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Beschikbaar in 43 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-43" 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">43 talen</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Diatoniese_toonleer" title="Diatoniese toonleer – Afrikaans" lang="af" hreflang="af" data-title="Diatoniese toonleer" data-language-autonym="Afrikaans" data-language-local-name="Afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%95%E0%A7%83%E0%A6%A4_%E0%A6%B8%E0%A7%8D%E0%A6%AC%E0%A6%B0%E0%A6%97%E0%A7%8D%E0%A6%B0%E0%A6%BE%E0%A6%AE" title="প্রকৃত স্বরগ্রাম – Bengaals" lang="bn" hreflang="bn" data-title="প্রকৃত স্বরগ্রাম" data-language-autonym="বাংলা" data-language-local-name="Bengaals" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Escala_diat%C3%B2nica" title="Escala diatònica – Catalaans" lang="ca" hreflang="ca" data-title="Escala diatònica" 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/Diatonick%C3%A1_stupnice" title="Diatonická stupnice – Tsjechisch" lang="cs" hreflang="cs" data-title="Diatonická stupnice" data-language-autonym="Čeština" data-language-local-name="Tsjechisch" 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/Diatonisk_skala" title="Diatonisk skala – Deens" lang="da" hreflang="da" data-title="Diatonisk skala" data-language-autonym="Dansk" data-language-local-name="Deens" 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/Diatonik" title="Diatonik – Duits" lang="de" hreflang="de" data-title="Diatonik" data-language-autonym="Deutsch" data-language-local-name="Duits" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%94%CE%B9%CE%B1%CF%84%CE%BF%CE%BD%CE%B9%CE%BA%CE%AE_%CE%BA%CE%BB%CE%AF%CE%BC%CE%B1%CE%BA%CE%B1" title="Διατονική κλίμακα – Grieks" lang="el" hreflang="el" data-title="Διατονική κλίμακα" data-language-autonym="Ελληνικά" data-language-local-name="Grieks" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Diatonic_scale" title="Diatonic scale – Engels" lang="en" hreflang="en" data-title="Diatonic scale" data-language-autonym="English" data-language-local-name="Engels" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Diatona_gamo" title="Diatona gamo – Esperanto" lang="eo" hreflang="eo" data-title="Diatona gamo" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Escala_diat%C3%B3nica" title="Escala diatónica – Spaans" lang="es" hreflang="es" data-title="Escala diatónica" data-language-autonym="Español" data-language-local-name="Spaans" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Diatooniline_helirida" title="Diatooniline helirida – Estisch" lang="et" hreflang="et" data-title="Diatooniline helirida" data-language-autonym="Eesti" data-language-local-name="Estisch" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Eskala_diatoniko" title="Eskala diatoniko – Baskisch" lang="eu" hreflang="eu" data-title="Eskala diatoniko" data-language-autonym="Euskara" data-language-local-name="Baskisch" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%DA%AF%D8%A7%D9%85_%D8%AF%DB%8C%D8%A7%D8%AA%D9%88%D9%86%DB%8C%DA%A9" title="گام دیاتونیک – Perzisch" lang="fa" hreflang="fa" data-title="گام دیاتونیک" data-language-autonym="فارسی" data-language-local-name="Perzisch" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Diatoninen_asteikko" title="Diatoninen asteikko – Fins" lang="fi" hreflang="fi" data-title="Diatoninen asteikko" data-language-autonym="Suomi" data-language-local-name="Fins" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/%C3%89chelle_diatonique" title="Échelle diatonique – Frans" lang="fr" hreflang="fr" data-title="Échelle diatonique" data-language-autonym="Français" data-language-local-name="Frans" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Diatonacht" title="Diatonacht – Iers" lang="ga" hreflang="ga" data-title="Diatonacht" data-language-autonym="Gaeilge" data-language-local-name="Iers" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Diat%C3%B3nica" title="Diatónica – Galicisch" lang="gl" hreflang="gl" data-title="Diatónica" data-language-autonym="Galego" data-language-local-name="Galicisch" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A1%D7%95%D7%9C%D7%9D_%D7%93%D7%99%D7%90%D7%98%D7%95%D7%A0%D7%99" title="סולם דיאטוני – Hebreeuws" lang="he" hreflang="he" data-title="סולם דיאטוני" data-language-autonym="עברית" data-language-local-name="Hebreeuws" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Diatonikus_hangsor" title="Diatonikus hangsor – Hongaars" lang="hu" hreflang="hu" data-title="Diatonikus hangsor" data-language-autonym="Magyar" data-language-local-name="Hongaars" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B4%D5%AB%D5%A1%D5%BF%D5%B8%D5%B6%D5%AB%D5%AF%D5%A1" title="Դիատոնիկա – Armeens" lang="hy" hreflang="hy" data-title="Դիատոնիկա" data-language-autonym="Հայերեն" data-language-local-name="Armeens" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Tangga_nada_diatonik" title="Tangga nada diatonik – Indonesisch" lang="id" hreflang="id" data-title="Tangga nada diatonik" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesisch" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Scala_diatonica" title="Scala diatonica – Italiaans" lang="it" hreflang="it" data-title="Scala diatonica" data-language-autonym="Italiano" data-language-local-name="Italiaans" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%85%A8%E9%9F%B3%E9%9A%8E" title="全音階 – Japans" lang="ja" hreflang="ja" data-title="全音階" data-language-autonym="日本語" data-language-local-name="Japans" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Tangga_nada_diatonik" title="Tangga nada diatonik – Javaans" lang="jv" hreflang="jv" data-title="Tangga nada diatonik" data-language-autonym="Jawa" data-language-local-name="Javaans" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%93%E1%83%98%E1%83%90%E1%83%A2%E1%83%9D%E1%83%9C%E1%83%98%E1%83%99%E1%83%90" title="დიატონიკა – Georgisch" lang="ka" hreflang="ka" data-title="დიატონიკა" data-language-autonym="ქართული" data-language-local-name="Georgisch" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%94%D0%B8%D0%B0%D1%82%D0%BE%D0%BD%D0%B8%D0%BA%D0%B0" title="Диатоника – Kazachs" lang="kk" hreflang="kk" data-title="Диатоника" data-language-autonym="Қазақша" data-language-local-name="Kazachs" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%98%A8%EC%9D%8C%EA%B3%84" title="온음계 – Koreaans" lang="ko" hreflang="ko" data-title="온음계" data-language-autonym="한국어" data-language-local-name="Koreaans" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%94%D0%B8%D0%B0%D1%82%D0%BE%D0%BD%D0%B8%D0%BA%D0%B0" title="Диатоника – Kirgizisch" lang="ky" hreflang="ky" data-title="Диатоника" data-language-autonym="Кыргызча" data-language-local-name="Kirgizisch" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Derm%C4%97" title="Dermė – Litouws" lang="lt" hreflang="lt" data-title="Dermė" data-language-autonym="Lietuvių" data-language-local-name="Litouws" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Diatonisk_skala" title="Diatonisk skala – Noors - Nynorsk" lang="nn" hreflang="nn" data-title="Diatonisk skala" data-language-autonym="Norsk nynorsk" data-language-local-name="Noors - Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Diatonisk_skala" title="Diatonisk skala – Noors - Bokmål" lang="nb" hreflang="nb" data-title="Diatonisk skala" data-language-autonym="Norsk bokmål" data-language-local-name="Noors - Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Escala_diatonica" title="Escala diatonica – Occitaans" lang="oc" hreflang="oc" data-title="Escala diatonica" data-language-autonym="Occitan" data-language-local-name="Occitaans" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Skala_diatoniczna" title="Skala diatoniczna – Pools" lang="pl" hreflang="pl" data-title="Skala diatoniczna" data-language-autonym="Polski" data-language-local-name="Pools" 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/Escala_diat%C3%B4nica" title="Escala diatônica – Portugees" lang="pt" hreflang="pt" data-title="Escala diatônica" data-language-autonym="Português" data-language-local-name="Portugees" 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%94%D0%B8%D0%B0%D1%82%D0%BE%D0%BD%D0%B8%D0%BA%D0%B0" title="Диатоника – Russisch" lang="ru" hreflang="ru" data-title="Диатоника" data-language-autonym="Русский" data-language-local-name="Russisch" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Diatonic_scale" title="Diatonic scale – Simple English" lang="en-simple" hreflang="en-simple" data-title="Diatonic scale" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Diatonick%C3%A1_stupnica" title="Diatonická stupnica – Slowaaks" lang="sk" hreflang="sk" data-title="Diatonická stupnica" data-language-autonym="Slovenčina" data-language-local-name="Slowaaks" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Diatonik_(musik)" title="Diatonik (musik) – Zweeds" lang="sv" hreflang="sv" data-title="Diatonik (musik)" data-language-autonym="Svenska" data-language-local-name="Zweeds" 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%94%D1%96%D0%B0%D1%82%D0%BE%D0%BD%D1%96%D0%BA%D0%B0" title="Діатоніка – Oekraïens" lang="uk" hreflang="uk" data-title="Діатоніка" data-language-autonym="Українська" data-language-local-name="Oekraïens" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Diatonika" title="Diatonika – Oezbeeks" lang="uz" hreflang="uz" data-title="Diatonika" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Oezbeeks" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Thang_%C3%A2m_nguy%C3%AAn" title="Thang âm nguyên – Vietnamees" lang="vi" hreflang="vi" data-title="Thang âm nguyên" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamees" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E8%87%AA%E7%84%B6%E9%9F%B3%E9%98%B6" title="自然音阶 – Wuyu" lang="wuu" hreflang="wuu" data-title="自然音阶" data-language-autonym="吴语" data-language-local-name="Wuyu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E8%87%AA%E7%84%B6%E9%9F%B3%E9%98%B6" title="自然音阶 – Chinees" lang="zh" hreflang="zh" data-title="自然音阶" data-language-autonym="中文" data-language-local-name="Chinees" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a 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class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a2/Klavier.png/260px-Klavier.png" decoding="async" width="260" height="76" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a2/Klavier.png/390px-Klavier.png 1.5x, //upload.wikimedia.org/wikipedia/commons/a/a2/Klavier.png 2x" data-file-width="400" data-file-height="117" /></a><figcaption>Diatoniek op een klavier. Elke serie van 7 achtereenvolgende witte toetsen, levert een diatonische toonladder</figcaption></figure> <p><b>Diatoniek</b> (Grieks: διάτονος, door hele tonen gaand [διά = door, τόνος = toon]) is in de <a href="/wiki/Muziektheorie" title="Muziektheorie">muziektheorie</a> de systematiek van <a href="/wiki/Toonstelsel" title="Toonstelsel">toonstelsels</a> gebaseerd op een verdeling van het <a href="/wiki/Octaaf_(muziek)" title="Octaaf (muziek)">octaaf</a> in vijf grotere en twee kleinere <a href="/wiki/Interval_(muziek)" title="Interval (muziek)">intervallen</a>. De grotere intervallen zijn alle van ongeveer gelijke omvang en zijn hele <a href="/wiki/Toonafstand" title="Toonafstand">toonafstanden</a>. De kleinere intervallen zijn ongeveer van halve omvang van de grotere en zijn halve toonafstanden. Hele toonafstanden verder opgedeeld in halve toonafstanden zijn <a href="/wiki/Chromatiek" title="Chromatiek">chromatiek</a>. </p><p>Het toonmateriaal bestaat per octaaf uit de zeven tonen met de namen do, re , mi, fa, so(l), la, ti(si), (do). De toonafstanden tussen deze tonen zijn achtereenvolgens : heel, heel, half, heel, heel, heel en half. </p><p>In de <a href="/wiki/Pythagorese_stemming" class="mw-redirect" title="Pythagorese stemming">pythagorese systematiek</a> zijn de tonen gebaseerd op de reine <a href="/wiki/Kwint" title="Kwint">kwint</a> met een verhouding 2:3. Gerekend vanuit la, zowel omhoog als omlaag, ontstonden de volgende verhoudingen, naar die tijd dalend genoteerd: </p> <table class="wikitable" style="text-align:center"> <tbody><tr> <th width="50">mi </th> <th width="50">re </th> <th width="50">do </th> <th width="50">ti </th> <th width="50">la </th> <th width="50">so </th> <th width="50">fa </th> <th width="50">mi </th></tr> <tr> <td>3/2</td> <td>4/3</td> <td>32/27</td> <td>9/8</td> <td>1</td> <td>8/9</td> <td>64/81</td> <td>3/4 </td></tr></tbody></table> <p>Omgerekend voor de toonladder beginnend op do worden de verhoudingen: </p> <table class="wikitable" style="text-align: center"> <tbody><tr> <th colspan="2" style="width:7em;">Toonafstanden </th> <th colspan="2" style="width: 3em">do </th> <th colspan="2" style="width: 3em">re </th> <th colspan="2" style="width: 3em">mi </th> <th colspan="2" style="width: 3em">fa </th> <th colspan="2" style="width: 3em">so </th> <th colspan="2" style="width: 3em">la </th> <th colspan="2" style="width: 3em">ti </th> <th colspan="2" style="width: 3em">do </th></tr> <tr> <th rowspan="2" style="background-color:lavender">tot grondtoon </th> <th style="background-color:#EFEFFF">verhouding </th> <td colspan="2">1 </td> <td colspan="2">9/8 </td> <td colspan="2">81/64 </td> <td colspan="2">4/3 </td> <td colspan="2">3/2 </td> <td colspan="2">27/16 </td> <td colspan="2">243/128 </td> <td colspan="2">2 </td></tr> <tr> <th style="background-color:#EFEFFF">in <a href="/wiki/Cent_(muziek)" title="Cent (muziek)">cent</a> </th> <td colspan="2">0 </td> <td colspan="2">204 </td> <td colspan="2">408 </td> <td colspan="2">498 </td> <td colspan="2">702 </td> <td colspan="2">906 </td> <td colspan="2">1110 </td> <td colspan="2">1200 </td></tr> <tr> <th rowspan="2" style="background-color:lavender">onderling </th> <th style="background-color:#EFEFFF">verhouding </th> <td rowspan="2" style="background-color: white; width:1.5em">  </td> <td colspan="2" style="width:3em">9/8 </td> <td colspan="2" style="width:3em">9/8 </td> <td colspan="2" style="width:3em">256/243 </td> <td colspan="2" style="width:3em">9/8 </td> <td colspan="2" style="width:3em">9/8 </td> <td colspan="2" style="width:3em">9/8 </td> <td colspan="2" style="width:3em">256/243 </td> <td rowspan="2" style="background-color: white; width: 1.5em">  </td></tr> <tr> <th style="background-color:#EFEFFF">in <a href="/wiki/Cent_(muziek)" title="Cent (muziek)">cent</a> </th> <td colspan="2">204 </td> <td colspan="2">204 </td> <td colspan="2">90 </td> <td colspan="2">204 </td> <td colspan="2">204 </td> <td colspan="2">204 </td> <td colspan="2">90 </td></tr> </tbody></table> <p>Daaruit is te zien dat een hele <a href="/wiki/Toonafstand" title="Toonafstand">toonafstand</a> gelijk is aan 9/8 en de halve toonafstand gelijk is aan 256/243. Dit is zeer regelmatig, maar de grote en kleine <a href="/wiki/Terts_(muziek)" title="Terts (muziek)">terts</a> zijn achtereenvolgens 81/64 en 32/27, wat te veel afwijkt van de waarden 5/4 en 6/5 in de <a href="/wiki/Reine_stemming" title="Reine stemming">reine stemming</a>. De grote terts is een factor 81/80, het <a href="/wiki/Didymische_komma" class="mw-redirect" title="Didymische komma">didymische komma</a>, te groot en de kleine een factor 80/81 te klein. </p><p>In de reine stemming zijn de verhoudingen in de toonladder van do: </p> <table class="wikitable" style="text-align: center"> <tbody><tr> <th colspan="2" style="width:7em;">Toonafstanden </th> <th colspan="2" style="width: 3em">do </th> <th colspan="2" style="width: 3em">re </th> <th colspan="2" style="width: 3em">mi </th> <th colspan="2" style="width: 3em">fa </th> <th colspan="2" style="width: 3em">so </th> <th colspan="2" style="width: 3em">la </th> <th colspan="2" style="width: 3em">ti </th> <th colspan="2" style="width: 3em">do </th></tr> <tr> <th rowspan="2" style="background-color:lavender">tot grondtoon </th> <th style="background-color:#EFEFFF">verhouding </th> <td colspan="2">1</td> <td colspan="2">9/8</td> <td colspan="2">5/4</td> <td colspan="2">4/3</td> <td colspan="2">3/2</td> <td colspan="2">5/3</td> <td colspan="2">15/8</td> <td colspan="2">2 </td></tr> <tr> <th style="background-color:#EFEFFF">in <a href="/wiki/Cent_(muziek)" title="Cent (muziek)">cent</a> </th> <td colspan="2">0</td> <td colspan="2">204</td> <td colspan="2">386</td> <td colspan="2">498</td> <td colspan="2">702</td> <td colspan="2">884</td> <td colspan="2">1088</td> <td colspan="2">1200 </td></tr> <tr> <th rowspan="2" style="background-color:lavender">onderling </th> <th style="background-color:#EFEFFF">verhouding </th> <td rowspan="2" style="background-color: white; width:1.5em">  </td> <td colspan="2" style="width:3em">9/8 </td> <td colspan="2" style="width:3em">10/9 </td> <td colspan="2" style="width:3em">16/15 </td> <td colspan="2" style="width:3em">9/8 </td> <td colspan="2" style="width:3em">10/9 </td> <td colspan="2" style="width:3em">9/8 </td> <td colspan="2" style="width:3em">16/15 </td> <td rowspan="2" style="background-color: white; width: 1.5em">  </td></tr> <tr> <th style="background-color:#EFEFFF">in <a href="/wiki/Cent_(muziek)" title="Cent (muziek)">cent</a> </th> <td colspan="2">204</td> <td colspan="2">182</td> <td colspan="2">112</td> <td colspan="2">204</td> <td colspan="2">182</td> <td colspan="2">204</td> <td colspan="2">112 </td></tr> </tbody></table> <p>In deze stemming zijn er twee grote secundes, van 9/8 en van 10/9, die dus onderling het didymische komma verschillen. De halve toonafstand is 16/15. De twee verschillende hele toonafstanden vormen een probleem bij transposities van de toonladder, wat heeft geleid tot de <a href="/wiki/Middentoonstemming" title="Middentoonstemming">middentoonstemmingen</a> en <a href="/wiki/Gelijkzwevende_stemming" title="Gelijkzwevende stemming">gelijkzwevende stemming</a>. </p><p>Bij de oude grieken waren de toonsystemen opgebouwd uit <a href="/wiki/Tetrachord" title="Tetrachord">tetrachorden</a>, een reeks van 4 tonen met een omvang van een kwart. Oorspronkelijk verwees de term 'diatoniek' naar een van de drie geslachten van deze tetrachorden (diatonisch, chromatisch en enharmonisch). Twee van deze tetrachorden werden, aaneensluitend of gescheiden door een hele toon, gestapeld om tot een toonladder te komen. </p><p>Een diatonische <a href="/wiki/Toonladder" title="Toonladder">toonladder</a> is een toonladder gebaseerd op het diatonisch toonstelsel. Een diatonische toonladder kan op elke noot beginnen. De verzameling van deze toonladders zijn de kerktoonladders: </p> <ul><li><a href="/wiki/Ionisch_(toonladder)" title="Ionisch (toonladder)">Ionisch</a> (<b>do re mi fa so la ti do</b>), de huidige majeur toonladder</li> <li><a href="/wiki/Dorisch_(toonladder)" title="Dorisch (toonladder)">Dorisch</a> (<b>re mi fa so la ti do re</b>)</li> <li><a href="/wiki/Frygisch_(toonladder)" title="Frygisch (toonladder)">Phrygisch</a> (<b>mi fa so la ti do re mi</b>)</li> <li><a href="/wiki/Lydisch_(toonladder)" title="Lydisch (toonladder)">Lydisch</a> (<b>fa so la ti do re mi fa</b>)</li> <li><a href="/wiki/Mixolydisch_(toonladder)" class="mw-redirect" title="Mixolydisch (toonladder)">Mixolydisch</a> (<b>so la ti do re mi fa so</b>)</li> <li><a href="/wiki/Aeolisch_(toonladder)" class="mw-redirect" title="Aeolisch (toonladder)">Aeolisch</a> (<b>la ti do re mi fa so la</b>), de huidige natuurlijke mineur toonladder</li> <li><a href="/wiki/Locrisch" title="Locrisch">Locrisch</a> (<b>ti do re mi fa so la ti</b>)</li></ul> <p>Uit deze oude diatonische toonladders ontwikkelde zich in de loop van de <a href="/wiki/Geschiedenis_van_de_klassieke_muziek" class="mw-redirect" title="Geschiedenis van de klassieke muziek">muziekgeschiedenis</a> het diatonische systeem van <a href="/wiki/Majeur" title="Majeur">majeur</a>- en <a href="/wiki/Mineur_(muziek)" title="Mineur (muziek)">mineur</a><a href="/wiki/Toonsoort" title="Toonsoort">toonsoorten</a>. Pas in de 20e eeuw lieten <a href="/wiki/Componist" title="Componist">componisten</a> zich inspireren door exotische, niet-<a href="/wiki/Europa_(continent)" class="mw-redirect" title="Europa (continent)">Europese</a> toonladders, en ontstond er een niet-diatonische <a href="/wiki/Klassieke_muziek" title="Klassieke muziek">klassieke muziek</a> (<a href="/wiki/Claude_Debussy" title="Claude Debussy">Debussy</a>, <a href="/wiki/Igor_Stravinsky" title="Igor Stravinsky">Stravinsky</a>). </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=Diatoniek&veaction=edit&section=1" 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=Diatoniek&action=edit&section=1" 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/Modaliteit_(muziek)" title="Modaliteit (muziek)">Modaliteit (muziek)</a></li> <li><a href="/wiki/Kerktoonladder" title="Kerktoonladder">Kerktoonladder</a></li> <li><a href="/wiki/Heptatoniek" title="Heptatoniek">Heptatoniek</a></li></ul>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Overgenomen van "<a dir="ltr" href="https://nl.wikipedia.org/w/index.php?title=Diatoniek&oldid=66967629">https://nl.wikipedia.org/w/index.php?title=Diatoniek&oldid=66967629</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Categorie:Alles" title="Categorie:Alles">Categorie</a>: <ul><li><a href="/wiki/Categorie:Muziektheorie" title="Categorie:Muziektheorie">Muziektheorie</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Deze pagina is voor het laatst bewerkt op 2 feb 2024 om 16:32.</li> <li id="footer-info-copyright">De tekst is beschikbaar onder de licentie <a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/deed.nl">Creative Commons Naamsvermelding/Gelijk delen</a>, er kunnen aanvullende voorwaarden van toepassing zijn. 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