Fractional-octave temperaments: Difference between revisions
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** [[Qintosec family #Sengasec|Sengasec]] | ** [[Qintosec family #Sengasec|Sengasec]] | ||
** [[Cloudy clan #Quinkee|Quinkee]] | ** [[Cloudy clan #Quinkee|Quinkee]] | ||
* [[Landscape microtemperaments #Sextile|Sextile]], [[Stearnsmic clan #Stearnscape|Stearnscape]] (1\6 period) | * [[Augmented family #Hexe|Hexe]], [[Landscape microtemperaments #Sextile|Sextile]], [[Stearnsmic clan #Stearnscape|Stearnscape]] (1\6 period) | ||
* [[Akjaysma|Akjaysmic temperaments]] (1\7 period) | * [[Akjaysma|Akjaysmic temperaments]] (1\7 period) | ||
** [[Ragismic microtemperaments #Brahmagupta|Brahmagupta]] | ** [[Ragismic microtemperaments #Brahmagupta|Brahmagupta]] | ||
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=== Rubidium === | === Rubidium === | ||
The name of rubidium temperament comes from Rubidium, the 37th element. | The name of rubidium temperament comes from Rubidium, the 37th element. | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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Badness: 0.048732 | Badness: 0.048732 | ||
=== Triacontaheptoid === | |||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 244140625/242121642, 283115520/282475249 | |||
[[Mapping]]: [{{val|37 23 74 92}}, {{val|0 3 1 1}}] | |||
[[POTE generator]]: ~5/4 = 385.3041 | |||
{{Val list|legend=1| 37, 259b, 296, 629, 925c }} | |||
[[Badness]]: 0.784746 | |||
==== 11-limit ==== | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 1375/1372, 4000/3993, 226492416/226474325 | |||
Mapping: [{{val|37 23 74 92 128}}, {{val|0 3 1 1 0}}] | |||
POTE generator: ~5/4 = 385.3281 | |||
Vals: {{Val list| 37, 259b, 296, 629 }} | |||
Badness: 0.167327 | |||
==== 13-limit ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 625/624, 1375/1372, 4000/3993, 15379/15360 | |||
Mapping: [{{val|37 23 74 92 128 125}}, {{val|0 3 1 1 0 1}}] | |||
POTE generator: ~5/4 = 385.3067 | |||
Vals: {{Val list| 37, 259b, 296, 629f, 925cf }} | |||
Badness: 0.076183 | |||
==== 17-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 625/624, 715/714, 1225/1224, 4000/3993, 11271/11264 | |||
Mapping: [{{val|37 23 74 92 128 125 175}}, {{val|0 3 1 1 0 1 -2}}] | |||
POTE generator: ~5/4 = 385.3427 | |||
Vals: {{Val list| 37, 259b, 296, 629f }} | |||
Badness: 0.052475 | |||
== 65th-octave temperaments == | == 65th-octave temperaments == | ||
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=== Terbium === | === Terbium === | ||
The name of terbium temperament comes from Terbium, the 65th element. | The name of terbium temperament comes from Terbium, the 65th element. | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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=== Parakleischis === | === Parakleischis === | ||
118EDO and its multiples are members of both [[parakleismic]] and [[Schismatic family|schismic]], and from this it derives its name. | 118EDO and its multiples are members of both [[parakleismic]] and [[Schismatic family|schismic]], and from this it derives its name. | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||