Table of 321edo intervals

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Steps Cents Approximate ratios Ups and downs notation
0 0 1/1 D
1 3.74 ^D, ^10E♭♭
2 7.48 ^^D, ^11E♭♭
3 11.21 ^3D, ^12E♭♭
4 14.95 ^4D, ^13E♭♭
5 18.69 91/90, 92/91, 93/92, 94/93, 95/94, 96/95 ^5D, ^14E♭♭
6 22.43 ^6D, ^15E♭♭
7 26.17 66/65 ^7D, v16E♭
8 29.91 ^8D, v15E♭
9 33.64 52/51 ^9D, v14E♭
10 37.38 47/46, 93/91, 95/93 ^10D, v13E♭
11 41.12 42/41, 43/42 ^11D, v12E♭
12 44.86 39/38 ^12D, v11E♭
13 48.6 ^13D, v10E♭
14 52.34 ^14D, v9E♭
15 56.07 94/91, 95/92 ^15D, v8E♭
16 59.81 88/85 ^16D, v7E♭
17 63.55 v15D♯, v6E♭
18 67.29 v14D♯, v5E♭
19 71.03 99/95 v13D♯, v4E♭
20 74.77 47/45, 95/91 v12D♯, v3E♭
21 78.5 45/43, 68/65 v11D♯, vvE♭
22 82.24 43/41, 65/62 v10D♯, vE♭
23 85.98 41/39 v9D♯, E♭
24 89.72 99/94 v8D♯, ^E♭
25 93.46 19/18 v7D♯, ^^E♭
26 97.2 92/87 v6D♯, ^3E♭
27 100.93 v5D♯, ^4E♭
28 104.67 17/16 v4D♯, ^5E♭
29 108.41 33/31 v3D♯, ^6E♭
30 112.15 16/15 vvD♯, ^7E♭
31 115.89 31/29 vD♯, ^8E♭
32 119.63 15/14 D♯, ^9E♭
33 123.36 ^D♯, ^10E♭
34 127.1 99/92 ^^D♯, ^11E♭
35 130.84 69/64 ^3D♯, ^12E♭
36 134.58 40/37, 94/87 ^4D♯, ^13E♭
37 138.32 13/12 ^5D♯, ^14E♭
38 142.06 ^6D♯, ^15E♭
39 145.79 37/34, 87/80, 99/91 ^7D♯, v16E
40 149.53 ^8D♯, v15E
41 153.27 ^9D♯, v14E
42 157.01 23/21 ^10D♯, v13E
43 160.75 45/41 ^11D♯, v12E
44 164.49 11/10 ^12D♯, v11E
45 168.22 ^13D♯, v10E
46 171.96 95/86 ^14D♯, v9E
47 175.7 31/28 ^15D♯, v8E
48 179.44 ^16D♯, v7E
49 183.18 v15D𝄪, v6E
50 186.92 49/44 v14D𝄪, v5E
51 190.65 48/43 v13D𝄪, v4E
52 194.39 47/42 v12D𝄪, v3E
53 198.13 37/33 v11D𝄪, vvE
54 201.87 v10D𝄪, vE
55 205.61 98/87 E
56 209.35 ^E, ^10F♭
57 213.08 95/84 ^^E, ^11F♭
58 216.82 17/15 ^3E, ^12F♭
59 220.56 ^4E, ^13F♭
60 224.3 33/29, 74/65 ^5E, ^14F♭
61 228.04 ^6E, ^15F♭
62 231.78 8/7 ^7E, v16F
63 235.51 ^8E, v15F
64 239.25 ^9E, v14F
65 242.99 ^10E, v13F
66 246.73 98/85 ^11E, v12F
67 250.47 52/45 ^12E, v11F
68 254.21 95/82 ^13E, v10F
69 257.94 65/56 ^14E, v9F
70 261.68 ^15E, v8F
71 265.42 ^16E, v7F
72 269.16 v15E♯, v6F
73 272.9 48/41 v14E♯, v5F
74 276.64 88/75 v13E♯, v4F
75 280.37 87/74 v12E♯, v3F
76 284.11 33/28 v11E♯, vvF
77 287.85 v10E♯, vF
78 291.59 58/49 F
79 295.33 51/43 ^F, ^10G♭♭
80 299.07 82/69 ^^F, ^11G♭♭
81 302.8 56/47 ^3F, ^12G♭♭
82 306.54 37/31 ^4F, ^13G♭♭
83 310.28 ^5F, ^14G♭♭
84 314.02 ^6F, ^15G♭♭
85 317.76 ^7F, v16G♭
86 321.5 ^8F, v15G♭
87 325.23 35/29, 76/63 ^9F, v14G♭
88 328.97 52/43, 75/62 ^10F, v13G♭
89 332.71 40/33, 63/52 ^11F, v12G♭
90 336.45 17/14 ^12F, v11G♭
91 340.19 28/23 ^13F, v10G♭
92 343.93 ^14F, v9G♭
93 347.66 ^15F, v8G♭
94 351.4 49/40 ^16F, v7G♭
95 355.14 v15F♯, v6G♭
96 358.88 16/13 v14F♯, v5G♭
97 362.62 37/30 v13F♯, v4G♭
98 366.36 21/17 v12F♯, v3G♭
99 370.09 26/21 v11F♯, vvG♭
100 373.83 v10F♯, vG♭
101 377.57 51/41 v9F♯, G♭
102 381.31 86/69 v8F♯, ^G♭
103 385.05 v7F♯, ^^G♭
104 388.79 v6F♯, ^3G♭
105 392.52 64/51 v5F♯, ^4G♭
106 396.26 44/35, 93/74 v4F♯, ^5G♭
107 400 v3F♯, ^6G♭
108 403.74 vvF♯, ^7G♭
109 407.48 62/49 vF♯, ^8G♭
110 411.21 52/41 F♯, ^9G♭
111 414.95 ^F♯, ^10G♭
112 418.69 ^^F♯, ^11G♭
113 422.43 60/47 ^3F♯, ^12G♭
114 426.17 87/68 ^4F♯, ^13G♭
115 429.91 ^5F♯, ^14G♭
116 433.64 ^6F♯, ^15G♭
117 437.38 85/66 ^7F♯, v16G
118 441.12 40/31 ^8F♯, v15G
119 444.86 75/58 ^9F♯, v14G
120 448.6 ^10F♯, v13G
121 452.34 100/77 ^11F♯, v12G
122 456.07 82/63 ^12F♯, v11G
123 459.81 30/23 ^13F♯, v10G
124 463.55 98/75 ^14F♯, v9G
125 467.29 ^15F♯, v8G
126 471.03 21/16 ^16F♯, v7G
127 474.77 v15F𝄪, v6G
128 478.5 29/22, 91/69 v14F𝄪, v5G
129 482.24 37/28 v13F𝄪, v4G
130 485.98 49/37 v12F𝄪, v3G
131 489.72 65/49, 69/52 v11F𝄪, vvG
132 493.46 v10F𝄪, vG
133 497.2 G
134 500.93 ^G, ^10A♭♭
135 504.67 87/65, 91/68 ^^G, ^11A♭♭
136 508.41 ^3G, ^12A♭♭
137 512.15 43/32 ^4G, ^13A♭♭
138 515.89 66/49 ^5G, ^14A♭♭
139 519.63 ^6G, ^15A♭♭
140 523.36 23/17 ^7G, v16A♭
141 527.1 ^8G, v15A♭
142 530.84 ^9G, v14A♭
143 534.58 64/47 ^10G, v13A♭
144 538.32 86/63 ^11G, v12A♭
145 542.06 93/68 ^12G, v11A♭
146 545.79 85/62 ^13G, v10A♭
147 549.53 ^14G, v9A♭
148 553.27 95/69 ^15G, v8A♭
149 557.01 40/29 ^16G, v7A♭
150 560.75 47/34, 65/47 v15G♯, v6A♭
151 564.49 v14G♯, v5A♭
152 568.22 v13G♯, v4A♭
153 571.96 32/23 v12G♯, v3A♭
154 575.7 v11G♯, vvA♭
155 579.44 95/68 v10G♯, vA♭
156 583.18 v9G♯, A♭
157 586.92 87/62 v8G♯, ^A♭
158 590.65 45/32 v7G♯, ^^A♭
159 594.39 v6G♯, ^3A♭
160 598.13 65/46 v5G♯, ^4A♭
161 601.87 92/65 v4G♯, ^5A♭
162 605.61 v3G♯, ^6A♭
163 609.35 64/45, 91/64 vvG♯, ^7A♭
164 613.08 vG♯, ^8A♭
165 616.82 G♯, ^9A♭
166 620.56 93/65 ^G♯, ^10A♭
167 624.3 ^^G♯, ^11A♭
168 628.04 23/16 ^3G♯, ^12A♭
169 631.78 ^4G♯, ^13A♭
170 635.51 ^5G♯, ^14A♭
171 639.25 68/47, 94/65 ^6G♯, ^15A♭
172 642.99 29/20 ^7G♯, v16A
173 646.73 93/64 ^8G♯, v15A
174 650.47 99/68 ^9G♯, v14A
175 654.21 ^10G♯, v13A
176 657.94 ^11G♯, v12A
177 661.68 63/43, 85/58 ^12G♯, v11A
178 665.42 47/32 ^13G♯, v10A
179 669.16 ^14G♯, v9A
180 672.9 ^15G♯, v8A
181 676.64 34/23 ^16G♯, v7A
182 680.37 v15G𝄪, v6A
183 684.11 49/33, 95/64 v14G𝄪, v5A
184 687.85 64/43 v13G𝄪, v4A
185 691.59 v12G𝄪, v3A
186 695.33 v11G𝄪, vvA
187 699.07 v10G𝄪, vA
188 702.8 A
189 706.54 ^A, ^10B♭♭
190 710.28 98/65 ^^A, ^11B♭♭
191 714.02 74/49 ^3A, ^12B♭♭
192 717.76 56/37 ^4A, ^13B♭♭
193 721.5 44/29, 91/60 ^5A, ^14B♭♭
194 725.23 ^6A, ^15B♭♭
195 728.97 32/21, 99/65 ^7A, v16B♭
196 732.71 ^8A, v15B♭
197 736.45 75/49 ^9A, v14B♭
198 740.19 23/15 ^10A, v13B♭
199 743.93 63/41 ^11A, v12B♭
200 747.66 77/50 ^12A, v11B♭
201 751.4 ^13A, v10B♭
202 755.14 99/64 ^14A, v9B♭
203 758.88 31/20 ^15A, v8B♭
204 762.62 87/56 ^16A, v7B♭
205 766.36 v15A♯, v6B♭
206 770.09 v14A♯, v5B♭
207 773.83 v13A♯, v4B♭
208 777.57 47/30 v12A♯, v3B♭
209 781.31 v11A♯, vvB♭
210 785.05 v10A♯, vB♭
211 788.79 41/26 v9A♯, B♭
212 792.52 49/31 v8A♯, ^B♭
213 796.26 v7A♯, ^^B♭
214 800 v6A♯, ^3B♭
215 803.74 35/22 v5A♯, ^4B♭
216 807.48 51/32 v4A♯, ^5B♭
217 811.21 v3A♯, ^6B♭
218 814.95 vvA♯, ^7B♭
219 818.69 69/43 vA♯, ^8B♭
220 822.43 82/51 A♯, ^9B♭
221 826.17 ^A♯, ^10B♭
222 829.91 21/13 ^^A♯, ^11B♭
223 833.64 34/21 ^3A♯, ^12B♭
224 837.38 60/37 ^4A♯, ^13B♭
225 841.12 13/8 ^5A♯, ^14B♭
226 844.86 ^6A♯, ^15B♭
227 848.6 80/49 ^7A♯, v16B
228 852.34 ^8A♯, v15B
229 856.07 ^9A♯, v14B
230 859.81 23/14 ^10A♯, v13B
231 863.55 28/17 ^11A♯, v12B
232 867.29 33/20 ^12A♯, v11B
233 871.03 43/26 ^13A♯, v10B
234 874.77 58/35, 63/38 ^14A♯, v9B
235 878.5 93/56 ^15A♯, v8B
236 882.24 ^16A♯, v7B
237 885.98 v15A𝄪, v6B
238 889.72 v14A𝄪, v5B
239 893.46 62/37 v13A𝄪, v4B
240 897.2 47/28 v12A𝄪, v3B
241 900.93 69/41 v11A𝄪, vvB
242 904.67 86/51 v10A𝄪, vB
243 908.41 49/29 B
244 912.15 ^B, ^10C♭
245 915.89 56/33 ^^B, ^11C♭
246 919.63 ^3B, ^12C♭
247 923.36 75/44 ^4B, ^13C♭
248 927.1 41/24 ^5B, ^14C♭
249 930.84 ^6B, ^15C♭
250 934.58 ^7B, v16C
251 938.32 ^8B, v15C
252 942.06 ^9B, v14C
253 945.79 ^10B, v13C
254 949.53 45/26 ^11B, v12C
255 953.27 85/49 ^12B, v11C
256 957.01 ^13B, v10C
257 960.75 ^14B, v9C
258 964.49 ^15B, v8C
259 968.22 7/4 ^16B, v7C
260 971.96 v15B♯, v6C
261 975.7 58/33, 65/37 v14B♯, v5C
262 979.44 v13B♯, v4C
263 983.18 30/17 v12B♯, v3C
264 986.92 99/56 v11B♯, vvC
265 990.65 v10B♯, vC
266 994.39 87/49 C
267 998.13 ^C, ^10D♭♭
268 1001.87 66/37, 91/51 ^^C, ^11D♭♭
269 1005.61 84/47 ^3C, ^12D♭♭
270 1009.35 43/24 ^4C, ^13D♭♭
271 1013.08 88/49 ^5C, ^14D♭♭
272 1016.82 ^6C, ^15D♭♭
273 1020.56 ^7C, v16D♭
274 1024.3 56/31 ^8C, v15D♭
275 1028.04 ^9C, v14D♭
276 1031.78 ^10C, v13D♭
277 1035.51 20/11 ^11C, v12D♭
278 1039.25 82/45 ^12C, v11D♭
279 1042.99 42/23, 95/52 ^13C, v10D♭
280 1046.73 ^14C, v9D♭
281 1050.47 ^15C, v8D♭
282 1054.21 68/37 ^16C, v7D♭
283 1057.94 v15C♯, v6D♭
284 1061.68 24/13 v14C♯, v5D♭
285 1065.42 37/20, 87/47 v13C♯, v4D♭
286 1069.16 v12C♯, v3D♭
287 1072.9 v11C♯, vvD♭
288 1076.64 95/51 v10C♯, vD♭
289 1080.37 28/15 v9C♯, D♭
290 1084.11 58/31 v8C♯, ^D♭
291 1087.85 15/8 v7C♯, ^^D♭
292 1091.59 62/33 v6C♯, ^3D♭
293 1095.33 32/17 v5C♯, ^4D♭
294 1099.07 v4C♯, ^5D♭
295 1102.8 87/46 v3C♯, ^6D♭
296 1106.54 36/19 vvC♯, ^7D♭
297 1110.28 vC♯, ^8D♭
298 1114.02 78/41 C♯, ^9D♭
299 1117.76 82/43 ^C♯, ^10D♭
300 1121.5 65/34, 86/45 ^^C♯, ^11D♭
301 1125.23 90/47 ^3C♯, ^12D♭
302 1128.97 ^4C♯, ^13D♭
303 1132.71 ^5C♯, ^14D♭
304 1136.45 ^6C♯, ^15D♭
305 1140.19 85/44 ^7C♯, v16D
306 1143.93 91/47 ^8C♯, v15D
307 1147.66 ^9C♯, v14D
308 1151.4 ^10C♯, v13D
309 1155.14 76/39 ^11C♯, v12D
310 1158.88 41/21, 84/43 ^12C♯, v11D
311 1162.62 92/47 ^13C♯, v10D
312 1166.36 51/26 ^14C♯, v9D
313 1170.09 ^15C♯, v8D
314 1173.83 65/33 ^16C♯, v7D
315 1177.57 v15C𝄪, v6D
316 1181.31 91/46, 93/47, 95/48 v14C𝄪, v5D
317 1185.05 v13C𝄪, v4D
318 1188.79 v12C𝄪, v3D
319 1192.52 v11C𝄪, vvD
320 1196.26 v10C𝄪, vD
321 1200 2/1 D