Meter: Difference between revisions
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The '''meter comma''', or more simply, the '''meter''', is a [[7-limit]] [[unnoticeable comma]] with a ratio of '''703125/702464''' and a value of approximately 1.6 cents. It is the difference between a stack of three [[225/224|septimal kleismas]] and a [[81/80|syntonic comma]]. Tempering it out splits the syntonic comma into three equal parts, one for the septimal kleisma, and two for the [[126/125|septimal semicomma]]. | The '''meter comma''', or more simply, the '''meter''', is a [[7-limit]] [[unnoticeable comma]] with a ratio of '''703125/702464''' and a value of approximately 1.6 cents. It is the difference between a stack of three [[225/224|septimal kleismas]] and a [[81/80|syntonic comma]]. | ||
== Temperaments == | |||
Tempering it out splits the syntonic comma into three equal parts, one for the septimal kleisma, and two for the [[126/125|septimal semicomma]]. | |||
=== Meter (31 & 171 & 323) === | |||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 703125/702464 | |||
[[Mapping]]: [{{val| 1 0 2 1 }}, {{val| 0 1 1 3 }}, {{val| 0 0 -3 -7 }}] | |||
[[POTE generator]]s: ~3/2 = 701.8766, ~75/56 = 505.2613 | |||
{{Val list|legend=1| 12, 19, 31, 81, 90, 102d, 109, 121, 140, 152, 171, 665, 836, 1007, 2185, 3192c }} | |||
[[Badness]]: 0.1498 × 10<sup>-3</sup> | |||
== See also == | == See also == | ||
* [[Metric microtemperaments]] | * [[Metric microtemperaments]], where it is tempered out | ||
* [[Unnoticeable comma]] | * [[Unnoticeable comma]] | ||
[[Category:7-limit]] | [[Category:7-limit]] | ||
[[Category:Unnoticeable comma]] | [[Category:Unnoticeable comma]] | ||
[[Category:Metric]] | [[Category:Metric (temperament)]] | ||
Revision as of 17:57, 7 May 2021
| Interval information |
meter
The meter comma, or more simply, the meter, is a 7-limit unnoticeable comma with a ratio of 703125/702464 and a value of approximately 1.6 cents. It is the difference between a stack of three septimal kleismas and a syntonic comma.
Temperaments
Tempering it out splits the syntonic comma into three equal parts, one for the septimal kleisma, and two for the septimal semicomma.
Meter (31 & 171 & 323)
Subgroup: 2.3.5.7
Comma list: 703125/702464
Mapping: [⟨1 0 2 1], ⟨0 1 1 3], ⟨0 0 -3 -7]]
POTE generators: ~3/2 = 701.8766, ~75/56 = 505.2613
Badness: 0.1498 × 10-3
See also
- Metric microtemperaments, where it is tempered out
- Unnoticeable comma