Semaphoresmic clan: Difference between revisions
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{{Mapping|legend=2| 1 0 2 | 0 2 1 }} | {{Mapping|legend=2| 1 0 2 | 0 2 1 }} | ||
{{Mapping|legend=3| 1 0 0 2 | 0 2 0 1 }} | {{Mapping|legend=3| 1 0 0 2 | 0 2 0 1 }} | ||
: | : mapping generators: ~2, ~7/4 | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
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* [[Keemun]] (+126/125) → [[Kleismic family #Keemun|Kleismic family]] | * [[Keemun]] (+126/125) → [[Kleismic family #Keemun|Kleismic family]] | ||
* ''[[Nautilus]]'' (+250/243) → [[Porcupine family #Nautilus|Porcupine family]] | * ''[[Nautilus]]'' (+250/243) → [[Porcupine family #Nautilus|Porcupine family]] | ||
* ''[[Hemidim]]'' (+648/625) → [[ | * ''[[Hemidim]]'' (+648/625) → [[Diminished family #Hemidim|Diminished family]] | ||
* [[Blackwood]] (+28/27) → [[Limmic temperaments #Blackwood|Limmic temperaments]] | * [[Blackwood]] (+28/27) → [[Limmic temperaments #Blackwood|Limmic temperaments]] | ||
* ''[[Spell]]'' (+3125/3072) → [[Hemimean clan #Spell|Hemimean clan]] | * ''[[Spell]]'' (+3125/3072) → [[Hemimean clan #Spell|Hemimean clan]] | ||
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Considered below are godzilla, helayo, superpelog, baba, negri, and nuke. | Considered below are godzilla, helayo, superpelog, baba, negri, and nuke. | ||
=== Semaerophore === | |||
Named by [[CompactStar]] in 2023, this extension tempers out [[729/704]]. It is the no-5 [[restriction]] of undecimal godzilla. | |||
Subgroup: 2.3.7.11 | |||
Comma list: 49/48, 729/704 | |||
Subgroup-val mapping: {{mapping| 1 0 2 -6 | 0 2 1 12 }} | |||
Optimal tunings: | |||
* WE: ~2 = 1204.9027{{c}}, ~7/4 = 948.7772{{c}} | |||
* CWE: ~2 = 1200.0000{{c}}, ~7/4 = 945.4959{{c}} | |||
{{Optimal ET sequence|legend=0| 14, 33d, 47de }} | |||
Badness (Sintel): 1.27 | |||
==== 2.3.7.11.19 subgroup ==== | |||
Subgroup: 2.3.7.11.19 | |||
Comma list: 49/48, 77/76, 729/704 | |||
Subgroup-val mapping: {{mapping| 1 0 2 -6 -6 | 0 2 1 12 13 }} | |||
Optimal tunings: | |||
* WE: ~2 = 1204.9645{{c}}, ~7/4 = 948.5749{{c}} | |||
* CWE: ~2 = 1200.0000{{c}}, ~7/4 = 945.2236{{c}} | |||
{{Optimal ET sequence|legend=0| 14, 33d, 47deh }} | |||
Badness (Sintel): 1.08 | |||
== Godzilla == | == Godzilla == | ||
{{Main| Semaphore and godzilla }} | {{Main| Semaphore and godzilla }} | ||
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==== 2.3.5.7.13 subgroup ==== | ==== 2.3.5.7.13 subgroup ==== | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7.13 | ||
Comma list: 49/48, 81/80, 91/90 | Comma list: 49/48, 81/80, 91/90 | ||
Subgroup-val mapping: {{mapping| 1 0 -4 2 -5 | 0 2 8 1 11 }} | |||
Optimal tunings: | Optimal tunings: | ||
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== Helayo == | == Helayo == | ||
: ''For the 5-limit version of this temperament see [[ | : ''For the 5-limit version of this temperament see [[Syntonic–kleismic equivalence continuum #Hogzilla]].'' | ||
Helayo tempers out 3645/3584 and may be thought of as the opposite of godzilla with respect to 19edo. Like godzilla, 19edo's generator is close to the optimum. | Helayo tempers out 3645/3584 and may be thought of as the opposite of godzilla with respect to 19edo. Like godzilla, 19edo's generator is close to the optimum. | ||
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[[Badness]] (Sintel): 2.00 | [[Badness]] (Sintel): 2.00 | ||
Scales: [[Helayo14]], [[Helayo19]], [[Helayo24]] | |||
; Music | ; Music | ||
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Comma list: 49/48, 65/64, 91/90 | Comma list: 49/48, 65/64, 91/90 | ||
Subgroup-val mapping: {{mapping| 1 2 2 3 4 | 0 -4 3 -2 -3 }} | |||
Gencom mapping: {{mapping| 1 2 2 3 0 4 | 0 -4 3 -2 0 -3 }} | Gencom mapping: {{mapping| 1 2 2 3 0 4 | 0 -4 3 -2 0 -3 }} | ||
Optimal tunings: | Optimal tunings: | ||
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[[Category:Temperament clans]] | [[Category:Temperament clans]] | ||
[[Category:Semaphoresmic clan| ]] <!-- main article --> | [[Category:Semaphoresmic clan| ]] <!-- main article --> | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||