11/8

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Interval information
Ratio  11/8
Monzo  |-3 0 0 0 1>
Size  551.31794 ¢
Name(s)  undecimal superfourth
File:Jid 11 8 pluck adu dr220.mp3
[sound info]

In 11-limit Just Intonation, 11/8 is an undecimal (11-based) superfourth of about 551.3¢. Falling about halfway between 12edo's perfect fourth and tritone, it is very xenharmonic. It is the simplest superfourth 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

de:Alphorn-Fa