1001edo: Difference between revisions
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{{EDO intro|1001}} | {{EDO intro|1001}} | ||
The best prime subgroup for 1001edo is 2.7.11.13.19.23. In such a subgroup, it tempers out 14651/14641, 157757/157696, and 184877/184832. Taking the full 23-limit enables to determine that 1001edo tempers out 1288/1287, 2300/2299, 2737/2736, 2926/2925, and 5776/5775. Using the 1001b val, that is putting the 3/2 fifth on the 585th step instead of the 586th, 1001edo tempers out 936/935, 1197/1196, and 1521/1520, as well as the [[parakleisma]]. | The best prime [[subgroup]] for 1001edo is 2.7.11.13.19.23. In such a subgroup, it tempers out 14651/14641, 157757/157696, and 184877/184832. Taking the full 23-limit enables to determine that 1001edo tempers out 1288/1287, 2300/2299, 2737/2736, 2926/2925, and 5776/5775. Using the 1001b val, that is putting the 3/2 fifth on the 585th step instead of the 586th, 1001edo tempers out 936/935, 1197/1196, and 1521/1520, as well as the [[parakleisma]]. | ||
=== Odd harmonics === | === Odd harmonics === | ||
{{ | {{Harmonics in equal|1001}} | ||
=== Subsets and supersets === | === Subsets and supersets === | ||
1001 factorizes as 7 | 1001 factorizes as 7 × 11 × 13, and has subset edos {{EDOs| 7, 11, 13, 77, 91, and 143 }}. | ||