Temperament orphanage: Difference between revisions
Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
Complete the data, update keys and normalize the mapping |
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== Lafa (65 & 441) == | == Lafa (65 & 441) == | ||
Subgroup: 2.3.5 | |||
Comma list: {{monzo| 77 -31 -12 }} | Comma list: {{monzo| 77 -31 -12 }} | ||
Mapping: {{mapping| 1 11 -22 | 0 -12 31 }} | |||
: mapping generators: ~2, ~{{monzo| 33 -13 -5 }} | |||
Optimal tuning (POTE): ~2 = 1\1, ~{{monzo| 33 -13 -5 }} = 941.4971 | |||
{{Optimal ET sequence|legend=1| 65, 246, 311, 376, 441, 2711, 3152, 3593, 4034, 4475, 4916, 5357 }} | {{Optimal ET sequence|legend=1| 65, 246, 311, 376, 441, 2711, 3152, 3593, 4034, 4475, 4916, 5357 }} | ||
Badness: 0.185 | |||
== Vavoom (118 & 665) == | == Vavoom (118 & 665) == | ||
Subgroup: 2.3.5 | |||
Comma list: {{monzo| -68 18 17 }} | Comma list: {{monzo| -68 18 17 }} | ||
Mapping: {{mapping| 1 0 4 | 0 17 -18 }} | |||
: mapping generators: ~2, ~16/15 | |||
Optimal tuning (POTE): ~2 = 1\1, ~16/15 = 111.8765 | |||
{{Optimal ET sequence|legend=1| 32, 43, 75, 118, 429, 547, 665, 783, 901, 1684 }} | {{Optimal ET sequence|legend=1| 32, 43, 75, 118, 429, 547, 665, 783, 901, 1684 }} | ||
Badness: 0.0984 | |||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||
[[Category:Lists of temperaments|*]] | [[Category:Lists of temperaments|*]] | ||
Revision as of 10:32, 15 September 2023
Welcome to the temperament orphanage!
These temperaments need to be adopted into a family.
These are some temperaments that were found floating around. It is not clear what family they belong to, so for now they are in the temperament orphanage. Should you know how to match these temperaments back up with their temperament family, feel free to remove them from the orphanage and put them on the right page. If a temperament listed does not have a name, give it a name.
Please give a short description of whatever temperament you leave here so that someone can help to match this temperament back to its rightful progenitors.
Lafa (65 & 441)
Subgroup: 2.3.5
Comma list: [77 -31 -12⟩
Mapping: [⟨1 11 -22], ⟨0 -12 31]]
- mapping generators: ~2, ~[33 -13 -5⟩
Optimal tuning (POTE): ~2 = 1\1, ~[33 -13 -5⟩ = 941.4971
Optimal ET sequence: 65, 246, 311, 376, 441, 2711, 3152, 3593, 4034, 4475, 4916, 5357
Badness: 0.185
Vavoom (118 & 665)
Subgroup: 2.3.5
Comma list: [-68 18 17⟩
Mapping: [⟨1 0 4], ⟨0 17 -18]]
- mapping generators: ~2, ~16/15
Optimal tuning (POTE): ~2 = 1\1, ~16/15 = 111.8765
Optimal ET sequence: 32, 43, 75, 118, 429, 547, 665, 783, 901, 1684
Badness: 0.0984