41ed6

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41ed6

42ed6 →

Prime factorization	41 (prime)
Step size	75.6574¢
Octave	16\41ed6 (1210.52¢)
Twelfth	25\41ed6 (1891.44¢)
Consistency limit	5
Distinct consistency limit	5

41ED6 is the equal division of the sixth harmonic into 41 equal parts. It is similar to 16edo, but has the 6/1 tuned just instead of the octave. Octaves are stretched by 10.5 ¢ and the step size is 75.66 ¢. It can be used as a tuning for Mavila and also approximates Pelog tunings in Indonesian gamelan music.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	75.657	22/21, 23/22, 24/23, 25/24
2	151.315	12/11, 23/21, 25/23
3	226.972	8/7, 25/22
4	302.63	25/21
5	378.287
6	453.945	13/10, 30/23
7	529.602	23/17
8	605.26	17/12, 27/19
9	680.917
10	756.574	17/11
11	832.232	21/13, 29/18
12	907.889	22/13
13	983.547	23/13, 30/17
14	1059.204	24/13
15	1134.862	25/13, 29/15
16	1210.519
17	1286.176	21/10
18	1361.834	11/5
19	1437.491	16/7, 23/10
20	1513.149	12/5
21	1588.806	5/2
22	1664.464	21/8
23	1740.121	30/11
24	1815.779	20/7
25	1891.436
26	1967.093	25/8
27	2042.751	13/4
28	2118.408	17/5
29	2194.066
30	2269.723	26/7
31	2345.381
32	2421.038
33	2496.695
34	2572.353
35	2648.01	23/5
36	2723.668	29/6
37	2799.325
38	2874.983	21/4
39	2950.64	11/2
40	3026.298	23/4
41	3101.955	6/1

Harmonics

Approximation of harmonics in 41ed6

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+10.5	-10.5	+21.0	+13.0	+0.0	+35.8	+31.6	-21.0	+23.5	+9.8	+10.5
	Relative (%)	+13.9	-13.9	+27.8	+17.2	+0.0	+47.3	+41.7	-27.8	+31.1	+13.0	+13.9
Steps (reduced)		16 (16)	25 (25)	32 (32)	37 (37)	41 (0)	45 (4)	48 (7)	50 (9)	53 (12)	55 (14)	57 (16)

Approximation of harmonics in 41ed6

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+23.3	-29.4	+2.5	-33.6	+12.8	-10.5	-28.5	+34.0	+25.2	+20.4	+19.1
	Relative (%)	+30.7	-38.8	+3.3	-44.4	+16.9	-13.9	-37.6	+45.0	+33.4	+26.9	+25.2
Steps (reduced)		59 (18)	60 (19)	62 (21)	63 (22)	65 (24)	66 (25)	67 (26)	69 (28)	70 (29)	71 (30)	72 (31)