1001edo: Difference between revisions
Created page with "1001edo divides the octave into parts of 1.(19880) cents each. == Theory == 1001 factorizes as 7 x 11 x 13, and therefore by extension it contains all these smaller EDOs. It'..." |
No edit summary |
||
| Line 2: | Line 2: | ||
== Theory == | == Theory == | ||
{{primes in edo|1001|columns=15}} | |||
1001 factorizes as 7 x 11 x 13, and therefore by extension it contains all these smaller EDOs. It's composite divisors are 77, 91, and 143. | 1001 factorizes as 7 x 11 x 13, and therefore by extension it contains all these smaller EDOs. It's composite divisors are 77, 91, and 143. | ||
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. | |||