22ed7/4: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ED intro}} | |||
It is a heavily [[Octave shrinking|octave-compressed]] version of [[27edo]]. | |||
== Intervals == | |||
{{Interval table}} | |||
== Harmonics == | |||
Compared to 27edo: | |||
* [[Prime]]s 11 and 13 are much more accurate | |||
* Primes 2 and 7 are much less accurate | |||
* Other primes have roughly similar accuracy | |||
and | |||
* The mapping of primes 2, 3, 5 and 7 is the same as 27edo | |||
* The mapping of primes 11, 13, 17, 19 and 23 is different from 27edo | |||
While 27edo is quite close to the zeta peak [[zpi|106zpi]], 22ed7/4 is quite close to the zeta peak [[zpi|107zpi]]. | |||
22ed7/4's mapping of prime 2 is very inconsistent. This might not necessarily be a bad thing, as it might allow for the perceived [[octave equivalence]] to fall on different scale degrees each octave or two. This could make each perceived octave sound different to the last, which may make the music more interesting to listen to in the hands of a skilled composer. | |||
Possible [[JI subgroup]]s for interpreting 22ed7/4 could be: | |||
* 2.3.5.7/2.11.13 | |||
or | |||
* 2.3.5.14.11.13 | |||
Though other interpretations could be possible as well. | |||
{{Harmonics in equal | |||
| steps = 22 | |||
| num = 7 | |||
| denom = 4 | |||
}} | |||
{{Harmonics in equal | |||
| steps = 22 | |||
| num = 7 | |||
| denom = 4 | |||
| start = 12 | |||
| collapsed = 1 | |||
}} | |||
{{Harmonics in equal | |||
| steps = 27 | |||
| num = 2 | |||
| denom = 1 | |||
| intervals = integer | |||
| collapsed = 1 | |||
| title = 27edo for comparison | |||
}} | |||
{{Harmonics in equal | |||
| steps = 27 | |||
| num = 2 | |||
| denom = 1 | |||
| start = 12 | |||
| collapsed = 1 | |||
| intervals = integer | |||
| title = 27edo for comparison (cont.) | |||
}} | |||
== Scales == | |||
* [[User:BudjarnLambeth/Subsets of 22ed7/4]] | |||