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..."
 
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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 produces [[akjayland]] and temperaments like 441 & 1848.
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|-169,63,-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.
{{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.