Hemfiness temperaments: Difference between revisions
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Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
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* [[Meantone family #Jerome|Jerome]] | * [[Meantone family #Jerome|Jerome]] | ||
* [[Archytas clan #Progress|Progress]] | * [[Archytas clan #Progress|Progress]] | ||
* [[Wizmic microtemperaments # | * [[Wizmic microtemperaments #Witcher|Witcher]] | ||
== Undesemi == | == Undesemi == | ||
Revision as of 23:01, 5 August 2023
Hemfiness rank-two temperaments temper out the hemfiness comma, 4096000/4084101 = [15 -5 3 -5⟩ (saquinru-atriyo), the amount by which a stack of three 5/4s and five 32/21s exceed four octaves.
Temperaments dicussed elsewhere include:
- Hemififths
- Nessafof
- Gamera
- Superkleismic
- Quanharuk
- Merman
- Decipentic
- Oquatonic
- Stockhausenic
- Secant
- Thuja
- Jerome
- Progress
- Witcher
Undesemi
Subgroup: 2.3.5.7
Comma list: 4096000/4084101, 95703125/95551488
Mapping: [⟨1 5 5 1], ⟨0 -51 -40 27]]
POTE generator: ~8575/8192 = 80.347
Optimal ET sequence: 15, 194, 209, 224, 463, 687, 1150d
Badness: 0.178777
11-limit
Subgroup: 2.3.5.7.11
Comma list: 3025/3024, 4000/3993, 180224/180075
Mapping: [⟨1 5 5 1 5], ⟨0 -51 -40 27 -23]]
POTE generator: ~22/21 = 80.347
Optimal ET sequence: 15, 194, 209, 224, 463, 1150de
Badness: 0.042318