In [[Just Intonation]], 8/7 is the "septimal supermajor second" of approximately 231.2¢. Although it falls between the familiar major second and minor third of [[12edo]], it generally sounds more like a wide second than a narrow third. It can be found between the 7th and 8th overtones in the harmonic series and is thus a [[superparticular]] ratio. In [[7-limit]] JI and higher, it is treated as a consonance, particularly in the context of a chord such as 4:5:6:7:8, where it appears between the harmonic seventh ([[7_4|7/4]]) and octave. It differs from the Pythagorean major second of [[9_8|9/8]] by [[64_63|64/63]], a microtone of about 27.3¢.
In [[Just_intonation|Just Intonation]], 8/7 is the "septimal supermajor second" of approximately 231.2¢. Although it falls between the familiar major second and minor third of [[12edo|12edo]], it generally sounds more like a wide second than a narrow third. It can be found between the 7th and 8th overtones in the harmonic series and is thus a [[superparticular|superparticular]] ratio. In [[7-limit|7-limit]] JI and higher, it is treated as a consonance, particularly in the context of a chord such as 4:5:6:7:8, where it appears between the harmonic seventh ([[7/4|7/4]]) and octave. It differs from the Pythagorean major second of [[9/8|9/8]] by [[64/63|64/63]], a microtone of about 27.3¢.
See the Wikipedia article for [http://en.wikipedia.org/wiki/Septimal_whole_tone Septimal whole tone].
See the Wikipedia article for [[http://en.wikipedia.org/wiki/Septimal_whole_tone|Septimal whole tone]].
See also: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]] [[Category:7-limit]]
See also: [[Gallery of Just Intervals]]</pre></div>
In <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 8/7 is the &quot;septimal supermajor second&quot; of approximately 231.2¢. Although it falls between the familiar major second and minor third of <a class="wiki_link" href="/12edo">12edo</a>, it generally sounds more like a wide second than a narrow third. It can be found between the 7th and 8th overtones in the harmonic series and is thus a <a class="wiki_link" href="/superparticular">superparticular</a> ratio. In <a class="wiki_link" href="/7-limit">7-limit</a> JI and higher, it is treated as a consonance, particularly in the context of a chord such as 4:5:6:7:8, where it appears between the harmonic seventh (<a class="wiki_link" href="/7_4">7/4</a>) and octave. It differs from the Pythagorean major second of <a class="wiki_link" href="/9_8">9/8</a> by <a class="wiki_link" href="/64_63">64/63</a>, a microtone of about 27.3¢.<br />
<br />
See the Wikipedia article for <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_whole_tone" rel="nofollow">Septimal whole tone</a>.<br />
See also: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div>
In Just Intonation, 8/7 is the "septimal supermajor second" of approximately 231.2¢. Although it falls between the familiar major second and minor third of 12edo, it generally sounds more like a wide second than a narrow third. It can be found between the 7th and 8th overtones in the harmonic series and is thus a superparticular ratio. In 7-limit JI and higher, it is treated as a consonance, particularly in the context of a chord such as 4:5:6:7:8, where it appears between the harmonic seventh (7/4) and octave. It differs from the Pythagorean major second of 9/8 by 64/63, a microtone of about 27.3¢.
