normal mode">normal modes</a>. The lowest normal mode frequency is known as the <a href="/wiki/Fundamental_frequency" title="Fundamental frequency">fundamental frequency</a>, while the higher frequencies are called overtones. Often, when an oscillator is excited — for example, by plucking a guitar string — it will oscillate at several of its modal frequencies at the same time. So when a note is played, this gives the sensation of hearing other frequencies (overtones) above the lowest frequency (the fundamental). </p><p><a href="/wiki/Timbre" title="Timbre">Timbre</a> is the quality that gives the listener the ability to distinguish between the sound of different instruments. The timbre of an instrument is determined by which overtones it emphasizes. That is to say, the relative volumes of these overtones to each other determines the specific "flavor", "color" or "tone" of sound of that family of instruments. The intensity of each of these overtones is rarely constant for the duration of a note. Over time, different overtones may decay at different rates, causing the relative intensity of each overtone to rise or fall independent of the overall volume of the sound. A carefully trained ear can hear these changes even in a single note. This is why the timbre of a note may be perceived differently when played <a href="/wiki/Staccato" title="Staccato">staccato</a> or <a href="/wiki/Legato" title="Legato">legato</a>. </p><p>A driven non-linear oscillator, such as the <a href="/wiki/Vocal_folds" class="mw-redirect" title="Vocal folds">vocal folds</a>, a blown wind instrument, or a bowed violin string (but not a struck guitar string or bell) will oscillate in a periodic, non-sinusoidal manner. This generates the impression of sound at integer multiple frequencies of the fundamental known as <a href="/wiki/Harmonics" class="mw-redirect" title="Harmonics">harmonics</a>, or more precisely, harmonic partials. For most string instruments and other long and thin instruments such as a bassoon, the first few overtones are quite close to integer multiples of the fundamental frequency, producing an approximation to a <a href="/wiki/Harmonic_series_(music)" title="Harmonic series (music)">harmonic series</a>. Thus, in music, overtones are often called harmonics. Depending upon how the string is plucked or bowed, different overtones can be emphasized. </p><p>However, some overtones in some instruments may not be of a close integer multiplication of the fundamental frequency, thus causing a small <a href="/wiki/Consonance_and_dissonance" title="Consonance and dissonance">dissonance</a>. "High quality" instruments are usually built in such a manner that their individual notes do not create disharmonious overtones. In fact, the flared end of a brass instrument is not to make the instrument sound louder, but to correct for tube length “end effects” that would otherwise make the overtones significantly different from integer harmonics. This is illustrated by the following: </p><p>Consider a guitar string. Its idealized 1st overtone would be exactly twice its fundamental if its length were shortened by ½, perhaps by lightly pressing a guitar string at the 12th <a href="/wiki/Fret" title="Fret">fret</a>; however, if a vibrating string is examined, it will be seen that the string does not vibrate flush to the bridge and nut, but it instead has a small “dead length” of string at each end.<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> This dead length actually varies from string to string, being more pronounced with thicker and/or stiffer strings. This means that halving the physical string length does not halve the actual string vibration length, and, hence, the overtones will not be exact multiples of a fundamental frequency. The effect is so pronounced that properly set up guitars will angle the bridge such that the thinner strings will progressively have a length up to few millimeters shorter than the thicker strings. Not doing so would result in inharmonious chords made up of two or more strings. Similar considerations apply to tube instruments. </p> <div class="mw-heading mw-heading2"><h2 id="Musical_usage_term">Musical usage term</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Overtone&action=edit&section=2" title="Edit section: Musical usage term"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Overtones_(most_properly_numbered)_of_closed_pipe.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5a/Overtones_%28most_properly_numbered%29_of_closed_pipe.png/310px-Overtones_%28most_properly_numbered%29_of_closed_pipe.png" decoding="async" width="310" height="285" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5a/Overtones_%28most_properly_numbered%29_of_closed_pipe.png/465px-Overtones_%28most_properly_numbered%29_of_closed_pipe.png 1.5x, //upload.wikimedia.org/wikipedia/commons/5/5a/Overtones_%28most_properly_numbered%29_of_closed_pipe.png 2x" data-file-width="480" data-file-height="442" /></a><figcaption>Physical representation of third<sup id="cite_ref-rm1_8-0" class="reference"><a href="#cite_note-rm1-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> (<i>O</i><sub>3</sub>) and fifth (<i>O</i><sub>5</sub>) overtones of a cylindrical pipe closed at one end. <i>F</i> is the fundamental frequency; the third overtone is the third harmonic, 3<i>F</i>, and the fifth overtone is the fifth harmonic, 5<i>F</i> for such a pipe, which is a good model for a <a href="/wiki/Pan_flute" title="Pan flute">pan flute</a>.</figcaption></figure> <p>An overtone is a partial (a "partial wave" or "constituent frequency") that can be either a harmonic partial (a <a href="/wiki/Harmonic" title="Harmonic">harmonic</a>) other than the fundamental, or an <a href="/wiki/Inharmonic" class="mw-redirect" title="Inharmonic">inharmonic</a> partial. A <a href="/wiki/Harmonic" title="Harmonic">harmonic</a> frequency is an integer multiple of the fundamental frequency. An <a href="/wiki/Inharmonic" class="mw-redirect" title="Inharmonic">inharmonic</a> frequency is a non-integer multiple of a fundamental frequency. </p><p>An example of harmonic overtones: (absolute harmony) </p> <table class="wikitable"> <tbody><tr class="hintergrundfarbe5"> <th>Frequency </th> <th>Order </th> <th>Name 1 </th> <th>Name 2 </th> <th>Name 3 </th></tr> <tr> <td><i>1 · f </i> =   440 Hz </td> <td><i>n = 1</i> </td> <td><a href="/wiki/Fundamental_tone" class="mw-redirect" title="Fundamental tone">fundamental tone</a> </td> <td>1st harmonic </td> <td>1st partial </td></tr> <tr> <td><i>2 · f </i> =   880 Hz </td> <td><i>n = 2</i> </td> <td>2nd overtone<sup id="cite_ref-rm1_8-1" class="reference"><a href="#cite_note-rm1-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </td> <td>2nd harmonic </td> <td>2nd partial </td></tr> <tr> <td><i>3 · f </i>= 1320 Hz </td> <td><i>n = 3</i> </td> <td>3rd overtone </td> <td>3rd harmonic </td> <td>3rd partial </td></tr> <tr> <td><i>4 · f </i>= 1760 Hz </td> <td><i>n = 4</i> </td> <td>4th overtone </td> <td>4th harmonic </td> <td>4th partial </td></tr></tbody></table> <p>Some musical instruments<sup class="noprint Inline-Template" style="white-space:nowrap;">[<i><a href="/wiki/Wikipedia:Avoid_weasel_words" class="mw-redirect" title="Wikipedia:Avoid weasel words"><span title="The material near this tag possibly uses too vague attribution or weasel words. (October 2020)">which?</span></a></i>]</sup> produce overtones that are slightly <a href="/wiki/Sharp_(music)" title="Sharp (music)">sharper</a> or <a href="/wiki/Flat_(music)" title="Flat (music)">flatter</a> than true harmonics. The sharpness or flatness of their overtones is one of the elements that contributes to their sound. Due to phase inconsistencies<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> between the fundamental and the partial harmonic, this also has the effect of making their waveforms not perfectly periodic. </p><p>Musical instruments that can create notes of any desired duration and definite pitch have harmonic partials. A tuning fork, provided it is sounded with a mallet (or equivalent) that is reasonably soft, has a tone that consists very nearly of the fundamental, alone; it has a sinusoidal waveform. Nevertheless, music consisting of pure sinusoids was found to be unsatisfactory in the early 20th century.<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Etymology">Etymology</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Overtone&action=edit&section=3" title="Edit section: Etymology"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In <a href="/wiki/Hermann_von_Helmholtz" title="Hermann von Helmholtz">Hermann von Helmholtz</a>'s classic "On The Sensations Of Tone" he used the German "Obertöne" which was a contraction of "Oberpartialtöne", or in English: "upper partial tones". According to Alexander Ellis (in pages 24–25 of his English translation of Helmholtz), the similarity of German "ober" to English "over" caused a Prof. Tyndall to mistranslate Helmholtz' term, thus creating "overtone".<sup id="cite_ref-etymology_4-1" class="reference"><a href="#cite_note-etymology-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> Ellis disparages the term "overtone" for its awkward implications. Because "overtone" makes the upper partials seem like such a distinct phenomena, it leads to the mathematical problem where the first overtone is the second partial. Also, unlike discussion of "partials", the word "overtone" has connotations that have led people to wonder about the presence of "<a href="/wiki/Subharmonic" class="mw-redirect" title="Subharmonic">undertones</a>" (a term sometimes confused with "<a href="/wiki/Combination_tone" title="Combination tone">difference tones</a>" but also used in speculation about a hypothetical "<a href="/wiki/Undertone_series" title="Undertone series">undertone series</a>"). </p> <div class="mw-heading mw-heading3"><h3 id=""Overtones"_in_choral_music"><span id=".22Overtones.22_in_choral_music"></span>"Overtones" in choral music</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Overtone&action=edit&section=4" title="Edit section: "Overtones" in choral music"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In <a href="/wiki/Barbershop_music" title="Barbershop music">barbershop music</a>, a style of four-part singing, the word <i>overtone</i> is often used in a related but particular manner. It refers to a <a href="/wiki/Psychoacoustic" class="mw-redirect" title="Psychoacoustic">psychoacoustic</a> effect in which a listener hears an audible pitch that is higher than, and different from, the fundamentals of the four pitches being sung by the quartet. The barbershop singer's "overtone" is created by the interactions of the upper partial tones in each singer's note (and by sum and difference frequencies created by nonlinear interactions within the ear). Similar effects can be found in other <i>a cappella</i> polyphonic music such as the music of the <a href="/wiki/Georgia_(country)" title="Georgia (country)">Republic of Georgia</a> and the <a href="/wiki/Music_of_Sardinia" title="Music of Sardinia">Sardinian</a> <i><a href="/wiki/Cantu_a_tenore" title="Cantu a tenore">cantu a tenore</a></i>. Overtones are naturally highlighted when singing in a particularly resonant space, such as a church; one theory of the development of <a href="/wiki/Polyphony" title="Polyphony">polyphony</a> in Europe holds that singers of <a href="/wiki/Gregorian_chant" title="Gregorian chant">Gregorian chant</a>, originally monophonic, began to hear the overtones of their monophonic song and to imitate these pitches - with the fifth, octave, and major third being the loudest vocal overtones, it is one explanation of the development of the <a href="/wiki/Triad_(music)" title="Triad (music)">triad</a> and the idea of <a href="/wiki/Consonance" class="mw-redirect" title="Consonance">consonance</a> in music. </p><p>The first step in composing choral music with overtone singing is to discover what the singers can be expected to do successfully without extensive practice. The second step is to find a musical context in which those techniques could be effective, not mere special effects. It was initially hypothesized that beginners would be able to:<sup id="cite_ref-hnm_11-0" class="reference"><a href="#cite_note-hnm-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> </p> <ul><li><a href="/wiki/Glissando" title="Glissando">glissando</a> through the partials of a given fundamental, ascending or descending, fast, or slow</li> <li>use vowels/text for relative pitch gestures on indeterminate partials specifying the given shape without specifying particular partials</li> <li>improvise on partials of the given fundamental, <a href="/wiki/Ad_libitum" title="Ad libitum"><i>ad lib.</i></a>, freely, or in giving style or manner</li> <li>find and sustain a particular partial (requires interval recognition)</li> <li>by extension, move to an adjacent partial, above or below, and alternate between the two</li></ul> <p>Singers should not be asked to change the fundamental pitch while overtone singing and changing partials should always be to an adjacent partial. When a particular partial is to be specified, time should be allowed (a beat or so) for the singers to get the harmonics to "speak" and find the correct one.<sup id="cite_ref-hnm_11-1" class="reference"><a href="#cite_note-hnm-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="String_instruments">String instruments</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Overtone&action=edit&section=5" title="Edit section: String instruments"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951" /><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/String_harmonic" title="String harmonic">String harmonic</a></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Flageolette.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/61/Flageolette.svg/330px-Flageolette.svg.png" decoding="async" width="330" height="374" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/61/Flageolette.svg/495px-Flageolette.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/61/Flageolette.svg/660px-Flageolette.svg.png 2x" data-file-width="600" data-file-height="680" /></a><figcaption>Playing a harmonic on a string. Here, "+7" indicates that the string is held down at the position for raising the pitch by 7 half notes, that is, at the seventh fret for a fretted instrument.</figcaption></figure> <p>String instruments can also produce multiphonic tones when strings are divided in two pieces or the sound is somehow distorted. The <a href="/wiki/Sitar" title="Sitar">sitar</a> has sympathetic strings which help to bring out the overtones while one is playing. The overtones are also highly important in the <a href="/wiki/Tanpura" title="Tanpura">tanpura</a>, the drone instrument in traditional <a href="/wiki/Music_of_India" title="Music of India">North and South Indian music</a>, in which loose strings tuned at octaves and fifths are plucked and designed to buzz to create sympathetic resonance and highlight the cascading sound of the overtones. </p><p>Western string instruments, such as the <a href="/wiki/Violin" title="Violin">violin</a>, may be played close to the bridge (a technique called "<a href="/wiki/Sul_ponticello" class="mw-redirect" title="Sul ponticello">sul ponticello</a><sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup>" or "am Steg") which causes the note to split into overtones while attaining a distinctive glassy, metallic sound. Various techniques of <a href="/wiki/Bowed_string_instrument_extended_technique" title="Bowed string instrument extended technique">bow pressure</a> may also be used to bring out the overtones, as well as using string nodes to produce natural harmonics. On violin family instruments, overtones can be played with the bow or by plucking. Scores and parts for Western violin family instruments indicate where the performer is to play harmonics. The most well-known technique on a guitar is playing <a href="/wiki/Flageolet_tone" class="mw-redirect" title="Flageolet tone">flageolet tones</a> or using <a href="/wiki/Distortion" title="Distortion">distortion</a> effects. The ancient Chinese instrument the <a href="/wiki/Guqin" title="Guqin">guqin</a> contains a scale based on the knotted positions of overtones. The Vietnamese <a href="/wiki/%C4%90%C3%A0n_b%E1%BA%A7u" title="Đàn bầu">đàn bầu</a> functions on flageolet tones. Other multiphonic <a href="/wiki/Extended_techniques" class="mw-redirect" title="Extended techniques">extended techniques</a> used are <a href="/wiki/Prepared_piano" title="Prepared piano">prepared piano</a>, <a href="/wiki/Prepared_guitar" title="Prepared guitar">prepared guitar</a> and <a href="/wiki/3rd_bridge" title="3rd bridge">3rd bridge</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Wind_instruments">Wind instruments</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Overtone&action=edit&section=6" title="Edit section: Wind instruments"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Wind instruments manipulate the overtone series significantly in the normal production of sound, but various playing techniques may be used to produce <a href="/wiki/Multiphonics" class="mw-redirect" title="Multiphonics">multiphonics</a> which bring out the overtones of the instrument. On many woodwind instruments, alternate fingerings are used. "Overblowing<sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup>", or adding intensely exaggerated air pressure, can also cause notes to split into their overtones. In brass instruments, multiphonics may be produced by singing into the instrument while playing a note at the same time, causing the two pitches to interact - if the sung pitch is at specific harmonic intervals with the played pitch, the two sounds will blend and produce additional notes by the phenomenon of <a href="/wiki/Sum_and_difference_tones" class="mw-redirect" title="Sum and difference tones">sum and difference tones</a>. </p><p>Non-western wind instruments also exploit overtones in playing, and some may highlight the overtone sound exceptionally. Instruments like the <a href="/wiki/Didgeridoo" title="Didgeridoo">didgeridoo</a> are highly dependent on the interaction and manipulation of overtones achieved by the performer changing their mouth shape while playing, or singing and playing simultaneously. Likewise, when playing a <a href="/wiki/Harmonica" title="Harmonica">harmonica</a> or <a href="/wiki/Pitch_pipe" title="Pitch pipe">pitch pipe</a>, one may alter the shape of their mouth to amplify specific overtones. Though not a wind instrument, a similar technique is used for playing the <a href="/wiki/Jaw_harp" class="mw-redirect" title="Jaw harp">jaw harp</a>: the performer amplifies the instrument's overtones by changing the shape, and therefore the <a href="/wiki/Acoustic_resonance" title="Acoustic resonance">resonance</a>, of their <a href="/wiki/Vocal_tract" title="Vocal tract">vocal tract</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Brass_Instruments">Brass Instruments</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Overtone&action=edit&section=7" title="Edit section: Brass Instruments"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Brass instruments originally had no valves, and could only play the notes in the natural overtone, or harmonic series.<sup id="cite_ref-sj1_14-0" class="reference"><a href="#cite_note-sj1-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> </p><p>Brass instruments still rely heavily on the overtone series to produce notes: the <a href="/wiki/Tuba" title="Tuba">tuba</a> typically has 3-4 valves, the tenor <a href="/wiki/Trombone" title="Trombone">trombone</a> has 7 slide positions, the <a href="/wiki/Trumpet" title="Trumpet">trumpet</a> has 3 valves, and the <a href="/wiki/French_horn" title="French horn">French horn</a> typically has 4 valves. Each instrument can play (within their respective ranges) the notes of the overtone series in different keys with each fingering combination (open, 1, 2, 12, 123, etc). The role of each valve or rotor (excluding trombone) is as follows: 1st valve lowers major 2nd, 2nd valve lowers minor 2nd, 3rd valve-lowers minor 3rd, 4th valve-lowers perfect 4th (found on piccolo trumpet, certain euphoniums, and many tubas).<sup id="cite_ref-BTP_15-0" class="reference"><a href="#cite_note-BTP-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> The French horn has a trigger key that opens other tubing and is pitched a perfect fourth higher; this allows for greater ease between different registers of the instrument.<sup id="cite_ref-BTP_15-1" class="reference"><a href="#cite_note-BTP-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> Valves allow brass instruments to play chromatic notes, as well as notes within the overtone series (open valve = C overtone series, 2nd valve = B overtone series on the C Trumpet) by changing air speed and lip vibrations. </p><p>The <a href="/wiki/Tuba" title="Tuba">tuba</a>, <a href="/wiki/Trombone" title="Trombone">trombone</a>, and <a href="/wiki/Trumpet" title="Trumpet">trumpet</a> play notes within the first few octaves of the overtone series, where the partials are farther apart. The <a href="/wiki/French_horn" title="French horn">French horn</a> sounds notes in a higher octave of the overtone series, so the partials are closer together and make it more difficult to play the correct pitches and partials.<sup id="cite_ref-sj1_14-1" class="reference"><a href="#cite_note-sj1-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Overtone_singing">Overtone singing</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Overtone&action=edit&section=8" title="Edit section: Overtone singing"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Overtone_singing" title="Overtone singing">Overtone singing</a> is a traditional form of singing in many parts of the <a href="/wiki/Himalayas" title="Himalayas">Himalayas</a> and <a href="/wiki/Altay_Mountains" class="mw-redirect" title="Altay Mountains">Altay</a>; Tibetans, Mongols and Tuvans are known for their overtone singing. In these contexts it is often referred to as <a href="/wiki/Overtone_singing" title="Overtone singing">throat singing</a> or <a href="/wiki/Tuvan_throat_singing" title="Tuvan throat singing">khoomei</a>, though it should not be confused with <a href="/wiki/Inuit_throat_singing" title="Inuit throat singing">Inuit throat singing</a>, which is produced by different means. There is also the possibility to create the overtone out of fundamental tones without any stress on the throat. </p><p>Also, the overtone is very important in singing to take care of vocal tract shaping, to improve color, resonance, and text declamation. During practice overtone singing, it helps the singer to remove unnecessary pressure on the muscle, especially around the throat. So if one can "find" a single overtone, then one will know where the sensation needs to be in order to bring out vocal resonance in general, helping to find the resonance in one's own voice on any vowel and in any register.<sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Overtones_in_music_composition">Overtones in music composition</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Overtone&action=edit&section=9" title="Edit section: Overtones in music composition"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The primacy of the <a href="/wiki/Triad_(music)" title="Triad (music)">triad</a> in Western harmony comes from the first four partials of the overtone series. The eighth through fourteenth partials resemble the equal tempered <a href="/wiki/Acoustic_scale" title="Acoustic scale">acoustic scale</a>: </p> <dl><dd><div class="mw-ext-score noresize" data-midi="//upload.wikimedia.org/score/7/r/7ramr17v721hu88jsc64z9527lyxkx0/7ramr17v.midi"><img src="//upload.wikimedia.org/score/7/r/7ramr17v721hu88jsc64z9527lyxkx0/7ramr17v.png" width="221" height="61" alt=" {
\override Score.TimeSignature #'stencil = ##f
\relative c' {
 \clef treble \time 7/4
 c4^\markup { Acoustic scale on C } d e fis g a bes c
} }
" /><div style="margin-top: 3px;"><audio controls=""><source src="//upload.wikimedia.org/score/7/r/7ramr17v721hu88jsc64z9527lyxkx0/7ramr17v.mp3" type="audio/mpeg" /><div>Audio playback is not supported in your browser. You can <a href="//upload.wikimedia.org/score/7/r/7ramr17v721hu88jsc64z9527lyxkx0/7ramr17v.mp3">download the audio file</a>.</div></audio></div></div></dd></dl> <p>When this scale is rendered as a chord, it is called the lydian dominant thirteenth chord.<sup id="cite_ref-levine_17-0" class="reference"><a href="#cite_note-levine-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> This chord appears throughout Western music, but is notably used as the basis of <a href="/wiki/Lydian_dominant" class="mw-redirect" title="Lydian dominant">jazz harmony</a>, features prominently in the music of <a href="/wiki/Franz_Liszt" title="Franz Liszt">Franz Liszt</a>, <a href="/wiki/Claude_Debussy" title="Claude Debussy">Claude Debussy</a>,<sup id="cite_ref-Don_61–73_18-0" class="reference"><a href="#cite_note-Don_61–73-18"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Maurice_Ravel" title="Maurice Ravel">Maurice Ravel</a>, and appears as the <a href="/wiki/Mystic_chord" title="Mystic chord">Mystic chord</a> in the music of <a href="/wiki/Alexander_Scriabin" title="Alexander Scriabin">Alexander Scriabin</a>.<sup id="cite_ref-Russell_19-0" class="reference"><a href="#cite_note-Russell-19"><span class="cite-bracket">[</span>19<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-jameson_20-0" class="reference"><a href="#cite_note-jameson-20"><span class="cite-bracket">[</span>20<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-Scriabin_21-0" class="reference"><a href="#cite_note-Scriabin-21"><span class="cite-bracket">[</span>21<span class="cite-bracket">]</span></a></sup> </p> <div class="thumb tright" style=""><div class="thumbinner" style="width:302px"><div class="thumbimage noresize" style="width:300px;"> <div class="mw-ext-score noresize" data-midi="//upload.wikimedia.org/score/g/e/ger49rltzucya8k9yb3vnrno5xq7mqs/ger49rlt.midi"><img src="//upload.wikimedia.org/score/g/e/ger49rltzucya8k9yb3vnrno5xq7mqs/ger49rlt.png" width="93" height="126" alt="
\new PianoStaff <<
 { \omit Score.TimeSignature }
 \new Staff { <e' g' c'' e'' g'' c'''>1 }
 \new Staff { \clef bass <c, c g c'>1 }
>>
" /><div style="margin-top: 3px;"><audio controls=""><source src="//upload.wikimedia.org/score/g/e/ger49rltzucya8k9yb3vnrno5xq7mqs/ger49rlt.mp3" type="audio/mpeg" /><div>Audio playback is not supported in your browser. You can <a href="//upload.wikimedia.org/score/g/e/ger49rltzucya8k9yb3vnrno5xq7mqs/ger49rlt.mp3">download the audio file</a>.</div></audio></div></div></div><div class="thumbcaption">Rimsky-Korsakov's voicing of a C major triad, consisting of the fundamental and partials 1, 2, 3, 4, 5, 6, 8, 10, 12, and 16.</div></div></div> <p>Because the overtone series rises infinitely from the fundamental with no periodicity, in Western music the <a href="/wiki/Equal_temperament" title="Equal temperament">equal temperament</a> scale was designed to create synchronicity between different octaves.<sup id="cite_ref-Fineberg_2-1" class="reference"><a href="#cite_note-Fineberg-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-Suitsphysics_22-0" class="reference"><a href="#cite_note-Suitsphysics-22"><span class="cite-bracket">[</span>22<span class="cite-bracket">]</span></a></sup> This was achieved by de-tuning certain intervals, such as the <a href="/wiki/Perfect_fifth" title="Perfect fifth">perfect fifth</a>. A true perfect fifth is 702 <a href="/wiki/Cent_(music)" title="Cent (music)">cents</a> above the fundamental, but equal temperament flattens it by two cents. The difference is only barely perceptible, and allows both for the illusion of the scale being in-tune with itself across multiple octaves, and for tonalities based on all 12 chromatic notes to sound in-tune.<sup id="cite_ref-Sauswolfy_23-0" class="reference"><a href="#cite_note-Sauswolfy-23"><span class="cite-bracket">[</span>23<span class="cite-bracket">]</span></a></sup> </p><p>Western classical composers have also made use of the overtone series through orchestration. In his treatise "Principles of Orchestration," Russian composer <a href="/wiki/Nikolai_Rimsky-Korsakov" title="Nikolai Rimsky-Korsakov">Nikolai Rimsky-Korsakov</a> says the overtone series "may serve as a guide to the orchestral arrangement of chords".<sup id="cite_ref-24" class="reference"><a href="#cite_note-24"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup> Rimsky-Korsakov then demonstrates how to voice a C major triad according to the overtone series, using partials 1, 2, 3, 4, 5, 6, 8, 10, 12, and 16. </p><p>In the 20th century, exposure to non-Western music and further scientific acoustical discoveries led some Western composers to explore alternate tuning systems. <a href="/wiki/Harry_Partch" title="Harry Partch">Harry Partch</a> for example designed a tuning system that divides the octave into 43 tones, with each tone based on the overtone series.<sup id="cite_ref-25" class="reference"><a href="#cite_note-25"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup> The music of <a href="/wiki/Ben_Johnston_(composer)" title="Ben Johnston (composer)">Ben Johnston</a> uses many different tuning systems, including his String Quartet No. 5 which divides the octave into more than 100 tones.<sup id="cite_ref-26" class="reference"><a href="#cite_note-26"><span class="cite-bracket">[</span>26<span class="cite-bracket">]</span></a></sup> </p><p><a href="/wiki/Spectral_music" title="Spectral music">Spectral music</a> is a genre developed by <a href="/wiki/G%C3%A9rard_Grisey" title="Gérard Grisey">Gérard Grisey</a> and <a href="/wiki/Tristan_Murail" title="Tristan Murail">Tristan Murail</a> in the 1970s and 80s, under the auspices of <a href="/wiki/IRCAM" title="IRCAM">IRCAM</a>. Broadly, spectral music deals with resonance and acoustics as compositional elements. For example, in Grisey's seminal work <i><a href="/wiki/Partiels" title="Partiels">Partiels</a></i>, the composer used a <a href="/wiki/Spectrogram" title="Spectrogram">sonogram</a> to analyze the true sonic characteristics of the lowest note on a tenor trombone (E2).<sup id="cite_ref-Fineberg_2-2" class="reference"><a href="#cite_note-Fineberg-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> The analysis revealed which overtones were most prominent from that sound, and <i>Partiels</i> was then composed around the analysis. Another seminal spectral work is Tristan Murail's <i>Gondwana</i> for orchestra. This work begins with a spectral analysis of a bell, and gradually transforms it into the spectral analysis of a brass instrument.<sup id="cite_ref-Fineberg_2-3" class="reference"><a href="#cite_note-Fineberg-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> Other spectralists and post-spectralists include <a href="/wiki/Jonathan_Harvey_(composer)" title="Jonathan Harvey (composer)">Jonathan Harvey</a>, <a href="/wiki/Kaija_Saariaho" title="Kaija Saariaho">Kaija Saariaho</a>, and <a href="/wiki/Georg_Friedrich_Haas" title="Georg Friedrich Haas">Georg Friedrich Haas</a>. </p><p><a href="/wiki/John_Luther_Adams" title="John Luther Adams">John Luther Adams</a> is known for his extensive use of the overtone series, as well as his tendency to allow musicians to make their own groupings and play at their own pace to alter the sonic experience.<sup id="cite_ref-ts_27-0" class="reference"><a href="#cite_note-ts-27"><span class="cite-bracket">[</span>27<span class="cite-bracket">]</span></a></sup> For example, his piece <i>Sila: The Breath of the World</i> can be played by 16 to 80 musicians and are separated into their own groups. The piece is set on sixteen "harmonic clouds" that are grounded on the first sixteen overtones of low B-flat. Another example is John Luther Adam's piece <i>Everything That Rises</i>, which grew out of his piece <i>Sila: The Breath of the World</i>. <i>Everything That Rises</i> is a piece for string quartet that has sixteen harmonic clouds that are built off of the fundamental tone (C0)<sup id="cite_ref-28" class="reference"><a href="#cite_note-28"><span class="cite-bracket">[</span>28<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Overtone&action=edit&section=10" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Combination_tone" title="Combination tone">Combination tone</a></li> <li><a href="/wiki/Harmonic" title="Harmonic">Harmonic</a></li> <li><a href="/wiki/Just_intonation" title="Just intonation">Just intonation</a></li> <li><a href="/wiki/Mersenne%27s_laws" title="Mersenne's laws">Mersenne's laws</a></li> <li><a href="/wiki/Overtone_band" title="Overtone band">Overtone band</a> (in vibrational spectroscopy)</li> <li><a href="/wiki/Scale_of_harmonics" title="Scale of harmonics">Scale of harmonics</a></li> <li><a href="/wiki/Stretched_octave" class="mw-redirect" title="Stretched octave">Stretched octave</a></li> <li><a href="/wiki/Undertone_series" title="Undertone series">Undertone series</a></li> <li><a href="/wiki/Xenharmonic_music" title="Xenharmonic music">Xenharmonic music</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Overtone&action=edit&section=11" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://hyperphysics.phy-astr.gsu.edu/hbase/Music/otone.html">"Overtones and Harmonics"</a>. <i>hyperphysics.phy-astr.gsu.edu</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2020-10-26</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=hyperphysics.phy-astr.gsu.edu&rft.atitle=Overtones+and+Harmonics&rft_id=http%3A%2F%2Fhyperphysics.phy-astr.gsu.edu%2Fhbase%2FMusic%2Fotone.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-Fineberg-2"><span class="mw-cite-backlink">^ <a href="#cite_ref-Fineberg_2-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Fineberg_2-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-Fineberg_2-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-Fineberg_2-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFFineberg2000" class="citation journal cs1">Fineberg, Joshua (2000). <a rel="nofollow" class="external text" href="http://www.muratyakin.com/BUDK-Dersler/2016Guz/Kompozisyon%20Semineri/2016-10-04_MAKALE02_FinebergJoshua-Guide_to_the_Basic_Concepts_and_Techniques_of_Spectral_Music.pdf">"Guide to the Basic Concepts and Techniques of Spectral Music"</a> <span class="cs1-format">(PDF)</span>. <i>Contemporary Music Review</i>. <b>19</b> (2): <span class="nowrap">81–</span>113. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1080%2F07494460000640271">10.1080/07494460000640271</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:191456235">191456235</a>. <a rel="nofollow" class="external text" href="https://ghostarchive.org/archive/20221009/http://www.muratyakin.com/BUDK-Dersler/2016Guz/Kompozisyon%20Semineri/2016-10-04_MAKALE02_FinebergJoshua-Guide_to_the_Basic_Concepts_and_Techniques_of_Spectral_Music.pdf">Archived</a> <span class="cs1-format">(PDF)</span> from the original on 2022-10-09<span class="reference-accessdate">. Retrieved <span class="nowrap">28 February</span> 2021</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Contemporary+Music+Review&rft.atitle=Guide+to+the+Basic+Concepts+and+Techniques+of+Spectral+Music&rft.volume=19&rft.issue=2&rft.pages=%3Cspan+class%3D%22nowrap%22%3E81-%3C%2Fspan%3E113&rft.date=2000&rft_id=info%3Adoi%2F10.1080%2F07494460000640271&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A191456235%23id-name%3DS2CID&rft.aulast=Fineberg&rft.aufirst=Joshua&rft_id=http%3A%2F%2Fwww.muratyakin.com%2FBUDK-Dersler%2F2016Guz%2FKompozisyon%2520Semineri%2F2016-10-04_MAKALE02_FinebergJoshua-Guide_to_the_Basic_Concepts_and_Techniques_of_Spectral_Music.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-hinds513-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-hinds513_3-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFHinds2010" class="citation journal cs1">Hinds, Stuart (October 2010). "How to Teach Overtone Singing to Your Choir". <i>The Choral Journal</i>. <b>51</b> (3): <span class="nowrap">34–</span>43. <a href="/wiki/JSTOR_(identifier)" class="mw-redirect" title="JSTOR (identifier)">JSTOR</a> <a rel="nofollow" class="external text" href="https://www.jstor.org/stable/23560424">23560424</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=The+Choral+Journal&rft.atitle=How+to+Teach+Overtone+Singing+to+Your+Choir&rft.volume=51&rft.issue=3&rft.pages=%3Cspan+class%3D%22nowrap%22%3E34-%3C%2Fspan%3E43&rft.date=2010-10&rft_id=https%3A%2F%2Fwww.jstor.org%2Fstable%2F23560424%23id-name%3DJSTOR&rft.aulast=Hinds&rft.aufirst=Stuart&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-etymology-4"><span class="mw-cite-backlink">^ <a href="#cite_ref-etymology_4-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-etymology_4-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="/wiki/Alexander_John_Ellis" title="Alexander John Ellis">Alexander J. Ellis</a> (translating <a href="/wiki/Hermann_von_Helmholtz" title="Hermann von Helmholtz">Hermann von Helmholtz</a>): <i>On the Sensations of Tone as a Physiological Basis for the Theory of Music</i>, pp. 24, 25. 1885, reprinted by Dover Publications, New York, 1954.</span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text">Elena Prestini, <i>The Evolution of Applied Harmonic Analysis: Models of the Real World</i>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-8176-4125-4" title="Special:BookSources/0-8176-4125-4">0-8176-4125-4</a> (p140)</span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://hyperphysics.phy-astr.gsu.edu/hbase/Music/vowel.html">"Vowel Sounds"</a>. <i>hyperphysics.phy-astr.gsu.edu</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2021-02-28</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=hyperphysics.phy-astr.gsu.edu&rft.atitle=Vowel+Sounds&rft_id=http%3A%2F%2Fhyperphysics.phy-astr.gsu.edu%2Fhbase%2FMusic%2Fvowel.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://fretsource-guitar.weebly.com/natural-harmonics-map.html">"Natural Harmonics Map"</a>. <i>Fretsource</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2021-02-27</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Fretsource&rft.atitle=Natural+Harmonics+Map&rft_id=https%3A%2F%2Ffretsource-guitar.weebly.com%2Fnatural-harmonics-map.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-rm1-8"><span class="mw-cite-backlink">^ <a href="#cite_ref-rm1_8-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-rm1_8-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFHugo_Riemann1876" class="citation book cs1"><a href="/wiki/Hugo_Riemann" title="Hugo Riemann">Hugo Riemann</a> (1876). <a rel="nofollow" class="external text" href="https://imslp.org/wiki/Musiklexikon_(Riemann,_Hugo)"><i>Dictionary of Music</i></a>. Translated by John South Shedlock. London: Augener. p. 143 – via <a href="/wiki/IMSLP" class="mw-redirect" title="IMSLP">IMSLP</a>. <q>let it be understood, the second overtone is not the third tone of the series, but the second.</q></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Dictionary+of+Music&rft.place=London&rft.pages=143&rft.pub=Augener&rft.date=1876&rft.au=Hugo+Riemann&rft_id=https%3A%2F%2Fimslp.org%2Fwiki%2FMusiklexikon_%28Riemann%2C_Hugo%29&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</a></b></span> <span class="reference-text">James Patrick, DS14<sup class="noprint Inline-Template" style="white-space:nowrap;">[<i><a href="/wiki/Wikipedia:CITESHORT" class="mw-redirect" title="Wikipedia:CITESHORT"><span title="More information is required to link this short citation to its long citation. (September 2021)">incomplete short citation</span></a></i>]</sup></span> </li> <li id="cite_note-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-10">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFShepard1982" class="citation cs2">Shepard, Roger N. (1982), "Structural Representations of Musical Pitch", in Deutsch, Diana (ed.), <i>Psychology of Music, A volume in Cognition and Perception</i>, Amsterdam: Elsevier, p. 346, citing H. J. Watt, <i>The Psychology of Sound,</i> p. 63 (Cambridge University Press, 1917</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Structural+Representations+of+Musical+Pitch&rft.btitle=Psychology+of+Music%2C+A+volume+in+Cognition+and+Perception&rft.place=Amsterdam&rft.pages=346%2C+citing+H.+J.+Watt%2C+%27%27The+Psychology+of+Sound%2C%27%27+p.+63+%28Cambridge+University+Press%2C+1917&rft.pub=Elsevier&rft.date=1982&rft.aulast=Shepard&rft.aufirst=Roger+N.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-hnm-11"><span class="mw-cite-backlink">^ <a href="#cite_ref-hnm_11-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-hnm_11-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFHinds2007" class="citation journal cs1">Hinds, Stuart (April 2007). "New Music for chorus with Overtone Singing". <i>The Choral Journal</i>. <b>47</b> (10). <a href="/wiki/American_Choral_Directors_Association" title="American Choral Directors Association">American Choral Directors Association</a>: <span class="nowrap">20–</span>31. <a href="/wiki/JSTOR_(identifier)" class="mw-redirect" title="JSTOR (identifier)">JSTOR</a> <a rel="nofollow" class="external text" href="https://www.jstor.org/stable/23557310">23557310</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=The+Choral+Journal&rft.atitle=New+Music+for+chorus+with+Overtone+Singing&rft.volume=47&rft.issue=10&rft.pages=%3Cspan+class%3D%22nowrap%22%3E20-%3C%2Fspan%3E31&rft.date=2007-04&rft_id=https%3A%2F%2Fwww.jstor.org%2Fstable%2F23557310%23id-name%3DJSTOR&rft.aulast=Hinds&rft.aufirst=Stuart&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-12"><span class="mw-cite-backlink"><b><a href="#cite_ref-12">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFAllen2003" class="citation book cs1">Allen, Strange (21 January 2003). <a rel="nofollow" class="external text" href="https://www.amazon.com/Contemporary-Violin-Performance-Techniques-Instrumentation-ebook/dp/B009D1FRF0"><i>The Contemporary Violin: Extended Performance Techniques</i></a>. Scarecrow Press<span class="reference-accessdate">. Retrieved <span class="nowrap">2021-02-27</span></span> – via www.amazon.com.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Contemporary+Violin%3A+Extended+Performance+Techniques&rft.pub=Scarecrow+Press&rft.date=2003-01-21&rft.aulast=Allen&rft.aufirst=Strange&rft_id=https%3A%2F%2Fwww.amazon.com%2FContemporary-Violin-Performance-Techniques-Instrumentation-ebook%2Fdp%2FB009D1FRF0&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-13"><span class="mw-cite-backlink"><b><a href="#cite_ref-13">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://hyperphysics.phy-astr.gsu.edu/hbase/Music/flute4.html">"Flute"</a>. <i>hyperphysics.phy-astr.gsu.edu</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2021-02-27</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=hyperphysics.phy-astr.gsu.edu&rft.atitle=Flute&rft_id=http%3A%2F%2Fhyperphysics.phy-astr.gsu.edu%2Fhbase%2FMusic%2Fflute4.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-sj1-14"><span class="mw-cite-backlink">^ <a href="#cite_ref-sj1_14-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-sj1_14-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFSchmidt-Jones2015" class="citation book cs1">Schmidt-Jones, Catherine (2015). <i>Sound, Physics, and Music</i>. CreateSpace Independent Publishing Platform.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Sound%2C+Physics%2C+and+Music&rft.pub=CreateSpace+Independent+Publishing+Platform&rft.date=2015&rft.aulast=Schmidt-Jones&rft.aufirst=Catherine&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-BTP-15"><span class="mw-cite-backlink">^ <a href="#cite_ref-BTP_15-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-BTP_15-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFWeidner2020" class="citation journal cs1">Weidner, Brian (24 August 2020). <a rel="nofollow" class="external text" href="https://pressbooks.palni.org/brasstechniquesandpedagogy/chapter/brass-acoustics/">"Brass Techniques and Pedagogy"</a>. <i>PalniPress</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=PalniPress&rft.atitle=Brass+Techniques+and+Pedagogy&rft.date=2020-08-24&rft.aulast=Weidner&rft.aufirst=Brian&rft_id=https%3A%2F%2Fpressbooks.palni.org%2Fbrasstechniquesandpedagogy%2Fchapter%2Fbrass-acoustics%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-16"><span class="mw-cite-backlink"><b><a href="#cite_ref-16">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFHinds2005" class="citation journal cs1">Hinds, Stuart (September 2005). "Argument for the Investigation and Use of Overtone Singing". <i>Journal of Singing</i>. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><a href="/wiki/ProQuest" title="ProQuest">ProQuest</a> <a rel="nofollow" class="external text" href="https://www.proquest.com/docview/1402609">1402609</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Journal+of+Singing&rft.atitle=Argument+for+the+Investigation+and+Use+of+Overtone+Singing&rft.date=2005-09&rft.aulast=Hinds&rft.aufirst=Stuart&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-levine-17"><span class="mw-cite-backlink"><b><a href="#cite_ref-levine_17-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFLevine1995" class="citation book cs1">Levine, Mark (1995). <a rel="nofollow" class="external text" href="https://www.shermusic.com/1883217040.php"><i>The Jazz Theory Book</i></a>. California: Sher Music Co. pp. <span class="nowrap">ix–</span>x. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/1883217040" title="Special:BookSources/1883217040"><bdi>1883217040</bdi></a><span class="reference-accessdate">. Retrieved <span class="nowrap">28 February</span> 2021</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Jazz+Theory+Book&rft.place=California&rft.pages=%3Cspan+class%3D%22nowrap%22%3Eix-%3C%2Fspan%3Ex&rft.pub=Sher+Music+Co.&rft.date=1995&rft.isbn=1883217040&rft.aulast=Levine&rft.aufirst=Mark&rft_id=https%3A%2F%2Fwww.shermusic.com%2F1883217040.php&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-Don_61–73-18"><span class="mw-cite-backlink"><b><a href="#cite_ref-Don_61–73_18-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFDon2001" class="citation journal cs1">Don, Gary W. (April 2001). "Brilliant Colors Provocatively Mixed: Overtone Structures in the Music of Debussy". <i><a href="/wiki/Music_Theory_Spectrum" title="Music Theory Spectrum">Music Theory Spectrum</a></i>. <b>23</b> (1): <span class="nowrap">61–</span>73. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1525%2Fmts.2001.23.1.61">10.1525/mts.2001.23.1.61</a>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/0195-6167">0195-6167</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Music+Theory+Spectrum&rft.atitle=Brilliant+Colors+Provocatively+Mixed%3A+Overtone+Structures+in+the+Music+of+Debussy&rft.volume=23&rft.issue=1&rft.pages=%3Cspan+class%3D%22nowrap%22%3E61-%3C%2Fspan%3E73&rft.date=2001-04&rft_id=info%3Adoi%2F10.1525%2Fmts.2001.23.1.61&rft.issn=0195-6167&rft.aulast=Don&rft.aufirst=Gary+W.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-Russell-19"><span class="mw-cite-backlink"><b><a href="#cite_ref-Russell_19-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFRussell2001" class="citation book cs1">Russell, George (2001). <i>The Lydian Chromatic Concept of Tonal Organization: The Art and Science of Tonal Gravity</i>. Brookline, MA: Concept Publishing Company. pp. <span class="nowrap">95–</span>96. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0970373908" title="Special:BookSources/978-0970373908"><bdi>978-0970373908</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Lydian+Chromatic+Concept+of+Tonal+Organization%3A+The+Art+and+Science+of+Tonal+Gravity&rft.place=Brookline%2C+MA&rft.pages=%3Cspan+class%3D%22nowrap%22%3E95-%3C%2Fspan%3E96&rft.pub=Concept+Publishing+Company&rft.date=2001&rft.isbn=978-0970373908&rft.aulast=Russell&rft.aufirst=George&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-jameson-20"><span class="mw-cite-backlink"><b><a href="#cite_ref-jameson_20-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFJameson1942" class="citation book cs1">Jameson, Elizabeth (1942). <a rel="nofollow" class="external text" href="https://digital.library.unt.edu/ark:/67531/metadc699677/m2/1/high_res_d/1002604177-Jameson.pdf"><i>A Stylistic Analysis of the Piano Works of Debussy and Ravel</i></a> <span class="cs1-format">(PDF)</span>. Denton, Texas: University of North Texas. p. 158. <a rel="nofollow" class="external text" href="https://ghostarchive.org/archive/20221009/https://digital.library.unt.edu/ark:/67531/metadc699677/m2/1/high_res_d/1002604177-Jameson.pdf">Archived</a> <span class="cs1-format">(PDF)</span> from the original on 2022-10-09.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=A+Stylistic+Analysis+of+the+Piano+Works+of+Debussy+and+Ravel&rft.place=Denton%2C+Texas&rft.pages=158&rft.pub=University+of+North+Texas&rft.date=1942&rft.aulast=Jameson&rft.aufirst=Elizabeth&rft_id=https%3A%2F%2Fdigital.library.unt.edu%2Fark%3A%2F67531%2Fmetadc699677%2Fm2%2F1%2Fhigh_res_d%2F1002604177-Jameson.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-Scriabin-21"><span class="mw-cite-backlink"><b><a href="#cite_ref-Scriabin_21-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFPeacock1985" class="citation journal cs1">Peacock, Kenneth (1985). "Synesthetic Perception: Alexander Scriabin's Color Hearing". <i><a href="/wiki/Music_Perception" title="Music Perception">Music Perception</a></i>. <b>2</b> (4): 496. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.2307%2F40285315">10.2307/40285315</a>. <a href="/wiki/JSTOR_(identifier)" class="mw-redirect" title="JSTOR (identifier)">JSTOR</a> <a rel="nofollow" class="external text" href="https://www.jstor.org/stable/40285315">40285315</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Music+Perception&rft.atitle=Synesthetic+Perception%3A+Alexander+Scriabin%27s+Color+Hearing&rft.volume=2&rft.issue=4&rft.pages=496&rft.date=1985&rft_id=info%3Adoi%2F10.2307%2F40285315&rft_id=https%3A%2F%2Fwww.jstor.org%2Fstable%2F40285315%23id-name%3DJSTOR&rft.aulast=Peacock&rft.aufirst=Kenneth&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-Suitsphysics-22"><span class="mw-cite-backlink"><b><a href="#cite_ref-Suitsphysics_22-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFSuits" class="citation web cs1">Suits, Bryan. <a rel="nofollow" class="external text" href="https://pages.mtu.edu/~suits/scales.html">"Scales: Just vs. Equal Temperament"</a>. <i>Physics of Music</i>. Michigan Technological University<span class="reference-accessdate">. Retrieved <span class="nowrap">28 February</span> 2021</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Physics+of+Music&rft.atitle=Scales%3A+Just+vs.+Equal+Temperament&rft.aulast=Suits&rft.aufirst=Bryan&rft_id=https%3A%2F%2Fpages.mtu.edu%2F~suits%2Fscales.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-Sauswolfy-23"><span class="mw-cite-backlink"><b><a href="#cite_ref-Sauswolfy_23-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFSaus" class="citation web cs1">Saus, Wolfgang. <a rel="nofollow" class="external text" href="https://www.oberton.org/en/overtone-singing/harmonic-series/">"The Harmonic Series"</a>. <i>Oberton</i><span class="reference-accessdate">. Retrieved <span class="nowrap">28 February</span> 2021</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Oberton&rft.atitle=The+Harmonic+Series&rft.aulast=Saus&rft.aufirst=Wolfgang&rft_id=https%3A%2F%2Fwww.oberton.org%2Fen%2Fovertone-singing%2Fharmonic-series%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-24"><span class="mw-cite-backlink"><b><a href="#cite_ref-24">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFRimsky-Korsakov1922" class="citation book cs1"><a href="/wiki/Nikolai_Rimsky-Korsakov" title="Nikolai Rimsky-Korsakov">Rimsky-Korsakov, Nikolai</a> (1922). <a rel="nofollow" class="external text" href="https://imslp.org/wiki/Principles_of_Orchestration_(Rimsky-Korsakov%2C_Nikolay)"><i>Principles of Orchestration</i></a> (2nd ed.). New York: Dover Publications. p. 67. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-486-21266-1" title="Special:BookSources/0-486-21266-1"><bdi>0-486-21266-1</bdi></a><span class="reference-accessdate">. Retrieved <span class="nowrap">28 February</span> 2021</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Principles+of+Orchestration&rft.place=New+York&rft.pages=67&rft.edition=2nd&rft.pub=Dover+Publications&rft.date=1922&rft.isbn=0-486-21266-1&rft.aulast=Rimsky-Korsakov&rft.aufirst=Nikolai&rft_id=https%3A%2F%2Fimslp.org%2Fwiki%2FPrinciples_of_Orchestration_%28Rimsky-Korsakov%252C_Nikolay%29&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-25"><span class="mw-cite-backlink"><b><a href="#cite_ref-25">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFRoss2005" class="citation magazine cs1"><a href="/wiki/Alex_Ross_(music_critic)" title="Alex Ross (music critic)">Ross, Alex</a> (April 18, 2005). <a rel="nofollow" class="external text" href="https://www.newyorker.com/magazine/2005/04/18/off-the-rails-2">"Off the Rails: A rare performance of Harry Partch's <i>Oedipus</i>"</a>. <i><a href="/wiki/The_New_Yorker" title="The New Yorker">The New Yorker</a></i><span class="reference-accessdate">. Retrieved <span class="nowrap">28 February</span> 2021</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=The+New+Yorker&rft.atitle=Off+the+Rails%3A+A+rare+performance+of+Harry+Partch%27s+Oedipus&rft.date=2005-04-18&rft.aulast=Ross&rft.aufirst=Alex&rft_id=https%3A%2F%2Fwww.newyorker.com%2Fmagazine%2F2005%2F04%2F18%2Foff-the-rails-2&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-26"><span class="mw-cite-backlink"><b><a href="#cite_ref-26">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFHuey2017" class="citation thesis cs1">Huey, Daniel (March 2017). <a rel="nofollow" class="external text" href="https://scholarworks.umass.edu/cgi/viewcontent.cgi?article=1924&context=dissertations_2"><i>Harmony, Voice Leading, and Microtonal Syntax in Ben Johnston's String Quartet No. 5</i></a> (doctoral dissertation). Amherst, Massachusetts: University of Massachusetts. p. vi. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.7275%2F9470759.0">10.7275/9470759.0</a><span class="reference-accessdate">. Retrieved <span class="nowrap">10 September</span> 2021</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adissertation&rft.title=Harmony%2C+Voice+Leading%2C+and+Microtonal+Syntax+in+Ben+Johnston%27s+String+Quartet+No.+5&rft.inst=University+of+Massachusetts&rft.date=2017-03&rft_id=info%3Adoi%2F10.7275%2F9470759.0&rft.aulast=Huey&rft.aufirst=Daniel&rft_id=https%3A%2F%2Fscholarworks.umass.edu%2Fcgi%2Fviewcontent.cgi%3Farticle%3D1924%26context%3Ddissertations_2&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-ts-27"><span class="mw-cite-backlink"><b><a href="#cite_ref-ts_27-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFTsioulcas2014" class="citation web cs1">Tsioulcas, Anastasia (30 July 2014). <a rel="nofollow" class="external text" href="https://www.npr.org/sections/deceptivecadence/2014/07/30/336110268/a-breath-of-inspiration-john-luther-adams-new-sila">"A Breath of Inspiration: John Luther Adams' New 'Sila'<span class="cs1-kern-right"></span>"</a>. <i><a href="/wiki/NPR" title="NPR">NPR</a></i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=NPR&rft.atitle=A+Breath+of+Inspiration%3A+John+Luther+Adams%27+New+%27Sila%27&rft.date=2014-07-30&rft.aulast=Tsioulcas&rft.aufirst=Anastasia&rft_id=https%3A%2F%2Fwww.npr.org%2Fsections%2Fdeceptivecadence%2F2014%2F07%2F30%2F336110268%2Fa-breath-of-inspiration-john-luther-adams-new-sila&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> <li id="cite_note-28"><span class="mw-cite-backlink"><b><a href="#cite_ref-28">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFAdams2018" class="citation web cs1"><a href="/wiki/John_Luther_Adams" title="John Luther Adams">Adams, John Luther</a> (4 February 2018). <a rel="nofollow" class="external text" href="http://johnlutheradams.net/everything-that-rises/">"Everything That Rises"</a>. <i>John Luther Adams</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=John+Luther+Adams&rft.atitle=Everything+That+Rises&rft.date=2018-02-04&rft.aulast=Adams&rft.aufirst=John+Luther&rft_id=http%3A%2F%2Fjohnlutheradams.net%2Feverything-that-rises%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOvertone" class="Z3988"></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Overtone&action=edit&section=12" title="Edit section: External links"><span>edit</span></a><span 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title="Acoustical engineering">Acoustical engineering</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Architectural_acoustics" title="Architectural acoustics">Architectural acoustics</a></li> <li><a href="/wiki/Monochord" title="Monochord">Monochord</a></li> <li><a href="/wiki/Reverberation" title="Reverberation">Reverberation</a></li> <li><a href="/wiki/Soundproofing" title="Soundproofing">Soundproofing</a></li> <li><a href="/wiki/String_vibration" title="String vibration">String vibration</a></li> <li><a href="/wiki/Sympathetic_resonance" title="Sympathetic resonance">Sympathetic resonance</a></li></ul> </div></td><td class="noviewer navbox-image" rowspan="5" style="width:1px;padding:0 0 0 2px"><div><div class="plainlist"><ul><li><span typeof="mw:File"><a href="/wiki/File:Spectrogram_showing_shared_partials.png" class="mw-file-description"><img alt="A spectrogram of a violin playing a note and then a perfect fifth above it. The shared partials are highlighted by the white dashes." src="//upload.wikimedia.org/wikipedia/commons/thumb/2/26/Spectrogram_showing_shared_partials.png/80px-Spectrogram_showing_shared_partials.png" decoding="async" width="80" height="67" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/26/Spectrogram_showing_shared_partials.png/120px-Spectrogram_showing_shared_partials.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/26/Spectrogram_showing_shared_partials.png/160px-Spectrogram_showing_shared_partials.png 2x" data-file-width="300" data-file-height="250" /></a></span></li><li><span style="font-size:85%;"><a href="/wiki/Spectrogram" title="Spectrogram">Spectrogram</a></span></li></ul></div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Psychoacoustics" title="Psychoacoustics">Psychoacoustics</a></th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Pitch_(music)" title="Pitch (music)">Pitch</a> <ul><li><a href="/wiki/Bark_scale" title="Bark scale">Bark scale</a></li> <li><a href="/wiki/Mel_scale" title="Mel scale">Mel scale</a></li></ul></li> <li><a href="/wiki/Equal-loudness_contour" title="Equal-loudness contour">Equal-loudness contour</a> <ul><li><a href="/wiki/Fletcher%E2%80%93Munson_curves" class="mw-redirect" title="Fletcher–Munson curves">Fletcher–Munson curves</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Audio_frequency" title="Audio frequency">Audio frequency</a> and <a href="/wiki/Pitch_(music)" title="Pitch (music)">pitch</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Beat_(acoustics)" title="Beat (acoustics)">Beat</a></li> <li><a href="/wiki/Formant" title="Formant">Formant</a></li> <li><a href="/wiki/Fundamental_frequency" title="Fundamental frequency">Fundamental frequency</a></li> <li><a href="/wiki/Frequency_spectrum" class="mw-redirect" title="Frequency spectrum">Frequency spectrum</a> <ul><li><a href="/wiki/Harmonic_spectrum" title="Harmonic spectrum">harmonic spectrum</a></li></ul></li> <li><a href="/wiki/Harmonic" title="Harmonic">Harmonic</a> <ul><li><a href="/wiki/Harmonic_series_(music)" title="Harmonic series (music)">Series</a></li> <li><a href="/wiki/Inharmonicity" title="Inharmonicity">Inharmonicity</a></li> <li><a href="/wiki/Missing_fundamental" title="Missing fundamental">Missing fundamental</a></li></ul></li> <li><a href="/wiki/Combination_tone" title="Combination tone">Combination tone</a></li> <li><a href="/wiki/Mersenne%27s_laws" title="Mersenne's laws">Mersenne's laws</a></li> <li><a class="mw-selflink selflink">Overtone</a></li> <li><a href="/wiki/Acoustic_resonance" title="Acoustic resonance">Resonance</a></li> <li><a href="/wiki/Standing_wave" title="Standing wave">Standing wave</a> <ul><li><a href="/wiki/Node_(physics)" title="Node (physics)">Node</a></li></ul></li> <li><a href="/wiki/Undertone_series" title="Undertone series">Subharmonic</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Acousticians</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/John_Backus_(acoustician)" title="John Backus (acoustician)">John Backus</a></li> <li><a href="/wiki/Jens_Blauert" title="Jens Blauert">Jens Blauert</a></li> <li><a href="/wiki/Ernst_Chladni" title="Ernst Chladni">Ernst Chladni</a></li> <li><a href="/wiki/Hermann_von_Helmholtz" title="Hermann von Helmholtz">Hermann von Helmholtz</a></li> <li><a href="/wiki/Carleen_Hutchins" title="Carleen Hutchins">Carleen Hutchins</a></li> <li><a href="/wiki/Franz_Melde" title="Franz Melde">Franz Melde</a></li> <li><a href="/wiki/Marin_Mersenne" title="Marin Mersenne">Marin Mersenne</a></li> <li><a href="/wiki/Werner_Meyer-Eppler" title="Werner Meyer-Eppler">Werner Meyer-Eppler</a></li> <li><a href="/wiki/John_William_Strutt,_3rd_Baron_Rayleigh" title="John William Strutt, 3rd Baron Rayleigh">Lord Rayleigh</a></li> <li><a href="/wiki/Joseph_Sauveur" title="Joseph Sauveur">Joseph Sauveur</a></li> <li><a href="/wiki/D._Van_Holliday" title="D. Van Holliday">D. Van Holliday</a></li> <li><a href="/wiki/Thomas_Young_(scientist)" title="Thomas Young (scientist)">Thomas Young</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Related topics</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Echo" title="Echo">Echo</a></li> <li><a href="/wiki/Infrasound" title="Infrasound">Infrasound</a></li> <li><a href="/wiki/Sound" title="Sound">Sound</a></li> <li><a href="/wiki/Ultrasound" title="Ultrasound">Ultrasound</a></li> <li><a href="/wiki/Musical_acoustics" title="Musical acoustics">Musical acoustics</a> <ul><li><a href="/wiki/Piano_acoustics" title="Piano acoustics">Piano</a></li> <li><a href="/wiki/Violin_acoustics" title="Violin acoustics">Violin</a></li></ul></li></ul> </div></td></tr><tr><td class="navbox-abovebelow hlist" colspan="3"><div> <ul><li><span class="noviewer" typeof="mw:File"><span 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autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231" /><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Strings_(music)" title="Template:Strings (music)"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Strings_(music)" title="Template talk:Strings (music)"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Strings_(music)" title="Special:EditPage/Template:Strings (music)"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Musical_strings,_wires,_and_instruments254" style="font-size:114%;margin:0 4em">Musical <a href="/wiki/String_(music)" title="String (music)">strings</a>, <a href="/wiki/Piano_wire" title="Piano wire">wires</a>, and <a href="/wiki/String_instrument" title="String instrument">instruments</a></div></th></tr><tr><td class="navbox-abovebelow" colspan="2"><div><a href="/wiki/List_of_string_instruments" title="List of string instruments">List</a> (<a href="/wiki/List_of_chordophones_by_Hornbostel%E2%80%93Sachs_number" title="List of chordophones by Hornbostel–Sachs number"> Hornbostel–Sachs numbers</a>)</div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Bow_(music)" title="Bow (music)">Bow</a></li> <li><a href="/wiki/Bridge_(instrument)" title="Bridge (instrument)">Bridge</a> <ul><li><a href="/wiki/3rd_bridge" title="3rd bridge">Third bridge</a></li></ul></li> <li><a href="/wiki/Chordophone" class="mw-redirect" title="Chordophone">Chordophone</a></li> <li><a href="/wiki/Course_(music)" title="Course (music)">Course</a></li> <li><a href="/wiki/Drone_(music)" class="mw-redirect" title="Drone (music)">Drone</a></li> <li><a href="/wiki/Enharmonic" class="mw-redirect" title="Enharmonic">Enharmonic</a></li> <li><a href="/wiki/Fingerboard" title="Fingerboard">Fingerboard</a></li> <li><a href="/wiki/Fret" title="Fret">Fret</a></li> <li><a href="/wiki/Fundamental_frequency" title="Fundamental frequency">Fundamental</a>/<a href="/wiki/Harmonic_series_(music)" title="Harmonic series (music)">Harmonics</a>/<a class="mw-selflink selflink">Overtones</a>/<a href="/wiki/String_harmonic" title="String harmonic">String harmonic</a></li> <li><a href="/wiki/Longitudinal_wave" title="Longitudinal wave">Longitudinal wave</a> <ul><li><a href="/wiki/Long-string_instrument" title="Long-string instrument">Long-string instrument</a></li></ul></li> <li><a href="/wiki/Melde%27s_experiment" title="Melde's experiment">Melde's experiment</a></li> <li><a href="/wiki/Mersenne%27s_laws" title="Mersenne's laws">Mersenne's laws</a></li> <li><a href="/wiki/Monochord" title="Monochord">Monochord</a></li> <li><i><a href="/wiki/Music_On_A_Long_Thin_Wire" title="Music On A Long Thin Wire">Music On A Long Thin Wire</a></i></li> <li><a href="/wiki/Node_(physics)" title="Node (physics)">Node</a></li> <li><a href="/wiki/Nut_(string_instrument)" title="Nut (string instrument)">Nut</a></li> <li><a href="/wiki/Reentrant_tuning" title="Reentrant tuning">Re-entry</a></li> <li><a href="/wiki/Scale_length_(string_instruments)" title="Scale length (string instruments)">Scale length</a></li> <li><a href="/wiki/Sound_board_(music)" class="mw-redirect" title="Sound board (music)">Soundboard</a></li> <li><a href="/wiki/Standing_wave" title="Standing wave">Standing wave</a></li> <li><a href="/wiki/String_vibration" title="String vibration">String vibration</a></li> <li><a href="/wiki/Transverse_wave" title="Transverse wave">Transverse wave</a></li> <li><a href="/wiki/Tuning_mechanisms_for_stringed_instruments" title="Tuning mechanisms for stringed instruments">Tuning peg</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Monochord" title="Monochord">Monochords</a> and<br /> <a href="/wiki/Musical_bow" title="Musical bow">musical bows</a></th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Ahardin" title="Ahardin">Ahardin</a></li> <li><a href="/wiki/Berimbau" title="Berimbau">Berimbau</a></li> <li><a href="/wiki/Bladder_fiddle" title="Bladder fiddle">Bladder fiddle</a> <ul><li><a href="/wiki/Boom-ba" class="mw-redirect" title="Boom-ba">Boom-ba</a></li></ul></li> <li><a href="/wiki/%C4%90%C3%A0n_b%E1%BA%A7u" title="Đàn bầu">Đàn bầu</a></li> <li><a href="/wiki/Diddley_bow" title="Diddley bow">Diddley bow</a></li> <li><a href="/wiki/Duxianqin" title="Duxianqin">Duxianqin</a></li> <li><a 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