11ed6

← 10ed6

11ed6

12ed6 →

Prime factorization	11 (prime)
Step size	281.996¢
Octave	4\11ed6 (1127.98¢)
Twelfth	7\11ed6 (1973.97¢)
Consistency limit	2
Distinct consistency limit	2

11ED6 is the equal division of the sixth harmonic into six parts of 281.9959 cents each, corresponding to 4.2554 edo. It is related to the temperaments which temper out 28561/28512 and 85293/85184 in the 13-limit, which is supported by 17, 34, 149, 166, 183, 200, 217, and 234 EDOs.

Related temperament

2.3.11 subgroup 17&183

Comma: |-19 36 0 0 -11>

POTE generator: ~|7 -13 0 0 4> = 281.9832

Mapping: [<1 -1 -5|, <0 11 36|]

EDOs: 17, 34, 166, 183, 200, 217, 366, 383, 400, 566

2.3.11.13 subgroup 17&183

Commas: 28561/28512, 85293/85184

POTE generator: ~286/243 = 281.9821

Mapping: [<1 -1 -5 -1|, <0 11 36 20|]

EDOs: 17, 34, 149, 166, 183, 200, 217, 234, 366

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	281.996	7/6, 13/11, 20/17, 22/19
2	563.992	7/5, 15/11, 18/13
3	845.988	18/11, 21/13
4	1127.984	19/10, 21/11
5	1409.98
6	1691.975
7	1973.971	19/6, 22/7
8	2255.967	11/3
9	2537.963	13/3, 22/5
10	2819.959
11	3101.955	6/1

Harmonics

Approximation of harmonics in 11ed6

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-72	+72	+138	+34	+0	+15	+66	-138	-38	+79	-72
	Relative (%)	-25.5	+25.5	+48.9	+11.9	+0.0	+5.4	+23.4	-48.9	-13.6	+27.9	-25.5
Steps (reduced)		4 (4)	7 (7)	9 (9)	10 (10)	11 (0)	12 (1)	13 (2)	13 (2)	14 (3)	15 (4)	15 (4)

Approximation of harmonics in 11ed6

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+71	-57	+106	-6	-111	+72	-22	-110	+87	+7	-70
	Relative (%)	+25.3	-20.2	+37.5	-2.2	-39.4	+25.5	-7.7	-39.1	+30.9	+2.3	-24.9
Steps (reduced)		16 (5)	16 (5)	17 (6)	17 (6)	17 (6)	18 (7)	18 (7)	18 (7)	19 (8)	19 (8)	19 (8)