24576/24565: Difference between revisions

Godtone (talk | contribs)
Godtone (talk | contribs)
Temperaments: added mappings and cleaned up format
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Comma list: {{monzo| 13 1 -3 }} = 24576/24565
Comma list: {{monzo| 13 1 -3 }} = 24576/24565


Sval mapping: [{{val| 1 2 5 }}], {{val| 0 3 1 }}]
{{mapping|legend=1| 1 5 6 | 0 3 1 }}


Sval mapping generators: ~2, ~85/32
[[CTE]] generator: 85/64 = 491.541{{cent}}


{{Optimal ET sequence|legend=1| 5, 17, 22, 61, 83 }}
{{Optimal ET sequence|legend=1| 5, 17, 22, 61, 83 }}
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Subgroup: 2.75.85.9/7
Subgroup: 2.75.85.9/7
Sval mapping: [{{val| 1 2 5 6 }}, {{val| 0 -4 3 1 }}]


Comma list: {{monzo| 13 1 -3 0 }} = 24576/24565, {{monzo| 2 -2 0 1 }} = 2025/2023  
Comma list: {{monzo| 13 1 -3 0 }} = 24576/24565, {{monzo| 2 -2 0 1 }} = 2025/2023  


Some good (relative to their size) EDOs supporting it: 5, 12, 17, 22, 27, 39, 49, 61, 71, 83, 105, 127, 149, 159, 171
Some good (relative to their size) EDOs supporting it: 5, 12, 17, 22, 27, 39, 49, 61, 71, 83, 105, 127, 149, 159, 171
{{mapping|legend=1| 1 5 6 2 | 0 3 1 -4 }}
[[CTE]] generator: 85/64 = 491.338


It should be noted that just because these are good for the generators given that does not mean that they are good for the broader 2.3.5.7.17 subgroup, so one may need to take supersets in that case, in which case again it is preferred to look at the next extension.
It should be noted that just because these are good for the generators given that does not mean that they are good for the broader 2.3.5.7.17 subgroup, so one may need to take supersets in that case, in which case again it is preferred to look at the next extension.
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Subgroup: 2.3.5.17
Subgroup: 2.3.5.17


Sval mapping: [{{val| 1 0 1 0 0 0 4 }}, {{val| 0 1 1 0 0 0 0 }}, {{val| 0 0 -3 0 0 0 1 }}]
{{mapping|legend=1| 1 1 2 4 | 0 1 1 0 | 0 0 -3 1 }}


Sval mapping generators: ~2, ~3, ~17/16
[[CTE]] generators: (2/1,) 3/2 = 701.943, 17/16 = 105.201


{{Optimal ET sequence|legend=1| 10, 12, 22, 34, 80, 103, 115, 125, 137, 159, 171, 354, 376, 388, 559, 1882, 2441g, 3000g, 6559gg, 9559cggg }}
{{Optimal ET sequence|legend=1| 10, 12, 22, 34, 80, 103, 115, 125, 137, 159, 171, 354, 376, 388, 559, 1882, 2441g, 3000g, 6559gg, 9559cggg }}