Akjaysma: Difference between revisions

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| Color name = Trisa-seprugu comma

}}

The '''akjaysma''' is a 7-limit [[~~unnoticeable~~ comma]]. It is the difference between a stack of seven [[105/64]]'s and five octaves; {{monzo| 47 -7 -7 -7 }} in monzo and 0.338 cents in size. For equal divisions ''N'' up to 37316, this comma is tempered out only if 7 divides ''N''. Examples are [[7edo]], [[77edo]], [[217edo]], [[224edo]], [[441edo]] and [[665edo]].

The '''akjaysma''' is an [[Unnoticeable comma|unnoticeable]] [[7-limit]] [[comma]]. It is the difference between a stack of seven [[105/64]]'s and five octaves; {{monzo| 47 -7 -7 -7 }} in monzo and 0.338 cents in size. For equal divisions ''N'' up to 37316, this comma is tempered out only if 7 divides ''N''. Examples are [[7edo]], [[77edo]], [[217edo]], [[224edo]], [[441edo]] and [[665edo]].

== Temperaments ==

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=== Akjaysmic ===

Subgroup: 2.3.5.7

[[Subgroup]]: 2.3.5.7

[[Comma list]]: {{monzo| 47 -7 -7 -7 }}

~~[[Mapping]]: [~~{{~~val~~| 7 0 0 47 ~~}}, {{val~~| 0 1 0 -1 ~~}}, {{val~~| 0 0 1 -1 }}]

~~Mapping~~ generators: ~1157625/1048576, ~3, ~5

: mapping generators: ~1157625/1048576, ~3, ~5

[[POTE ~~generator~~]]s: ~3/2 = 701.965, ~5/4 = 386.330

[[Optimal tuning]] ([[POTE]]): ~1157625/1048576 = 1\7, ~3/2 = 701.965, ~5/4 = 386.330

{{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]].

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]].

== Etymology ==

This comma was named by [[Aaron Krister Johnson]] in 2011 after himself<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_99488.html Yahoo! Tuning Group | ''xenwiki comma update'']</ref>.

== See also ==

* [[Unnoticeable comma]]

== Notes ==

[[Category:Akjaysmic]]

@@ Line 4: / Line 4: @@
 | Color name = Trisa-seprugu comma
 }}
-The '''akjaysma''' is a 7-limit [[unnoticeable comma]]. It is the difference between a stack of seven [[105/64]]'s and five octaves; {{monzo| 47 -7 -7 -7 }} in monzo and 0.338 cents in size. For equal divisions ''N'' up to 37316, this comma is tempered out only if 7 divides ''N''. Examples are [[7edo]], [[77edo]], [[217edo]], [[224edo]], [[441edo]] and [[665edo]].
+The '''akjaysma''' is an [[Unnoticeable comma|unnoticeable]] [[7-limit]] [[comma]]. It is the difference between a stack of seven [[105/64]]'s and five octaves; {{monzo| 47 -7 -7 -7 }} in monzo and 0.338 cents in size. For equal divisions ''N'' up to 37316, this comma is tempered out only if 7 divides ''N''. Examples are [[7edo]], [[77edo]], [[217edo]], [[224edo]], [[441edo]] and [[665edo]].
 == Temperaments ==
@@ Line 12: / Line 12: @@
 === Akjaysmic ===
-Subgroup: 2.3.5.7
+[[Subgroup]]: 2.3.5.7
 [[Comma list]]: {{monzo| 47 -7 -7 -7 }}
-[[Mapping]]: [{{val| 7 0 0 47 }}, {{val| 0 1 0 -1 }}, {{val| 0 0 1 -1 }}]
+{{Mapping|legend=1| 7 0 0 47 | 0 1 0 -1 | 0 0 1 -1 }}
-Mapping generators: ~1157625/1048576, ~3, ~5
+: mapping generators: ~1157625/1048576, ~3, ~5
-[[POTE generator]]s: ~3/2 = 701.965, ~5/4 = 386.330
+[[Optimal tuning]] ([[POTE]]): ~1157625/1048576 = 1\7, ~3/2 = 701.965, ~5/4 = 386.330
 {{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]].
+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]].
+== Etymology ==
+This comma was named by [[Aaron Krister Johnson]] in 2011 after himself<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_99488.html Yahoo! Tuning Group | ''xenwiki comma update'']</ref>.
 == See also ==
 * [[Unnoticeable comma]]
+== Notes ==
 [[Category:Akjaysmic]]