5632/5625: Difference between revisions
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Royalmilktea (talk | contribs) vishdel comma desc., subgroup temperament |
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* [[Unnoticeable comma]] | * [[Unnoticeable comma]] | ||
* [[Rank-4 temperament|Rank-4 temperaments]], where this comma's rank-4 temperament should be added to. | * [[Rank-4 temperament|Rank-4 temperaments]], where this comma's rank-4 temperament should be added to. | ||
[[Category:11-limit]] | |||
[[Category:Unnoticeable comma]] | |||
Revision as of 16:03, 29 September 2022
The vishdel comma is an 11-limit unnoticeable comma with a ratio of 5632/5625, a monzo of [9 -2 -4 0 1⟩, and a size of 2.1531 cents. It is the amount that the eleventh harmonic overshoots two perfect fifths, four major thirds, and an octave combined. It is tempered out in 11-limit extensions of temperaments such as vishnu, grendel, quasiorwell, hemithirds, and decoid.
Temperament
Tempering this comma out gives the rank-4 vishdel temperament. Below however, is a rank-3 subgroup temperament since the vishdel comma doesn't have any sevens in it.
118 & 65 & 152
Subgroup: 2.3.5.11
Comma list: 5632/5625
Mapping: [⟨1 0 0 -9], ⟨0 1 0 2], ⟨0 0 1 4]]
POTE generators: ~3 = 1902.1744, ~5 = 2786.7968
Vals: 31, 34, 53, 65, 87, 118, 152, 183, 217, 270
See also
- Unnoticeable comma
- Rank-4 temperaments, where this comma's rank-4 temperament should be added to.