199edo

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199edo is the 46th prime EDO. It has a step size of 6.0301507537688 cents. It is a commatonal EDO. It is consistent in the 5-odd-limit. It is also marvel.

Step Five limit Seven limit Eleven limit Thirteen limit
1 78125/78732 78125/78732 99/98 99/98
2 81/80 81/80 81/80 81/80
3 15625/15552 3125/3087 891/875 78/77
4 6561/6400 5103/5000 100/99 65/64
5 2048/2025 50/49 50/49 50/49
6 ? ? 45/44 45/44
7 128/125 36/35 36/35 36/35
8 20000/19683 15625/15309 33/32 33/32
9 648/625 648/625 363/350 65/63
10 250/243 250/243 125/121 27/26
11 6561/6250 6561/6250 80/77 26/25
12 25/24 25/24 25/24 25/24
13 ? ? 22/21 22/21
14 135/128 21/20 21/20 21/20
15 20480/19683 12500/11907 132/125 96/91
16 2187/2048 1323/1250 625/594 52/49
17 256/243 200/189 128/121 117/110
18 ? 83349/78125 35/33 35/33
19 16/15 15/14 15/14 15/14
20 62500/59049 62500/59049 77/72 77/72
21 27/25 27/25 27/25 27/25
22 3125/2916 3125/2916 539/500 14/13
23 2187/2000 2187/2000 250/231 13/12
24 625/576 160/147 160/147 160/147
25 ? ? 12/11 12/11
26 1125/1024 35/32 35/32 35/32
27 64000/59049 50000/45927 11/10 11/10
28 3456/3125 441/400 441/400 208/189
29 800/729 625/567 400/363 72/65
30 17496/15625 17496/15625 256/231 39/35
31 10/9 10/9 10/9 10/9
32 ? ? 49/44 49/44
33 9/8 9/8 9/8 9/8
34 65536/59049 21875/19683 198/175 169/150
35 729/640 567/500 363/320 44/39
36 4096/3645 500/441 500/441 143/126
37 59049/51200 35721/31250 25/22 25/22
38 256/225 8/7 8/7 8/7
39 ? ? 55/48 55/48
40 144/125 81/70 81/70 81/70
41 2500/2187 2500/2187 231/200 15/13
42 729/625 729/625 625/539 52/45
43 125/108 125/108 125/108 121/104
44 59049/50000 59049/50000 64/55 64/55
45 75/64 7/6 7/6 7/6
46 ? ? 33/28 33/28
47 1215/1024 147/125 147/125 147/125
48 2560/2187 2000/1701 297/250 13/11
49 19683/16384 11907/10000 350/297 77/65
50 32/27 25/21 25/21 25/21
51 ? ? 105/88 105/88
52 6/5 6/5 6/5 6/5
53 15625/13122 15625/13122 77/64 77/64
54 243/200 243/200 121/100 65/54
55 3125/2592 875/729 875/726 63/52
56 19683/16000 15309/12500 40/33 39/32
57 625/512 60/49 60/49 60/49
58 ? ? 11/9 11/9
59 768/625 49/40 49/40 49/40
60 8000/6561 6250/5103 99/80 16/13
61 3888/3125 2187/1750 1089/875 26/21
62 100/81 100/81 100/81 81/65
63 19683/15625 19683/15625 96/77 96/77
64 5/4 5/4 5/4 5/4
65 ? ? 44/35 44/35
66 81/64 63/50 63/50 63/50
67 8192/6561 5000/3969 792/625 49/39
68 6561/5120 3969/3125 125/99 33/26
69 512/405 80/63 80/63 80/63
70 ? ? 14/11 14/11
71 32/25 9/7 9/7 9/7
72 25000/19683 25000/19683 77/60 50/39
73 162/125 162/125 162/125 104/81
74 625/486 625/486 625/484 84/65
75 6561/5000 6561/5000 100/77 13/10
76 125/96 35/27 35/27 35/27
77 ? ? 55/42 55/42
78 675/512 21/16 21/16 21/16
79 25600/19683 15625/11907 33/25 33/25
80 10935/8192 1323/1000 847/640 65/49
81 320/243 250/189 160/121 117/88
82 ? 59049/43750 175/132 175/132
83 4/3 4/3 4/3 4/3
84 78125/59049 78125/59049 66/49 66/49
85 27/20 27/20 27/20 27/20
86 15625/11664 8750/6561 539/400 35/26
87 2187/1600 1701/1250 400/297 65/48
88 3125/2304 200/147 200/147 143/105
89 ? ? 15/11 15/11
90 512/375 48/35 48/35 48/35
91 80000/59049 62500/45927 11/8 11/8
92 864/625 243/175 242/175 196/143
93 1000/729 1000/729 500/363 18/13
94 4374/3125 4374/3125 320/231 39/28
95 25/18 25/18 25/18 25/18
96 ? ? 88/63 88/63
97 45/32 7/5 7/5 7/5
98 81920/59049 50000/35721 99/70 99/70
99 729/512 567/400 363/256 55/39
100 1024/729 625/441 512/363 78/55
101 59049/40960 35721/25000 125/88 91/64
102 64/45 10/7 10/7 10/7
103 ? ? 63/44 63/44
104 36/25 36/25 36/25 36/25
105 3125/2187 3125/2187 231/160 56/39
106 729/500 729/500 363/250 13/9
107 625/432 350/243 175/121 143/98
108 59049/40000 45927/31250 16/11 16/11
109 375/256 35/24 35/24 35/24
110 ? ? 22/15 22/15
111 4608/3125 147/100 147/100 147/100
112 3200/2187 2500/1701 297/200 65/44
113 23328/15625 6561/4375 800/539 52/35
114 40/27 40/27 40/27 40/27
115 ? ? 49/33 49/33
116 3/2 3/2 3/2 3/2
117 78125/52488 78125/52488 264/175 169/112
118 243/160 189/125 121/80 121/80
119 15625/10368 2000/1323 1280/847 98/65
120 19683/12800 15309/10000 50/33 50/33
121 1024/675 32/21 32/21 32/21
122 ? ? 55/36 55/36
123 192/125 49/32 49/32 49/32
124 10000/6561 10000/6561 77/50 20/13
125 972/625 972/625 968/625 65/42
126 125/81 125/81 125/81 81/52
127 19683/12500 19683/12500 120/77 39/25
128 25/16 14/9 14/9 14/9
129 ? ? 11/7 11/7
130 405/256 63/40 63/40 63/40
131 10240/6561 6250/3969 198/125 52/33
132 6561/4096 3969/2500 625/396 78/49
133 128/81 100/63 100/63 100/63
134 ? ? 35/22 35/22
135 8/5 8/5 8/5 8/5
136 31250/19683 31250/19683 77/48 77/48
137 81/50 81/50 81/50 81/50
138 3125/1944 3125/1944 1617/1000 21/13
139 6561/4000 5103/3125 125/77 13/8
140 625/384 80/49 80/49 80/49
141 ? ? 18/11 18/11
142 1024/625 49/30 49/30 49/30
143 32000/19683 25000/15309 33/20 33/20
144 5184/3125 1029/625 847/512 104/63
145 400/243 400/243 200/121 91/55
146 26244/15625 26244/15625 128/77 117/70
147 5/3 5/3 5/3 5/3
148 ? ? 147/88 147/88
149 27/16 27/16 27/16 27/16
150 32768/19683 15625/9261 297/175 130/77
151 2187/1280 1701/1000 500/297 22/13
152 2048/1215 250/147 250/147 143/84
153 ? ? 56/33 56/33
154 128/75 12/7 12/7 12/7
155 ? 78125/45927 55/32 55/32
156 216/125 216/125 121/70 121/70
157 1250/729 1250/729 625/363 45/26
158 2187/1250 2187/1250 400/231 26/15
159 125/72 125/72 125/72 125/72
160 ? ? 96/55 96/55
161 225/128 7/4 7/4 7/4
162 ? 62500/35721 44/25 44/25
163 3645/2048 441/250 441/250 252/143
164 1280/729 1000/567 640/363 39/22
165 59049/32768 27783/15625 175/99 175/99
166 16/9 16/9 16/9 16/9
167 ? ? 88/49 88/49
168 9/5 9/5 9/5 9/5
169 15625/8748 15625/8748 231/128 70/39
170 729/400 729/400 363/200 65/36
171 3125/1728 625/343 625/343 189/104
172 59049/32000 45927/25000 20/11 20/11
173 1875/1024 49/27 49/27 49/27
174 ? ? 11/6 11/6
175 1152/625 147/80 147/80 147/80
176 4000/2187 3125/1701 231/125 24/13
177 5832/3125 5832/3125 1000/539 13/7
178 50/27 50/27 50/27 50/27
179 59049/31250 59049/31250 144/77 144/77
180 15/8 15/8 15/8 15/8
181 ? ? 66/35 66/35
182 243/128 189/100 121/64 121/64
183 4096/2187 2500/1323 1188/625 49/26
184 19683/10240 11907/6250 125/66 91/48
185 256/135 40/21 40/21 40/21
186 ? ? 21/11 21/11
187 48/25 27/14 27/14 27/14
188 12500/6561 12500/6561 77/40 25/13
189 243/125 243/125 242/125 52/27
190 625/324 625/324 625/324 126/65
191 19683/10000 19683/10000 64/33 39/20
192 125/64 35/18 35/18 35/18
193 ? ? 55/28 55/28
194 2025/1024 49/25 49/25 49/25
195 12800/6561 10000/5103 99/50 65/33
196 31104/15625 3969/2000 1750/891 77/39
197 160/81 125/63 125/63 125/63
198 ? ? 175/88 175/88
199 2/1 2/1 2/1 2/1