84edt
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84edt is an edt system, the tritave variation of 53edo. It has a step size of 22.642321438874 cents, nearly identical to the 22.641509433962 cents of 53edo. The octave is 1200.0430362603 cents.
Table of 84edt intervals[edit]
Step | Five limit | Seven limit | Eleven limit | Thirteen limit |
1 | 81/80 | 50/49 | 50/49 | 50/49 |
2 | 128/125 | 36/35 | 33/32 | 33/32 |
3 | 25/24 | 25/24 | 22/21 | 22/21 |
4 | 135/128 | 21/20 | 21/20 | 21/20 |
5 | 16/15 | 15/14 | 15/14 | 15/14 |
6 | 27/25 | 27/25 | 27/25 | 13/12 |
7 | 800/729 | 35/32 | 11/10 | 11/10 |
8 | 10/9 | 10/9 | 10/9 | 10/9 |
9 | 9/8 | 9/8 | 9/8 | 9/8 |
10 | 256/225 | 8/7 | 8/7 | 8/7 |
11 | 125/108 | 81/70 | 63/55 | 15/13 |
12 | 75/64 | 7/6 | 7/6 | 7/6 |
13 | 32/27 | 25/21 | 25/21 | 13/11 |
14 | 6/5 | 6/5 | 6/5 | 6/5 |
15 | 243/200 | 60/49 | 11/9 | 11/9 |
16 | 100/81 | 49/40 | 27/22 | 16/13 |
17 | 5/4 | 5/4 | 5/4 | 5/4 |
18 | 81/64 | 63/50 | 63/50 | 33/26 |
19 | 32/25 | 9/7 | 9/7 | 9/7 |
20 | 125/96 | 35/27 | 35/27 | 13/10 |
21 | 320/243 | 21/16 | 21/16 | 21/16 |
22 | 4/3 | 4/3 | 4/3 | 4/3 |
23 | 27/20 | 27/20 | 27/20 | 27/20 |
24 | 512/375 | 48/35 | 11/8 | 11/8 |
25 | 25/18 | 25/18 | 25/18 | 18/13 |
26 | 45/32 | 7/5 | 7/5 | 7/5 |
27 | 64/45 | 10/7 | 10/7 | 10/7 |
28 | 36/25 | 36/25 | 36/25 | 13/9 |
29 | 375/256 | 35/24 | 16/11 | 16/11 |
30 | 40/27 | 40/27 | 40/27 | 40/27 |
31 | 3/2 | 3/2 | 3/2 | 3/2 |
32 | 243/160 | 32/21 | 32/21 | 32/21 |
33 | 125/81 | 49/32 | 49/32 | 20/13 |
34 | 25/16 | 14/9 | 11/7 | 11/7 |
35 | 128/81 | 63/40 | 63/40 | 52/33 |
36 | 8/5 | 8/5 | 8/5 | 8/5 |
37 | 81/50 | 80/49 | 44/27 | 13/8 |
38 | 400/243 | 49/30 | 18/11 | 18/11 |
39 | 5/3 | 5/3 | 5/3 | 5/3 |
40 | 27/16 | 27/16 | 27/16 | 22/13 |
41 | 128/75 | 12/7 | 12/7 | 12/7 |
42 | 125/72 | 125/72 | 110/63 | 26/15 |
43 | 225/128 | 7/4 | 7/4 | 7/4 |
44 | 16/9 | 16/9 | 16/9 | 16/9 |
45 | 9/5 | 9/5 | 9/5 | 9/5 |
46 | 729/400 | 49/27 | 11/6 | 11/6 |
47 | 50/27 | 50/27 | 50/27 | 13/7 |
48 | 15/8 | 15/8 | 15/8 | 15/8 |
49 | 243/128 | 40/21 | 40/21 | 40/21 |
50 | 48/25 | 27/14 | 21/11 | 21/11 |
51 | 125/64 | 35/18 | 35/18 | 35/18 |
52 | 160/81 | 49/25 | 49/25 | 49/25 |
53 | 2/1 | 2/1 | 2/1 | 2/1 |
54 | 81/40 | 81/40 | 55/27 | 55/27 |
55 | 256/125 | 49/24 | 33/16 | 33/16 |
56 | 25/12 | 25/12 | 25/12 | 25/12 |
57 | 135/64 | 21/10 | 21/10 | 21/10 |
58 | 32/15 | 15/7 | 15/7 | 15/7 |
59 | 54/25 | 54/25 | 54/25 | 13/6 |
60 | 1125/512 | 35/16 | 11/5 | 11/5 |
61 | 20/9 | 20/9 | 20/9 | 20/9 |
62 | 9/4 | 9/4 | 9/4 | 9/4 |
63 | 512/225 | 16/7 | 16/7 | 16/7 |
64 | 125/54 | 81/35 | 81/35 | 30/13 |
65 | 75/32 | 7/3 | 7/3 | 7/3 |
66 | 64/27 | 50/21 | 50/21 | 26/11 |
67 | 12/5 | 12/5 | 12/5 | 12/5 |
68 | 243/100 | 120/49 | 22/9 | 22/9 |
69 | 200/81 | 49/20 | 27/11 | 27/11 |
70 | 5/2 | 5/2 | 5/2 | 5/2 |
71 | 81/32 | 63/25 | 63/25 | 33/13 |
72 | 64/25 | 18/7 | 18/7 | 18/7 |
73 | 125/48 | 70/27 | 55/21 | 13/5 |
74 | 640/243 | 21/8 | 21/8 | 21/8 |
75 | 8/3 | 8/3 | 8/3 | 8/3 |
76 | 27/10 | 27/10 | 27/10 | 27/10 |
77 | 1024/375 | 49/18 | 11/4 | 11/4 |
78 | 25/9 | 25/9 | 25/9 | 25/9 |
79 | 45/16 | 14/5 | 14/5 | 14/5 |
80 | 128/45 | 20/7 | 20/7 | 20/7 |
81 | 72/25 | 72/25 | 63/22 | 26/9 |
82 | 375/128 | 35/12 | 32/11 | 32/11 |
83 | 80/27 | 80/27 | 80/27 | 65/22 |
84 | 3/1 | 3/1 | 3/1 | 3/1 |