Cataharry temperaments: Difference between revisions
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[[ | '''Cataharry temperaments''' temper out the [[cataharry comma]], {{monzo| -4 9 -2 -2 }} = 19683/19600. | ||
= Swetneus = | |||
=Swetneus= | |||
The swetneus temperament takes its name from the fact that an approximate swetismic neutral second, ~49/45, is the generator. | The swetneus temperament takes its name from the fact that an approximate swetismic neutral second, ~49/45, is the generator. | ||
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Wedgie: <<20 47 43 28 12 -32|| | Wedgie: <<20 47 43 28 12 -32|| | ||
EDOs | {{EDOs|legend=1| 58, 91, 149, 505d, 654bd, 803bd }} | ||
Badness: 0.1332 | Badness: 0.1332 | ||
==11-limit== | == 11-limit == | ||
Commas: 441/440, 3388/3375, 19683/19600 | Commas: 441/440, 3388/3375, 19683/19600 | ||
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Map: [|1 4 8 8 13>, |0 -20 -47 -43 -79>] | Map: [|1 4 8 8 13>, |0 -20 -47 -43 -79>] | ||
EDOs | {{EDOs|legend=1| 58, 149, 207, 356e, 563cde, 919bcde }} | ||
Badness: 0.0552 | Badness: 0.0552 | ||
==13-limit== | == 13-limit == | ||
Commas: 351/350, 441/440, 676/675, 847/845 | Commas: 351/350, 441/440, 676/675, 847/845 | ||
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Map: [|1 4 8 8 13 13>, |0 -20 -47 -43 -79 -77>] | Map: [|1 4 8 8 13 13>, |0 -20 -47 -43 -79 -77>] | ||
EDOs | {{EDOs|legend=1| 58, 149, 207, 356e, 563cde, 919bcdef }} | ||
Badness: 0.0289 | Badness: 0.0289 | ||
[[Category:Theory]] | |||
[[Category:Temperament]] | |||
[[Category:Cataharry]] | |||
[[Category:Rank 2]] | |||
Revision as of 12:51, 11 January 2021
Cataharry temperaments temper out the cataharry comma, [-4 9 -2 -2⟩ = 19683/19600.
Swetneus
The swetneus temperament takes its name from the fact that an approximate swetismic neutral second, ~49/45, is the generator.
Commas: 19683/19600, 50421/50000
POTE generator: ~49/45 = 144.956
Map: [|1 4 8 8>, |0 -20 -47 -43>]
Wedgie: <<20 47 43 28 12 -32||
EDOs: 58, 91, 149, 505d, 654bd, 803bd
Badness: 0.1332
11-limit
Commas: 441/440, 3388/3375, 19683/19600
POTE generator: ~49/45 = 144.941
Map: [|1 4 8 8 13>, |0 -20 -47 -43 -79>]
EDOs: 58, 149, 207, 356e, 563cde, 919bcde
Badness: 0.0552
13-limit
Commas: 351/350, 441/440, 676/675, 847/845
POTE generator: ~49/45 = 144.939
Map: [|1 4 8 8 13 13>, |0 -20 -47 -43 -79 -77>]
EDOs: 58, 149, 207, 356e, 563cde, 919bcdef
Badness: 0.0289