Gamelismic family: Difference between revisions
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The '''gamelismic family''' of temperaments are rank-3 temperaments tempering out [[1029/1024]]. | |||
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[[ | = Gamelan = | ||
[[Comma]]: c = 1029/1024 | |||
7-limit minimax tuning: 3, 5, and 7 1/4c flat | 7-limit minimax tuning: 3, 5, and 7 1/4c flat | ||
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TOP-RMS: <1200.486 1901.833 2786.314 3367.676| | TOP-RMS: <1200.486 1901.833 2786.314 3367.676| | ||
[[ | [[Minkowski lattice basis]]: 8/7 length 0.5192, 5/4 length = log2(5) | ||
Angle(8/7, 5/4) = 90 degrees | Angle(8/7, 5/4) = 90 degrees | ||
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Badness: 0.000176 | Badness: 0.000176 | ||
[[ | [[Projection pair]]: 3 1024/343 to 2.5.7 | ||
=Portent= | = Portent = | ||
Portent has a [[ | Portent has a [[Normal lists|normal comma list]] [1029/1024, 385/384] and also tempers out 441/440. | ||
[[Comma | [[Comma]]s: c = 1029/1024, e = 385/384 | ||
Minimax: 3 1/7c flat, 5 and 7 2/7c flat, 11 e-3/7c flat | Minimax: 3 1/7c flat, 5 and 7 2/7c flat, 11 e-3/7c flat | ||
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Projection pairs: 3 1024/343 11 131072/12005 to 2.5.7 | Projection pairs: 3 1024/343 11 131072/12005 to 2.5.7 | ||
==Portending== | == Portending == | ||
Commas: 325/324, 364/363, 441/440 | Commas: 325/324, 364/363, 441/440 | ||
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Badness: 0.000627 | Badness: 0.000627 | ||
==Portentous== | == Portentous == | ||
Commas: 385/384, 441/440, 625/624 | Commas: 385/384, 441/440, 625/624 | ||
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Badness: 0.000662 | Badness: 0.000662 | ||
==Ominous== | == Ominous == | ||
Commas: 351/350, 385/384, 441/440 | Commas: 351/350, 385/384, 441/440 | ||
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Badness: 0.000751 | Badness: 0.000751 | ||
===17-limit=== | === 17-limit === | ||
Commas: 273/272, 351/350, 441/440, 561/560 | Commas: 273/272, 351/350, 441/440, 561/560 | ||
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Badness: 0.000612 | Badness: 0.000612 | ||
==Momentous== | == Momentous == | ||
Commas: 196/195, 352/351, 385/384 | Commas: 196/195, 352/351, 385/384 | ||
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Badness: 0.000832 | Badness: 0.000832 | ||
==Foreboding== | == Foreboding == | ||
Commas: 105/104, 144/143, 275/273 | Commas: 105/104, 144/143, 275/273 | ||
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Badness: 0.000873 | Badness: 0.000873 | ||
=Gamel= | = Gamel = | ||
Commas: 1029/1024, 540/539 | Commas: 1029/1024, 540/539 | ||
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[[Category:Theory]] | [[Category:Theory]] | ||
[[Category:Temperament family]] | [[Category:Temperament family]] | ||
[[Category:Gamelan]] | [[Category:Gamelan]] | ||
[[Category:Gamelismic]] | [[Category:Gamelismic]] | ||
[[Category:Rank 3]] | |||