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 |