Table of 431edo intervals: Difference between revisions

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This '''table of 431edo intervals''' assumes [[13-limit]] [[patent val]] {{val|431 683 1001 1210 1491 1595}} of [[431edo]].
This '''table of 431edo intervals''' assumes the [[13-limit]] [[patent val]] {{val|431 683 1001 1210 1491 1595}} of [[431edo]].


Intervals highlighted in '''bold''' are prime harmonics or subharmonics. Intervals that differ from their assigned steps by more than 50%, but no more than 100%, are shown in italic. Intervals that differ by more than 100% are not shown. For clarity, an entry can contain multiple intervals if they are of comparable complexity.
Intervals highlighted in '''bold''' are prime harmonics or subharmonics. Intervals that differ from their assigned steps by more than 50%, but no more than 100%, are shown in italic. Intervals that differ by more than 100% are not shown. For clarity, an entry can contain multiple intervals if they are of comparable complexity.


{| class="wikitable center-1 right-2 center-3"
{| class="wikitable center-1 right-2 center-3"
|-
! Degree  
! Degree  
! Cents  
! Cents  

Revision as of 01:15, 25 February 2025

This table of 431edo intervals assumes the 13-limit patent val ⟨431 683 1001 1210 1491 1595] of 431edo.

Intervals highlighted in bold are prime harmonics or subharmonics. Intervals that differ from their assigned steps by more than 50%, but no more than 100%, are shown in italic. Intervals that differ by more than 100% are not shown. For clarity, an entry can contain multiple intervals if they are of comparable complexity.

Degree Cents Marks 5-limit 7-limit 11-limit 13-limit
0 0.000 P1 1/1
1 2.784
2 5.568
3 8.353
4 11.137
5 13.921
6 16.705
7 19.490
8 22.274
9 25.058
10 27.842 64/63
11 30.626
12 33.411
13 36.395 49/48
14 38.979
15 41.763 128/125
16 44.548 40/39
17 47.332
18 50.116 36/35
19 52.900 33/32
20 55.684
21 58.469
22 61.253
23 64.037 28/27
24 66.821
25 69.606 25/24
26 72.390
27 75.174 256/245
28 77.958
29 80.742 22/21
30 83.527 21/20
31 86.311
32 89.095 m2 256/243
33 91.879 135/128
34 94.664
35 97.448 128/121
36 100.232
37 103.016
38 105.800
39 108.585
40 111.370 16/15 273/256
41 114.153
42 116.937
43 119.722 15/14
44 122.506
45 125.290 275/256
46 128.074 14/13
47 130.858
48 133.643
49 136.427
50 139.211 13/12
51 141.995
52 144.780
53 147.564
54 150.348 12/11
55 153.132
56 155.916 55/32 128/117
57 158.701
58 161.485
59 164.269 11/10
60 167.053
61 169.838
62 172.622
63 175.406
64 178.190 256/231
65 180.974
66 183.759 10/9
67 186.543
68 189.327
69 192.111 143/128
70 194.900 28/25
71 197.680
72 200.464
73 203.248 M2 9/8
74 206.032
75 208.817
76 211.601
77 214.385
78 217.169
79 219.954 25/22
80 222.738 256/225
81 225.522
82 228.306
83 231.090 8/7
84 233.875
85 236.659 55/48
86 239.443 147/128
87 242.227
88 245.012
89 247.796 15/13
90 250.580
91 253.364
92 256.148 297/256
93 258.933
94 261.717 64/55
95 264.501
96 267.285 7/6
97 270.070
98 272.854
99 275.638 75/64
100 278.422
101 281.206
102 283.991 33/28
103 286.775
104 289.559 13/11
105 292.343
106 295.128 m3 32/27
107 297.912
108 300.696
109 303.480
110 306.265
111 309.049
112 311.833
113 314.617 6/5
114 317.401
115 320.186 77/64
116 322.970
117 325.754
118 328.528
119 331.323
120 334.107 40/33
121 336.891
122 339.675
123 342.459 39/32
124 345.244
125 348.028 11/9
126 350.812 49/40
127 353.596 27/22
128 356.381
129 359.165 315/256 16/13
130 361.949
131 364.733
132 367.517
133 370.302 26/21
134 373.086
135 375.870
136 378.654 56/45
137 381.439 96/77
138 384.223
139 387.007 5/4
140 389.791
141 392.575
142 395.360
143 398.144
144 400.928
145 403.712
146 406.497 M3 81/64
147 409.281
148 412.065
149 414.849 80/63
150 417.633 14/11
151 420.418
152 423.202
153 425.986 32/25
154 428.770
155 431.555
156 434.339 9/7
157 437.123
158 439.907 165/128
159 442.691
160 445.476 128/99
161 448.260
162 451.044
163 453.828 13/10
164 456.613
165 459.397
166 462.181 64/49
167 464.965
168 467.749
169 470.534 21/16
170 473.318
171 476.102
172 478.886
173 481.671 169/128
174 484.455
175 487.239
176 490.023
177 492.807
178 495.592
179 498.375 P4 4/3
180 501.160
181 503.944
182 506.729
183 509.513
184 512.297
185 515.081
186 517.865
187 520.650 27/20
188 523.434
189 526.218 256/189
190 529.002
191 531.787
192 534.571
193 537.355 15/11
194 540.139 175/128
195 542.923
196 545.708 48/35
197 548.492
198 551.276 11/8
199 554.060
200 556.845
201 559.629
202 562.413 18/13
203 565.197
204 567.981 25/18
205 570.766
206 573.550 39/28
207 576.334
208 579.118
209 581.903 7/5
210 584.687
211 587.471
212 590.255 d5 45/32
213 593.039
214 595.824
215 598.608
216 601.392
217 604.176
218 606.961
219 609.745 A4 64/45
220 612.529
221 615.313
222 618.097 10/7
223 620.882
224 623.666
225 626.450 56/39
226 629.234
227 632.019 36/25
228 634.803
229 637.587 13/9
230 640.371
231 643.155
232 645.940
233 648.724 16/11
234 651.508
235 654.292 35/24
236 657.077
237 659.861 256/175
238 662.645 22/15
239 665.429
240 668.213
241 671.000
242 673.782 189/128
243 676.566
244 679.350 40/27
245 682.135
246 684.919
247 687.703
248 690.487
249 693.271
250 696.056
251 698.840
252 701.624 P5 3/2
253 704.408
254 707.193
255 709.977
256 712.761
257 715.545
258 718.329 256/169
259 721.114
260 723.898
261 726.682
262 729.466 32/21
263 732.251
264 735.035
265 737.819 49/32
266 740.603
267 743.387
268 746.172 20/13
269 748.956
270 751.740
271 754.524 99/64
272 757.309
273 760.093 265/165
274 762.877
275 765.661 14/9
276 768.445
277 771.230
278 774.014 25/16
279 776.798
280 779.582
281 782.367 11/7
282 785.151 63/40
283 787.935
284 790.719
285 793.503 m6 128/81
286 796.288
287 799.072
288 801.856
289 804.640
290 807.425
291 810.209
292 812.993 8/5
293 815.777
294 818.561 77/48
295 821.346 45/28
296 824.130
297 826.914
298 829.698 21/13
299 832.483
300 835.267
301 838.051
302 840.835 512/315 13/8
303 843.619
304 846.404 44/27
305 849.188 80/49
306 851.972 18/11
307 854.756
308 857.541 64/39
309 860.325
310 863.109
311 865.893 33/20
312 868.677
313 871.462
314 874.246
315 877.030
316 879.814 128/77
317 882.599
318 885.383 5/3
319 888.167
320 890.951
321 893.735
322 896.520
323 899.304
324 902.088
325 904.872 M6 27/16
326 907.657
327 910.441 22/13
328 913.225
329 916.009 56/33
330 918.794
331 921.578
332 924.362 128/75
333 927.146
334 929.930
335 932.715 12/7
336 935.499
337 938.283 55/32
338 941.067
339 943.852 512/297
340 946.636
341 949.420
342 952.204 26/15
343 954.988
344 957.773
345 960.557 256/147
346 963.341 96/55
347 966.125
348 968.910 7/4
349 971.694
350 974.478
351 977.262 225/128
352 980.046 44/25
353 982.831
354 985.615
355 988.399
356 991.183
357 993.968
358 996.752 m7 16/9
359 999.536
360 1002.320
361 1005.104 25/14
362 1007.889 256/143
363 1010.673
364 1013.457
365 1016.241 9/5
366 1019.026
367 1021.810 231/128
368 1024.594
369 1027.378
370 1030.162
371 1032.947
372 1035.731 20/11
373 1038.515
374 1041.299
375 1044.084 64/35 117/64
376 1046.868
377 1049.652 11/6
378 1052.436
379 1055.220
380 1058.005
381 1060.789 24/13
382 1063.573
383 1066.357
384 1069.142
385 1071.926 13/7
386 1074.710 512/275
387 1077.494 28/15
388 1080.278
389 1083.063
390 1085.847
391 1088.631 15/8 512/273
392 1091.415
393 1094.200
394 1096.984
395 1099.768
396 1102.552 121/64
397 1105.336
398 1108.121 M7 256/135
399 1110.905 243/128
400 1113.689
401 1116.473 40/21
402 1119.258 21/11
403 1122.042
404 1124.826 245/128
405 1127.610
406 1130.394 48/25
407 1133.179
408 1135.963 27/14
409 1138.747
410 1141.531
411 1144.316
412 1147.100 64/33
413 1149.884 35/18
414 1152.668
415 1155.452 39/20
416 1158.237 125/64
417 1161.021
418 1163.805 96/49
419 1166.589
420 1169.374
421 1172.158 63/32
422 1174.942
423 1177.726
424 1180.510
425 1183.295
426 1186.079
427 1188.863
428 1191.647
429 1194.432
430 1197.216
431 1200.000 P8 2/1
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