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	5
Distinct consistency limit	5

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	33.2
2	66.3	26/25
3	99.5
4	132.7	40/37, 41/38
5	165.9	11/10
6	199	28/25, 37/33
7	232.2
8	265.4
9	298.5
10	331.7	23/19, 40/33
11	364.9	21/17, 37/30
12	398	39/31
13	431.2
14	464.4	17/13
15	497.6	4/3
16	530.7	19/14, 34/25
17	563.9
18	597.1	41/29
19	630.2
20	663.4	22/15
21	696.6
22	729.7	29/19, 35/23
23	762.9
24	796.1
25	829.3	21/13
26	862.4	23/14, 28/17
27	895.6
28	928.8
29	961.9
30	995.1	16/9
31	1028.3	38/21
32	1061.5
33	1094.6
34	1127.8
35	1161	41/21
36	1194.1
37	1227.3
38	1260.5	29/14
39	1293.6
40	1326.8	28/13
41	1360
42	1393.2	38/17
43	1426.3
44	1459.5
45	1492.7
46	1525.8	41/17
47	1559
48	1592.2
49	1625.3
50	1658.5
51	1691.7
52	1724.9
53	1758
54	1791.2	31/11
55	1824.4
56	1857.5	38/13, 41/14
57	1890.7
58	1923.9
59	1957.1	31/10
60	1990.2	41/13
61	2023.4
62	2056.6	23/7
63	2089.7
64	2122.9
65	2156.1
66	2189.2	39/11
67	2222.4
68	2255.6
69	2288.8	15/4
70	2321.9
71	2355.1	39/10
72	2388.3
73	2421.4
74	2454.6	33/8
75	2487.8
76	2521
77	2554.1
78	2587.3
79	2620.5
80	2653.6	37/8
81	2686.8
82	2720
83	2753.1
84	2786.3	5/1

Music

• Not From This World by Francium