Frameshift clan: Difference between revisions
m Moving from Category:Temperament families to Category:Temperament clans using Cat-a-lot |
Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
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[[POTE generator]]: 1\159, ~768/767 = 2.2565 | [[POTE generator]]: 1\159, ~768/767 = 2.2565 | ||
{{ | {{Optimal ET sequence|legend=1|159, 318, 477c, 636c, 795cd}} | ||
[[Badness]]: | [[Badness]]: | ||
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[[POTE generator]]: ~2707/2048 = 483.0025 | [[POTE generator]]: ~2707/2048 = 483.0025 | ||
{{ | {{Optimal ET sequence|legend=1|159, 241, 400, 559, 959}} | ||
[[Badness]]: | [[Badness]]: | ||
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[[POTE generator]]: | [[POTE generator]]: | ||
{{ | {{Optimal ET sequence|legend=1| }} | ||
[[Badness]]: | [[Badness]]: | ||
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[[POTE generator]]: ~11585/8192 = 600, ~329/296 = 183.0023 | [[POTE generator]]: ~11585/8192 = 600, ~329/296 = 183.0023 | ||
{{ | {{Optimal ET sequence|legend=1|118, 282, 400, 518, 636, 754d, 918}} | ||
[[Badness]]: | [[Badness]]: | ||
[[Category:Temperament clans]] | [[Category:Temperament clans]] | ||
Revision as of 18:14, 7 May 2023
These are rank-2 temperaments that temper out the frameshift comma, 22876792454961/22866405883904 = [-34 28 0 0 -3⟩.
Temperaments discussed elsewhere include:
- Guiron, {385/384, 441/440, 10976/10935} → Gamelismic clan
- Quarterframe, {3025/3024, 26214400/26198073, 29296875/29218112} → The Quartercache
- Tritricot, {4000/3993, 166698/166375, 200704/200475} → Tricot family
Auric
This temperament has a single step of 159edo as a period, with the generator for the 7-prime being independent
Subgroup: 2.3.5.7.11
Comma list: 4000/3993, 15625/15552, 32805/32768
Mapping: [⟨159 252 369 446 550], ⟨0 0 0 1 0]]
POTE generator: 1\159, ~768/767 = 2.2565
Optimal ET sequence: 159, 318, 477c, 636c, 795cd
400 & 159
Subgroup: 2.3.5.7.11
Comma list: 200704/200475, 160083/160000, 166698/166375
Mapping: [⟨1 4 47 66 26], ⟨0 -6 -111 -157 -56]]
POTE generator: ~2707/2048 = 483.0025
Optimal ET sequence: 159, 241, 400, 559, 959
Brief
This temperament's name comes from the fact that it tempers out both the Breedsma and the reef comma.
Subgroup: 2.3.5.7.11
Comma list: 2401/2400, 131072/130977, 200704/200475
Wedgie: ⟨⟨ ]]
118 & 400
Subgroup: 2.3.5.7.11
Comma list: 5632/5625, 9801/9800, 200704/200475
Mapping: [⟨2 5 8 23 24], ⟨0 -6 -11 -57 -56]]
POTE generator: ~11585/8192 = 600, ~329/296 = 183.0023