182edo: Difference between revisions
+subsets and supersets |
Add section on octave stretch |
||
| Line 12: | Line 12: | ||
=== Odd harmonics === | === Odd harmonics === | ||
{{Harmonics in equal|182}} | {{Harmonics in equal|182}} | ||
=== Octave stretch === | |||
182’s approximations of 3/1, 5/1, 7/1 and 13/1 are all improved by the [[Gallery of arithmetic pitch sequences#APS of tinas|Argentina scale]] (APS47tina), a [[Octave stretch|stretched-octave]] version of 182edo. The trade-off is a slightly worse 2/1 and 11/1. | |||
There are also several nearby [[Zeta peak index]] (ZPI) tunings which can be used for this same purpose: 1199zpi, 1200zpi, 1201zpi, 1202zpi, 1203zpi, 1204zpi and 1205zpi. | |||
The details of each of those ZPI tunings are visible in [[User:Contribution]]’s gallery of [[User:Contribution/Gallery of Zeta Peak Indexes (1 - 10 000)|Zeta Peak Indexes (1 - 10 000)]]. Warning: due to its length, that page may slow down your device while it is open. The effect will go away after you close the page. | |||
=== Subsets and supersets === | === Subsets and supersets === | ||
Since 182 factors into {{factorization|182}}, 182edo has subset edos {{EDOs| 2, 7, 13, 14, 26, and 91 }}. | Since 182 factors into {{factorization|182}}, 182edo has subset edos {{EDOs| 2, 7, 13, 14, 26, and 91 }}. | ||