In [[Just Intonation]], 9/7 is a supermajor third of approximately 435.1¢, characteristic of [[7-limit]] and beyond. On its own, it has a very strident quality, but in the context of a chord, it can sound perfectly consonant. The 9-limit hexad 4:5:6:7:8:9 includes a septimal supermajor third between the 7th and the 9th. The interval has an interesting neutral quality to it similar to the way 9/8 behaves as ratios of nine all share this quality.
In [[Just_intonation|Just Intonation]], 9/7 is a supermajor third of approximately 435.1¢, characteristic of [[7-limit|7-limit]] and beyond. On its own, it has a very strident quality, but in the context of a chord, it can sound perfectly consonant. The 9-limit hexad 4:5:6:7:8:9 includes a septimal supermajor third between the 7th and the 9th. The interval has an interesting neutral quality to it similar to the way 9/8 behaves as ratios of nine all share this quality.
A just chord can be built with this wide third in place of the more traditional [[5_4|5/4]]. This supermajor triad would be 14:18:21. This triad can be very effective in music, but in this context, the modern ear accustomed to 12edo thirds of 400¢ is likely to hear 9/7 as a mistuned major third instead of a new class of interval in its own right. Because 9/7 is a ratio of 9, it shares sonority qualities with 9/8 much more than 5/4. Chords such as the [[9-limit]] hexad above and subsets of it give more opportunity for 9/7 to be heard as consonant.
A just chord can be built with this wide third in place of the more traditional [[5/4|5/4]]. This supermajor triad would be 14:18:21. This triad can be very effective in music, but in this context, the modern ear accustomed to 12edo thirds of 400¢ is likely to hear 9/7 as a mistuned major third instead of a new class of interval in its own right. Because 9/7 is a ratio of 9, it shares sonority qualities with 9/8 much more than 5/4. Chords such as the [[9-limit|9-limit]] hexad above and subsets of it give more opportunity for 9/7 to be heard as consonant.
See also:
See also:
[[Gallery of Just Intervals]]
[[http://en.wikipedia.org/wiki/Septimal_major_third|Septimal major third]] (Wikipedia)</pre></div>
[[Gallery_of_Just_Intervals|Gallery of Just Intervals]]
In <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 9/7 is a supermajor third of approximately 435.1¢, characteristic of <a class="wiki_link" href="/7-limit">7-limit</a> and beyond. On its own, it has a very strident quality, but in the context of a chord, it can sound perfectly consonant. The 9-limit hexad 4:5:6:7:8:9 includes a septimal supermajor third between the 7th and the 9th. The interval has an interesting neutral quality to it similar to the way 9/8 behaves as ratios of nine all share this quality. <br />
<br />
A just chord can be built with this wide third in place of the more traditional <a class="wiki_link" href="/5_4">5/4</a>. This supermajor triad would be 14:18:21. This triad can be very effective in music, but in this context, the modern ear accustomed to 12edo thirds of 400¢ is likely to hear 9/7 as a mistuned major third instead of a new class of interval in its own right. Because 9/7 is a ratio of 9, it shares sonority qualities with 9/8 much more than 5/4. Chords such as the <a class="wiki_link" href="/9-limit">9-limit</a> hexad above and subsets of it give more opportunity for 9/7 to be heard as consonant.<br />
<br />
See also:<br />
<a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a><br />
<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_major_third" rel="nofollow">Septimal major third</a> (Wikipedia)</body></html></pre></div>
In Just Intonation, 9/7 is a supermajor third of approximately 435.1¢, characteristic of 7-limit and beyond. On its own, it has a very strident quality, but in the context of a chord, it can sound perfectly consonant. The 9-limit hexad 4:5:6:7:8:9 includes a septimal supermajor third between the 7th and the 9th. The interval has an interesting neutral quality to it similar to the way 9/8 behaves as ratios of nine all share this quality.
A just chord can be built with this wide third in place of the more traditional 5/4. This supermajor triad would be 14:18:21. This triad can be very effective in music, but in this context, the modern ear accustomed to 12edo thirds of 400¢ is likely to hear 9/7 as a mistuned major third instead of a new class of interval in its own right. Because 9/7 is a ratio of 9, it shares sonority qualities with 9/8 much more than 5/4. Chords such as the 9-limit hexad above and subsets of it give more opportunity for 9/7 to be heard as consonant.
