11/8: Difference between revisions
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In [[11-limit]] [[ | In [[11-limit]] [[just intonation]], '''11/8''' is an undecimal [[superfourth]] of about 551.3[[cent|¢]]. 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]] | |||
* [[16/11]] - its [[inverse interval]] | |||
[[Category:11-limit]] | [[Category:11-limit]] | ||
[[Category: | [[Category:Interval]] | ||
[[Category: | [[Category:Ratio]] | ||
[[Category: | [[Category:Superfourth]] | ||
[[Category: | [[Category:Fourth]] | ||
[[Category: | [[Category:Undecimal]] | ||
[[Category: | [[Category:Untwelve]] | ||
Revision as of 17:44, 29 October 2018
| Interval information |
reduced harmonic
[sound info]
In 11-limit just intonation, 11/8 is an undecimal 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.