9/7: Difference between revisions
m →See also: link inverse |
Name unified with 7/6 |
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| Monzo = 0 2 0 -1 | | Monzo = 0 2 0 -1 | ||
| Cents = 435.08410 | | Cents = 435.08410 | ||
| Name = supermajor third | | Name = supermajor third, <br>septimal major third | ||
| Sound = jid_9_7_pluck_adu_dr220.mp3 | | Sound = jid_9_7_pluck_adu_dr220.mp3 | ||
| Color name = r3, ru 3rd | | Color name = r3, ru 3rd | ||
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* [[14/9]] -- its [[octave complement]] | * [[14/9]] -- its [[octave complement]] | ||
* [[Gallery of Just Intervals]] | * [[Gallery of Just Intervals]] | ||
* [ | * [[Wikipedia:Septimal_major_third|Septimal major third - Wikipedia]] | ||
[[Category:7-limit]] | [[Category:7-limit]] | ||
Revision as of 13:43, 14 August 2020
| Interval information |
septimal major third
[sound info]
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.