14ed12

← 13ed12

14ed12

15ed12 →

Prime factorization	2 × 7
Step size	307.283 ¢
Octave	4\14ed12 (1229.13 ¢) (→ 2\7ed12)
Twelfth	6\14ed12 (1843.7 ¢) (→ 3\7ed12)
Consistency limit	8
Distinct consistency limit	3

14 equal divisions of the 12th harmonic (abbreviated 14ed12) is a nonoctave tuning system that divides the interval of 12/1 into 14 equal parts of about 307 ¢ each. Each step represents a frequency ratio of 12^1/14, or the 14th root of 12.

Interval table

Steps	Cents	Approximate ratios
0	0	1/1
1	307.3	6/5, 19/16, 23/19
2	614.6	10/7, 13/9, 17/12, 23/16
3	921.8	12/7, 17/10
4	1229.1
5	1536.4	12/5, 17/7
6	1843.7	23/8
7	2151	7/2
8	2458.3
9	2765.5	5/1
10	3072.8
11	3380.1	7/1
12	3687.4	17/2
13	3994.7	10/1
14	4302	12/1

Harmonics

Approximation of harmonics in 14ed12

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+29	-58	+58	-21	-29	+11	+87	-117	+8	+151	+0
	Relative (%)	+9.5	-19.0	+19.0	-6.8	-9.5	+3.7	+28.4	-37.9	+2.7	+49.0	+0.0
Steps (reduced)		4 (4)	6 (6)	8 (8)	9 (9)	10 (10)	11 (11)	12 (12)	12 (12)	13 (13)	14 (0)	14 (0)