12/11: Difference between revisions
m +FJS name; cleanup |
|||
| Line 6: | Line 6: | ||
| Name = undecimal neutral second | | Name = undecimal neutral second | ||
| Color name = 1u2, lu 2nd | | Color name = 1u2, lu 2nd | ||
| FJS name = M2<sub>11</sub> | |||
| Sound = jid_12_11_pluck_adu_dr220.mp3 | | Sound = jid_12_11_pluck_adu_dr220.mp3 | ||
}} | }} | ||
'''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 [[cent]]s 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) | '''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 [[cent]]s 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)<sup>8</sup>/2 = {{Monzo|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]], [[valentine]], etc. | |||
== See also == | == See also == | ||
* [[11/6]] | * [[11/6]] – its [[octave complement]] | ||
* [[11/8]] – its [[fifth complement]] | |||
* [[Iceface Tuning]] | * [[Iceface Tuning]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||