Table of 631edo intervals

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This table of 631edo intervals assumes the 37-limit patent val 631 1000 1465 1771 2183 2335 2579 2680 2854 3065 3126 3287] of 631edo.

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 higher-limit intervals
0 0.000 P1 1/1
1 1.902
2 3.803
3 5.705
4 7.607
5 9.509
6 11.410
7 13.312
8 15.214
9 17.116
10 19.017
11 20.919
12 22.821
13 24.723
14 26.624 64/63 65/64
15 28.526
16 30.428
17 32.330
18 34.231
19 36.133 49/48
20 38.035
21 39.937
22 41.838 128/125
23 43.740
24 45.642
25 47.544
26 49.445
27 51.347
28 53.249 33/32
29 55.151 32/31
30 57.052
31 58.954
32 60.856
33 62.758
34 64.659
35 66.561 133/128
36 68.463
37 70.365 25/24
38 72.266
39 74.168 24/23
40 76.070 21/20
41 77.971
42 79.873
43 81.775
44 83.677
45 85.578
46 87.480
47 89.382 20/19
48 91.284 m2 135/128
49 93.185
50 95.087
51 96.989 128/121
52 98.891
53 100.792
54 102.694
55 104.596 17/16
56 106.498
57 108.399
58 110.301
59 112.203 16/15
60 114.105
61 116.006
62 117.908
63 119.810 15/14
64 121.712
65 123.613
66 125.515 128/119
67 127.417 14/13
68 129.319 69/64
69 131.220
70 133.122
71 135.024
72 136.926
73 138.827 13/12
74 140.729
75 142.631
76 144.532
77 146.434
78 148.336
79 150.238 12/11
80 152.139
81 154.041
82 155.943 35/32 128/117
83 157.845
84 159.746
85 161.648
86 163.550
87 165.452 11/10
88 167.353
89 169.255
90 171.157 32/29
91 173.059
92 174.960
93 176.862
94 178.764
95 180.666
96 182.567 10/9
97 184.469 128/115
98 186.371
99 188.273
100 190.174
101 192.076 143/128
102 193.978
103 195.880
104 197.781
105 199.683 64/57
106 201.585
107 203.487 M2 9/8
108 205.388
109 207.290
110 209.192
111 211.094
112 212.995
113 214.897
114 216.799 145/128
115 218.700
116 220.602
117 222.504
118 224.406
119 226.307
120 228.209
121 230.111
122 232.013 8/7
123 233.914
124 235.816
125 237.718
126 239.620 147/128
127 241.521 23/20
128 243.423
129 245.325
130 247.227 128/111
131 249.128
132 251.030 37/32
133 252.932
134 254.834
135 256.735
136 258.637
137 260.539
138 262.441 64/55
139 264.342
140 266.244 7/6
141 268.146
142 270.048
143 271.949
144 273.851 75/64
145 275.753
146 277.655
147 279.556
148 281.458 20/17
149 283.360
150 285.261
151 287.163
152 289.065 13/11
153 290.967
154 292.868
155 294.770 m3 32/27
156 296.672 19/16
157 298.574
158 300.475
159 302.377
160 304.279
161 306.181
162 308.082
163 309.984
164 311.886
165 313.788
166 315.689 6/5
167 317.591
168 319.493 77/64
169 321.395
170 323.296
171 325.198
172 327.100 29/24
173 329.002
174 330.903
175 332.805
176 334.707
177 336.609 17/14
178 338.510
179 340.412
180 342.314 39/32
181 344.216
182 346.117
183 348.019 11/9
184 349.921
185 351.823
186 353.724
187 355.626
188 357.528
189 359.429 16/13
190 361.331
191 363.233
192 365.135
193 367.036
194 368.938
195 370.840
196 372.742
197 374.643
198 376.545
199 378.447
200 380.349
201 382.250
202 384.152
203 386.054 5/4
204 387.956
205 389.857
206 391.759
207 393.661 64/51
208 395.563
209 397.464
210 399.366
211 401.268
212 403.170
213 405.071 24/19
214 406.973 M3 81/64
215 408.875
216 410.777
217 412.678
218 414.580
219 416.482
220 418.384 14/11
221 420.285
222 422.187
223 424.089
224 425.990
225 427.892 32/25
226 429.794
227 431.696
228 433.597
229 435.499 9/7
230 437.401
231 439.303
232 441.204
233 443.106 31/24
234 445.008 128/99
235 446.910
236 448.811
237 450.713 48/37
238 452.615
239 454.517 13/10
240 456.418
241 458.320
242 460.222
243 462.124 64/49
244 464.025
245 465.927
246 467.829
247 469.731
248 471.632 21/16
249 473.534
250 475.436
251 477.338
252 479.239
253 481.141
254 483.043
255 484.945
256 486.846
257 488.748
258 490.650 85/64
259 492.552
260 494.453
261 496.355
262 498.257 P4 4/3
263 500.158
264 502.060
265 503.962
266 505.864
267 507.765
268 509.667
269 511.569
270 513.471
271 515.372 128/95
272 517.274
273 519.176 27/20
274 521.078
275 522.979
276 524.881
277 526.783
278 528.685 19/14
279 530.586 87/64
280 532.488
281 534.390
282 536.292
283 538.193
284 540.095
285 541.997
286 543.899
287 545.800
288 547.702 48/35
289 549.604
290 551.506 11/8
291 553.407 128/93
292 555.309
293 557.211 40/29
294 559.113
295 561.014
296 562.916 18/13
297 564.818
298 566.719
299 568.621
300 570.523
301 572.425 32/23
302 574.326
303 576.228
304 578.130
305 580.032
306 581.933 7/5
307 583.835
308 585.737
309 587.639
310 589.540 d5 45/32
311 591.442 128/91
312 593.344
313 595.246
314 597.147 24/17
315 599.049
316 600.951
317 602.853 17/12
318 604.754
319 606.656
320 608.558 91/64
321 610.460 A4 64/45
322 612.361
323 614.263
324 616.165
325 618.067 10/7
326 619.968
327 621.870
328 623.772
329 625.674
330 627.575 23/16
331 629.477
332 631.379
333 633.281
334 635.182
335 637.084 13/9
336 638.986
337 640.887
338 642.789 29/20
339 644.691
340 646.593 93/64
341 648.494 16/11
342 650.396
343 652.298 35/24
344 654.200
345 656.101
346 658.003
347 659.905
348 661.807
349 663.708
350 665.610
351 667.512
352 669.414 128/87
353 671.315 28/19
354 673.217
355 675.119
356 677.021
357 678.922
358 680.824 40/27
359 682.726
360 684.628 95/64
361 686.529
362 688.431
363 690.333
364 692.235
365 694.136
366 696.038
367 697.940
368 699.842
369 701.743 P5 3/2
370 703.645
371 705.547
372 707.448
373 709.350 128/85
374 711.252
375 713.154
376 715.055
377 716.957
378 718.859
379 720.761
380 722.662
381 724.564
382 726.466
383 728.368 32/21
384 730.269
385 732.171
386 734.073
387 735.975
388 737.876 49/32
389 739.778
390 741.680
391 743.582
392 745.483 20/13
393 747.385
394 749.287 37/24
395 751.189
396 753.090
397 754.992 99/64
398 756.894 48/31
399 758.796
400 760.697
401 762.599
402 764.501 14/9
403 766.403
404 768.304
405 770.206
406 772.108 25/16
407 774.010
408 775.911
409 777.813
410 779.715
411 781.616 11/7
412 783.518
413 785.420
414 787.322
415 789.223
416 791.125
417 793.027 m6 128/81
418 794.929 19/12
419 796.830
420 798.732
421 800.634
422 802.536
423 804.437
424 806.339 51/32
425 808.241
426 810.143
427 812.044
428 813.946 8/5
429 815.848
430 817.750
431 819.651
432 821.553
433 823.455
434 825.357
435 827.258
436 829.160
437 831.062
438 832.964
439 834.865
440 836.767
441 838.669
442 840.571 13/8
443 842.472
444 844.374
445 846.276
446 848.177
447 850.079
448 851.981 18/11'
449 853.883
450 855.784
451 857.686 64/39
452 859.588
453 861.490
454 863.391 28/17
455 865.293
456 867.195
457 869.097
458 870.998
459 872.900 48/29
460 874.802
461 876.704
462 878.605
463 880.507 128/77
464 882.409
465 884.311 5/3
466 886.212
467 888.114
468 890.016
469 891.918
470 893.819
471 895.721
472 897.623
473 899.525
474 901.426
475 903.328 32/19
476 905.230 M6 27/16
477 907.132
478 909.033
479 910.935 22/13
480 912.837
481 914.739
482 916.640
483 918.542 17/10
484 920.444
485 922.345
486 924.247
487 926.149 128/75
488 928.051
489 929.952
490 931.854
491 933.756 12/7
492 935.658
493 937.559 55/32
494 939.461
495 941.363
496 943.265
497 945.166
498 947.068
499 948.970 64/37
500 950.872
501 952.773 111/64
502 954.675
503 956.577
504 958.479 40/23
505 960.380 256/147
506 962.282
507 964.184
508 966.086
509 967.987 7/4
510 969.889
511 971.791
512 973.693
513 975.594
514 977.496
515 979.398
516 981.300
517 983.201 256/145
518 985.103
519 987.005
520 988.906
521 990.808
522 992.710
523 994.612
524 996.513 m7 16/9
525 998.415
526 1000.317 57/32
527 1002.219 256/143
528 1004.120
529 1006.022
530 1007.924
531 1009.826
532 1011.727
533 1013.629
534 1015.531 115/64
535 1017.433 9/5
536 1019.334
537 1021.236
538 1023.138
539 1025.040
540 1026.941
541 1028.843 29/16
542 1030.745
543 1032.647
544 1034.548 20/11
545 1036.450
546 1038.352
547 1040.254
548 1042.155
549 1044.057 64/35 117/64
550 1045.959
551 1047.861
552 1049.762 11/6
553 1051.664
554 1053.566
555 1055.468
556 1057.369
557 1059.271
558 1061.173 24/13
559 1063.074
560 1064.976
561 1066.878
562 1068.780
563 1070.681 128/69
564 1072.583 13/7
565 1074.485 119/64
566 1076.387
567 1078.288
568 1080.190 28/15
569 1082.092
570 1083.994
571 1085.895
572 1087.797 15/8
573 1089.699
574 1091.601
575 1093.502
576 1095.404 32/17
577 1097.306
578 1099.208
579 1101.109
580 1103.011 121/64
581 1104.913
582 1106.815
583 1108.716 M7 256/135
584 1110.618 19/10
585 1112.520
586 1114.422
587 1116.323 40/21
588 1118.225
589 1120.127
590 1122.029
591 1123.930
592 1125.832 23/12
593 1127.734
594 1129.635 48/23
595 1131.537
596 1133.439 256/133
597 1135.341
598 1137.242
599 1139.144
600 1141.046
601 1142.948
602 1144.849 31/16
603 1146.751 64/33
604 1148.653
605 1150.555
606 1152.456
607 1154.358
608 1156.260
609 1158.162 125/64
610 1160.063
611 1161.965
612 1163.867 96/49
613 1165.769
614 1167.670
615 1169.572
616 1171.474
617 1173.376 63/32 128/65
618 1175.277
619 1177.179
620 1179.081
621 1180.983
622 1182.884
623 1184.786
624 1186.688
625 1188.590
626 1190.491
627 1192.393
628 1194.295
629 1196.197
630 1198.098
631 1200.000 P8 2/1