Fractional-octave temperaments: Difference between revisions
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Temperaments discussed elsewhere include: | Temperaments discussed elsewhere include: | ||
* [[Akjaysmic microtemperaments|Akjaysmic temperaments]] (1\7 period) | |||
** [[Ragismic microtemperaments #Brahmagupta|Brahmagupta]] | |||
** [[Schismatic family #Septant|Septant]] | |||
** [[Apotome family #Whitewood|Whitewood]] | |||
** [[Keemic temperaments #Sevond|Sevond]] | |||
** [[Mistismic temperaments #Neutron|Neutron]] | |||
* [[Ragismic microtemperaments #Octoid|Octoid]] (1\8 period) | |||
* [[Tritrizo clan|Tritrizo temperaments]] (1\9 period) | * [[Tritrizo clan|Tritrizo temperaments]] (1\9 period) | ||
** [[Ragismic microtemperaments #Ennealimmal|Ennealimmal]] | ** [[Ragismic microtemperaments #Ennealimmal|Ennealimmal]] | ||
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* [[31st-octave temperaments|Birds]] (1\31 period) | * [[31st-octave temperaments|Birds]] (1\31 period) | ||
* [[Compton family #Decades|Decades]] (1\36 period) | * [[Compton family #Decades|Decades]] (1\36 period) | ||
* [[Ragismic microtemperaments #Enneadecal|Hemienneadecal]] (1\38 period) | |||
* [[Counterpyth family|Counterpyth]] (1\41 period) | * [[Counterpyth family|Counterpyth]] (1\41 period) | ||
* [[Mitonismic temperaments #Meridic|Meridic]] (1\43 period) | * [[Mitonismic temperaments #Meridic|Meridic]] (1\43 period) | ||
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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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== 65th-octave temperaments == | == 65th-octave temperaments == | ||
[[65edo|65EDO]] is accurate for harmonics 3 | [[65edo|65EDO]] is accurate for harmonics 3, 5, and 11, so various 65th-octave temperaments actually make sense. | ||
=== 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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Badness: 0.036267 | Badness: 0.036267 | ||
== 118th-octave temperaments == | |||
[[118edo|118EDO]] is accurate for harmonics 3 and 5, so various 118th-octave temperaments actually make sense. | |||
=== Parakleischis === | |||
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 | |||
[[Comma list]]: 32805/32768, 1224440064/1220703125 | |||
[[Mapping]]: [{{val|118 187 274 0}}, {{val|0 0 0 1}}] | |||
[[POTE generator]]: ~8/7 = 231.2765 | |||
{{Val list|legend=1| 118, 236, 354, 472, 2242, 2714b, 3186b, 3658b }} | |||
[[Badness]]: 0.145166 | |||
==== 11-limit ==== | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 9801/9800, 32805/32768, 137781/137500 | |||
Mapping: [{{val|118 187 274 0 77}}, {{val|0 0 0 1 1}}] | |||
POTE generator: ~8/7 = 231.4883 | |||
Vals: {{Val list| 118, 354, 472 }} | |||
Badness: 0.049316 | |||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||
[[Category:Temperament collection]] | [[Category:Temperament collection]] | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||