37ed8

← 36ed8

37ed8

38ed8 →

Prime factorization	37 (prime)
Step size	97.2973¢
Octave	12\37ed8 (1167.57¢)
Twelfth	20\37ed8 (1945.95¢)
Consistency limit	1
Distinct consistency limit	1

37ed8 is an equal tuning that divides the 8/1 ratio (triple-octave, octuple, twenty-second) into 37 equal steps of approximately 97.297 cents. It stands out as an 8.9.10.14.22.26.17/2.19/2 subgroup tuning. This is an another approach for 97.5cET.

Intervals

Intervals of 37ed8

Steps	Cents	Ratio approximated
1	97.297	17/16, 18/17, 19/18, 20/19, 52/49, 55/52
2	194.595	9/8, 10/9, 19/17, 28/25, 49/44, 55/49
3	291.892	13/11, 19/16, 20/17, 45/38, 85/72, 77/65
4	389.189	5/4
5	486.486	25/19, 45/34
6	583.784	7/5, 25/18, 45/32
7	681.081	28/19, 25/17
8	778.378	11/7, 14/9, 25/16
9	875.676	28/17
10	972.973	7/4, 44/25
11	1070.270	13/7, 35/19
12	1167.568	49/25, 35/18, 55/28
13	1264.865	35/17, 52/25
14	1362.162	11/5, 35/16
15	1459.459	44/19, 65/28
16	1556.757	22/9, 49/20, 32/13
17	1654.054	44/17, 49/19, 13/5, 34/13
18	1751.351	11/4, 36/13, 49/18, 52/19
19	1848.649	26/9, 32/11, 38/13, 49/17, 55/19
20	1945.946	34/11, 40/13, 49/16, 52/17, 55/18, 77/25
21	2043.243	13/4, 36/11, 55/17
22	2140.541	38/11, 55/16, 65/19
23	2237.838	40/11, 65/18, 91/25
24	2335.135	65/17, 77/20, 50/13
25	2432.432	65/16, 77/19
26	2529.730	56/13, 77/18
27	2627.027	32/7, 77/17, 50/11, 91/20
28	2724.324	34/7, 77/16, 91/19
29	2821.622	36/7, 56/11, 91/18
30	2918.919	38/7, 91/17
31	3016.216	40/7, 91/16
32	3113.514	85/14
33	3210.811	32/5, 45/7
34	3308.108	34/5, 88/13
35	3405.405	36/5, 64/9, 50/7
36	3502.703	38/5, 68/9
37	3600.000	8/1

Harmonics

Approximation of harmonics in 37ed8

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-32.4	+44.0	+32.4	+35.3	+11.6	+36.6	+0.0	-9.3	+2.9	+32.5	-20.9
	Relative (%)	-33.3	+45.2	+33.3	+36.3	+11.9	+37.6	+0.0	-9.6	+3.0	+33.4	-21.5
Steps (reduced)		12 (12)	20 (20)	25 (25)	29 (29)	32 (32)	35 (35)	37 (0)	39 (2)	41 (4)	43 (6)	44 (7)

Approximation of harmonics in 37ed8

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+35.1	+4.1	-18.0	-32.4	-40.1	-41.7	-38.1	-29.6	-16.7	+0.0	+20.4
	Relative (%)	+36.1	+4.3	-18.5	-33.3	-41.2	-42.9	-39.1	-30.4	-17.2	+0.0	+20.9
Steps (reduced)		46 (9)	47 (10)	48 (11)	49 (12)	50 (13)	51 (14)	52 (15)	53 (16)	54 (17)	55 (18)	56 (19)

This page is a stub. You can help the Xenharmonic Wiki by expanding it.