Breedsmic temperaments: Difference between revisions
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= Neominor = | = Neominor = | ||
The generator for neominor temperament is tridecimal minor third [[13/11]], also known as "<b>Neo-gothic minor third</b>". | |||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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= Quinmite = | = Quinmite = | ||
The generator for quinmite is quasi-tempered minor third 25/21, flatter than 6/5 by the starling comma, 126/125. | |||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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= Unthirds = | = Unthirds = | ||
The generator for unthirds temperament is undecimal major third, 14/11. | |||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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= Newt = | = Newt = | ||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 2401/2400, 33554432/33480783 | |||
[[Mapping]]: [{{val|1 1 19 11}}, {{val|0 2 -57 -28}}] | |||
{{Multival|legend=1|2 -57 -28 -95 -50 95}} | |||
[[POTE generator]]: ~49/40 = 351.113 | |||
Badness: 0. | {{Val list|legend=1| 41, 188, 229, 270, 1121, 1391, 1661, 1931, 2201, 6333bc }} | ||
[[Badness]]: 0.041878 | |||
== 11-limit == | == 11-limit == | ||
Subgroup: 2.3.5.7.11 | |||
Comma list: 2401/2400, 3025/3024, 19712/19683 | |||
Mapping: [{{val|1 1 19 11 -10}}, {{val|0 2 -57 -28 46}}] | |||
POTE generator: ~49/40 = 351.115 | POTE generator: ~49/40 = 351.115 | ||
Vals: {{Val list| 41, 188, 229, 270, 581, 851, 1121, 1972, 3093b, 4214b }} | |||
Badness: 0.019461 | |||
== 13-limit == | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 2080/2079, 2401/2400, 3025/3024, 4096/4095 | |||
Mapping: [{{val|1 1 19 11 -10 -20}}, {{val|0 2 -57 -28 46 81}}] | |||
POTE generator: ~49/40 = 351.117 | |||
Vals: {{Val list| 41, 229, 270, 581, 851, 2283b, 3134b }} | |||
Badness: 0. | Badness: 0.013830 | ||
= Amicable = | = Amicable = | ||
{{see also| Amity family }} | {{see also| Amity family }} | ||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 2401/2400, 1600000/1594323 | |||
[[Mapping]]: [{{val|1 3 6 5}}, {{val|0 -20 -52 -31}}] | |||
{{Multival|legend=1|20 52 31 36 -7 -74}} | |||
[[POTE generator]]: ~21/20 = 84.880 | |||
{{Val list|legend=1| 99, 212, 311, 410, 1131, 1541b }} | |||
Badness: 0. | [[Badness]]: 0.045473 | ||
= Septidiasemi = | = Septidiasemi = |