6ed6

← 5ed6

6ed6

7ed6 →

Prime factorization	2 × 3
Step size	516.993 ¢
Octave	2\6ed6 (1033.99 ¢) (→ 1\3ed6)
Twelfth	4\6ed6 (2067.97 ¢) (→ 2\3ed6)
Consistency limit	2
Distinct consistency limit	2
Special properties	Highly composite

6ED6 is the equal division of the sixth harmonic into six parts of 516.9925 cents each, corresponding to 2.3211 edo. It is related to the harry temperament, which tempers out 243/242, 441/440, and 4000/3993 in the 11-limit.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	517	15/11, 18/13, 19/14
2	1034	11/6, 13/7
3	1551	5/2, 12/5
4	2068	17/5
5	2585	13/3
6	3102	6/1

Harmonics

Approximation of harmonics in 6ed6

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-166	+166	+185	-201	+0	+250	+19	-185	+150	-15	-166
	Relative (%)	-32.1	+32.1	+35.8	-38.9	+0.0	+48.4	+3.7	-35.8	+28.9	-3.0	-32.1
Steps (reduced)		2 (2)	4 (4)	5 (5)	5 (5)	6 (0)	7 (1)	7 (1)	7 (1)	8 (2)	8 (2)	8 (2)

Approximation of harmonics in 6ed6

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+212	+84	-35	-147	-252	+166	+72	-16	-101	-181	-258
	Relative (%)	+41.1	+16.3	-6.8	-28.4	-48.7	+32.1	+14.0	-3.2	-19.5	-35.1	-50.0
Steps (reduced)		9 (3)	9 (3)	9 (3)	9 (3)	9 (3)	10 (4)	10 (4)	10 (4)	10 (4)	10 (4)	10 (4)