Wizma: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 420175/419904 | | Ratio = 420175/419904 | ||
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The '''wizma''' ({{monzo|legend=1| -6 -8 2 5 }}, [[ratio]]: 420175/419904) is an [[unnoticeable comma|unnoticeable]] [[7-limit]] [[comma]] measuring about 1.12{{cent}}. In terms of other commas, it is the difference between [[245/243]] and [[1728/1715]], and it is the sum of [[2401/2400]] and [[4375/4374]], the two smallest 7-limit [[superparticular ratio|superparticular commas]]. | |||
== Temperaments == | |||
Tempering out this comma alone in the 7-limit leads to the rank-3 '''wizmic temperament''', where the [[64/63|septimal comma (64/63)]] is split into two equal parts, each for 245/243~1728/1715. | |||
See [[Wizmic microtemperaments]] for a collection of rank-2 temperaments where it is tempered out. | |||
[[Category:Wizmic]] | |||
Revision as of 14:26, 6 January 2024
| Interval information |
The wizma (monzo: [-6 -8 2 5⟩, ratio: 420175/419904) is an unnoticeable 7-limit comma measuring about 1.12 ¢. In terms of other commas, it is the difference between 245/243 and 1728/1715, and it is the sum of 2401/2400 and 4375/4374, the two smallest 7-limit superparticular commas.
Temperaments
Tempering out this comma alone in the 7-limit leads to the rank-3 wizmic temperament, where the septimal comma (64/63) is split into two equal parts, each for 245/243~1728/1715.
See Wizmic microtemperaments for a collection of rank-2 temperaments where it is tempered out.