182edo: Difference between revisions

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~~== Theory ==~~

182edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with three mappings suitable for the 11-limit: {{val| 182 288 423 511 630 }} ([[patent val]]), {{val| 182 289 423 511 630 }} (182b), and {{val| 182 288 422 511 629 }} (182ce). It does have a potential as a 2.9.15.7.17.19 [[subgroup]] temperament.

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=== Odd harmonics ===

=== Octave stretch ===

182edo’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 ===

Since 182 factors into {{factorization|182}}, 182edo has subset edos {{EDOs| 2, 7, 13, 14, 26, and 91 }}.

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 {{Infobox ET}}
-{{EDO intro|182}}
+{{ED intro}}
-== Theory ==
 edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with three mappings suitable for the 11-limit: {{val| 182 288 423 511 630 }} ([[patent val]]), {{val| 182 289 423 511 630 }} (182b), and {{val| 182 288 422 511 629 }} (182ce). It does have a potential as a 2.9.15.7.17.19 [[subgroup]] temperament.
@@ Line 13: / Line 12: @@
 === Odd harmonics ===
 {{Harmonics in equal|182}}
+=== Octave stretch ===
+edo’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 ===
+Since 182 factors into {{factorization|182}}, 182edo has subset edos {{EDOs| 2, 7, 13, 14, 26, and 91 }}.