Meter: Difference between revisions
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m Normalising usage of Infobox Interval |
Actually the name should be either "meter" or "metric comma" |
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 703125/702464 | | Ratio = 703125/702464 | ||
| Name = meter comma, meter | | Name = meter, metric comma, meter comma | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
The '''meter comma''' | The '''meter''', also known as the '''metric comma''' or the '''meter comma''', is a [[unnoticeable comma|unnoticeable]] [[7-limit]] [[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 == | == 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]]. | Tempering it out leads to the '''metric temperament''', which splits the syntonic comma into three equal parts, one for the septimal kleisma, and two for the [[126/125|septimal semicomma]]. | ||
See [[metric microtemperaments]] for a collection of rank-2 temperaments where it is tempered out. | |||
=== Metric (31 & 171 & 323) === | === Metric (31 & 171 & 323) === | ||
| Line 24: | Line 26: | ||
== See also == | == See also == | ||
* [[Unnoticeable comma]] | * [[Unnoticeable comma]] | ||
[[Category:Metric (temperament)]] | [[Category:Metric (temperament)]] | ||
Revision as of 15:58, 14 November 2022
| Interval information |
metric comma,
meter comma
The meter, also known as the metric comma or the meter comma, is a unnoticeable 7-limit 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 leads to the metric temperament, which splits the syntonic comma into three equal parts, one for the septimal kleisma, and two for the septimal semicomma.
See metric microtemperaments for a collection of rank-2 temperaments where it is tempered out.
Metric (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