12/11: Difference between revisions
m Added Wikipedia box, misc. edits, categories |
m Normalising usage of Infobox Interval |
||
| Line 1: | Line 1: | ||
{{Infobox Interval | {{Infobox Interval | ||
| Name = undecimal neutral second | | Name = undecimal neutral second | ||
| Color name = 1u2, lu 2nd | | Color name = 1u2, lu 2nd | ||
| Sound = jid_12_11_pluck_adu_dr220.mp3 | | Sound = jid_12_11_pluck_adu_dr220.mp3 | ||
}} | }} | ||
| Line 22: | Line 18: | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category:Second]] | [[Category:Second]] | ||
[[Category:Neutral second]] | [[Category:Neutral second]] | ||
[[Category:Over-11]] | [[Category:Over-11]] | ||
Revision as of 11:55, 25 October 2022
| Interval information |
reduced
[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, valentine, etc.