12/11: Difference between revisions
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[[Category:11-limit]] | [[Category:11-limit]] | ||
[[Category:Interval]] | [[Category:Interval ratio]] | ||
[[Category:Just interval]] | [[Category:Just interval]] | ||
[[Category:Neutral second]] | [[Category:Neutral second]] | ||
[[Category:Second]] | [[Category:Second]] | ||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
Revision as of 07:08, 10 June 2020
| Interval information |
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[sound info]
12/11, the undecimal neutral second or (lesser) neutral second, is a strangely exotic interval found between the 11th and 12th partials of the harmonic series. In Just Intonation it is represented by the superparticular ratio 12/11, and is about 150.6 cents large. One step of 8edo is an excellent approximation of the just neutral second, and eight of them exceed the octave by the comma (12/11)^8/2 = [15 8 0 0 -8⟩. It follows that EDOs which are multiples of 8, such as 16edo and 24edo, will also represent this interval well.
12/11 differs from the larger undecimal neutral second 11/10 (~165 cents) by 121/120 (~14.4 cents). Temperaments which conflate the two (thus tempering out 121/120) include 15edo, 22edo, 31edo, orwell, porcupine, mohajira and valentine.