User:Overthink/Table of 311edo intervals

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This table assumes the 41-limit patent val ⟨311 493 722 873 1076 1151 1271 1321 1407 1511 1541 1620 1666] of 311edo. Intervals that differ by their assigned steps by more than 50%, but less than 100%, are marked with italics. Intervals that differ by more than 100% are not shown.

Intervals of 311edo

Steps	Cents	Marks	Approximate Ratios
			13-limit	23-limit	41-limit
0	0.000	P1	1/1
1	3.859		385/384
2	7.717		225/224
3	11.576
4	15.434
5	19.293
6	23.151		81/80
7	27.010		64/63, 65/64, 66/65	69/68	63/62
8	30.868	sd2	55/54, 56/55	57/56	58/57
9	34.727		49/48, 50/49	51/50, 52/51
10	38.585		45/44	46/45
11	42.444		40/39		41/40, 42/41
12	46.302		39/38		37/36, 38/37
13	50.161		36/35	34/33, 35/34
14	54.019		33/32		32/31
15	57.878	sA1			30/29, 31/30
16	61.736		28/27		29/28
17	65.595		27/26
18	69.453		25/24, 26/25
19	73.312			24/23
20	77.170			23/22
21	81.029		22/21
22	84.887		21/20
23	88.746	m2	256/243	20/19
24	92.605			19/18
25	96.463
26	100.322			18/17
27	104.180			17/16
28	108.039
29	111.897		16/15
30	115.756	A1	2187/2048		31/29
31	119.614		15/14
32	123.473
33	127.331		14/13
34	131.190				41/38
35	135.048
36	138.907		13/12
37	142.765
38	146.624	n2
39	150.482		12/11
40	154.341
41	158.199
42	162.058
43	165.916		11/10
44	169.775
45	173.633
46	177.492	d3
47	181.350		10/9
48	185.209
49	189.068				29/26
50	192.926			19/17
51	196.785			28/25
52	200.643
53	204.502	M2	9/8
54	208.360
55	212.219
56	216.077
57	219.936
58	223.794
59	227.653
60	231.511		8/7
61	235.370	sd3
62	239.228
63	243.087
64	246.945		15/13
65	250.804				37/32
66	254.662
67	258.521
68	262.379	sA2
69	266.238		7/6
70	270.096
71	273.955
72	277.814			27/23
73	281.672			20/17
74	285.531		33/28
75	289.389		13/11
76	293.248	m3	32/27
77	297.106
78	300.965		25/21
79	304.823
80	308.682
81	312.540
82	316.399		6/5
83	320.257	A2	77/64
84	324.116		135/112
85	327.974				29/24
86	331.833		40/33
87	335.691			17/14
88	339.550
89	343.408		39/32
90	347.267		11/9
91	351.125	n3	49/40, 60/49
92	354.984		27/22
93	358.842		16/13
94	362.701
95	366.559			21/17
96	370.418		26/21
97	374.277				36/29
98	378.135
99	381.994	d4
100	385.852		5/4
101	389.711
102	393.569
103	397.428
104	401.286
105	405.145
106	409.003	M3	81/64
107	412.862		33/26
108	416.720		14/11
109	420.579			51/40
110	424.437			23/18
111	428.296		32/25, 50/39		41/32
112	432.154
113	436.013		9/7
114	439.871	sD4
115	443.730		128/99
116	447.588
117	451.447
118	455.305		13/10
119	459.164
120	463.023
121	466.881	sA3
122	470.740		21/16
123	474.598
124	478.457
125	482.315
126	486.174
127	490.032
128	493.891
129	497.749	P4	4/3
130	501.608
131	505.466
132	509.325
133	513.183
134	517.042
135	520.900		27/20
136	524.759	A3
137	528.617
138	532.476
139	536.334
140	540.193
141	544.051
142	547.910
143	551.768		11/8
144	555.627	sA4
145	559.486
146	563.344
147	567.203
148	571.061
149	574.920
150	578.778
151	582.637		7/5
152	586.495	d5	1024/729
153	590.354		45/32
154	594.212
155	598.071
156	601.929
157	605.788
158	609.646		64/45
159	613.505	A4	729/512
160	617.363		10/7
161	621.222
162	625.080
163	628.939
164	632.797
165	636.656
166	640.514
167	644.373	sd5
168	648.232		16/11
169	652.090
170	655.949
171	659.807
172	663.666
173	667.524
174	671.383
175	675.241	d6
176	679.100		40/27
177	682.958
178	686.817
179	690.675
180	694.534
181	698.392
182	702.251	P5	3/2
183	706.109
184	709.968
185	713.826
186	717.685
187	721.543
188	725.402
189	729.260		32/21
190	733.119	sd6
191	736.977
192	740.836
193	744.695		20/13
194	748.553
195	752.412
196	756.270		99/64
197	760.129	sA5
198	763.987		14/9
199	767.846
200	771.704		25/16, 39/25
201	775.563
202	779.421
203	783.280
204	787.138
205	790.997	m6	128/81
206	794.855
207	798.714
208	802.572
209	806.431
210	810.289
211	814.148		8/5
212	818.006	A5
213	821.865
214	825.723
215	829.582
216	833.441
217	837.299
218	841.158		13/8
219	845.016
220	848.875	n6
221	852.733
222	856.592
223	860.450
224	864.309
225	868.167
226	872.026
227	875.884
228	879.743	d7
229	883.601		5/3
230	887.460
231	891.318
232	895.177
233	899.035
234	902.894
235	906.752	M6	27/16
236	910.611
237	914.469
238	918.328
239	922.186
240	926.045
241	929.904
242	933.762		12/7
243	937.621	sd7
244	941.479
245	945.338
246	949.196				64/37
247	953.055		26/15
248	956.913
249	960.772
250	964.630	sA6
251	968.489		7/4
252	972.347
253	976.206
254	980.064
255	983.923
256	987.781
257	991.640
258	995.498	m7	16/9
259	999.357
260	1003.215
261	1007.074
262	1010.932
263	1014.791
264	1018.650		9/5
265	1022.508	A6
266	1026.367
267	1030.225
268	1034.084
269	1037.942
270	1041.801
271	1045.659
272	1049.518		11/6
273	1053.376	n7	90/49
274	1057.235
275	1061.093
276	1064.952
277	1068.810
278	1072.669
279	1076.527
280	1080.386		28/15
281	1084.244	d8
282	1088.103		15/8
283	1091.961
284	1095.820
285	1099.678
286	1103.537
287	1107.395
288	1111.254	M7	243/128	19/10
289	1115.113
290	1118.971
291	1122.830
292	1126.688
293	1130.547
294	1134.405
295	1138.264
296	1142.122	sd8
297	1145.981
298	1149.839
299	1153.698
300	1157.556
301	1161.415
302	1165.273
303	1169.132	sA7
304	1172.990		63/32
305	1176.849
306	1180.707
307	1184.566
308	1188.424
309	1192.283
310	1196.141
311	1200.000	Octave	2/1