Table of 321edo intervals
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Steps | Cents | Ups and downs notation | Approximate ratios |
---|---|---|---|
0 | 0 | D | 1/1 |
1 | 3.73832 | ^D, v22E♭ | |
2 | 7.47664 | ^^D, v21E♭ | |
3 | 11.215 | ^3D, v20E♭ | |
4 | 14.9533 | ^4D, v19E♭ | |
5 | 18.6916 | ^5D, v18E♭ | |
6 | 22.4299 | ^6D, v17E♭ | |
7 | 26.1682 | ^7D, v16E♭ | 64/63, 65/64, 66/65 |
8 | 29.9065 | ^8D, v15E♭ | |
9 | 33.6449 | ^9D, v14E♭ | 50/49 |
10 | 37.3832 | ^10D, v13E♭ | |
11 | 41.1215 | ^11D, v12E♭ | |
12 | 44.8598 | ^12D, v11E♭ | 77/75 |
13 | 48.5981 | ^13D, v10E♭ | |
14 | 52.3364 | ^14D, v9E♭ | 33/32 |
15 | 56.0748 | ^15D, v8E♭ | |
16 | 59.8131 | ^16D, v7E♭ | |
17 | 63.5514 | ^17D, v6E♭ | |
18 | 67.2897 | ^18D, v5E♭ | 80/77 |
19 | 71.028 | ^19D, v4E♭ | |
20 | 74.7664 | ^20D, v3E♭ | |
21 | 78.5047 | ^21D, vvE♭ | |
22 | 82.243 | ^22D, vE♭ | |
23 | 85.9813 | ^23D, E♭ | |
24 | 89.7196 | ^24D, v31E | |
25 | 93.4579 | ^25D, v30E | |
26 | 97.1963 | ^26D, v29E | |
27 | 100.935 | ^27D, v28E | 35/33 |
28 | 104.673 | ^28D, v27E | |
29 | 108.411 | ^29D, v26E | |
30 | 112.15 | ^30D, v25E | 16/15 |
31 | 115.888 | ^31D, v24E | |
32 | 119.626 | D♯, v23E | 15/14 |
33 | 123.364 | ^D♯, v22E | |
34 | 127.103 | ^^D♯, v21E | 14/13 |
35 | 130.841 | ^3D♯, v20E | |
36 | 134.579 | ^4D♯, v19E | |
37 | 138.318 | ^5D♯, v18E | 13/12 |
38 | 142.056 | ^6D♯, v17E | |
39 | 145.794 | ^7D♯, v16E | |
40 | 149.533 | ^8D♯, v15E | |
41 | 153.271 | ^9D♯, v14E | |
42 | 157.009 | ^10D♯, v13E | |
43 | 160.748 | ^11D♯, v12E | |
44 | 164.486 | ^12D♯, v11E | 11/10 |
45 | 168.224 | ^13D♯, v10E | |
46 | 171.963 | ^14D♯, v9E | |
47 | 175.701 | ^15D♯, v8E | |
48 | 179.439 | ^16D♯, v7E | |
49 | 183.178 | ^17D♯, v6E | |
50 | 186.916 | ^18D♯, v5E | 49/44 |
51 | 190.654 | ^19D♯, v4E | |
52 | 194.393 | ^20D♯, v3E | |
53 | 198.131 | ^21D♯, vvE | |
54 | 201.869 | ^22D♯, vE | |
55 | 205.607 | E | |
56 | 209.346 | ^E, v22F | |
57 | 213.084 | ^^E, v21F | |
58 | 216.822 | ^3E, v20F | |
59 | 220.561 | ^4E, v19F | 25/22 |
60 | 224.299 | ^5E, v18F | |
61 | 228.037 | ^6E, v17F | |
62 | 231.776 | ^7E, v16F | 8/7 |
63 | 235.514 | ^8E, v15F | |
64 | 239.252 | ^9E, v14F | |
65 | 242.991 | ^10E, v13F | |
66 | 246.729 | ^11E, v12F | 15/13 |
67 | 250.467 | ^12E, v11F | 52/45 |
68 | 254.206 | ^13E, v10F | |
69 | 257.944 | ^14E, v9F | 65/56 |
70 | 261.682 | ^15E, v8F | |
71 | 265.421 | ^16E, v7F | 7/6 |
72 | 269.159 | ^17E, v6F | |
73 | 272.897 | ^18E, v5F | |
74 | 276.636 | ^19E, v4F | |
75 | 280.374 | ^20E, v3F | |
76 | 284.112 | ^21E, vvF | 33/28 |
77 | 287.85 | ^22E, vF | |
78 | 291.589 | F | |
79 | 295.327 | ^F, v22G♭ | |
80 | 299.065 | ^^F, v21G♭ | |
81 | 302.804 | ^3F, v20G♭ | |
82 | 306.542 | ^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 | ^9F, v14G♭ | |
88 | 328.972 | ^10F, v13G♭ | |
89 | 332.71 | ^11F, v12G♭ | 40/33, 63/52 |
90 | 336.449 | ^12F, v11G♭ | |
91 | 340.187 | ^13F, v10G♭ | |
92 | 343.925 | ^14F, v9G♭ | 39/32 |
93 | 347.664 | ^15F, v8G♭ | |
94 | 351.402 | ^16F, v7G♭ | 49/40, 60/49 |
95 | 355.14 | ^17F, v6G♭ | |
96 | 358.879 | ^18F, v5G♭ | 16/13 |
97 | 362.617 | ^19F, v4G♭ | |
98 | 366.355 | ^20F, v3G♭ | |
99 | 370.093 | ^21F, vvG♭ | 26/21 |
100 | 373.832 | ^22F, vG♭ | |
101 | 377.57 | ^23F, G♭ | 56/45 |
102 | 381.308 | ^24F, v31G | |
103 | 385.047 | ^25F, v30G | 5/4 |
104 | 388.785 | ^26F, v29G | |
105 | 392.523 | ^27F, v28G | |
106 | 396.262 | ^28F, v27G | 44/35 |
107 | 400 | ^29F, v26G | |
108 | 403.738 | ^30F, v25G | |
109 | 407.477 | ^31F, v24G | |
110 | 411.215 | F♯, v23G | |
111 | 414.953 | ^F♯, v22G | |
112 | 418.692 | ^^F♯, v21G | 14/11 |
113 | 422.43 | ^3F♯, v20G | |
114 | 426.168 | ^4F♯, v19G | |
115 | 429.907 | ^5F♯, v18G | |
116 | 433.645 | ^6F♯, v17G | |
117 | 437.383 | ^7F♯, v16G | |
118 | 441.121 | ^8F♯, v15G | |
119 | 444.86 | ^9F♯, v14G | |
120 | 448.598 | ^10F♯, v13G | |
121 | 452.336 | ^11F♯, v12G | |
122 | 456.075 | ^12F♯, v11G | |
123 | 459.813 | ^13F♯, v10G | |
124 | 463.551 | ^14F♯, v9G | 64/49 |
125 | 467.29 | ^15F♯, v8G | |
126 | 471.028 | ^16F♯, v7G | 21/16 |
127 | 474.766 | ^17F♯, v6G | |
128 | 478.505 | ^18F♯, v5G | |
129 | 482.243 | ^19F♯, v4G | |
130 | 485.981 | ^20F♯, v3G | |
131 | 489.72 | ^21F♯, vvG | 65/49 |
132 | 493.458 | ^22F♯, vG | |
133 | 497.196 | G | 4/3 |
134 | 500.935 | ^G, v22A♭ | |
135 | 504.673 | ^^G, v21A♭ | 75/56 |
136 | 508.411 | ^3G, v20A♭ | |
137 | 512.15 | ^4G, v19A♭ | |
138 | 515.888 | ^5G, v18A♭ | 66/49 |
139 | 519.626 | ^6G, v17A♭ | |
140 | 523.364 | ^7G, v16A♭ | |
141 | 527.103 | ^8G, v15A♭ | |
142 | 530.841 | ^9G, v14A♭ | |
143 | 534.579 | ^10G, v13A♭ | |
144 | 538.318 | ^11G, v12A♭ | 15/11 |
145 | 542.056 | ^12G, v11A♭ | |
146 | 545.794 | ^13G, v10A♭ | |
147 | 549.533 | ^14G, v9A♭ | |
148 | 553.271 | ^15G, v8A♭ | |
149 | 557.009 | ^16G, v7A♭ | |
150 | 560.748 | ^17G, v6A♭ | |
151 | 564.486 | ^18G, v5A♭ | 18/13 |
152 | 568.224 | ^19G, v4A♭ | |
153 | 571.963 | ^20G, v3A♭ | |
154 | 575.701 | ^21G, vvA♭ | |
155 | 579.439 | ^22G, vA♭ | |
156 | 583.178 | ^23G, A♭ | 7/5 |
157 | 586.916 | ^24G, v31A | |
158 | 590.654 | ^25G, v30A | 45/32 |
159 | 594.393 | ^26G, v29A | |
160 | 598.131 | ^27G, v28A | |
161 | 601.869 | ^28G, v27A | |
162 | 605.607 | ^29G, v26A | |
163 | 609.346 | ^30G, v25A | 64/45 |
164 | 613.084 | ^31G, v24A | |
165 | 616.822 | G♯, v23A | 10/7 |
166 | 620.561 | ^G♯, v22A | |
167 | 624.299 | ^^G♯, v21A | |
168 | 628.037 | ^3G♯, v20A | |
169 | 631.776 | ^4G♯, v19A | |
170 | 635.514 | ^5G♯, v18A | 13/9 |
171 | 639.252 | ^6G♯, v17A | |
172 | 642.991 | ^7G♯, v16A | |
173 | 646.729 | ^8G♯, v15A | |
174 | 650.467 | ^9G♯, v14A | |
175 | 654.206 | ^10G♯, v13A | |
176 | 657.944 | ^11G♯, v12A | |
177 | 661.682 | ^12G♯, v11A | 22/15 |
178 | 665.421 | ^13G♯, v10A | |
179 | 669.159 | ^14G♯, v9A | |
180 | 672.897 | ^15G♯, v8A | |
181 | 676.636 | ^16G♯, v7A | 65/44 |
182 | 680.374 | ^17G♯, v6A | |
183 | 684.112 | ^18G♯, v5A | 49/33 |
184 | 687.85 | ^19G♯, v4A | |
185 | 691.589 | ^20G♯, v3A | |
186 | 695.327 | ^21G♯, vvA | |
187 | 699.065 | ^22G♯, vA | |
188 | 702.804 | A | 3/2 |
189 | 706.542 | ^A, v22B♭ | |
190 | 710.28 | ^^A, v21B♭ | |
191 | 714.019 | ^3A, v20B♭ | |
192 | 717.757 | ^4A, v19B♭ | |
193 | 721.495 | ^5A, v18B♭ | |
194 | 725.234 | ^6A, v17B♭ | |
195 | 728.972 | ^7A, v16B♭ | 32/21 |
196 | 732.71 | ^8A, v15B♭ | |
197 | 736.449 | ^9A, v14B♭ | 49/32, 75/49 |
198 | 740.187 | ^10A, v13B♭ | |
199 | 743.925 | ^11A, v12B♭ | |
200 | 747.664 | ^12A, v11B♭ | 77/50 |
201 | 751.402 | ^13A, v10B♭ | |
202 | 755.14 | ^14A, v9B♭ | 65/42 |
203 | 758.879 | ^15A, v8B♭ | |
204 | 762.617 | ^16A, v7B♭ | |
205 | 766.355 | ^17A, v6B♭ | |
206 | 770.093 | ^18A, v5B♭ | |
207 | 773.832 | ^19A, v4B♭ | |
208 | 777.57 | ^20A, v3B♭ | |
209 | 781.308 | ^21A, vvB♭ | 11/7 |
210 | 785.047 | ^22A, vB♭ | |
211 | 788.785 | ^23A, B♭ | |
212 | 792.523 | ^24A, v31B | |
213 | 796.262 | ^25A, v30B | |
214 | 800 | ^26A, v29B | |
215 | 803.738 | ^27A, v28B | 35/22 |
216 | 807.477 | ^28A, v27B | |
217 | 811.215 | ^29A, v26B | |
218 | 814.953 | ^30A, v25B | 8/5 |
219 | 818.692 | ^31A, v24B | |
220 | 822.43 | A♯, v23B | 45/28 |
221 | 826.168 | ^A♯, v22B | |
222 | 829.907 | ^^A♯, v21B | 21/13 |
223 | 833.645 | ^3A♯, v20B | |
224 | 837.383 | ^4A♯, v19B | |
225 | 841.121 | ^5A♯, v18B | 13/8 |
226 | 844.86 | ^6A♯, v17B | |
227 | 848.598 | ^7A♯, v16B | 49/30, 80/49 |
228 | 852.336 | ^8A♯, v15B | |
229 | 856.075 | ^9A♯, v14B | 64/39 |
230 | 859.813 | ^10A♯, v13B | |
231 | 863.551 | ^11A♯, v12B | |
232 | 867.29 | ^12A♯, v11B | 33/20 |
233 | 871.028 | ^13A♯, v10B | |
234 | 874.766 | ^14A♯, v9B | |
235 | 878.505 | ^15A♯, v8B | |
236 | 882.243 | ^16A♯, v7B | |
237 | 885.981 | ^17A♯, v6B | |
238 | 889.72 | ^18A♯, v5B | |
239 | 893.458 | ^19A♯, v4B | |
240 | 897.196 | ^20A♯, v3B | |
241 | 900.935 | ^21A♯, vvB | |
242 | 904.673 | ^22A♯, vB | |
243 | 908.411 | B | |
244 | 912.15 | ^B, v22C | |
245 | 915.888 | ^^B, v21C | 56/33 |
246 | 919.626 | ^3B, v20C | |
247 | 923.364 | ^4B, v19C | 75/44 |
248 | 927.103 | ^5B, v18C | |
249 | 930.841 | ^6B, v17C | |
250 | 934.579 | ^7B, v16C | 12/7 |
251 | 938.318 | ^8B, v15C | |
252 | 942.056 | ^9B, v14C | |
253 | 945.794 | ^10B, v13C | |
254 | 949.533 | ^11B, v12C | 45/26 |
255 | 953.271 | ^12B, v11C | 26/15 |
256 | 957.009 | ^13B, v10C | |
257 | 960.748 | ^14B, v9C | |
258 | 964.486 | ^15B, v8C | |
259 | 968.224 | ^16B, v7C | 7/4 |
260 | 971.963 | ^17B, v6C | |
261 | 975.701 | ^18B, v5C | |
262 | 979.439 | ^19B, v4C | 44/25 |
263 | 983.178 | ^20B, v3C | |
264 | 986.916 | ^21B, vvC | |
265 | 990.654 | ^22B, vC | |
266 | 994.393 | C | |
267 | 998.131 | ^C, v22D♭ | |
268 | 1001.87 | ^^C, v21D♭ | |
269 | 1005.61 | ^3C, v20D♭ | |
270 | 1009.35 | ^4C, v19D♭ | |
271 | 1013.08 | ^5C, v18D♭ | |
272 | 1016.82 | ^6C, v17D♭ | |
273 | 1020.56 | ^7C, v16D♭ | |
274 | 1024.3 | ^8C, v15D♭ | |
275 | 1028.04 | ^9C, v14D♭ | |
276 | 1031.78 | ^10C, v13D♭ | |
277 | 1035.51 | ^11C, v12D♭ | 20/11 |
278 | 1039.25 | ^12C, v11D♭ | |
279 | 1042.99 | ^13C, v10D♭ | |
280 | 1046.73 | ^14C, v9D♭ | |
281 | 1050.47 | ^15C, v8D♭ | |
282 | 1054.21 | ^16C, v7D♭ | |
283 | 1057.94 | ^17C, v6D♭ | |
284 | 1061.68 | ^18C, v5D♭ | 24/13 |
285 | 1065.42 | ^19C, v4D♭ | |
286 | 1069.16 | ^20C, v3D♭ | |
287 | 1072.9 | ^21C, vvD♭ | 13/7 |
288 | 1076.64 | ^22C, vD♭ | |
289 | 1080.37 | ^23C, D♭ | 28/15 |
290 | 1084.11 | ^24C, v31D | |
291 | 1087.85 | ^25C, v30D | 15/8 |
292 | 1091.59 | ^26C, v29D | |
293 | 1095.33 | ^27C, v28D | |
294 | 1099.07 | ^28C, v27D | 66/35 |
295 | 1102.8 | ^29C, v26D | |
296 | 1106.54 | ^30C, v25D | |
297 | 1110.28 | ^31C, v24D | |
298 | 1114.02 | C♯, v23D | |
299 | 1117.76 | ^C♯, v22D | |
300 | 1121.5 | ^^C♯, v21D | |
301 | 1125.23 | ^3C♯, v20D | |
302 | 1128.97 | ^4C♯, v19D | |
303 | 1132.71 | ^5C♯, v18D | 77/40 |
304 | 1136.45 | ^6C♯, v17D | |
305 | 1140.19 | ^7C♯, v16D | |
306 | 1143.93 | ^8C♯, v15D | |
307 | 1147.66 | ^9C♯, v14D | 64/33 |
308 | 1151.4 | ^10C♯, v13D | |
309 | 1155.14 | ^11C♯, v12D | |
310 | 1158.88 | ^12C♯, v11D | |
311 | 1162.62 | ^13C♯, v10D | |
312 | 1166.36 | ^14C♯, v9D | 49/25 |
313 | 1170.09 | ^15C♯, v8D | |
314 | 1173.83 | ^16C♯, v7D | 63/32, 65/33 |
315 | 1177.57 | ^17C♯, v6D | |
316 | 1181.31 | ^18C♯, v5D | |
317 | 1185.05 | ^19C♯, v4D | |
318 | 1188.79 | ^20C♯, v3D | |
319 | 1192.52 | ^21C♯, vvD | |
320 | 1196.26 | ^22C♯, vD | |
321 | 1200 | D | 2/1 |