Parkleiness temperaments: Difference between revisions
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== Octogintic == | |||
The ''octogintic'' temperament has a period of 1/80 octave and tempers out the parkleiness comma and the starscape comma (645700815/645657712), as well as [[15/14ths equal temperament|linus comma]], 578509309952/576650390625. | |||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 1959552/1953125, 645700815/645657712 | |||
[[Mapping]]: [{{val|80 127 186 225}}, {{val|0 -1 -1 -2}}] | |||
{{Multival|legend=1|80 80 160 -59 29 147}} | |||
[[POTE generator]]: ~3/2 = 701.940 | |||
{{Val list|legend=1| 80, 320, 400 }} | |||
[[Badness]]: 0.307033 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 9801/9800, 46656/46585, 391314/390625 | |||
Mapping: [{{val|80 127 186 225 277}}, {{val|0 -1 -1 -2 -1}}] | |||
POTE generator: ~3/2 = 701.982 | |||
Vals: {{Val list| 80, 320, 400 }} | |||
Badness: 0.067939 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 1001/1000, 4225/4224, 4459/4455, 46656/46585 | |||
Mapping: [{{val|80 127 186 225 277 296}}, {{val|0 -1 -1 -2 -1 0}}] | |||
POTE generator: ~3/2 = 701.796 | |||
Vals: {{Val list| 80, 320, 400, 720, 1120 }} | |||
Badness: 0.046158 | |||
=== 17-limit === | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 936/935, 1001/1000, 1377/1375, 4225/4224, 4459/4455 | |||
Mapping: [{{val|80 127 186 225 277 296 327}}, {{val|0 -1 -1 -2 -1 0 0}}] | |||
POTE generator: ~3/2 = 701.800 | |||
Vals: {{Val list| 80, 320, 400, 720, 1120 }} | |||
Badness: 0.029279 | |||
=== 19-limit === | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 936/935, 969/968, 1001/1000, 1377/1375, 1521/1520, 3136/3135 | |||
Mapping: [{{val|80 127 186 225 277 296 327 340}}, {{val|0 -1 -1 -2 -1 0 0 -1}}] | |||
POTE generator: ~3/2 = 701.784 | |||
Vals: {{Val list| 80, 320, 400, 720h, 1120h }} | |||
Badness: 0.021470 | |||
[[Category:Temperament]] | [[Category:Temperament]] | ||
[[Category:Temperament collection]] | [[Category:Temperament collection]] | ||
[[Category:Rank 2]] | [[Category:Rank 2]] |