9/7
| Ratio | 9/7 |
| Monzo | |0 2 0 -1> |
| Size | 435.08410 ¢ |
| Name(s) | supermajor third |
| File:Jid 9 7 pluck adu dr220.mp3 [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.
See also[edit]
- Gallery of Just Intervals
- Septimal major third (Wikipedia)