84ed5

From Xenharmonic Wiki
Jump to navigation Jump to search

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.

← 83ed584ed585ed5 →
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 33.17 56/55
2 66.341 26/25
3 99.511 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 1028.282
32 1061.453
33 1094.623
34 1127.794 25/13
35 1160.964 39/20
36 1194.134
37 1227.305
38 1260.475
39 1293.646 55/26
40 1326.816 28/13
41 1359.986 11/5
42 1393.157 56/25
43 1426.327 25/11
44 1459.498 65/28
45 1492.668 26/11, 64/27
46 1525.838
47 1559.009
48 1592.179
49 1625.35
50 1658.52 13/5
51 1691.69
52 1724.861
53 1758.031
54 1791.202 45/16
55 1824.372 63/22
56 1857.542 44/15
57 1890.713
58 1923.883
59 1957.054 65/21
60 1990.224 63/20
61 2023.394
62 2056.565
63 2089.735 10/3
64 2122.906 75/22
65 2156.076 52/15
66 2189.246 39/11
67 2222.417
68 2255.587
69 2288.758 15/4
70 2321.928 42/11
71 2355.098 39/10
72 2388.269
73 2421.439
74 2454.61 33/8
75 2487.78 21/5
76 2520.951
77 2554.121
78 2587.291 40/9
79 2620.462 50/11
80 2653.632 65/14
81 2686.803 52/11
82 2719.973
83 2753.143
84 2786.314 5/1

Music