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class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Inhoud</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">naar zijbalk verplaatsen</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">verbergen</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Top</div> </a> </li> <li id="toc-Meest_gebruikte_betekenis" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Meest_gebruikte_betekenis"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Meest gebruikte betekenis</span> </div> </a> <ul id="toc-Meest_gebruikte_betekenis-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Verband_met_enharmoniek" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Verband_met_enharmoniek"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Verband met enharmoniek</span> </div> </a> <ul id="toc-Verband_met_enharmoniek-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Diesis_in_middentoonstemmingen" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Diesis_in_middentoonstemmingen"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Diesis in middentoonstemmingen</span> </div> </a> <ul id="toc-Diesis_in_middentoonstemmingen-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Diesis_en_limma" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Diesis_en_limma"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Diesis en limma</span> </div> </a> <ul id="toc-Diesis_en_limma-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Grote_en_Kleine_Diesis" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Grote_en_Kleine_Diesis"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Grote en Kleine Diesis</span> </div> </a> <ul id="toc-Grote_en_Kleine_Diesis-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zie_ook" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Zie_ook"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Zie ook</span> </div> </a> <ul id="toc-Zie_ook-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="Inhoud" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Inhoudsopgave omschakelen" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Inhoudsopgave omschakelen</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Diesis</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="Ga naar een artikel in een andere taal. Beschikbaar in 7 talen" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-7" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">7 talen</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Diesi" title="Diesi – Catalaans" lang="ca" hreflang="ca" data-title="Diesi" data-language-autonym="Català" data-language-local-name="Catalaans" 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/Diesis" title="Diesis – Tsjechisch" lang="cs" hreflang="cs" data-title="Diesis" data-language-autonym="Čeština" data-language-local-name="Tsjechisch" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Di%C3%ABsis" title="Diësis – Duits" lang="de" hreflang="de" data-title="Diësis" data-language-autonym="Deutsch" data-language-local-name="Duits" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Diesis" title="Diesis – Engels" lang="en" hreflang="en" data-title="Diesis" data-language-autonym="English" data-language-local-name="Engels" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Diesis" title="Diesis – Spaans" lang="es" hreflang="es" data-title="Diesis" data-language-autonym="Español" data-language-local-name="Spaans" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%94%D0%B8%D0%B5%D1%81%D0%B0" title="Диеса – Russisch" lang="ru" hreflang="ru" data-title="Диеса" data-language-autonym="Русский" data-language-local-name="Russisch" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%94%D1%96%D1%94%D1%81%D0%B0" title="Дієса – Oekraïens" lang="uk" hreflang="uk" data-title="Дієса" data-language-autonym="Українська" data-language-local-name="Oekraïens" class="interlanguage-link-target"><span>Українська</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q772624#sitelinks-wikipedia" title="Taalkoppelingen bewerken" class="wbc-editpage">Koppelingen bewerken</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Naamruimten"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Diesis" title="Inhoudspagina bekijken [c]" accesskey="c"><span>Artikel</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Overleg:Diesis&action=edit&redlink=1" rel="discussion" class="new" title="Overleg over deze pagina (de pagina bestaat niet) [t]" accesskey="t"><span>Overleg</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" 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pagina citeren</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Speciaal:UrlShortener&url=https%3A%2F%2Fnl.wikipedia.org%2Fwiki%2FDiesis"><span>Verkorte URL verkrijgen</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Speciaal:QrCode&url=https%3A%2F%2Fnl.wikipedia.org%2Fwiki%2FDiesis"><span>QR-code downloaden</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Afdrukken/exporteren </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Speciaal:Boek&bookcmd=book_creator&referer=Diesis"><span>Boek aanmaken</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Speciaal:DownloadAsPdf&page=Diesis&action=show-download-screen"><span>Downloaden als PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Diesis&printable=yes" title="Printvriendelijke versie van deze pagina [p]" accesskey="p"><span>Afdrukversie</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> In andere projecten </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q772624" title="Koppeling naar item in verbonden gegevensrepository [g]" accesskey="g"><span>Wikidata-item</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Paginahulpmiddelen"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Uiterlijk"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Uiterlijk</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">naar zijbalk verplaatsen</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">verbergen</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Uit Wikipedia, de vrije encyclopedie</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="nl" dir="ltr"><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="260" style="width:260px;" data-durationhint="17" data-mwtitle="Diesis-example.ogg" data-mwprovider="wikimediacommons" resource="/wiki/Bestand:Diesis-example.ogg"><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/4/4f/Diesis-example.ogg/Diesis-example.ogg.mp3" type="audio/mpeg" data-transcodekey="mp3" data-width="0" data-height="0" /><source src="//upload.wikimedia.org/wikipedia/commons/4/4f/Diesis-example.ogg" type="audio/ogg; codecs="vorbis"" data-width="0" data-height="0" /></audio></span><figcaption>Luister naar een muziekvoorbeeld van de diesis</figcaption></figure><p>Een <b>diesis</b> (uit het <a href="/wiki/Griekenland" title="Griekenland">Grieks</a>: afscheiding) is een <a href="/wiki/Muziektheorie" title="Muziektheorie">muziektheoretische</a> term die oorspronkelijk afkomstig was uit de Griekse muziektheorie om bepaalde muzikale <a href="/wiki/Microtonaliteit" class="mw-redirect" title="Microtonaliteit">microtonale</a> <a href="/wiki/Interval_(muziek)" title="Interval (muziek)">intervallen</a> aan te duiden. </p><meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Meest_gebruikte_betekenis">Meest gebruikte betekenis</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Diesis&veaction=edit&section=1" title="Bewerk dit kopje: Meest gebruikte betekenis" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Diesis&action=edit&section=1" title="De broncode bewerken van de sectie: Meest gebruikte betekenis"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Doorgaans is de 'diesis' het verschil tussen drie <a href="/wiki/Reine_stemming" title="Reine stemming">rein</a> (in de verhouding 5:4) gestemde grote tertsen en een rein (in de verhouding 1:2) octaaf. Deze verhouding is 128:125 of ongeveer 41,06 <a href="/wiki/Cent_(muziek)" title="Cent (muziek)">cents</a>.<br />Immers: <small><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {2}{1}}:({\tfrac {5}{4}})^{3}={\tfrac {128}{125}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>2</mn> <mn>1</mn> </mfrac> </mstyle> </mrow> <mo>:</mo> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>5</mn> <mn>4</mn> </mfrac> </mstyle> </mrow> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>128</mn> <mn>125</mn> </mfrac> </mstyle> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tfrac {2}{1}}:({\tfrac {5}{4}})^{3}={\tfrac {128}{125}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/050198a940fc27cdb8602a160a69ca7f393e337b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:14.517ex; height:3.676ex;" alt="{\displaystyle {\tfrac {2}{1}}:({\tfrac {5}{4}})^{3}={\tfrac {128}{125}}}"></span></small>. </p> <div class="mw-heading mw-heading2"><h2 id="Verband_met_enharmoniek">Verband met enharmoniek</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Diesis&veaction=edit&section=2" title="Bewerk dit kopje: Verband met enharmoniek" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Diesis&action=edit&section=2" title="De broncode bewerken van de sectie: Verband met enharmoniek"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In het twaalftoons <a href="/wiki/Gelijkzwevende_stemming" title="Gelijkzwevende stemming">gelijkzwevende systeem</a> zijn drie gestapelde grote <a href="/wiki/Terts_(muziek)" title="Terts (muziek)">tertsen</a> hetzelfde als een <a href="/wiki/Octaaf_(muziek)" title="Octaaf (muziek)">octaaf</a>. Zo komt men van c via c-e-gis-bis op bis, en bis is enharmonisch gelijk aan c. Drie natuurreine grote tertsen van 4:5 geven de afstand 125/64, wat iets kleiner is dan 2, dus kleiner dan een octaaf. In de reine stemming is de bis in het bovenstaande voorbeeld dus iets lager dan de C. De diesis beschrijft het verschil tussen deze twee, ofwel de diesis is een maat voor de afwijking van <a href="/wiki/Enharmoniek" title="Enharmoniek">enharmonisch</a> gelijke noten. </p> <div class="mw-heading mw-heading2"><h2 id="Diesis_in_middentoonstemmingen">Diesis in middentoonstemmingen</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Diesis&veaction=edit&section=3" title="Bewerk dit kopje: Diesis in middentoonstemmingen" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Diesis&action=edit&section=3" title="De broncode bewerken van de sectie: Diesis in middentoonstemmingen"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In de <a href="/w/index.php?title=Kwart-comma_middentoons&action=edit&redlink=1" class="new" title="Kwart-comma middentoons (de pagina bestaat niet)">1/4 komma middentoonstemming</a>, blijft de diesis 128:125. In andere <a href="/wiki/Middentoonstemming" title="Middentoonstemming">middentoonstemmingen</a> is de afwijking van de drie gestapelde tertsen en het octaaf de verminderde <a href="/wiki/Secunde" title="Secunde">secunde</a>. Het is dus het interval dat overeenkomt met enharmonisch gelijke tonen in de gelijkzwevende stemming. Bijvoorbeeld het interval tussen een E en Fes is ook een diesis. </p> <div class="mw-heading mw-heading2"><h2 id="Diesis_en_limma">Diesis en limma</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Diesis&veaction=edit&section=4" title="Bewerk dit kopje: Diesis en limma" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Diesis&action=edit&section=4" title="De broncode bewerken van de sectie: Diesis en limma"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Het woord 'diesis' is ook gebruikt om een groot aantal intervallen aan te duiden van verschillende afmeting, die ongeveer rond de 50 cents liggen. <a href="/wiki/Philolaus" title="Philolaus">Philolaus</a> gebruikte het om het interval te beschrijven dat tegenwoordig het <a href="/wiki/Limma" title="Limma">limma</a> heet: wanneer men een reine <a href="/wiki/Kwart_(muziek)" title="Kwart (muziek)">kwart</a> (verhouding 4:3) vermindert met twee hele tonen (verhouding 9:8) neemt ontstaat een interval met de verhouding 256:243, ofwel ongeveer 90 cents. Andere theoretici hebben de term voor weer andere intervallen gebruikt. </p> <div class="mw-heading mw-heading2"><h2 id="Grote_en_Kleine_Diesis">Grote en Kleine Diesis</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Diesis&veaction=edit&section=5" title="Bewerk dit kopje: Grote en Kleine Diesis" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Diesis&action=edit&section=5" title="De broncode bewerken van de sectie: Grote en Kleine Diesis"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Sommige teksten over <a href="/wiki/Akoestiek" title="Akoestiek">akoestiek</a> gebruiken de term 'Grote Diesis' voor het verschil tussen twee (5:4) grote tertsen naar beneden en acht reine (3:2) kwinten omhoog, hetgeen hetzelfde is als twee syntonische komma's ofwel ongeveer 43 cents. Ook gebruikte men de opeenstapeling van vier kleine tertsen tegenover het octaaf, ofwel (6/5)^4:2/1=648/625 wat ongeveer 62,6 cents is. Omdat dit komma dan groter was dan de verhouding 128:125 werd het 'Grote Diesis' genoemd, terwijl het 'reguliere' 128:125 komma de 'Kleine Diesis' heette. Echter is deze Grote Diesis puur theoretisch en wordt deze in de muziekpraktijk bijna nooit gebruikt. De Kleine Diesis (128:125) wordt echter veelvuldig gebruikt en is van grote betekenis in de westerse harmonieleer. Met ander woorden: de term 'diesis' wordt nogal eens op verschillende manieren gebruikt, hetgeen voor leken tot verwarring kan leiden over de gebruikte betekenis.<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> </p> <div class="mw-heading mw-heading2"><h2 id="Zie_ook">Zie ook</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Diesis&veaction=edit&section=6" title="Bewerk dit kopje: Zie ook" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Diesis&action=edit&section=6" title="De broncode bewerken van de sectie: Zie ook"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Ditonus" title="Ditonus">Ditonus</a></li></ul> <div class="toccolours appendix" role="presentation" style="font-size:90%; margin:1em 0 -0.5em; clear:both;"> <div><span style="font-weight:bold">Bronnen, noten en/of referenties</span></div> <div class="reflist" style="list-style-type: decimal;"><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text">Mathieu, W.A. (1997). <i>Harmonic Experience: Tonal Harmony from its Natural Origins to its Modern Expression.</i> - Inner Traditions International, 225-226. <a href="/wiki/Speciaal:Boekbronnen/0892815604" class="internal mw-magiclink-isbn">ISBN 0-89281-560-4</a>.</span> </li> </ol></div></div> </div> <style data-mw-deduplicate="TemplateStyles:r67837862">.mw-parser-output .navigatie{position:relative;clear:both;overflow:auto;margin:1em auto -0.5em;padding:2px;background-color:var(--background-color-neutral-subtle,#f8f9fa);border:1px solid var(--border-color-base,#a2a9b1);text-align:center;font-size:87%}.mw-parser-output .navigatie-bewerken{margin-left:0.5em}.mw-parser-output .navigatie-bewerken .mw-ui-icon::before{background-size:0.9em}.mw-parser-output .navigatie-afb-links,.mw-parser-output .navigatie-afb-rechts{position:absolute}.mw-parser-output .navigatie-afb-rechts{right:2px}.mw-parser-output .navigatie-afb-groot{float:right;padding-left:0.5em}.mw-parser-output .navigatie-titel{background-color:#ddeef8;padding:2px 5.5em;font-weight:bold}.mw-parser-output .navigatie-inhoud{padding:0.5em}.mw-parser-output .navigatie-inhoud p:first-child{margin:0}.mw-parser-output .navigatie div[style*="background-color"],.mw-parser-output .navigatie div[style*="background"]{color:inherit}@media screen{html.skin-theme-clientpref-night .mw-parser-output .navigatie-titel{background-color:var(--background-color-interactive,#eaecf0)!important}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navigatie-titel{background-color:var(--background-color-interactive,#eaecf0)!important}}</style> <div class="navigatie" role="navigation" aria-labelledby="Toonstelsels"> <div class="navigatie-afb-links noviewer"><div class="navigatie-bewerken show-autoconfirmed nomobile"><span class="nowrap skin-invert-image"><span typeof="mw:File"><a href="/wiki/Sjabloon:Navigatie_toonschalen" title="Sjabloon:Navigatie toonschalen"><img 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srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/40/OOjs_UI_icon_speechBubbles-ltr.svg/24px-OOjs_UI_icon_speechBubbles-ltr.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/40/OOjs_UI_icon_speechBubbles-ltr.svg/32px-OOjs_UI_icon_speechBubbles-ltr.svg.png 2x" data-file-width="20" data-file-height="20" /></span></span> · <span typeof="mw:File"><a href="//nl.wikipedia.org/w/index.php?title=Sjabloon:Navigatie_toonschalen&action=edit" title="Sjabloon bewerken"><img alt="Sjabloon bewerken" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr.svg/16px-OOjs_UI_icon_edit-ltr.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr.svg/24px-OOjs_UI_icon_edit-ltr.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr.svg/32px-OOjs_UI_icon_edit-ltr.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span></span></div></div> <div id="Toonstelsels" class="navigatie-titel"><a href="/wiki/Toonstelsel" title="Toonstelsel">Toonstelsels</a></div> <div class="navigatie-inhoud"> <style data-mw-deduplicate="TemplateStyles:r67785531">.mw-parser-output .navigatie-tabel{margin:0 auto 0 auto;text-align:left}.mw-parser-output .navigatie-tabel .links{text-align:right}.mw-parser-output .navigatie-tabel .rechts{padding-left:0.5em}@media screen and (max-width:640px){.mw-parser-output .navigatie-tabel tr{display:grid;grid-template-columns:1fr;width:100%;margin-bottom:0.5em}.mw-parser-output .navigatie-tabel tr:last-of-type{margin-bottom:0}.mw-parser-output .navigatie-tabel .links{text-align:unset}.mw-parser-output .navigatie-tabel .rechts{padding:unset}}</style><table class="navigatie-tabel vatop" cellpadding="0" cellspacing="0" style="width:100%;"><tbody><tr><td class="links" style="width:14em;"><span class="nowrap"><b>Gebaseerd op <a href="/wiki/Rationaal_getal" title="Rationaal getal">rationale getallen</a>:</b></span></td><td class="rechts"><a href="/wiki/Reine_stemming" title="Reine stemming">Reine stemming</a> · <a href="/wiki/Stemming_van_Pythagoras" title="Stemming van Pythagoras">Pythagoras</a> · <a href="/wiki/Harry_Partch" title="Harry Partch">43-toonsschaal</a> · <a href="/wiki/Bohlen-Pierce-schaal" title="Bohlen-Pierce-schaal">Bohlen-Pierce</a></td></tr><tr><td class="links"><b><a href="/wiki/Gelijkzwevende_stemming" title="Gelijkzwevende stemming">Gelijkzwevend</a>:</b></td><td class="rechts"><a href="/wiki/Gelijkzwevende_stemming" title="Gelijkzwevende stemming">12-toonsverdeling</a> · <a href="/wiki/19-toonsverdeling" title="19-toonsverdeling">19-toons</a> · <a href="/wiki/22-toonsverdeling" title="22-toonsverdeling">22-toons</a> · <a href="/wiki/Kwarttoonverdeling" title="Kwarttoonverdeling">24-toons</a> · <a href="/wiki/31-toonsverdeling" title="31-toonsverdeling">31-toons</a> · <a href="/w/index.php?title=34-toonsverdeling&action=edit&redlink=1" class="new" title="34-toonsverdeling (de pagina bestaat niet)">34-toons</a> · <a href="/w/index.php?title=53-toonsverdeling&action=edit&redlink=1" class="new" title="53-toonsverdeling (de pagina bestaat niet)">53-toons</a> · <a href="/w/index.php?title=72-toonsverdeling&action=edit&redlink=1" class="new" title="72-toonsverdeling (de pagina bestaat niet)">72-toons</a> · <a href="/w/index.php?title=88-toonsverdeling&action=edit&redlink=1" class="new" title="88-toonsverdeling (de pagina bestaat niet)">88-toons</a></td></tr><tr><td class="links"><b>Niet-gelijkzwevend:</b></td><td class="rechts"><a href="/wiki/Middentoonstemming" title="Middentoonstemming">Middentoonstemming</a> (<a href="/w/index.php?title=Kwart-comma-middentoonstemming&action=edit&redlink=1" class="new" title="Kwart-comma-middentoonstemming (de pagina bestaat niet)">Kwart-comma</a> · <a href="/w/index.php?title=Lucy-stemming&action=edit&redlink=1" class="new" title="Lucy-stemming (de pagina bestaat niet)">Lucy-stemming</a> · <a href="/w/index.php?title=Septimale_middentoonstemming&action=edit&redlink=1" class="new" title="Septimale middentoonstemming (de pagina bestaat niet)">Septimale</a> · <a href="/w/index.php?title=Silbermann-Sorge-stemming&action=edit&redlink=1" class="new" title="Silbermann-Sorge-stemming (de pagina bestaat niet)">Silbermann-Sorge-stemming</a>) · <a href="/w/index.php?title=Schismatische_temperament&action=edit&redlink=1" class="new" title="Schismatische temperament (de pagina bestaat niet)">Schismatisch</a> · <a href="/w/index.php?title=Miracle_temperament&action=edit&redlink=1" class="new" title="Miracle temperament (de pagina bestaat niet)">Miracle</a></td></tr><tr><td class="links"><b>Ongelijkmatig:</b></td><td class="rechts"><a href="/wiki/Welgetempereerde_stemming" title="Welgetempereerde stemming">Getempereerd</a> · <a href="/wiki/Kirnbergerstemming" title="Kirnbergerstemming">Kirnberger II en III</a> · <a href="/wiki/Off-key" title="Off-key">Off-key</a></td></tr></tbody></table> </div></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r67837862"> <div class="navigatie" role="navigation" aria-labelledby="Intervallen_in_de_muziek"> <div class="navigatie-afb-links noviewer"><div class="navigatie-bewerken show-autoconfirmed nomobile"><span class="nowrap skin-invert-image"><span typeof="mw:File"><a href="/wiki/Sjabloon:Navigatie_intervallen" title="Sjabloon:Navigatie intervallen"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c4/OOjs_UI_icon_article-ltr.svg/16px-OOjs_UI_icon_article-ltr.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c4/OOjs_UI_icon_article-ltr.svg/24px-OOjs_UI_icon_article-ltr.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c4/OOjs_UI_icon_article-ltr.svg/32px-OOjs_UI_icon_article-ltr.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span> · <span class="ui-state-disabled" typeof="mw:File"><span title="Overleg sjabloon (de pagina bestaat niet)"><img alt="Overleg sjabloon (de pagina bestaat niet)" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/40/OOjs_UI_icon_speechBubbles-ltr.svg/16px-OOjs_UI_icon_speechBubbles-ltr.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/40/OOjs_UI_icon_speechBubbles-ltr.svg/24px-OOjs_UI_icon_speechBubbles-ltr.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/40/OOjs_UI_icon_speechBubbles-ltr.svg/32px-OOjs_UI_icon_speechBubbles-ltr.svg.png 2x" data-file-width="20" data-file-height="20" /></span></span> · <span typeof="mw:File"><a href="//nl.wikipedia.org/w/index.php?title=Sjabloon:Navigatie_intervallen&action=edit" title="Sjabloon bewerken"><img alt="Sjabloon bewerken" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr.svg/16px-OOjs_UI_icon_edit-ltr.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr.svg/24px-OOjs_UI_icon_edit-ltr.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr.svg/32px-OOjs_UI_icon_edit-ltr.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span></span></div></div> <div id="Intervallen_in_de_muziek" class="navigatie-titel"><a href="/wiki/Interval_(muziek)" title="Interval (muziek)">Intervallen</a> in de muziek</div> <div class="navigatie-inhoud"> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r67785531"><table class="navigatie-tabel vatop" cellpadding="0" cellspacing="0" style=""><tbody><tr><td class="links" style=""><b>Binnen het octaaf:</b></td><td class="rechts"><a href="/wiki/Prime_(muziek)" title="Prime (muziek)">prime</a> (1) · <a href="/wiki/Secunde" title="Secunde">secunde</a> (2) · <a href="/wiki/Terts_(muziek)" title="Terts (muziek)">terts</a> (3) · <a href="/wiki/Kwart_(muziek)" title="Kwart (muziek)">kwart</a> (4) · <a href="/wiki/Kwint" title="Kwint">kwint</a> (5) · <a href="/wiki/Sext_(muziek)" title="Sext (muziek)">sext</a> (6) · <a href="/wiki/Septiem" title="Septiem">septiem</a> (7) · <a href="/wiki/Octaaf_(muziek)" title="Octaaf (muziek)">octaaf</a> (8)</td></tr><tr><td class="links"><b>Voorbij het octaaf:</b></td><td class="rechts"><a href="/wiki/None_(muziek)" title="None (muziek)">none</a> (9) · <a href="/wiki/Decime" title="Decime">decime</a> (10) · <a href="/wiki/Undecime" title="Undecime">undecime</a> (11) · <a href="/wiki/Duodecime" title="Duodecime">duodecime</a> (12) · <a href="/wiki/Tredecime" title="Tredecime">tredecime</a> (13) · <a href="/wiki/Quardecime" title="Quardecime">quardecime</a> (14) · <a href="/wiki/Quindecime" title="Quindecime">quindecime</a> (15)</td></tr><tr><td class="links"><b>Overige intervallen:</b></td><td class="rechts"><a href="/wiki/Blaaskwint" title="Blaaskwint">blaaskwint</a> · <a href="/wiki/Ditonus" title="Ditonus">ditonus</a> · <a href="/wiki/Septimale_kleine_terts" title="Septimale kleine terts">septimale kleine terts</a> · <a href="/wiki/Tritonus" title="Tritonus">tritonus</a></td></tr><tr><td class="links"><span class="nowrap"><b><a href="/wiki/Microtonale_muziek" title="Microtonale muziek">Microtonale</a> intervallen:</b></span></td><td class="rechts"><a href="/wiki/Cent_(muziek)" title="Cent (muziek)">cent</a> · <a href="/wiki/Komma_(muziektheorie)" title="Komma (muziektheorie)">komma</a> · <a class="mw-selflink selflink">diesis</a> · <a href="/wiki/Limma" title="Limma">limma</a> · <a href="/wiki/Apotome" title="Apotome">apotome</a> · <a href="/wiki/Wolfskwint" title="Wolfskwint">wolfskwint</a></td></tr></tbody></table> </div></div>    </div><noscript><img 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