Akjaysma: Difference between revisions

Fredg999 category edits (talk | contribs)
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{{Infobox Interval
{{Infobox Interval
| Icon =  
| Icon =  
| Ratio = 140737488355328 / 140710042265625
| Ratio = 140 737 488 355 328 /<br>140 710 042 265 625
| Monzo = 47 -7 -7 -7
| Monzo = 47 -7 -7 -7
| Cents = 0.33765
| Cents = 0.33765
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| Sound =  
| Sound =  
}}
}}
 
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 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 0.33765160 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 ==
== Temperaments ==
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Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


[[Comma list]]: {{monzo|47 -7 -7 -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]]: [{{val| 7 0 0 47 }}, {{val| 0 1 0 -1 }}, {{val| 0 0 1 -1 }}]
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POTE generators: ~3/2 = 701.968, ~5/4 = 386.332
POTE generators: ~3/2 = 701.968, ~5/4 = 386.332


Vals: {{Val list| 301, 364, 441, 742, 805, 1043, 1106, 1407, 1547, 1848, 2289, 2653, 2954, 3395, 4501, 5243, 6349, 8197 }}
Optimal GPV sequence: {{Val list| 301, 364, 441, 742, 805, 1043, 1106, 1407, 1547, 1848, 2289, 2653, 2954, 3395, 4501, 5243, 6349, 8197 }}


== See also ==
== See also ==
* [[Unnoticeable comma]]
* [[Unnoticeable comma]]
* [[Akjaysmic microtemperaments]]


[[Category:7-limit]]
[[Category:7-limit]]
[[Category:Unnoticeable commas]]
[[Category:Unnoticeable commas]]
[[Category:Akjaysmic]]
[[Category:Akjaysmic]]