84ed5

Division of the 5th harmonic into 84 equal parts (84ed5) is related to 36edo but the 5/1 rather than the 2/1 being just. The octave is compressed (about 5.8656 cents) and the step size is about 33.1704 cents.

← 83ed5

84ed5

85ed5 →

Prime factorization	22 × 3 × 7
Step size	33.1704¢
Octave	36\84ed5 (1194.13¢) (→3\7ed5)
Twelfth	57\84ed5 (1890.71¢) (→19\28ed5)
Consistency limit	4
Distinct consistency limit	4

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	33.1704	56/55
2	66.3408	26/25
3	99.5112	55/52
4	132.682	14/13
5	165.852	11/10
6	199.022	9/8, 28/25
7	232.193	63/55
8	265.363
9	298.534	25/21, 32/27, 77/65
10	331.704	40/33, 63/52
11	364.874	26/21
12	398.045	63/50
13	431.215	50/39
14	464.386	55/42
15	497.556	4/3
16	530.726
17	563.897
18	597.067	55/39
19	630.238	56/39, 75/52
20	663.408	22/15
21	696.578	3/2
22	729.749
23	762.919
24	796.09
25	829.26	21/13
26	862.43	33/20
27	895.601	42/25
28	928.771	75/44
29	961.942
30	995.112	16/9, 39/22
31	1028.28
32	1061.45
33	1094.62
34	1127.79	25/13
35	1160.96	39/20
36	1194.13
37	1227.3
38	1260.48
39	1293.65	55/26
40	1326.82	28/13
41	1359.99	11/5
42	1393.16	56/25
43	1426.33	25/11
44	1459.5	65/28
45	1492.67	26/11, 64/27
46	1525.84
47	1559.01
48	1592.18
49	1625.35
50	1658.52	13/5
51	1691.69
52	1724.86
53	1758.03
54	1791.2	45/16
55	1824.37	63/22
56	1857.54	44/15
57	1890.71
58	1923.88
59	1957.05	65/21
60	1990.22	63/20
61	2023.39
62	2056.56
63	2089.74	10/3
64	2122.91	75/22
65	2156.08	52/15
66	2189.25	39/11
67	2222.42
68	2255.59
69	2288.76	15/4
70	2321.93	42/11
71	2355.1	39/10
72	2388.27
73	2421.44
74	2454.61	33/8
75	2487.78	21/5
76	2520.95
77	2554.12
78	2587.29	40/9
79	2620.46	50/11
80	2653.63	65/14
81	2686.8	52/11
82	2719.97
83	2753.14
84	2786.31	5/1

Music

• Not From This World by Francium