Table of 321edo intervals

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Steps Cents Approximate Ratios Ups and Downs Notation
0 0 1/1 D
1 3.738 ^D, v22E♭
2 7.477 ^^D, v21E♭
3 11.215 ^3D, v20E♭
4 14.953 ^4D, v19E♭
5 18.692 91/90, 92/91, 93/92, 94/93, 95/94, 96/95 ^5D, v18E♭
6 22.43 ^6D, v17E♭
7 26.168 66/65 ^7D, v16E♭
8 29.907 ^8D, v15E♭
9 33.645 52/51 ^9D, v14E♭
10 37.383 47/46, 93/91, 95/93 ^10D, v13E♭
11 41.121 42/41, 43/42 ^11D, v12E♭
12 44.86 39/38 ^12D, v11E♭
13 48.598 ^13D, v10E♭
14 52.336 ^14D, v9E♭
15 56.075 94/91, 95/92 ^15D, v8E♭
16 59.813 88/85 ^16D, v7E♭
17 63.551 ^17D, v6E♭
18 67.29 ^18D, v5E♭
19 71.028 99/95 ^19D, v4E♭
20 74.766 47/45, 95/91 ^20D, v3E♭
21 78.505 45/43, 68/65 ^21D, vvE♭
22 82.243 43/41, 65/62 ^22D, vE♭
23 85.981 41/39 ^23D, E♭
24 89.72 99/94 ^24D, v31E
25 93.458 19/18 ^25D, v30E
26 97.196 92/87 ^26D, v29E
27 100.935 ^27D, v28E
28 104.673 17/16 ^28D, v27E
29 108.411 33/31 ^29D, v26E
30 112.15 16/15 ^30D, v25E
31 115.888 31/29 ^31D, v24E
32 119.626 15/14 D♯, v23E
33 123.364 ^D♯, v22E
34 127.103 99/92 ^^D♯, v21E
35 130.841 69/64 ^3D♯, v20E
36 134.579 40/37, 94/87 ^4D♯, v19E
37 138.318 13/12 ^5D♯, v18E
38 142.056 ^6D♯, v17E
39 145.794 37/34, 87/80, 99/91 ^7D♯, v16E
40 149.533 ^8D♯, v15E
41 153.271 ^9D♯, v14E
42 157.009 23/21 ^10D♯, v13E
43 160.748 45/41 ^11D♯, v12E
44 164.486 11/10 ^12D♯, v11E
45 168.224 ^13D♯, v10E
46 171.963 95/86 ^14D♯, v9E
47 175.701 31/28 ^15D♯, v8E
48 179.439 ^16D♯, v7E
49 183.178 ^17D♯, v6E
50 186.916 49/44 ^18D♯, v5E
51 190.654 48/43 ^19D♯, v4E
52 194.393 47/42 ^20D♯, v3E
53 198.131 37/33 ^21D♯, vvE
54 201.869 ^22D♯, vE
55 205.607 98/87 E
56 209.346 ^E, v22F
57 213.084 95/84 ^^E, v21F
58 216.822 17/15 ^3E, v20F
59 220.561 ^4E, v19F
60 224.299 33/29, 74/65 ^5E, v18F
61 228.037 ^6E, v17F
62 231.776 8/7 ^7E, v16F
63 235.514 ^8E, v15F
64 239.252 ^9E, v14F
65 242.991 ^10E, v13F
66 246.729 98/85 ^11E, v12F
67 250.467 52/45 ^12E, v11F
68 254.206 95/82 ^13E, v10F
69 257.944 65/56 ^14E, v9F
70 261.682 ^15E, v8F
71 265.421 ^16E, v7F
72 269.159 ^17E, v6F
73 272.897 48/41 ^18E, v5F
74 276.636 88/75 ^19E, v4F
75 280.374 87/74 ^20E, v3F
76 284.112 33/28 ^21E, vvF
77 287.85 ^22E, vF
78 291.589 58/49 F
79 295.327 51/43 ^F, v22G♭
80 299.065 82/69 ^^F, v21G♭
81 302.804 56/47 ^3F, v20G♭
82 306.542 37/31 ^4F, v19G♭
83 310.28 ^5F, v18G♭
84 314.019 ^6F, v17G♭
85 317.757 ^7F, v16G♭
86 321.495 ^8F, v15G♭
87 325.234 35/29, 76/63 ^9F, v14G♭
88 328.972 52/43, 75/62 ^10F, v13G♭
89 332.71 40/33, 63/52 ^11F, v12G♭
90 336.449 17/14 ^12F, v11G♭
91 340.187 28/23 ^13F, v10G♭
92 343.925 ^14F, v9G♭
93 347.664 ^15F, v8G♭
94 351.402 49/40 ^16F, v7G♭
95 355.14 ^17F, v6G♭
96 358.879 16/13 ^18F, v5G♭
97 362.617 37/30 ^19F, v4G♭
98 366.355 21/17 ^20F, v3G♭
99 370.093 26/21 ^21F, vvG♭
100 373.832 ^22F, vG♭
101 377.57 51/41 ^23F, G♭
102 381.308 86/69 ^24F, v31G
103 385.047 ^25F, v30G
104 388.785 ^26F, v29G
105 392.523 64/51 ^27F, v28G
106 396.262 44/35, 93/74 ^28F, v27G
107 400 ^29F, v26G
108 403.738 ^30F, v25G
109 407.477 62/49 ^31F, v24G
110 411.215 52/41 F♯, v23G
111 414.953 ^F♯, v22G
112 418.692 ^^F♯, v21G
113 422.43 60/47 ^3F♯, v20G
114 426.168 87/68 ^4F♯, v19G
115 429.907 ^5F♯, v18G
116 433.645 ^6F♯, v17G
117 437.383 85/66 ^7F♯, v16G
118 441.121 40/31 ^8F♯, v15G
119 444.86 75/58 ^9F♯, v14G
120 448.598 ^10F♯, v13G
121 452.336 100/77 ^11F♯, v12G
122 456.075 82/63 ^12F♯, v11G
123 459.813 30/23 ^13F♯, v10G
124 463.551 98/75 ^14F♯, v9G
125 467.29 ^15F♯, v8G
126 471.028 21/16 ^16F♯, v7G
127 474.766 ^17F♯, v6G
128 478.505 29/22, 91/69 ^18F♯, v5G
129 482.243 37/28 ^19F♯, v4G
130 485.981 49/37 ^20F♯, v3G
131 489.72 65/49, 69/52 ^21F♯, vvG
132 493.458 ^22F♯, vG
133 497.196 G
134 500.935 ^G, v22A♭
135 504.673 87/65, 91/68 ^^G, v21A♭
136 508.411 ^3G, v20A♭
137 512.15 43/32 ^4G, v19A♭
138 515.888 66/49 ^5G, v18A♭
139 519.626 ^6G, v17A♭
140 523.364 23/17 ^7G, v16A♭
141 527.103 ^8G, v15A♭
142 530.841 ^9G, v14A♭
143 534.579 64/47 ^10G, v13A♭
144 538.318 86/63 ^11G, v12A♭
145 542.056 93/68 ^12G, v11A♭
146 545.794 85/62 ^13G, v10A♭
147 549.533 ^14G, v9A♭
148 553.271 95/69 ^15G, v8A♭
149 557.009 40/29 ^16G, v7A♭
150 560.748 47/34, 65/47 ^17G, v6A♭
151 564.486 ^18G, v5A♭
152 568.224 ^19G, v4A♭
153 571.963 32/23 ^20G, v3A♭
154 575.701 ^21G, vvA♭
155 579.439 95/68 ^22G, vA♭
156 583.178 ^23G, A♭
157 586.916 87/62 ^24G, v31A
158 590.654 45/32 ^25G, v30A
159 594.393 ^26G, v29A
160 598.131 65/46 ^27G, v28A
161 601.869 92/65 ^28G, v27A
162 605.607 ^29G, v26A
163 609.346 64/45, 91/64 ^30G, v25A
164 613.084 ^31G, v24A
165 616.822 G♯, v23A
166 620.561 93/65 ^G♯, v22A
167 624.299 ^^G♯, v21A
168 628.037 23/16 ^3G♯, v20A
169 631.776 ^4G♯, v19A
170 635.514 ^5G♯, v18A
171 639.252 68/47, 94/65 ^6G♯, v17A
172 642.991 29/20 ^7G♯, v16A
173 646.729 93/64 ^8G♯, v15A
174 650.467 99/68 ^9G♯, v14A
175 654.206 ^10G♯, v13A
176 657.944 ^11G♯, v12A
177 661.682 63/43, 85/58 ^12G♯, v11A
178 665.421 47/32 ^13G♯, v10A
179 669.159 ^14G♯, v9A
180 672.897 ^15G♯, v8A
181 676.636 34/23 ^16G♯, v7A
182 680.374 ^17G♯, v6A
183 684.112 49/33, 95/64 ^18G♯, v5A
184 687.85 64/43 ^19G♯, v4A
185 691.589 ^20G♯, v3A
186 695.327 ^21G♯, vvA
187 699.065 ^22G♯, vA
188 702.804 A
189 706.542 ^A, v22B♭
190 710.28 98/65 ^^A, v21B♭
191 714.019 74/49 ^3A, v20B♭
192 717.757 56/37 ^4A, v19B♭
193 721.495 44/29, 91/60 ^5A, v18B♭
194 725.234 ^6A, v17B♭
195 728.972 32/21, 99/65 ^7A, v16B♭
196 732.71 ^8A, v15B♭
197 736.449 75/49 ^9A, v14B♭
198 740.187 23/15 ^10A, v13B♭
199 743.925 63/41 ^11A, v12B♭
200 747.664 77/50 ^12A, v11B♭
201 751.402 ^13A, v10B♭
202 755.14 99/64 ^14A, v9B♭
203 758.879 31/20 ^15A, v8B♭
204 762.617 87/56 ^16A, v7B♭
205 766.355 ^17A, v6B♭
206 770.093 ^18A, v5B♭
207 773.832 ^19A, v4B♭
208 777.57 47/30 ^20A, v3B♭
209 781.308 ^21A, vvB♭
210 785.047 ^22A, vB♭
211 788.785 41/26 ^23A, B♭
212 792.523 49/31 ^24A, v31B
213 796.262 ^25A, v30B
214 800 ^26A, v29B
215 803.738 35/22 ^27A, v28B
216 807.477 51/32 ^28A, v27B
217 811.215 ^29A, v26B
218 814.953 ^30A, v25B
219 818.692 69/43 ^31A, v24B
220 822.43 82/51 A♯, v23B
221 826.168 ^A♯, v22B
222 829.907 21/13 ^^A♯, v21B
223 833.645 34/21 ^3A♯, v20B
224 837.383 60/37 ^4A♯, v19B
225 841.121 13/8 ^5A♯, v18B
226 844.86 ^6A♯, v17B
227 848.598 80/49 ^7A♯, v16B
228 852.336 ^8A♯, v15B
229 856.075 ^9A♯, v14B
230 859.813 23/14 ^10A♯, v13B
231 863.551 28/17 ^11A♯, v12B
232 867.29 33/20 ^12A♯, v11B
233 871.028 43/26 ^13A♯, v10B
234 874.766 58/35, 63/38 ^14A♯, v9B
235 878.505 93/56 ^15A♯, v8B
236 882.243 ^16A♯, v7B
237 885.981 ^17A♯, v6B
238 889.72 ^18A♯, v5B
239 893.458 62/37 ^19A♯, v4B
240 897.196 47/28 ^20A♯, v3B
241 900.935 69/41 ^21A♯, vvB
242 904.673 86/51 ^22A♯, vB
243 908.411 49/29 B
244 912.15 ^B, v22C
245 915.888 56/33 ^^B, v21C
246 919.626 ^3B, v20C
247 923.364 75/44 ^4B, v19C
248 927.103 41/24 ^5B, v18C
249 930.841 ^6B, v17C
250 934.579 ^7B, v16C
251 938.318 ^8B, v15C
252 942.056 ^9B, v14C
253 945.794 ^10B, v13C
254 949.533 45/26 ^11B, v12C
255 953.271 85/49 ^12B, v11C
256 957.009 ^13B, v10C
257 960.748 ^14B, v9C
258 964.486 ^15B, v8C
259 968.224 7/4 ^16B, v7C
260 971.963 ^17B, v6C
261 975.701 58/33, 65/37 ^18B, v5C
262 979.439 ^19B, v4C
263 983.178 30/17 ^20B, v3C
264 986.916 99/56 ^21B, vvC
265 990.654 ^22B, vC
266 994.393 87/49 C
267 998.131 ^C, v22D♭
268 1001.869 66/37, 91/51 ^^C, v21D♭
269 1005.607 84/47 ^3C, v20D♭
270 1009.346 43/24 ^4C, v19D♭
271 1013.084 88/49 ^5C, v18D♭
272 1016.822 ^6C, v17D♭
273 1020.561 ^7C, v16D♭
274 1024.299 56/31 ^8C, v15D♭
275 1028.037 ^9C, v14D♭
276 1031.776 ^10C, v13D♭
277 1035.514 20/11 ^11C, v12D♭
278 1039.252 82/45 ^12C, v11D♭
279 1042.991 42/23, 95/52 ^13C, v10D♭
280 1046.729 ^14C, v9D♭
281 1050.467 ^15C, v8D♭
282 1054.206 68/37 ^16C, v7D♭
283 1057.944 ^17C, v6D♭
284 1061.682 24/13 ^18C, v5D♭
285 1065.421 37/20, 87/47 ^19C, v4D♭
286 1069.159 ^20C, v3D♭
287 1072.897 ^21C, vvD♭
288 1076.636 95/51 ^22C, vD♭
289 1080.374 28/15 ^23C, D♭
290 1084.112 58/31 ^24C, v31D
291 1087.85 15/8 ^25C, v30D
292 1091.589 62/33 ^26C, v29D
293 1095.327 32/17 ^27C, v28D
294 1099.065 ^28C, v27D
295 1102.804 87/46 ^29C, v26D
296 1106.542 36/19 ^30C, v25D
297 1110.28 ^31C, v24D
298 1114.019 78/41 C♯, v23D
299 1117.757 82/43 ^C♯, v22D
300 1121.495 65/34, 86/45 ^^C♯, v21D
301 1125.234 90/47 ^3C♯, v20D
302 1128.972 ^4C♯, v19D
303 1132.71 ^5C♯, v18D
304 1136.449 ^6C♯, v17D
305 1140.187 85/44 ^7C♯, v16D
306 1143.925 91/47 ^8C♯, v15D
307 1147.664 ^9C♯, v14D
308 1151.402 ^10C♯, v13D
309 1155.14 76/39 ^11C♯, v12D
310 1158.879 41/21, 84/43 ^12C♯, v11D
311 1162.617 92/47 ^13C♯, v10D
312 1166.355 51/26 ^14C♯, v9D
313 1170.093 ^15C♯, v8D
314 1173.832 65/33 ^16C♯, v7D
315 1177.57 ^17C♯, v6D
316 1181.308 91/46, 93/47, 95/48 ^18C♯, v5D
317 1185.047 ^19C♯, v4D
318 1188.785 ^20C♯, v3D
319 1192.523 ^21C♯, vvD
320 1196.262 ^22C♯, vD
321 1200 2/1 D