Trisedodge family: Difference between revisions

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The '''trisedodge family''' tempers out the trisedodge comma, 30958682112/30517578125 = {{monzo| 19 10 -15 }}.
The '''trisedodge family''' tempers out the trisedodge comma, 30958682112/30517578125 = {{monzo| 19 10 -15 }}.


== Trisedodge  ==
Temperaments discussed elsewhere include [[Trienstonic clan #Quindecic|quindecic]].


== Trisedodge ==
Subgroup: 2.3.5
Subgroup: 2.3.5


Comma list: 30958682112/30517578125
[[Comma list]]: 30958682112/30517578125


Mapping: [{{val| 5 7 11 }}, {{val| 0 3 2 }}]
[[Mapping]]: [{{val| 5 7 11 }}, {{val| 0 3 2 }}]


POTE generator: ~25/24 = 74.0077
[[POTE generator]]: ~25/24 = 74.0077


{{Val list|legend=1| 15, 50, 65, 340c, 405c, 470c, 535c, 600c }}
{{Val list|legend=1| 15, 50, 65, 340c, 405c, 470c, 535c, 600c }}


== 7-limit  ==
[[Badness]]: 0.252724


=== 7-limit ===
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 25: Line 27:
{{Val list|legend=1| 15, 50d, 65d, 80 }}
{{Val list|legend=1| 15, 50d, 65d, 80 }}


=== 11-limit  ===
[[Badness]]: 0.137695


=== 11-limit ===
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 35: Line 38:
POTE generator: ~25/24 = 74.9401
POTE generator: ~25/24 = 74.9401


{{Val list|legend=1| 15, 50d, 65d, 80 }}
Vals: {{Val list| 15, 50d, 65d, 80 }}
 
Badness: 0.043508


== Coblack ==
== Coblack ==
{{see also| Cloudy clan #Coblack }}
{{see also| Cloudy clan #Coblack }}


Line 52: Line 57:
{{Val list|legend=1| 15, 35, 50, 65, 115d }}
{{Val list|legend=1| 15, 35, 50, 65, 115d }}


[[Badness]]: 0.1073
[[Badness]]: 0.107282
 
=== 11-limit  ===


=== 11-limit ===
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 64: Line 68:
POTE generator: ~21/20 = 73.264
POTE generator: ~21/20 = 73.264


{{Val list|legend=1| 15, 35, 50, 65, 115d }}
Vals: {{Val list| 15, 35, 50, 65, 115d }}
 
== Quindecic  ==
 
Subgroup: 2.3.5.7.11.13
 
Comma list: 28/27, 49/48, 55/54, 77/75
 
Mapping: [{{val| 15 24 35 42 52 0 }}, {{val| 0 0 0 0 0 1 }}]
 
POTE generator: ~66/65 = 27.0764


{{Val list|legend=1| 15, 30 }}
Badness: 0.045070


[[Category:Regular temperament theory]]
[[Category:Regular temperament theory]]