No-twos subgroup temperaments: Difference between revisions
Cleanup (2/); - catalogs that don't fit |
Cleanup (3/3) |
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= Other tritave-based subgroups = | = Other tritave-based subgroups = | ||
== Aldebaran == | == Aldebaran == | ||
{{ | {{Main| Aldebaran }} | ||
[[Subgroup]]: 3.5.13 | [[Subgroup]]: 3.5.13 | ||
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[[Comma list]]: 3159/3125 | [[Comma list]]: 3159/3125 | ||
[[ | {{Mapping|legend=2| 1 0 5 | 0 1 -2 }} | ||
[[Optimal tuning]] ([[CTE]]): ~5/3 = 887.76{{c}} | |||
[[Support]]ing [[ET]]s: 15, 17, 13, 32, 47, 28, 11[-13], 19[+13], 43, 9[-13], 7[-13], 49[+13], 21[+13], 41[-13] | [[Support]]ing [[ET]]s: 15, 17, 13, 32, 47, 28, 11[-13], 19[+13], 43, 9[-13], 7[-13], 49[+13], 21[+13], 41[-13] | ||
== Keladic == | == Keladic == | ||
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[[Comma list]]: 351/343 | [[Comma list]]: 351/343 | ||
{{Mapping|legend=2| 1 1 0 | 0 1 3 }} | |||
: mapping generators: ~3, ~7/3 | |||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* | * [[POTE]]: ~3 = 1901.955{{c}}, ~7/3 = 1480.661{{c}} | ||
* [[CWE]]: ~3 = | * [[CWE]]: ~3 = 1901.955{{c}}, ~7/3 = 1479.487{{c}} | ||
[[Support]]ing [[ET]]s: {{EDs|b9, b5, b14, b13, b23, b22, b32, b6f, b31, b19f, b17f, b41, b7ff, b40|equave=t}} | [[Support]]ing [[ET]]s: {{EDs| b9, b5, b14, b13, b23, b22, b32, b6f, b31, b19f, b17f, b41, b7ff, b40 |equave=t}} | ||
== Sadalmelik == | == Sadalmelik == | ||
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[[Comma list]]: 85293/83521 | [[Comma list]]: 85293/83521 | ||
{{Mapping|legend=2| 1 0 2 | 0 4 1 }} | |||
: mapping generators: ~3, ~17/9 | |||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~3 = | * [[CTE]]: ~3 = 1901.955{{c}}, ~17/9 = 1109.689{{c}} | ||
* [[CWE]]: ~3 = | * [[CWE]]: ~3 = 1901.955{{c}}, ~17/9 = 1110.376{{c}} | ||
[[Support]]ing [[ET]]s: {{EDs|b12, b5, b7, b17, b29, b19, b41, b53, b31, b65, b22f, b9ff, b77, b43|equave=t}} | [[Support]]ing [[ET]]s: {{EDs| b12, b5, b7, b17, b29, b19, b41, b53, b31, b65, b22f, b9ff, b77, b43 |equave=t}} | ||
= No-twos-or-threes subgroup temperaments = | = No-twos-or-threes subgroup temperaments = | ||
== Antipyth == | == Antipyth == | ||
{{ | {{Main| Antipyth }} | ||
[[Subgroup]]: 5.7.11 | [[Subgroup]]: 5.7.11 | ||
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{{Mapping|legend=2| 1 2 7 | 0 1 7 }} | {{Mapping|legend=2| 1 2 7 | 0 1 7 }} | ||
: mapping generators: ~5, ~7/25 | |||
[[Optimal tuning]]s ([[CTE]]): ~5 = 2786.314{{c}}, ~7/5 = 592.728{{c}} | |||
[[Support]]ing [[ET]]s: {{EDs| c14, c5, c19, c33, c47, c9e, c61, c75, c23e, c24e, c52e, c80e, c89e, c37e |equave=5}} | |||
[[Support]]ing [[ET]]s: {{EDs|c14, c5, c19, c33, c47, c9e, c61, c75, c23e, c24e, c52e, c80e, c89e, c37e|equave=5}} | |||
== Juggernaut == | == Juggernaut == | ||
{{ | {{Main| Juggernaut }} | ||
[[Subgroup]]: 5.7.11 | [[Subgroup]]: 5.7.11 | ||
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{{Mapping|legend=2| 2 4 3 | 0 1 0 }} | {{Mapping|legend=2| 2 4 3 | 0 1 0 }} | ||
: mapping generators: ~11/5, ~7/25 | |||
[[Optimal tuning]] ([[CTE]]): ~11/5 = 1393.157{{c}}, ~[[7/5]] = 582.512{{c}} | |||
[[Support]]ing [[ET]]s: {{EDs| c14, c10, c6, c18, c24, c22, c32, c16, c38, c8d, c34, c26d, c46, c52e |equave=5}} | |||
[[Support]]ing [[ET]]s: {{EDs|c14, c10, c6, c18, c24, c22, c32, c16, c38, c8d, c34, c26d, c46, c52e|equave=5}} | |||
=== Tridecimal juggernaut === | === Tridecimal juggernaut === | ||
Subgroup: 5.7.11.13 | |||
Comma list: 125/121, 637/625 | |||
{{Mapping|legend=2| 2 4 3 0 | 0 1 0 -2 }} | {{Mapping|legend=2| 2 4 3 0 | 0 1 0 -2 }} | ||
[[Optimal tuning]] ([[CTE]]): ~11/5 = 1393.157{{c}}, ~[[7/5]] = 582.512{{c}} | |||
[[Optimal tuning]] ([[CTE]]): ~11/5 = | |||
[[Support]]ing [[ET]]s: {{EDs|c10, c14, c6, c24, c34, c16f, c44, c18f, c38, c26f, c54, c64|equave=5}} | [[Support]]ing [[ET]]s: {{EDs| c10, c14, c6, c24, c34, c16f, c44, c18f, c38, c26f, c54, c64 |equave=5}} | ||
= Graphs = | = Graphs = | ||
See: [[Catalog of 3.5.7 subgroup rank two temperaments#Graphs]] | See: [[Catalog of 3.5.7 subgroup rank two temperaments #Graphs]] | ||
== Projective tuning space diagrams == | == Projective tuning space diagrams == | ||
See: [[Catalog of 3.5.7 subgroup rank two temperaments#Projective tuning space diagrams]] | See: [[Catalog of 3.5.7 subgroup rank two temperaments #Projective tuning space diagrams]] | ||
[[Category:Temperament collections]] | [[Category:Temperament collections]] | ||
[[Category:Non-octave temperaments]] | [[Category:Non-octave temperaments]] | ||
[[Category:Catalogs of rank-2 temperaments]] | [[Category:Catalogs of rank-2 temperaments]] | ||