Table of 431edo intervals

This table of 431edo intervals assumes 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