Syntonic–diatonic equivalence continuum: Difference between revisions
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Mapping: [{{val| 1 4 14 }}, {{val| 0 -6 -29 }}] | Mapping: [{{val| 1 4 14 }}, {{val| 0 -6 -29 }}] | ||
Mapping generators: ~2, ~320/243 | |||
POTE generator: ~320/243 = 483.2474 | POTE generator: ~320/243 = 483.2474 | ||
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Comma list: 5242880/4782969 | Comma list: 5242880/4782969 | ||
Mapping: [{{val| 1 | Mapping: [{{val| 1 0 -20 }}, {{val| 0 -1 -14 }}] | ||
POTE generator: ~ | Mapping generators: ~2, ~3 | ||
POTE generator: ~3/2 = 713.8287 | |||
Vals: {{Val list| 5, 27c, 32, 37, 79bc, 116bbc }} | Vals: {{Val list| 5, 27c, 32, 37, 79bc, 116bbc }} | ||
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Mapping: [{{val| 1 1 -2 }}, {{val| 0 3 22 }}] | Mapping: [{{val| 1 1 -2 }}, {{val| 0 3 22 }}] | ||
Mapping generators: ~2, ~2560/2187 | |||
POTE generator: ~2560/2187 = 235.8673 | POTE generator: ~2560/2187 = 235.8673 | ||
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== Counterpental == | == Counterpental == | ||
{{See also| Orwellismic temperaments #Pentorwell }} | {{See also| Orwellismic temperaments #Pentorwell }} | ||
Subgroup: 2.3.5 | |||
Comma list: {{monzo| 36 -30 5 }} | Comma list: {{monzo| 36 -30 5 }} | ||
Mapping: [{{val| 5 | Mapping: [{{val| 5 0 -36 }}, {{val| 0 1 6 }}] | ||
Mapping generators: ~729/640, ~3 | |||
POTE generator: | POTE generator: ~3/2 = 704.5722 | ||
Vals: {{Val list| 5, 75, 80 }} | Vals: {{Val list| 5, 75, 80 }} | ||
Badness: 1.500224 | Badness: 1.500224 | ||
== Septiquarter == | == Septiquarter == | ||
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Subgroup: 2.3.5 | Subgroup: 2.3.5 | ||
Comma: {{ | Comma list: {{monzo| 44 -38 7 }} | ||
Mapping: [{{val|1 3 10}}, {{val|0 -7 -38}}] | Mapping: [{{val| 1 3 10 }}, {{val| 0 -7 -38 }}] | ||
Mapping generators: ~2, ~204800/177147 | |||
POTE generator: ~204800/177147 = 242.4567 | POTE generator: ~204800/177147 = 242.4567 | ||
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Badness: 0.971284 | Badness: 0.971284 | ||
== 559 & 2513 == | == 559 & 2513 == | ||
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Mapping: [{{val| 1 10 46 }}, {{val| 0 -21 -109 }}] | Mapping: [{{val| 1 10 46 }}, {{val| 0 -21 -109 }}] | ||
Mapping generators: ~2, ~3355443200000/2541865828329 | |||
POTE generator: ~3355443200000/2541865828329 = 480.8595 | POTE generator: ~3355443200000/2541865828329 = 480.8595 | ||
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Mapping: [{{val| 1 -2 -16 }}, {{val| 0 9 46 }}] | Mapping: [{{val| 1 -2 -16 }}, {{val| 0 9 46 }}] | ||
Mapping generators: ~2, ~320/243 | |||
POTE generator: ~320/243 = 477.9609 | POTE generator: ~320/243 = 477.9609 | ||
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Subgroup: 2.3.5 | Subgroup: 2.3.5 | ||
Comma: {{Monzo| -60 54 -11 }} | Comma list: {{Monzo| -60 54 -11 }} | ||
Mapping: [{{val| 1 6 24 }}, {{val| 0 -11 -54 }}] | Mapping: [{{val| 1 6 24 }}, {{val| 0 -11 -54 }}] | ||
POTE generator: ~320/243 = 481.7421 | Mapping generators: ~2, ~320/243 | ||
POTE generator: ~320/243 = 481.7421 | |||
Vals: {{Val list| 5, 127c, 132, 137, 553, 690b, 827b, 964b }} | Vals: {{Val list| 5, 127c, 132, 137, 553, 690b, 827b, 964b }} | ||