In [[7-limit]] [[Just Intonation]], 12/7 is the septimal supermajor sixth of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of [[5_3|5/3]] by [[36_35|36/25]] -- the septimal quartertone -- a [[superparticular]] interval of about 48.8¢. It differs from the Pythagorean major sixth of [[27_16|27/16]] by [[64_63|64/63]] -- Archytas' comma -- about 27.3¢. And finally, it differs from the harmonic seventh -- [[7_4|7/4]], about 968.8¢ -- by [[49_48|49/48]] -- the large septimal diesis or slendro diesis -- about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7_6|7/6]].
In [[7-limit|7-limit]] [[Just_intonation|Just Intonation]], 12/7 is the septimal supermajor sixth of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of [[5/3|5/3]] by [[36/35|36/25]] -- the septimal quartertone -- a [[superparticular|superparticular]] interval of about 48.8¢. It differs from the Pythagorean major sixth of [[27/16|27/16]] by [[64/63|64/63]] -- Archytas' comma -- about 27.3¢. And finally, it differs from the harmonic seventh -- [[7/4|7/4]], about 968.8¢ -- by [[49/48|49/48]] -- the large septimal diesis or slendro diesis -- about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7/6|7/6]].
See: [[Gallery of Just Intervals]]</pre></div>
See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]
In <a class="wiki_link" href="/7-limit">7-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 12/7 is the septimal supermajor sixth of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of <a class="wiki_link" href="/5_3">5/3</a> by <a class="wiki_link" href="/36_35">36/25</a> -- the septimal quartertone -- a <a class="wiki_link" href="/superparticular">superparticular</a> interval of about 48.8¢. It differs from the Pythagorean major sixth of <a class="wiki_link" href="/27_16">27/16</a> by <a class="wiki_link" href="/64_63">64/63</a> -- Archytas' comma -- about 27.3¢. And finally, it differs from the harmonic seventh -- <a class="wiki_link" href="/7_4">7/4</a>, about 968.8¢ -- by <a class="wiki_link" href="/49_48">49/48</a> -- the large septimal diesis or slendro diesis -- about 35.7¢. 12/7 is the inversion of the septimal subminor third of <a class="wiki_link" href="/7_6">7/6</a>.<br />
<br />
See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div>
In 7-limitJust Intonation, 12/7 is the septimal supermajor sixth of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of 5/3 by 36/25 -- the septimal quartertone -- a superparticular interval of about 48.8¢. It differs from the Pythagorean major sixth of 27/16 by 64/63 -- Archytas' comma -- about 27.3¢. And finally, it differs from the harmonic seventh -- 7/4, about 968.8¢ -- by 49/48 -- the large septimal diesis or slendro diesis -- about 35.7¢. 12/7 is the inversion of the septimal subminor third of 7/6.