163edo

From TD Xenharmonic Wiki
Jump to navigation Jump to search

163edo is the 38th prime EDO. It has a step size of 7.361963190184 cents. It is a commatonal EDO. It is consistent in the 5-odd-limit.

Step Five limit Seven limit Eleven limit Thirteen limit
1 ? 224/225 99/98 99/98
2 81/80 81/80 81/80 78/77
3 32768/32805 50/49 50/49 50/49
4 6561/6400 64/63 45/44 45/44
5 2048/2025 405/392 55/54 55/54
6 ? 36/35 36/35 36/35
7 128/125 128/125 33/32 33/32
8 ? 729/700 77/75 27/26
9 25/24 25/24 25/24 25/24
10 ? 28/27 28/27 26/25
11 135/128 135/128 22/21 22/21
12 20480/19683 21/20 21/20 21/20
13 2187/2048 200/189 128/121 52/49
14 256/243 256/243 35/33 35/33
15 ? 15/14 15/14 15/14
16 16/15 16/15 16/15 16/15
17 ? 243/224 77/72 77/72
18 27/25 27/25 27/25 14/13
19 ? 160/147 160/147 13/12
20 1125/1024 784/729 12/11 12/11
21 32768/30375 35/32 35/32 35/32
22 18225/16384 49/45 49/45 49/45
23 800/729 567/512 11/10 11/10
24 ? 125/112 125/112 72/65
25 10/9 10/9 10/9 10/9
26 ? 448/405 49/44 49/44
27 9/8 9/8 9/8 9/8
28 65536/59049 28/25 28/25 28/25
29 729/640 640/567 25/22 25/22
30 4096/3645 225/196 112/99 112/99
31 59049/51200 8/7 8/7 8/7
32 256/225 256/225 55/48 55/48
33 ? 81/70 81/70 15/13
34 125/108 125/108 121/105 65/56
35 ? 280/243 90/77 52/45
36 75/64 75/64 64/55 64/55
37 ? 7/6 7/6 7/6
38 1215/1024 784/675 33/28 33/28
39 2560/2187 189/160 88/75 13/11
40 19683/16384 25/21 25/21 25/21
41 32/27 32/27 32/27 32/27
42 ? 135/112 135/112 125/104
43 6/5 6/5 6/5 6/5
44 ? 448/375 77/64 65/54
45 243/200 243/200 40/33 40/33
46 65536/54675 60/49 60/49 39/32
47 10125/8192 98/81 27/22 27/22
48 4096/3375 243/196 11/9 11/9
49 ? 49/40 49/40 16/13
50 100/81 100/81 99/80 26/21
51 ? 896/729 96/77 81/65
52 5/4 5/4 5/4 5/4
53 ? 56/45 56/45 56/45
54 81/64 81/64 44/35 44/35
55 8192/6561 63/50 63/50 49/39
56 6561/5120 80/63 80/63 33/26
57 512/405 512/405 14/11 14/11
58 ? 9/7 9/7 9/7
59 32/25 32/25 32/25 32/25
60 ? 729/560 77/60 77/60
61 125/96 125/96 125/96 84/65
62 ? 35/27 35/27 13/10
63 675/512 675/512 55/42 55/42
64 25600/19683 21/16 21/16 21/16
65 10935/8192 98/75 98/75 65/49
66 320/243 320/243 33/25 33/25
67 ? 75/56 75/56 75/56
68 4/3 4/3 4/3 4/3
69 ? 896/675 66/49 66/49
70 27/20 27/20 27/20 27/20
71 ? 168/125 121/90 65/48
72 2187/1600 256/189 15/11 15/11
73 8192/6075 135/98 110/81 110/81
74 91125/65536 48/35 48/35 48/35
75 512/375 512/375 11/8 11/8
76 ? 243/175 243/175 18/13
77 25/18 25/18 25/18 25/18
78 ? 112/81 108/77 104/75
79 45/32 45/32 45/32 45/32
80 81920/59049 7/5 7/5 7/5
81 729/512 729/512 99/70 55/39
82 1024/729 567/400 140/99 78/55
83 59049/40960 10/7 10/7 10/7
84 64/45 64/45 63/44 63/44
85 ? 81/56 77/54 75/52
86 36/25 36/25 36/25 36/25
87 ? 350/243 225/154 13/9
88 375/256 375/256 16/11 16/11
89 ? 35/24 35/24 35/24
90 6075/4096 196/135 81/55 81/55
91 3200/2187 189/128 22/15 22/15
92 98415/65536 125/84 125/84 96/65
93 40/27 40/27 40/27 40/27
94 ? 675/448 49/33 49/33
95 3/2 3/2 3/2 3/2
96 ? 112/75 112/75 112/75
97 243/160 243/160 50/33 50/33
98 16384/10935 75/49 75/49 75/49
99 19683/12800 32/21 32/21 32/21
100 1024/675 1024/675 55/36 55/36
101 ? 49/32 49/32 20/13
102 125/81 125/81 99/64 65/42
103 ? 1120/729 77/50 77/50
104 25/16 25/16 25/16 25/16
105 ? 14/9 14/9 14/9
106 405/256 405/256 11/7 11/7
107 10240/6561 63/40 63/40 52/33
108 6561/4096 100/63 100/63 78/49
109 128/81 128/81 35/22 35/22
110 ? 45/28 45/28 45/28
111 8/5 8/5 8/5 8/5
112 ? 729/448 77/48 77/48
113 81/50 81/50 81/50 21/13
114 ? 80/49 80/49 13/8
115 3375/2048 392/243 18/11 18/11
116 16384/10125 81/49 44/27 44/27
117 54675/32768 49/30 49/30 49/30
118 400/243 400/243 33/20 33/20
119 ? 375/224 128/77 91/55
120 5/3 5/3 5/3 5/3
121 ? 224/135 147/88 147/88
122 27/16 27/16 27/16 27/16
123 32768/19683 42/25 42/25 42/25
124 2187/1280 320/189 75/44 22/13
125 2048/1215 675/392 56/33 56/33
126 ? 12/7 12/7 12/7
127 128/75 128/75 55/32 55/32
128 ? 243/140 77/45 45/26
129 125/72 125/72 121/70 112/65
130 ? 140/81 135/77 26/15
131 225/128 225/128 96/55 96/55
132 ? 7/4 7/4 7/4
133 3645/2048 392/225 99/56 99/56
134 1280/729 567/320 44/25 39/22
135 59049/32768 25/14 25/14 25/14
136 16/9 16/9 16/9 16/9
137 ? 405/224 88/49 88/49
138 9/5 9/5 9/5 9/5
139 ? 224/125 224/125 65/36
140 729/400 729/400 20/11 20/11
141 32768/18225 90/49 90/49 90/49
142 30375/16384 49/27 49/27 49/27
143 2048/1125 729/392 11/6 11/6
144 ? 147/80 147/80 24/13
145 50/27 50/27 50/27 13/7
146 ? 448/243 144/77 144/77
147 15/8 15/8 15/8 15/8
148 ? 28/15 28/15 28/15
149 243/128 243/128 66/35 66/35
150 4096/2187 189/100 121/64 49/26
151 19683/10240 40/21 40/21 40/21
152 256/135 256/135 21/11 21/11
153 ? 27/14 27/14 25/13
154 48/25 48/25 48/25 48/25
155 ? 1400/729 77/40 52/27
156 125/64 125/64 64/33 64/33
157 ? 35/18 35/18 35/18
158 2025/1024 784/405 55/28 55/28
159 12800/6561 63/32 63/32 63/32
160 32805/16384 49/25 49/25 49/25
161 160/81 160/81 99/50 77/39
162 ? 225/112 196/99 143/72
163 2/1 2/1 2/1 2/1