15edf

Prime factorization

3 × 5

Step size

46.797¢

Octave

26\15edf (1216.72¢)

Twelfth

41\15edf (1918.68¢)

Consistency limit

2

Distinct consistency limit

2

15EDF is the equal division of the just perfect fifth into 15 parts of 46.797 cents each, corresponding to 25.6427 edo (similar to every third step of 77edo). The 3edf~5edo correspondence has completely collapsed by this point, with this EDF being closer to 26edo than 25edo.

Lookalikes: 26edo, 41edt

Harmonics

Approximation of harmonics in 15edf
Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+16.7	+16.7	-13.4	+21.5	-13.4	+0.6	+3.4	-13.4	-8.6	+13.6	+3.4
Error	Relative (%)	+35.7	+35.7	-28.5	+46.0	-28.5	+1.2	+7.2	-28.5	-18.3	+29.1	+7.2
Steps (reduced)		26 (11)	41 (11)	51 (6)	60 (0)	66 (6)	72 (12)	77 (2)	81 (6)	85 (10)	89 (14)	92 (2)

Approximation of harmonics in 15edf
Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+5.2	+17.3	-8.6	+20.1	+8.7	+3.4	+3.4	+8.2	+17.3	-16.5	+0.2
Error	Relative (%)	+11.1	+36.9	-18.3	+42.9	+18.7	+7.2	+7.2	+17.4	+36.9	-35.2	+0.4
Steps (reduced)		95 (5)	98 (8)	100 (10)	103 (13)	105 (0)	107 (2)	109 (4)	111 (6)	113 (8)	114 (9)	116 (11)

Intervals of 15edf
degree	cents value	corresponding JI intervals	comments
0		exact 1/1
1	46.797
2	93.594	19/18
3	140.391	13/12
4	187.188	10/9
5	233.985	8/7
6	280.782	20/17
7	327.579
8	374.376
9	421.173	51/40
10	467.97	21/16
11	514.767	27/20
12	561.564	18/13
13	608.361	27/19
14	655.158
15	701.955	exact 3/2	just perfect fifth
16	748.752
17	795.549	19/12
18	842.346	13/8
19	889.143	5/3
20	935.94	12/7
21	982.737	30/17
22	1029.534
23	1076.331
24	1123.128	153/80
25	1168.925	63/32
26	1216.722	81/40
27	1263.519	27/13
28	1310.316	81/38
29	1357.113
30	1403.91	exact 9/4

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