Meter: Difference between revisions
Jump to navigation
Jump to search
m FloraC moved page Meter comma to Meter over redirect: Primary name is "meter" |
m -typo and update keys |
||
| Line 4: | Line 4: | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
The '''meter''', also known as the '''metric comma''' or the '''meter comma''', is an [[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]]. | |||
The '''meter''', also known as the '''metric comma''' or the '''meter comma''', is | |||
== Temperaments == | == Temperaments == | ||
| Line 13: | Line 12: | ||
=== Metric (31 & 171 & 323) === | === Metric (31 & 171 & 323) === | ||
Subgroup: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
[[Comma list]]: 703125/702464 | [[Comma list]]: 703125/702464 | ||
| Line 19: | Line 18: | ||
[[Mapping]]: [{{val| 1 0 2 1 }}, {{val| 0 1 1 3 }}, {{val| 0 0 -3 -7 }}] | [[Mapping]]: [{{val| 1 0 2 1 }}, {{val| 0 1 1 3 }}, {{val| 0 0 -3 -7 }}] | ||
[[POTE | [[Optimal tuning]] ([[POTE]]): ~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 }} | {{Val list|legend=1| 12, 19, 31, 81, 90, 102d, 109, 121, 140, 152, 171, 665, 836, 1007, 2185, 3192c }} | ||
Revision as of 16:13, 14 November 2022
| Interval information |
metric comma,
meter comma
The meter, also known as the metric comma or the meter comma, is an 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]]
Optimal tuning (POTE): ~3/2 = 701.8766, ~75/56 = 505.2613
Badness: 0.1498 × 10-3