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 ==

* [[Metric microtemperaments]]

* [[Metric microtemperaments]], where it is tempered out

* [[Unnoticeable comma]]

[[Category:7-limit]]

[[Category:Unnoticeable comma]]

[[Category:Metric]]

[[Category:Metric (temperament)]]

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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 ==
-* [[Metric microtemperaments]]
+* [[Metric microtemperaments]], where it is tempered out
 * [[Unnoticeable comma]]
 [[Category:7-limit]]
 [[Category:Unnoticeable comma]]
-[[Category:Metric]]
+[[Category:Metric (temperament)]]