1001edo

← 1000edo

1001edo

1002edo →

Prime factorization	7 × 11 × 13
Step size	1.1988 ¢
Fifth	586\1001 (702.498 ¢)
Semitones (A1:m2)	98:73 (117.5 ¢ : 87.51 ¢)
Dual sharp fifth	586\1001 (702.498 ¢)
Dual flat fifth	585\1001 (701.299 ¢) (→ 45\77)
Dual major 2nd	170\1001 (203.796 ¢)
Consistency limit	3
Distinct consistency limit	3

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

Approximation of odd harmonics in 1001edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+0.543	-0.300	-0.195	-0.114	+0.131	-0.168	+0.243	+0.539	-0.210	+0.348	-0.103
	Relative (%)	+45.3	-25.0	-16.2	-9.5	+10.9	-14.0	+20.3	+45.0	-17.5	+29.0	-8.6
Steps (reduced)		1587 (586)	2324 (322)	2810 (808)	3173 (170)	3463 (460)	3704 (701)	3911 (908)	4092 (88)	4252 (248)	4397 (393)	4528 (524)

Subsets and supersets

1001 factorizes as 7 × 11 × 13, and has subset edos 7, 11, 13, 77, 91, and 143.