12/11: Difference between revisions
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{{Infobox Interval | |||
| | | Name = undecimal neutral second, Alpharabian tendoneutral second | ||
| Color name = 1u2, lu 2nd | |||
| Sound = jid_12_11_pluck_adu_dr220.mp3 | |||
}} | |||
{{Wikipedia|Neutral second}} | |||
150. | '''12/11''', the '''undecimal neutral second''' or '''(lesser) neutral second''', is an 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 [[Undecimal_octatonic_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. In [[Alpharabian tuning]] it is known as the '''Alpharabian tendoneutral second'''. | ||
[[ | 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. | ||
Many Western listeners might describe 12/11 as sounding "exotic". | |||
== See also == | |||
[[ | * [[11/6]] – its [[octave complement]] | ||
[[ | * [[11/8]] – its [[fifth complement]] | ||
* [[11/9]] – its [[fourth complement]] | |||
[[Category: | * [[Iceface Tuning]] | ||
[[Category: | * [[Gallery of just intervals]] | ||
[[Category: | * [[List of superparticular intervals]] | ||
[[Category:Second]] | |||
[[Category:Neutral second]] | |||
[[Category:Over-11 intervals]] | |||
Latest revision as of 23:53, 16 August 2025
| Interval information |
Alpharabian tendoneutral second
reduced
[sound info]
12/11, the undecimal neutral second or (lesser) neutral second, is an 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. In Alpharabian tuning it is known as the Alpharabian tendoneutral second.
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.
Many Western listeners might describe 12/11 as sounding "exotic".