Wizmic microtemperaments: Difference between revisions
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A wizmic temperament is one which tempers out the wizma, | -6 -8 2 5 > = 420175/419904. | A wizmic temperament is one which tempers out the wizma, |-6 -8 2 5> = 420175/419904. | ||
Discussed elsewhere are [[ennealimmal]], [[fifthplus]], [[hemiseven]], [[hendecatonic]], [[sengagen]], [[septiquarter]], [[tsaharuk]], and [[wizard]]. | Discussed elsewhere are [[ennealimmal]], [[fifthplus]], [[hemiseven]], [[hendecatonic]], [[sengagen]], [[septiquarter]], [[tsaharuk]], and [[wizard]]. | ||
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[[Badness]]: 0.044417 | [[Badness]]: 0.044417 | ||
= Tertiathirds = | |||
The ''tertiathirds'' temperament (121&270, named by [[User:Xenllium|Xenllium]]) tempers out the quasiorwellisma, 29360128/29296875 in the 7-limit, as well as the wizma. This temperament splits the interval of 5/4 into three 14/13 generators. | |||
[[Comma list]]: 420175/419904, 29360128/29296875 | |||
[[Mapping]]: [<1 -4 2 -6|, <0 52 3 82|] | |||
[[Wedgie]]: <<52 3 82 -116 -16 182|| | |||
[[POTE tuning|POTE generator]]: ~3375/3136 = 128.8879 | |||
{{Val list|legend=1| 121, 149, 270, 2309c, 2579c, 2849c, 3119bc, 3389bc, 3659bcc, 3929bcc, 4199bcc }} | |||
[[Badness]]: 0.093005 | |||
== 11-limit == | |||
Comma list: 3025/3024, 5632/5625, 117649/117612 | |||
Mapping: [<1 -4 2 -6 -9|, <0 52 3 82 116|] | |||
POTE generator: ~264/245 = 128.8898 | |||
Vals: {{Val list| 121, 149, 270, 2551bc, 2821bc, 3091bc, 3361bc, 3631bbcc, 3901bbccd, 4171bbccd, 4441bbccd, 4711bbccd }} | |||
Badness: 0.033322 | |||
== 13-limit == | |||
Comma list: 676/675, 1716/1715, 3025/3024, 4225/4224 | |||
Mapping: [<1 -4 2 -6 -9 -5|, <0 52 3 82 116 81|] | |||
POTE generator: ~14/13 = 128.8902 | |||
Vals: {{Val list| 121, 149, 270, 1741bc, 2011bcf, 2281bcf, 2551bcf, 2821bcf, 3091bcff, 3361bcff }} | |||
Badness: 0.019494 | |||
== 17-limit == | |||
Comma list: 676/675, 715/714, 1716/1715, 2025/2023, 4225/4224 | |||
Mapping: [<1 -4 2 -6 -9 -5 -3|, <0 52 3 82 116 81 66|] | |||
POTE generator: ~14/13 = 128.8912 | |||
Vals: {{Val list| 121, 149, 270 }} | |||
Badness: 0.019107 | |||
[[Category:Temperament]] | [[Category:Temperament]] | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||
[[Category:Wizmic]] | [[Category:Wizmic]] | ||