Gravity family: Difference between revisions
m +intro; +temperament discussed elsewhere |
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Badness: 0.0932 | Badness: 0.0932 | ||
=Harry= | = Harry = | ||
{{main|Harry}} | {{main|Harry}} | ||
{{see also|Breedsmic temperaments #Harry}} | {{see also|Breedsmic temperaments #Harry}} | ||
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Harry temperament can be described as 58&72 temperament, tempering out 7-limit commas 2401/2400 and 19683/19600; 11-limit commas 243/242, 441/440 and 4000/3993, leading to a period of a half octave and a generator of minor semitone tempered between [[21/20]] and [[22/21]]. Harry temperament also equates 14/13 with 27/25 in the 13-limit, 17/16 with 18/17 and 13/11 with 20/17 in the 17-limit. | Harry temperament can be described as 58&72 temperament, tempering out 7-limit commas 2401/2400 and 19683/19600; 11-limit commas 243/242, 441/440 and 4000/3993, leading to a period of a half octave and a generator of minor semitone tempered between [[21/20]] and [[22/21]]. Harry temperament also equates 14/13 with 27/25 in the 13-limit, 17/16 with 18/17 and 13/11 with 20/17 in the 17-limit. | ||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 2401/2400, 19683/19600 | |||
[[Mapping]]: [{{val| 2 4 7 7 }}, {{val| 0 -6 -17 -10 }}] | |||
{{Multival|legend=1| 12 34 20 26 -2 -49 }} | |||
[[POTE generator]]: ~21/20 = 83.156 | |||
{{Val list|legend=1| 14c, 58, 72, 130, 202, 534, 736b, 938b }} | |||
==11-limit== | [[Badness]]: 0.034077 | ||
== 11-limit == | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 243/242, 441/440, 4000/3993 | |||
Mapping: [{{val| 2 4 7 7 9 }}, {{val| 0 -6 -17 -10 -15 }}] | |||
POTE generator: ~21/20 = 83.167 | POTE generator: ~21/20 = 83.167 | ||
Vals: {{Val list| 14c, 58, 72, 130, 202 }} | |||
Badness: 0.015867 | |||
== 13-limit == | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 243/242, 351/350, 441/440, 676/675 | |||
Mapping: [{{val| 2 4 7 7 9 11 }}, {{val| 0 -6 -17 -10 -15 -26 }}] | |||
POTE generator: ~21/20 = 83.116 | POTE generator: ~21/20 = 83.116 | ||
Vals: {{Val list| 58, 72, 130, 332f, 462ef }} | |||
Badness: 0.013046 | |||
== 17-limit == | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 221/220, 243/242, 289/288, 351/350, 441/440 | |||
Mapping: [{{val| 2 4 7 7 9 11 9 }}, {{val| 0 -6 -17 -10 -15 -26 -6 }}] | |||
POTE generator: ~21/20 = 83.168 | POTE generator: ~21/20 = 83.168 | ||
Vals: {{Val list| 58, 72, 130, 202g }} | |||
Badness: 0. | Badness: 0.012657 | ||
=Gravid= | =Gravid= | ||