24576/24565: Difference between revisions
m →2.3.5.7.17 subgroup (prime archagall): style and generator |
→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 | ||
{{mapping|legend=1| 1 5 6 | 0 3 1 }} | |||
[[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 | ||
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 | ||
{{mapping|legend=1| 1 1 2 4 | 0 1 1 0 | 0 0 -3 1 }} | |||
[[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 }} | ||