Xenharmonic Wiki

Syntonic–kleismic equivalence continuum: Difference between revisions

← Older editNewer edit →
VisualWikitext
m FloraC moved page Syntonic-enneadecal equivalence continuum to Syntonic-kleismic equivalence continuum: Adopt a more reasonable name
m Cleanup
Line 91: Line 91:


== Lalayo ==
== Lalayo ==
[[Comma list]]: {{Monzo|-26 15 1}} = 71744535/67108864
[[Subgroup]]: 2.3.5
 
[[Comma list]]: {{monzo| -26 15 1 }} = 71744535/67108864


[[Mapping]]: [{{val| 1 2 -4 }}, {{val| 0 -1 15 }}]
[[Mapping]]: [{{val| 1 2 -4 }}, {{val| 0 -1 15 }}]
Line 102: Line 104:


== Lalasepyo (8c & 19) ==
== Lalasepyo (8c & 19) ==
[[Comma list]]: {{Monzo|-32 10 7}} = 4613203125/4294967296
[[Subgroup]]: 2.3.5
 
[[Comma list]]: {{monzo| -32 10 7 }} = 4613203125/4294967296


[[Mapping]]: [{{val| 1 -1 6 }}, {{val| 0 7 -10 }}]
[[Mapping]]: [{{val| 1 -1 6 }}, {{val| 0 7 -10 }}]
Line 115: Line 119:


== Counterhanson ==
== Counterhanson ==
{{See also|Ragismic microtemperaments #Counterkleismic}}
{{See also| Ragismic microtemperaments #Counterkleismic }}
 
[[Subgroup]]: 2.3.5


[[Comma list]]: {{Monzo|-20 -24 25}} = 298023223876953125/296148833645101056
[[Comma list]]: {{monzo| -20 -24 25 }} = 298023223876953125/296148833645101056


[[Mapping]]: [{{val|1 -5 -4}}, {{val|0 25 24}}]
[[Mapping]]: [{{val| 1 -5 -4 }}, {{val| 0 25 2 4}}]


[[POTE generator]]: ~6/5 = 316.081 cents
[[Optimal tuning]] ([[POTE]]): ~6/5 = 316.081


{{Val list|legend=1| 19, 148, 167, 186, 205, 224, 429, 653, 1082, 1735c }}
{{Val list|legend=1| 19, 148, 167, 186, 205, 224, 429, 653, 1082, 1735c }}
Line 128: Line 134:


== 19 & 506 ==
== 19 & 506 ==
[[Comma list]]: {{Monzo| 38 61 -58 }}
[[Subgroup]]: 2.3.5
 
[[Comma list]]: {{monzo| 38 61 -58 }}


[[Mapping]]: [{{val| 1 26 28 }}, {{val| 0 -58 -61 }}]
[[Mapping]]: [{{val| 1 26 28 }}, {{val| 0 -58 -61 }}]


[[POTE generator]]: ~{{monzo|-12 -20 19}} = 505.1394 cents
[[Optimal tuning]] ([[POTE]]): ~{{monzo| -12 -20 19 }} = 505.1394


{{Val list|legend=1| 19, 468, 487, 506, 1031 }}
{{Val list|legend=1| 19, 468, 487, 506, 1031 }}
Line 141: Line 149:


== Countermeantone ==
== Countermeantone ==
[[Comma list]]: {{Monzo|10 23 -20}} = 96402615118848/95367431640625
[[Subgroup]]: 2.3.5


[[Mapping]]: [{{val|1 10 12}}, {{val|0 -20 -23}}]
[[Comma list]]: {{monzo| 10 23 -20 }} = 96402615118848/95367431640625


[[POTE generator]]: ~104976/78125 = 504.913 cents
[[Mapping]]: [{{val| 1 10 12 }}, {{val| 0 -20 -23 }}]
 
[[Optimal tuning]] ([[POTE]]): ~104976/78125 = 504.913


{{Val list|legend=1| 19, 126, 145, 164, 183, 713, 896c, 1079c, 1262c }}
{{Val list|legend=1| 19, 126, 145, 164, 183, 713, 896c, 1079c, 1262c }}
Line 152: Line 162:


== Mowgli ==
== Mowgli ==
[[Comma list]]: {{Monzo|0 22 -15}}
[[Subgroup]]: 2.3.5
 
[[Comma list]]: {{monzo| 0 22 -15 }}


[[Mapping]]: [{{val| 1 0 0 }}, {{val| 0 15 22 }}]
[[Mapping]]: [{{val| 1 0 0 }}, {{val| 0 15 22 }}]


[[POTE generator]]: ~27/25 = 126.7237 cents
[[Optimal tuning]] ([[POTE]]): ~27/25 = 126.7237


{{Val list|legend=1| 19, 85c, 104c, 123, 142, 161 }}
{{Val list|legend=1| 19, 85c, 104c, 123, 142, 161 }}
Retrieved from "https://en.xen.wiki/w/Syntonic–kleismic_equivalence_continuum"