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