In [[5-limit]] [[Just Intonation]], **6/5** is the classic minor third, measuring about 315.6[[Cent|¢]]. It is sharp of the [[Pythagorean]] minor third of [[32_27|32/27]] (about 294.1¢) as well as the 300¢ minor third of [[4edo]], [[12edo]] and all other 4n-[[edo]]s. It arises in the [[OverToneSeries|harmonic series]] between the 5th and 6th overtones and appears in the [[5-limit]] otonal triad of 4:5:6. A 5-limit minor triad in just intonation can be written 10:12:15, with 6/5 falling between 10 and 12, [[5_4|5/4]] falling between 12 and 15, and [[3_2|3/2]] falling between 10 and 15.
In [[5-limit|5-limit]] [[Just_intonation|Just Intonation]], '''6/5''' is the classic minor third, measuring about 315.6[[cent|¢]]. It is sharp of the [[Pythagorean|Pythagorean]] minor third of [[32/27|32/27]] (about 294.1¢) as well as the 300¢ minor third of [[4edo|4edo]], [[12edo|12edo]] and all other 4n-[[EDO|edo]]s. It arises in the [[OverToneSeries|harmonic series]] between the 5th and 6th overtones and appears in the [[5-limit|5-limit]] otonal triad of 4:5:6. A 5-limit minor triad in just intonation can be written 10:12:15, with 6/5 falling between 10 and 12, [[5/4|5/4]] falling between 12 and 15, and [[3/2|3/2]] falling between 10 and 15.
In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the [[7-limit]] is [[7_6|7/6]] (about 266.9¢), the septimal subminor third, which is [[36_35|36/35]] (about 48.8¢) flat of 6/5. Another in the [[13-limit]] is [[13_11|13/11]] (about 289.2¢), which is [[66_65|66/65]] (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them.
In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the [[7-limit|7-limit]] is [[7/6|7/6]] (about 266.9¢), the septimal subminor third, which is [[36/35|36/35]] (about 48.8¢) flat of 6/5. Another in the [[13-limit|13-limit]] is [[13/11|13/11]] (about 289.2¢), which is [[66/65|66/65]] (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them.
See: [[Gallery of Just Intervals]], [[List of root-3rd-P5 triads in JI]]</pre></div>
See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]], [[List_of_root-3rd-P5_triads_in_JI|List of root-3rd-P5 triads in JI]] [[Category:5-limit]]
In <a class="wiki_link" href="/5-limit">5-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, <strong>6/5</strong> is the classic minor third, measuring about 315.6<a class="wiki_link" href="/Cent">¢</a>. It is sharp of the <a class="wiki_link" href="/Pythagorean">Pythagorean</a> minor third of <a class="wiki_link" href="/32_27">32/27</a> (about 294.1¢) as well as the 300¢ minor third of <a class="wiki_link" href="/4edo">4edo</a>, <a class="wiki_link" href="/12edo">12edo</a> and all other 4n-<a class="wiki_link" href="/edo">edo</a>s. It arises in the <a class="wiki_link" href="/OverToneSeries">harmonic series</a> between the 5th and 6th overtones and appears in the <a class="wiki_link" href="/5-limit">5-limit</a> otonal triad of 4:5:6. A 5-limit minor triad in just intonation can be written 10:12:15, with 6/5 falling between 10 and 12, <a class="wiki_link" href="/5_4">5/4</a> falling between 12 and 15, and <a class="wiki_link" href="/3_2">3/2</a> falling between 10 and 15.<br />
<br />
In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the <a class="wiki_link" href="/7-limit">7-limit</a> is <a class="wiki_link" href="/7_6">7/6</a> (about 266.9¢), the septimal subminor third, which is <a class="wiki_link" href="/36_35">36/35</a> (about 48.8¢) flat of 6/5. Another in the <a class="wiki_link" href="/13-limit">13-limit</a> is <a class="wiki_link" href="/13_11">13/11</a> (about 289.2¢), which is <a class="wiki_link" href="/66_65">66/65</a> (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them.<br />
<br />
See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a>, <a class="wiki_link" href="/List%20of%20root-3rd-P5%20triads%20in%20JI">List of root-3rd-P5 triads in JI</a></body></html></pre></div>
In 5-limitJust Intonation, 6/5 is the classic minor third, measuring about 315.6¢. It is sharp of the Pythagorean minor third of 32/27 (about 294.1¢) as well as the 300¢ minor third of 4edo, 12edo and all other 4n-edos. It arises in the harmonic series between the 5th and 6th overtones and appears in the 5-limit otonal triad of 4:5:6. A 5-limit minor triad in just intonation can be written 10:12:15, with 6/5 falling between 10 and 12, 5/4 falling between 12 and 15, and 3/2 falling between 10 and 15.
In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the 7-limit is 7/6 (about 266.9¢), the septimal subminor third, which is 36/35 (about 48.8¢) flat of 6/5. Another in the 13-limit is 13/11 (about 289.2¢), which is 66/65 (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them.
