User:ArrowHead294/Purely consistent EDOs by odd limit

Below is a table of the first 50 EDOs that are purely consistent (approximate all harmonics with <25% relative error) in the 7-, 15-, 31-, and 63-odd-limits.

Tables

First 100 purely consistent EDOs
(25% maximum relative error)

7-odd-limit	15-odd-limit	31-odd-limit	63-odd-limit
10	87	311	3159811
15	224	16808	4393509
22	270	20567	7317929
31	311	25540	8595351
41	364	28342	10143327
46	400	31920	10881306
53	431	34691	16070278
56	494	60392	24700320
68	518	65322	27167203
72	764	90623	27783092
77	795	93664	32452446
84	805	116498	34531581
87	882	124702	39638069
99	925	143958	40326968
108	1012	148418	43237481
109	1376	164838	43272172
125	1506	165226	47518993
130	1665	165879	50203972
140	1802	175878	51781203
161	1870	185793	55331157
162	1889	195339	57807073
171	2029	195727	61698784
186	2096	209851	67708629
193	2159	210569	79746917
202	2190	212147	79863868
212	2320	220633	81853117
214	2373	241200	81926438
217	2383	248975	89927296
224	2414	256119	92431072
239	2460	263323	92867999
243	2501	265323	95660980
248	2590	266901	97834962
255	2631	285172	98134212
270	2684	286350	98798699
280	2730	292376	99646444
301	2771	298467	101833237
311	2814	301592	103428565
323	2877	308712	105324066
332	2901	318400	109559534
333	2908	324296	111221150
342	2954	328645	116368138
354	2995	330645	122984398
357	3084	334553	125090598
364	3171	339998	127311771
369	3178	344145	128730110
373	3202	346742	130221303
385	3224	349643	133768421
395	3265	351672	140849220
400	3395	354185	141033767
410	3448	358987	143662814
426	3489	360565	144419890
431	3665	363466	148202011
441	3696	370499	151831483
451	3783	371564	153024392
463	4079	373677	158669053
472	4190	377373	159848761
482	4277	385729	160149635
484	4349	385912	160774629
487	4573	389618	161432866
494	4780	395256	164351477
503	4843	405050	166032371
513	5067	406296	168000923
518	5091	406426	169418494
525	5154	414965	175919039
535	5185	431385	179078850
540	5274	439524	181519805
544	5315	451051	183206113
556	5337	459944	183836220
566	5361	460438	186897394
571	5368	470372	187692062
581	5455	477470	191688790
593	5498	482971	191986192
597	5544	490175	194192607
602	5585	490358	194623862
612	5679	491510	197298018
622	5725	494589	199016588
624	5768	530634	202587258
627	5809	536089	210410120
634	5855	536443	211409803
643	5886	536983	211563023
653	5896	542792	224166807
655	5949	547442	224571344
658	6079	550955	225595849
665	6166	570416	228238138
680	6219	571134	233266168
684	6303	579803	236240658
696	6349	587942	238732951
711	6380	589737	239096106
721	6390	590843	242738659
733	6443	597876	243218589
742	6510	606545	246336052
752	6597	607263	247619283
764	6650	610304	251714508
773	6669	610776	254187340
774	6874	612764	257482799
783	6961	642696	262059060
795	7033	643349	262561663
805	7091	646915	267404288
810	7163	649428	271719416
814	7344	652630	273715325

First 50 purely consistent EDOs
(12.5% maximum relative error)

7-odd-limit	15-odd-limit	31-odd-limit
140	2684	8794203
171	5585	11358058
270	6079	22375012
301	8269	22550890
311	8539	24163337
342	14124	28546912
441	14348	29591984
472	14618	40764249
612	20203	53108406
665	22887	53320553
711	24776	73916121
882	25658	78299696
913	26152	87960052
935	28472	99152884
966	31426	102463033
1106	37011	110510942
1137	38900	110871507
1236	40276	113804283
1277	42165	113821091
1376	43090	124838045
1407	50704	126340020
1547	56202	130422003
1578	59467	155571439
1718	65052	155932004
1749	65546	161191666
1817	68006	167124836
1848	73591	178482894
1889	74085	201615917
1988	79670	201976482
2019	81860	212386033
2159	82130	213334540
2190	82354	224315225
2243	87939	234231700
2289	88209	238642328
2460	90893	244853398
2513	93524	256782590
2600	93794	257658677
2653	94288	258395037
2684	96478	259166871
2814	102063	263879091
2824	102287	266442946
2855	102557	273400310
2954	110602	280945927
2985	110826	283060666
3125	111096	297010396
3224	116681	302992294
3255	119365	315209631
3265	121254	326778258
3296	122630	327138823
3395	128215	338172585
3426	133058	357547921
3467	136754	359245623
3566	138643	360270128
3597	142339	360511328
3737	142833	367293532
3790	147182	368318037
3836	152991	368905979
3867	153261	369652273
3877	155945	371462960
4007	159641	377700182
4038	161530	380247229
4091	167115	383408960
4231	167385	385506891
4262	169799	388817040
4277	170069	399263578
4448	170293	400009872
4501	170563	406314606
4532	175654	412551828
4672	175878	417672664
4703	176148	417974256
4802	178338	422384884
4833	178832	429601856
4843	181733	430567388
4874	184417	445311569
4942	184687	451616303
4973	190002	453118278
5113	190272	455999878
5144	190496	458563733
5284	192956	470781070
5315	193267	471352204
5368	198541	481973902
5414	199035	487969924
5445	201806	499327982
5455	204620	510520814
5554	207574	510881379
5585	210569	528183606
5725	215843	555581311
5778	224693	582398871
5809	226582	584585353
5855	235121	593221204
5939	235615	596190249
6026	238817	612807969
6079	239311	622553580
6110	241200	624149219
6219	243390	626713074
6250	243884	635358859
6349	244896	635507277
6380	249469	637905906
6390	249739	643901928
6421	252423	655094760

Results

These lists were generated using JavaScript code run in Microsoft Edge's console. I previously used Firefox on my personal computer but these are the latest results I've got after running the same script on my work laptop (which is much faster).

• Computer: Microsoft Surface Laptop 4 (this is my work laptop)
• OS: Windows 11 Pro
• Applications open: Edge, File Explorer, Teams, Notepad, Outlook, Task Manager
  • 25% relative error:
    • 7-odd-limit: 7ms
    • 15-odd-limit: 24ms
    • 31-odd-limit: 2.891s
    • 63-odd-limit: 41m 27.139s
  • 12.5% relative error:
    • 7-odd-limit: 15ms
    • 15-odd-limit: 0.438s
    • 31-odd-limit: 49m 40.222s

Appendix

Main page: User:ArrowHead294/Purely consistent EDOs by odd limit/Appendix