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srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/Diminished_scales_on_Db%2C_D%2C_and_Eb.PNG/450px-Diminished_scales_on_Db%2C_D%2C_and_Eb.PNG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b3/Diminished_scales_on_Db%2C_D%2C_and_Eb.PNG/600px-Diminished_scales_on_Db%2C_D%2C_and_Eb.PNG 2x" data-file-width="1120" data-file-height="805" /></a><figcaption>1:2 distance models on E<span class="music-symbol" style="font-family: Arial Unicode MS, Lucida Sans Unicode;"><span class="music-flat">♭</span></span>, D, and D<span class="music-symbol" style="font-family: Arial Unicode MS, Lucida Sans Unicode;"><span class="music-flat">♭</span></span>. Also known as octatonic scales.</figcaption></figure> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:%27Ode-to-Napoleon%27_hexachord.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/35/%27Ode-to-Napoleon%27_hexachord.png/300px-%27Ode-to-Napoleon%27_hexachord.png" decoding="async" width="300" height="94" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/35/%27Ode-to-Napoleon%27_hexachord.png/450px-%27Ode-to-Napoleon%27_hexachord.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/35/%27Ode-to-Napoleon%27_hexachord.png/600px-%27Ode-to-Napoleon%27_hexachord.png 2x" data-file-width="1068" data-file-height="333" /></a><figcaption><a href="/wiki/%22Ode-to-Napoleon%22_hexachord" title=""Ode-to-Napoleon" hexachord">"Ode-to-Napoleon" hexachord</a><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 <a href="/wiki/Set_(music)" title="Set (music)">prime form</a><sup id="cite_ref-Toorn_2-0" class="reference"><a href="#cite_note-Toorn-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> <span class="noprint"><span class="ext-phonos"><span data-nosnippet="" id="ooui-php-1" class="ext-phonos-PhonosButton noexcerpt oo-ui-widget oo-ui-widget-enabled oo-ui-buttonElement oo-ui-buttonElement-frameless oo-ui-iconElement oo-ui-labelElement oo-ui-buttonWidget" data-ooui="{"_":"mw.Phonos.PhonosButton","href":"\/\/upload.wikimedia.org\/wikipedia\/commons\/transcoded\/9\/9a\/%27Ode-to-Napoleon%27_hexachord.mid\/%27Ode-to-Napoleon%27_hexachord.mid.mp3","rel":["nofollow"],"framed":false,"icon":"volumeUp","label":{"html":"Play"},"data":{"ipa":"","text":"","lang":"en","wikibase":"","file":"'Ode-to-Napoleon' hexachord.mid"},"classes":["ext-phonos-PhonosButton","noexcerpt"]}"><a role="button" tabindex="0" href="//upload.wikimedia.org/wikipedia/commons/transcoded/9/9a/%27Ode-to-Napoleon%27_hexachord.mid/%27Ode-to-Napoleon%27_hexachord.mid.mp3" rel="nofollow" aria-label="Play audio" title="Play audio" class="oo-ui-buttonElement-button"><span class="oo-ui-iconElement-icon oo-ui-icon-volumeUp"></span><span class="oo-ui-labelElement-label">Play</span><span class="oo-ui-indicatorElement-indicator oo-ui-indicatorElement-noIndicator"></span></a></span><sup class="ext-phonos-attribution noexcerpt navigation-not-searchable"><a href="/wiki/File:%27Ode-to-Napoleon%27_hexachord.mid" title="File:'Ode-to-Napoleon' hexachord.mid">ⓘ</a></sup></span></span>. It is also <a href="/wiki/Ern%C5%91_Lendvai" title="Ernő Lendvai">Ernő Lendvai</a>'s "1:3 Model" scale and one of <a href="/wiki/Milton_Babbitt" title="Milton Babbitt">Milton Babbitt</a>'s six all-combinatorial hexachord "source sets".<sup id="cite_ref-Toorn_2-1" class="reference"><a href="#cite_note-Toorn-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup></figcaption></figure> <p>In <a href="/wiki/Music" title="Music">music</a> a <b>distance model</b> is the alternation of two different <a href="/wiki/Interval_(music)" title="Interval (music)">intervals</a> to create a non-diatonic <a href="/wiki/Musical_mode" class="mw-redirect" title="Musical mode">musical mode</a> such as the 1:3 distance model, the alternation of <a href="/wiki/Semitone" title="Semitone">semitones</a> and <a href="/wiki/Minor_third" title="Minor third">minor thirds</a>: C-E<span class="music-symbol" style="font-family: Arial Unicode MS, Lucida Sans Unicode;"><span class="music-flat">♭</span></span>-E-G-A<span class="music-symbol" style="font-family: Arial Unicode MS, Lucida Sans Unicode;"><span class="music-flat">♭</span></span>-B-C. This scale is also an example of <a href="/wiki/Polymodal_chromaticism" title="Polymodal chromaticism">polymodal chromaticism</a> as it includes both the <a href="/wiki/Tonic_(music)" title="Tonic (music)">tonic</a> and <a href="/wiki/Dominant_(music)" title="Dominant (music)">dominant</a> as well as "'two of the most typical degrees from both major and minor' (E and B, E<span class="music-symbol" style="font-family: Arial Unicode MS, Lucida Sans Unicode;"><span class="music-flat">♭</span></span> and A<span class="music-symbol" style="font-family: Arial Unicode MS, Lucida Sans Unicode;"><span class="music-flat">♭</span></span>, respectively) ([Kárpáti 1975] p.132)".<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </p><p>The most common distance model is the 1:2, also known as the <a href="/wiki/Octatonic_scale" title="Octatonic scale">octatonic scale</a> (<a href="/wiki/Forte_number" title="Forte number">set type</a> 8-28), followed by 1:3 and 1:5, also known as set type 4-9, which is a subset of the 1:2 model.<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> Set type 4-9 has also been referred to as a "Z-Cell."<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> <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=Distance_model&action=edit&section=1" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Generated_collection" title="Generated collection">Generated collection</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=Distance_model&action=edit&section=2" 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"><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"><a href="/wiki/David_Lewin" title="David Lewin">Lewin, David</a> (1959). "Re: Intervallic Relations Between Two Collections of Notes". <i>Journal of Music Theory</i> 3, no. 2 (November 1959): 298–301. p.300.</span> </li> <li id="cite_note-Toorn-2"><span class="mw-cite-backlink">^ <a href="#cite_ref-Toorn_2-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Toorn_2-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text">Van den Toorn, Pieter C. (1996). <i>Music, Politics, and the Academy</i>, p.128-29. <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><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-520-20116-7" title="Special:BookSources/0-520-20116-7">0-520-20116-7</a>.</span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text">Kárpáti, János (1975). <i>Bartók's String Quartets</i>, p.132. Translated by Fred MacNicol. Budapest: Corvina Press. Cited in Wilson 1992.</span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text">Wilson, Paul (1992). <i>The Music of Béla Bartók</i>, p. 8-9. <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/0-300-05111-5" title="Special:BookSources/0-300-05111-5">0-300-05111-5</a>.</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">Wilson (1992), p. 25-26.</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://openmusictheory.com/atonal.html">"Analyzing atonal music"</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Analyzing+atonal+music&rft_id=http%3A%2F%2Fopenmusictheory.com%2Fatonal.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADistance+model" class="Z3988"></span></span> </li> </ol></div></div> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol 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scale</a></li> <li><a href="/wiki/Whole_tone_scale" class="mw-redirect" title="Whole tone scale">Whole tone scale</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Genres and<br /> schools</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/Twelve-tone_technique" title="Twelve-tone technique">Twelve-tone technique</a> <ul><li><a href="/wiki/Tone_row" title="Tone row">Row</a></li> <li><a href="/wiki/List_of_tone_rows_and_series" title="List of tone rows and series">List</a></li></ul></li> <li><a href="/wiki/Second_Viennese_School" title="Second Viennese School">Second Viennese School</a></li> <li><a href="/wiki/Serialism" title="Serialism">Serialism</a></li> <li><a href="/wiki/Spectral_music" title="Spectral music">Spectral music</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Techniques<br /> and concepts</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/Chromaticism" title="Chromaticism">Chromaticism</a></li> <li><a href="/wiki/Cyclic_set" title="Cyclic set">Cyclic set</a></li> <li><a href="/wiki/Dissonant_counterpoint" class="mw-redirect" title="Dissonant counterpoint">Dissonant counterpoint</a></li> <li><a href="/wiki/Dynamic_tonality" title="Dynamic tonality">Dynamic tonality</a></li> <li><a href="/wiki/Emancipation_of_the_dissonance" title="Emancipation of the dissonance">Emancipation of the dissonance</a></li> <li><i><a href="/wiki/Klangfarbenmelodie" title="Klangfarbenmelodie">Klangfarbenmelodie</a></i></li> <li><a href="/wiki/Polymodal_chromaticism" title="Polymodal chromaticism">Polymodal chromaticism</a></li> <li><a href="/wiki/Polytonality" title="Polytonality">Polytonality</a> <ul><li><a class="mw-selflink selflink">Distance model</a></li></ul></li> <li><a href="/wiki/Quartal_and_quintal_harmony" title="Quartal and quintal harmony">Quartal and quintal harmony</a></li> <li><a href="/wiki/Tone_Clock" class="mw-redirect" title="Tone Clock">Tone Clock</a></li> <li><a href="/wiki/Tone_cluster" title="Tone cluster">Tone cluster</a></li> <li><a href="/wiki/Unified_field" title="Unified field">Unified field</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Compositions</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/List_of_atonal_compositions" title="List of atonal compositions">List of atonal compositions</a></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"></div><div role="navigation" class="navbox" aria-labelledby="Musical_scales_(list)" style="padding:3px"><table class="nowraplinks mw-collapsible 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:Scales" title="Template:Scales"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Scales" title="Template talk:Scales"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Scales" title="Special:EditPage/Template:Scales"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Musical_scales_(list)" style="font-size:114%;margin:0 4em"><a href="/wiki/Scale_(music)" title="Scale (music)">Musical scales</a> (<a href="/wiki/List_of_musical_scales_and_modes" title="List of musical scales and modes">list</a>)</div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">Main Western</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/Major_scale" title="Major scale">Major</a></li> <li><a href="/wiki/Minor_scale" title="Minor scale">Minor</a></li> <li><a href="/wiki/Pentatonic_scale" title="Pentatonic scale">Pentatonic</a></li> <li><a href="/wiki/Diatonic_scale" title="Diatonic scale">Diatonic</a></li> <li><a href="/wiki/Chromatic_scale" title="Chromatic scale">Chromatic</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other types</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/Bebop_scale" title="Bebop scale">Bebop</a></li> <li><a href="/wiki/Blues_scale" title="Blues scale">Blues</a></li> <li><a href="/wiki/Octatonic_scale" title="Octatonic scale">Diminished scale</a></li> <li><a class="mw-selflink selflink">Distance model</a></li> <li><a href="/wiki/Double_harmonic_scale" title="Double harmonic scale">Double harmonic</a></li> <li><a href="/wiki/Enharmonic_scale" title="Enharmonic scale">Enharmonic</a></li> <li><a href="/wiki/Enigmatic_scale" title="Enigmatic scale">Enigmatic</a></li> <li><a href="/wiki/Flamenco_mode" title="Flamenco mode">Flamenco mode</a></li> <li><a href="/wiki/Harmonic_Scale" class="mw-redirect" title="Harmonic Scale">Harmonic</a></li> <li><a href="/wiki/Harmonic_major_scale" title="Harmonic major scale">Harmonic major</a></li> <li><a href="/wiki/Harmonic_minor_scale" title="Harmonic minor scale">Harmonic minor</a></li> <li><a href="/wiki/Jazz_scale" title="Jazz scale">Jazz</a></li> <li><a href="/wiki/Jazz_minor_scale" title="Jazz minor scale">Jazz minor</a></li> <li><a href="/wiki/Major_Locrian_scale" title="Major Locrian scale">Major Locrian</a></li> <li><a href="/wiki/Phrygian_dominant_scale" title="Phrygian dominant scale">Phrygian dominant</a></li> <li><a href="/wiki/Ptolemy%27s_intense_diatonic_scale" title="Ptolemy's intense diatonic scale">Ptolemy's intense diatonic</a></li> <li><a href="/wiki/Scale_of_harmonics" title="Scale of harmonics">Scale of harmonics</a></li> <li><a href="/wiki/Symmetric_scale" title="Symmetric scale">Symmetric</a></li> <li><a href="/wiki/Synthetic_mode" title="Synthetic mode">Synthetic mode</a></li> <li><a href="/wiki/Synthetic_scale" title="Synthetic scale">Synthetic scale</a></li> <li><a href="/wiki/Whole_tone_scale" class="mw-redirect" title="Whole tone scale">Whole tone</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Ethnic origin</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/Algerian_scale" title="Algerian scale">Algerian</a></li> <li>Arabic <ul><li><small><a href="/wiki/Double_harmonic_scale" title="Double harmonic scale">Double harmonic</a></small></li> <li><small><a href="/wiki/Major_Locrian_scale" title="Major Locrian scale">Major Locrian</a></small></li> <li><small><a href="/wiki/Quarter_tone_scale" class="mw-redirect" title="Quarter tone scale">Quarter tone</a></small></li> <li><small><a href="/wiki/17_equal_temperament" title="17 equal temperament">17 equal temperament</a></small></li></ul></li> <li>Brazil <ul><li><small><a href="/wiki/Escala_nordestina" title="Escala nordestina">Escala nordestina</a></small></li></ul></li> <li>Gamelan <ul><li><small><i><a href="/wiki/Pelog" title="Pelog">Pelog</a></i></small></li> <li><small><i><a href="/wiki/Slendro" title="Slendro">Slendro</a></i></small></li></ul></li> <li><a href="/wiki/Gypsy_scale" title="Gypsy scale">Gypsy</a></li> <li><a href="/wiki/Hungarian_major_scale" title="Hungarian major scale">Hungarian major</a></li> <li><a href="/wiki/Hungarian_minor_scale" title="Hungarian minor scale">Hungarian minor</a></li> <li><a href="/wiki/Istrian_scale" title="Istrian scale">Istrian</a></li> <li><a href="/wiki/Japanese_musical_scales" title="Japanese musical scales">Japanese</a></li> <li><a href="/wiki/Nusach_(Jewish_music)" title="Nusach (Jewish music)">Jewish nusach</a></li> <li><a href="/wiki/Neapolitan_scale" title="Neapolitan scale">Neapolitan</a></li> <li><a href="/wiki/Persian_scale" title="Persian scale">Persian</a></li> <li><a href="/wiki/Romanian_major_scale" title="Romanian major scale">Romanian major</a></li> <li><a href="/wiki/Ukrainian_Dorian_scale" title="Ukrainian Dorian scale">Ukrainian Dorian</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Non-octave</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/Alpha_scale" title="Alpha scale">Alpha</a></li> <li><a href="/wiki/Beta_scale" title="Beta scale">Beta</a></li> <li><a href="/wiki/Gamma_scale" title="Gamma scale">Gamma</a></li> <li><a href="/wiki/Delta_scale" title="Delta scale">Delta</a></li> <li><a href="/wiki/Bohlen%E2%80%93Pierce_scale" title="Bohlen–Pierce scale">Bohlen–Pierce</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Modes</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible autocollapse navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Modes" title="Template:Modes"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Modes" title="Template talk:Modes"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Modes" title="Special:EditPage/Template:Modes"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Modes_in_Western_music" style="font-size:114%;margin:0 4em"><a href="/wiki/Mode_(music)" title="Mode (music)">Modes in Western music</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Gregorian_mode" title="Gregorian mode">Gregorian</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%;font-weight:normal;"><a href="/wiki/Authentic_mode" class="mw-redirect" title="Authentic mode">Authentic</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Dorian_mode" title="Dorian mode">Dorian</a></li> <li><a href="/wiki/Phrygian_mode" title="Phrygian mode">Phrygian</a></li> <li><a href="/wiki/Lydian_mode" title="Lydian mode">Lydian</a></li> <li><a href="/wiki/Mixolydian_mode" title="Mixolydian mode">Mixolydian</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;font-weight:normal;"><a href="/wiki/Plagal_mode" class="mw-redirect" title="Plagal mode">Plagal</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Hypodorian_mode" title="Hypodorian mode">Hypodorian</a></li> <li><a href="/wiki/Hypophrygian_mode" title="Hypophrygian mode">Hypophrygian</a></li> <li><a href="/wiki/Hypolydian_mode" title="Hypolydian mode">Hypolydian</a></li> <li><a href="/wiki/Mixolydian_mode" title="Mixolydian mode">Hypomixolydian</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</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/Ionian_mode" title="Ionian mode">Ionian</a></li> <li><a href="/wiki/Hypoionian_mode" title="Hypoionian mode">Hypoionian</a></li> <li><a href="/wiki/Aeolian_mode" title="Aeolian mode">Aeolian</a></li> <li><a href="/wiki/Hypoaeolian_mode" title="Hypoaeolian mode">Hypoaeolian</a></li> <li><a href="/wiki/Locrian_mode" title="Locrian mode">Locrian</a></li> <li><a href="/wiki/Hypolocrian_mode" title="Hypolocrian mode">Hypolocrian</a></li> <li><a href="/wiki/Pentatonic_scale" title="Pentatonic scale">Pentatonic</a></li> <li><a href="/wiki/Reciting_tone" title="Reciting tone">Reciting tone</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Diatonic_scale" title="Diatonic scale">Diatonic</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/Ionian_mode" title="Ionian mode">Ionian (I)</a> (<a href="/w/index.php?title=Natural_major&action=edit&redlink=1" class="new" title="Natural major (page does not exist)">natural major</a> and <a href="/w/index.php?title=Ascending_melodic_major&action=edit&redlink=1" class="new" title="Ascending melodic major (page does not exist)">ascending melodic major</a>)</li> <li><a href="/wiki/Dorian_mode" title="Dorian mode">Dorian (II)</a></li> <li><a href="/wiki/Phrygian_mode" title="Phrygian mode">Phrygian (III)</a></li> <li><a href="/wiki/Lydian_mode" title="Lydian mode">Lydian (IV)</a></li> <li><a href="/wiki/Mixolydian_mode" title="Mixolydian mode">Mixolydian (V)</a></li> <li><a href="/wiki/Aeolian_mode" title="Aeolian mode">Aeolian (VI)</a> (<a href="/wiki/Natural_minor" class="mw-redirect" title="Natural minor">natural minor</a> and <a href="/w/index.php?title=Descending_melodic_minor&action=edit&redlink=1" class="new" title="Descending melodic minor (page does not exist)">descending melodic minor</a>)</li> <li><a href="/wiki/Locrian_mode" title="Locrian mode">Locrian (VII)</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Jazz_minor_scale" title="Jazz minor scale">Jazz minor</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/Jazz_minor_scale" title="Jazz minor scale">Jazz minor (I)</a> (<a href="/wiki/Ascending_melodic_minor" class="mw-redirect" title="Ascending melodic minor">ascending melodic minor</a>)</li> <li><a href="/wiki/Dorian_%E2%99%AD2_scale" title="Dorian ♭2 scale">Dorian ♭2 (II)</a></li> <li><a href="/wiki/Lydian_augmented_scale" title="Lydian augmented scale">Lydian augmented (III)</a></li> <li><a href="/wiki/Acoustic_scale" title="Acoustic scale">Acoustic (IV)</a></li> <li><a href="/wiki/Aeolian_dominant_scale" title="Aeolian dominant scale">Aeolian dominant (V)</a> (<a href="/wiki/Descending_melodic_major" class="mw-redirect" title="Descending melodic major">descending melodic major</a>)</li> <li><a href="/wiki/Half_diminished_scale" title="Half diminished scale">Half diminished (VI)</a></li> <li><a href="/wiki/Altered_scale" title="Altered scale">Altered (VII)</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Harmonic_minor" class="mw-redirect" title="Harmonic minor">Harmonic minor</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/Harmonic_minor" class="mw-redirect" title="Harmonic minor">Harmonic minor (I)</a></li> <li><a href="/wiki/Ukrainian_Dorian_scale" title="Ukrainian Dorian scale">Ukrainian Dorian (IV)</a></li> <li><a href="/wiki/Phrygian_dominant_scale" title="Phrygian dominant scale">Phrygian dominant (V)</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Harmonic_major" class="mw-redirect" title="Harmonic major">Harmonic major</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/Harmonic_major" class="mw-redirect" title="Harmonic major">Harmonic major (I)</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Double_harmonic_scale" title="Double harmonic scale">Double harmonic scale</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/Double_harmonic_scale" title="Double harmonic scale">Double harmonic (I)</a></li> <li><a href="/wiki/Hungarian_minor_scale" title="Hungarian minor scale">Hungarian minor (IV)</a></li> <li><a href="/w/index.php?title=Oriental_mode&action=edit&redlink=1" class="new" title="Oriental mode (page does not exist)">Oriental (V)</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Number of tones</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/Monotonic_scale" title="Monotonic scale">Monotonic</a> (1)</li> <li><a href="/wiki/Ditonic_scale" title="Ditonic scale">Ditonic</a> (2)</li> <li><a href="/wiki/Tritonic_scale" title="Tritonic scale">Tritonic</a> (3)</li> <li><a href="/wiki/Tetratonic_scale" title="Tetratonic scale">Tetratonic</a> (4)</li> <li><a href="/wiki/Pentatonic_scale" title="Pentatonic scale">Pentatonic</a> (5)</li> <li><a href="/wiki/Hexatonic_scale" title="Hexatonic scale">Hexatonic</a> (6)</li> <li><a href="/wiki/Heptatonic_scale" title="Heptatonic scale">Heptatonic</a> (7)</li> <li><a href="/wiki/Octatonic_scale" title="Octatonic scale">Octatonic</a> (8)</li> <li><a href="/wiki/Decatonic_scale" title="Decatonic scale">Decatonic</a> (10)</li> <li><a href="/wiki/Chromatic_scale" title="Chromatic scale">Chromatic</a> (12)</li></ul> </div></td></tr></tbody></table></div> <p><br /> </p> <style data-mw-deduplicate="TemplateStyles:r1012311289">.mw-parser-output .asbox{position:relative;overflow:hidden}.mw-parser-output .asbox table{background:transparent}.mw-parser-output .asbox p{margin:0}.mw-parser-output .asbox p+p{margin-top:0.25em}.mw-parser-output .asbox-body{font-style:italic}.mw-parser-output .asbox-note{font-size:smaller}.mw-parser-output .asbox 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