194edo

From TD Xenharmonic Wiki
Jump to navigation Jump to search

194edo uses a step size of 6.1855670103093 cents, and is a commatonal EDO. It can be thought of as two sets of 97edo. Divisors are {{#rreplace: 194 97 2 1|/(\d+)(\D+)?/|\1\2}}. It is consistent in the 5-odd-limit.

Step Five limit Seven limit Eleven limit Thirteen limit
1 15625/15552 224/225 99/98 99/98
2 81/80 81/80 81/80 81/80
3 3125/3072 126/125 100/99 78/77
4 6561/6400 50/49 50/49 50/49
5 16875/16384 64/63 45/44 45/44
6 2048/2025 405/392 55/54 55/54
7 20000/19683 36/35 36/35 36/35
8 128/125 128/125 33/32 33/32
9 250/243 250/243 77/75 27/26
10 648/625 648/625 80/77 80/77
11 25/24 25/24 25/24 25/24
12 6561/6250 28/27 28/27 26/25
13 135/128 135/128 22/21 22/21
14 78125/73728 21/20 21/20 21/20
15 2187/2048 392/375 297/280 55/52
16 16384/15625 200/189 128/121 52/49
17 256/243 256/243 35/33 35/33
18 62500/59049 15/14 15/14 15/14
19 16/15 16/15 16/15 16/15
20 3125/2916 243/224 77/72 77/72
21 27/25 27/25 27/25 14/13
22 625/576 375/343 242/225 99/91
23 2187/2000 160/147 160/147 13/12
24 1125/1024 784/729 12/11 12/11
25 32768/30375 35/32 35/32 35/32
26 18225/16384 49/45 49/45 49/45
27 2048/1875 567/512 11/10 11/10
28 800/729 441/400 441/400 72/65
29 3456/3125 125/112 125/112 125/112
30 10/9 10/9 10/9 10/9
31 17496/15625 448/405 49/44 49/44
32 9/8 9/8 9/8 9/8
33 15625/13824 28/25 28/25 28/25
34 729/640 500/441 198/175 44/39
35 9375/8192 567/500 25/22 25/22
36 4096/3645 225/196 112/99 112/99
37 ? 8/7 8/7 8/7
38 256/225 256/225 55/48 55/48
39 2500/2187 81/70 81/70 15/13
40 144/125 144/125 121/105 121/105
41 125/108 125/108 125/108 65/56
42 729/625 280/243 90/77 52/45
43 75/64 75/64 64/55 64/55
44 59049/50000 7/6 7/6 7/6
45 1215/1024 784/675 33/28 33/28
46 32768/28125 189/160 88/75 88/75
47 2560/2187 147/125 147/125 13/11
48 18432/15625 25/21 25/21 25/21
49 32/27 32/27 32/27 32/27
50 15625/13122 135/112 135/112 125/104
51 6/5 6/5 6/5 6/5
52 3125/2592 448/375 77/64 77/64
53 243/200 243/200 243/200 63/52
54 625/512 625/512 40/33 40/33
55 19683/16000 60/49 60/49 39/32
56 10125/8192 98/81 27/22 27/22
57 4096/3375 243/196 11/9 11/9
58 8000/6561 49/40 49/40 16/13
59 768/625 625/504 99/80 99/80
60 100/81 100/81 100/81 26/21
61 3888/3125 896/729 96/77 96/77
62 5/4 5/4 5/4 5/4
63 19683/15625 56/45 56/45 56/45
64 81/64 81/64 44/35 44/35
65 15625/12288 63/50 63/50 49/39
66 6561/5120 125/98 125/98 33/26
67 84375/65536 80/63 80/63 80/63
68 512/405 512/405 14/11 14/11
69 25000/19683 9/7 9/7 9/7
70 32/25 32/25 32/25 32/25
71 625/486 625/486 77/60 77/60
72 162/125 162/125 100/77 84/65
73 125/96 125/96 125/96 125/96
74 6561/5000 35/27 35/27 13/10
75 675/512 675/512 55/42 55/42
76 65536/50625 21/16 21/16 21/16
77 10935/8192 98/75 98/75 98/75
78 4096/3125 250/189 33/25 33/25
79 320/243 320/243 175/132 117/88
80 20736/15625 75/56 75/56 75/56
81 4/3 4/3 4/3 4/3
82 15625/11664 896/675 66/49 66/49
83 27/20 27/20 27/20 27/20
84 3125/2304 168/125 121/90 104/77
85 2187/1600 200/147 200/147 65/48
86 5625/4096 256/189 15/11 15/11
87 8192/6075 135/98 110/81 110/81
88 80000/59049 48/35 48/35 48/35
89 512/375 512/375 11/8 11/8
90 1000/729 243/175 243/175 18/13
91 864/625 343/250 242/175 91/66
92 25/18 25/18 25/18 25/18
93 4374/3125 112/81 108/77 104/75
94 45/32 45/32 45/32 45/32
95 78125/55296 7/5 7/5 7/5
96 729/512 625/441 99/70 55/39
97 46875/32768 567/400 125/88 125/88
98 1024/729 882/625 140/99 78/55
99 ? 10/7 10/7 10/7
100 64/45 64/45 63/44 63/44
101 3125/2187 81/56 77/54 75/52
102 36/25 36/25 36/25 36/25
103 625/432 500/343 175/121 132/91
104 729/500 350/243 225/154 13/9
105 375/256 375/256 16/11 16/11
106 59049/40000 35/24 35/24 35/24
107 6075/4096 196/135 81/55 81/55
108 8192/5625 189/128 22/15 22/15
109 3200/2187 147/100 147/100 65/44
110 4608/3125 125/84 125/84 77/52
111 40/27 40/27 40/27 40/27
112 23328/15625 675/448 49/33 49/33
113 3/2 3/2 3/2 3/2
114 15625/10368 112/75 112/75 112/75
115 243/160 243/160 243/160 169/112
116 3125/2048 189/125 50/33 50/33
117 16384/10935 75/49 75/49 75/49
118 50625/32768 32/21 32/21 32/21
119 1024/675 1024/675 55/36 55/36
120 10000/6561 49/32 49/32 20/13
121 192/125 192/125 99/64 99/64
122 125/81 125/81 77/50 65/42
123 972/625 972/625 120/77 120/77
124 25/16 25/16 25/16 25/16
125 19683/12500 14/9 14/9 14/9
126 405/256 405/256 11/7 11/7
127 78125/49152 63/40 63/40 63/40
128 6561/4096 196/125 196/125 52/33
129 24576/15625 100/63 100/63 78/49
130 128/81 128/81 35/22 35/22
131 31250/19683 45/28 45/28 45/28
132 8/5 8/5 8/5 8/5
133 3125/1944 729/448 77/48 77/48
134 81/50 81/50 81/50 21/13
135 625/384 625/384 121/75 121/75
136 6561/4000 80/49 80/49 13/8
137 3375/2048 392/243 18/11 18/11
138 16384/10125 81/49 44/27 44/27
139 32000/19683 49/30 49/30 49/30
140 1024/625 625/378 33/20 33/20
141 400/243 400/243 400/243 104/63
142 5184/3125 375/224 128/77 91/55
143 5/3 5/3 5/3 5/3
144 26244/15625 224/135 147/88 147/88
145 27/16 27/16 27/16 27/16
146 15625/9216 42/25 42/25 42/25
147 2187/1280 250/147 250/147 22/13
148 28125/16384 320/189 75/44 75/44
149 2048/1215 675/392 56/33 56/33
150 ? 12/7 12/7 12/7
151 128/75 128/75 55/32 55/32
152 1250/729 243/140 77/45 45/26
153 216/125 216/125 121/70 112/65
154 125/72 125/72 125/72 125/72
155 2187/1250 140/81 135/77 26/15
156 225/128 225/128 96/55 96/55
157 ? 7/4 7/4 7/4
158 3645/2048 392/225 99/56 99/56
159 16384/9375 567/320 44/25 44/25
160 1280/729 441/250 175/99 39/22
161 27648/15625 25/14 25/14 25/14
162 16/9 16/9 16/9 16/9
163 15625/8748 405/224 88/49 88/49
164 9/5 9/5 9/5 9/5
165 3125/1728 224/125 224/125 165/91
166 729/400 729/400 539/300 65/36
167 1875/1024 1024/567 20/11 20/11
168 32768/18225 90/49 90/49 90/49
169 30375/16384 49/27 49/27 49/27
170 2048/1125 729/392 11/6 11/6
171 4000/2187 147/80 147/80 24/13
172 1152/625 625/336 225/121 182/99
173 50/27 50/27 50/27 13/7
174 5832/3125 448/243 144/77 121/65
175 15/8 15/8 15/8 15/8
176 59049/31250 28/15 28/15 28/15
177 243/128 243/128 66/35 66/35
178 15625/8192 189/100 121/64 49/26
179 4096/2187 375/196 375/196 99/52
180 ? 40/21 40/21 40/21
181 256/135 256/135 21/11 21/11
182 12500/6561 27/14 27/14 25/13
183 48/25 48/25 48/25 48/25
184 625/324 625/324 77/40 77/40
185 243/125 243/125 150/77 52/27
186 125/64 125/64 64/33 64/33
187 19683/10000 35/18 35/18 35/18
188 2025/1024 784/405 55/28 55/28
189 32768/16875 63/32 63/32 63/32
190 12800/6561 49/25 49/25 49/25
191 6144/3125 125/63 99/50 77/39
192 160/81 160/81 160/81 160/81
193 31104/15625 225/112 196/99 143/72
194 2/1 2/1 2/1 2/1