1323/1280: Difference between revisions
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Created page with "1323/1280, the septimal 2/7-tone, is a 7-limit ratio very close to the step of 21edo. == Theory == If taken as a comma to be tempered, it produces greenwood. If it is..." |
rewrite, infobox |
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{{Infobox Interval | |||
|Ratio = 1323/1280 | |||
|Name = septimal 2/7-tone, septimal 21st-octave | |||
|Comma = yes | |||
}} | |||
1323/1280, the septimal 2/7-tone, is a 7-limit ratio very close to the step of [[21edo]]. | 1323/1280, the septimal 2/7-tone, is a 7-limit ratio very close to the step of [[21edo]]. | ||
== Theory == | == Theory == | ||
If taken as a comma to be tempered, it produces [[greenwood]]. If it is taken as a period and assigned to 1\21 of the octave, it | If taken as a comma to be tempered, it produces [[greenwood]]. If it is taken as a period and assigned to 1\21 of the octave, it serves as a period in the [[akjayland]] temperament. | ||
{{Monzo|-169 | {{Monzo|-169 63 -21 42}} is a comma that results from the difference of 21 instances of this interval with the octave. For EDOs N up to ~5000, it is tempered out if and only if 21 divides N. | ||
Revision as of 00:52, 20 February 2023
| Interval information |
septimal 21st-octave
1323/1280, the septimal 2/7-tone, is a 7-limit ratio very close to the step of 21edo.
Theory
If taken as a comma to be tempered, it produces greenwood. If it is taken as a period and assigned to 1\21 of the octave, it serves as a period in the akjayland temperament.
[-169 63 -21 42⟩ is a comma that results from the difference of 21 instances of this interval with the octave. For EDOs N up to ~5000, it is tempered out if and only if 21 divides N.