24/11
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| Ratio | 24/11 |
| Monzo | |3 1 0 0 -1> |
| Size | 1350.6370585006 ¢ |
| Name(s) | undecimal sub ninth |
In 11-limit Just Intonation, 24/11 is an undecimal (11-based) subninth of about 1350.6¢. Falling about halfway between 12edo's perfect ninth and diminished ninth, it is very xenharmonic. It is one of the simplest subninths in JI. As an octave-reduced overtone, it is a basis of consonance in 11-limit JI, alongside the lower odd numbers 9, 7, 5 and 3. It can be found in harmonic series chords such as 4:5:6:7:8:9:10:11:12, sitting somewhere between the much stronger and more familiar consonances of 10 (5) and 12 (3). It is very well-represented in 24edo, making that system especially good for approximations of JI chords involving primes 3 and 11 such as 8:9:11:12.
- See also Gallery of Just Intervals