49ed7

Prime factorization

7²

Step size

68.7515¢

Octave

17\49ed7 (1168.78¢)

Twelfth

28\49ed7 (1925.04¢) (→4\7ed7)

Consistency limit

2

Distinct consistency limit

2

49ED7 is the equal division of the 7th harmonic into 49 parts of 68.7515 cents each. It is similar to every second step of 35edo.

Intervals

Intervals of 49ed7
degree	cents value	corresponding JI intervals	comments
0	0.00000	exact 1/1
1	68.75155	26/25, 25/24
2	137.50310	13/12
3	206.25465	9/8
4	275.00620	27/23
5	343.75775	39/32
6	412.50929	33/26
7	481.26084	33/25, 119/90
8	550.01239	11/8
9	618.76394	10/7, 63/44
10	687.51549	49/33
11	756.26704	161/104
12	825.01859	161/100
13	893.77014	77/46, 161/96
14	962.52169	68/39
15	1031.27324	49/27
16	1100.02479	17/9
17	1168.77633	100/51, 51/26, 108/55, 55/28, 112/57
18	1237.52788	100/49, 49/24, 45/22
19	1306.27943	17/8
20	1375.03098	133/60
21	1443.78253	23/10
22	1512.53408	12/5
23	1581.28563
24	1650.03718	70/27
25	1718.78873	27/10
26	1787.54028	160/57
27	1856.29183	35/12
28	1925.04338	70/23
29	1993.79492	60/19
30	2062.54647	23/7
31	2131.29802	24/7
32	2200.04957	57/16
33	2268.80112	63/17
34	2337.55267	27/7
35	2406.30422	273/68
36	2475.05577	96/23, 46/11
37	2543.80732	100/23
38	2612.55887	104/23
39	2681.31042	33/7
40	2750.06196	44/9, 49/10
41	2818.81351	56/11
42	2887.56506	90/17, 175/33
43	2956.31661
44	3025.06816
45	3093.81971	161/27
46	3162.57126	56/9
47	3231.32281	84/13
48	3300.07436	168/25, 175/26
49	3368.82591	exact 7/1	harmonic seventh plus two octaves

Approximation of harmonics in 49ed7
Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-31.2	+23.1	+6.3	+32.5	-8.1	+0.0	-24.9	-22.6	+1.3	-26.2	+29.4
Error	Relative (%)	-45.4	+33.6	+9.2	+47.3	-11.8	+0.0	-36.2	-32.8	+1.9	-38.1	+42.8
Steps (reduced)		17 (17)	28 (28)	35 (35)	41 (41)	45 (45)	49 (0)	52 (3)	55 (6)	58 (9)	60 (11)	63 (14)

Approximation of harmonics in 49ed7
Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+28.3	-31.2	-13.2	+12.6	-23.6	+15.0	-9.9	-29.9	+23.1	+11.3	+3.1
Error	Relative (%)	+41.2	-45.4	-19.1	+18.3	-34.3	+21.7	-14.4	-43.6	+33.6	+16.4	+4.5
Steps (reduced)		65 (16)	66 (17)	68 (19)	70 (21)	71 (22)	73 (24)	74 (25)	75 (26)	77 (28)	78 (29)	79 (30)