Akjaysma: Difference between revisions

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== Temperaments ==

Tempering out the akjaysma splits the octave into 7 equal parts and maps 105th harmonic into 5\7. It leads to a number of regular temperaments including [[Syntonic-chromatic equivalence continuum|absurdity]], [[Ragismic microtemperaments #Brahmagupta|brahmagupta]], and [[Mistismic temperaments|neutron]].

In addition, ~~tempering~~ it out offers aptly named 441 & 1407 [[akjayland]] temperament, ~~where it is also tempered along with the landscape comma which splits the octave in three and therefore produces a temperament~~ that divides the octave into 7 x 3 = 21 parts.

In addition, akjaysma appears in temperaments whose period is a multiple of 7 (14, 21, 28, 35, etc.), however from a composer's standpoint it may not be the most prominent characterization of these temperaments due to a lot of inherent differences between multiples of 7edo. Tempering it out along with the [[landscape comma]] offers the aptly named 441 & 1407 [[akjayland]] temperament, that divides the octave into 7 x 3 = 21 parts.

~~Akjaysmic rank-3 temperament can be described as the 441&1848&2954 temperament, which tempers out 184549376/184528125 and 199297406/199290375 in the 11-limit~~.

=== Akjaysmic ===

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{{Optimal ET sequence|legend=1| 140, 224, 301, 441, 665, 742, 966, 1106, 1407, 1547, 1848, 2289, 2513, 2954, 3395, 4802 }}

In higher limits, akjaysmic rank-3 temperament can be described as the 441&1848&2954 temperament, and it tempers out 184549376/184528125 and 199297406/199290375 in the 11-limit. See [[7th-octave temperaments]].

== See also ==

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 == Temperaments ==
 Tempering out the akjaysma splits the octave into 7 equal parts and maps 105th harmonic into 5\7. It leads to a number of regular temperaments including [[Syntonic-chromatic equivalence continuum|absurdity]], [[Ragismic microtemperaments #Brahmagupta|brahmagupta]], and [[Mistismic temperaments|neutron]].
-In addition, tempering it out offers aptly named 441 & 1407 [[akjayland]] temperament, where it is also tempered along with the landscape comma which splits the octave in three and therefore produces a temperament that divides the octave into 7 x 3 = 21 parts.
+In addition, akjaysma appears in temperaments whose period is a multiple of 7 (14, 21, 28, 35, etc.), however from a composer's standpoint it may not be the most prominent characterization of these temperaments due to a lot of inherent differences between multiples of 7edo. Tempering it out along with the [[landscape comma]] offers the aptly named 441 & 1407 [[akjayland]] temperament, that divides the octave into 7 x 3 = 21 parts.
-Akjaysmic rank-3 temperament can be described as the 441&amp;1848&amp;2954 temperament, which tempers out 184549376/184528125 and 199297406/199290375 in the 11-limit.
 === Akjaysmic ===
@@ Line 25: / Line 23: @@
 {{Optimal ET sequence|legend=1| 140, 224, 301, 441, 665, 742, 966, 1106, 1407, 1547, 1848, 2289, 2513, 2954, 3395, 4802 }}
+In higher limits, akjaysmic rank-3 temperament can be described as the 441&amp;1848&amp;2954 temperament, and it tempers out 184549376/184528125 and 199297406/199290375 in the 11-limit. See [[7th-octave temperaments]].
 == See also ==