Semaphoresmic clan: Difference between revisions
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Document semaphore as a 2.3.5.7.13-subgroup temp |
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{{Main| Semaphore and godzilla }} | {{Main| Semaphore and godzilla }} | ||
Godzilla tempers out [[81/80]], equating [[9/8]] and [[10/9]], so it finds the prime 5 at a stack of four fifths, as does any temperament in the [[meantone family]]. [[19edo]] is close to being the optimal generator tuning; hence it can be more or less equated with taking 4\19 as a generator. [[Mos scale]]s are of 5, 9, or 14 notes. | Godzilla tempers out [[81/80]], equating [[9/8]] and [[10/9]], so it finds the prime 5 at a stack of four fifths, as does any temperament in the [[meantone family]]. Like many entries of this clan, godzilla can be extended naturally to the 2.3.5.7.13 subgroup by identifying the hemifourth as ~15/13, tempering out [[91/90]]. [[19edo]] is close to being the optimal generator tuning; hence it can be more or less equated with taking 4\19 as a generator. [[Mos scale]]s are of 5, 9, or 14 notes. | ||
=== 7-limit === | |||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
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[[Badness]] (Sintel): 0.677 | [[Badness]] (Sintel): 0.677 | ||
=== 11- | ==== 2.3.5.7.13 subgroup ==== | ||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 49/48, 81/80, 91/90 | |||
Sval mapping: {{mapping| 1 0 -4 2 -5 | 0 2 8 1 11 }} | |||
Optimal tunings: | |||
* WE: ~2 = 1203.7816{{c}}, ~7/4 = 950.5570{{c}} | |||
* CWE: ~2 = 1200.0000{{c}}, ~7/4 = 948.0037{{c}} | |||
{{Optimal ET sequence|legend=0| 5, 14cf, 19 }} | |||
Badness (Sintel): 0.591 | |||
=== Undecimal godzilla === | |||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
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Badness (Sintel): 0.943 | Badness (Sintel): 0.943 | ||
==== 13-limit ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 33/32, 49/48, 55/54, 91/90 | |||
Mapping: {{mapping| 1 0 -4 2 5 -5 | 0 2 8 1 -2 11 }} | |||
Optimal tunings: | |||
* WE: ~2 = 1206.9737{{c}}, ~7/4 = 951.7738{{c}} | |||
* CWE: ~2 = 1200.0000{{c}}, ~7/4 = 946.7732{{c}} | |||
{{Optimal ET sequence|legend=0| 14cf, 19e, 33cdeeff, 52cdeeeff }} | |||
Badness (Sintel): 0.975 | |||
=== Varan === | === Varan === | ||
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* CWE: ~2 = 1200.0000{{c}}, ~7/4 = 948.8625{{c}} | * CWE: ~2 = 1200.0000{{c}}, ~7/4 = 948.8625{{c}} | ||
{{Optimal ET sequence|legend=0| | {{Optimal ET sequence|legend=0| 19, 24 }} | ||
Badness (Sintel): 1.18 | Badness (Sintel): 1.18 | ||
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* CWE: ~2 = 1200.0000{{c}}, ~7/4 = 948.8468{{c}} | * CWE: ~2 = 1200.0000{{c}}, ~7/4 = 948.8468{{c}} | ||
{{Optimal ET sequence|legend=0| | {{Optimal ET sequence|legend=0| 19, 24 }} | ||
Badness (Sintel): 1.10 | Badness (Sintel): 1.10 | ||
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Badness (Sintel): 0.463 | Badness (Sintel): 0.463 | ||
=== | === Undecimal negri === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||