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 error				12.5% maximum error
7-odd-limit	15-odd-limit	31-odd-limit	63-odd-limit	7-odd-limit	15-odd-limit	31-odd-limit
10	87	311	3159811	140	2684	8794203
15	224	16808	4393509	171	5585	11358058
22	270	20567	7317929	270	6079	22375012
31	311	25540	8595351	301	8269	22550890
41	364	28342	10143327	311	8539	24163337
46	400	31920	10881306	342	14124	28546912
53	431	34691	16070278	441	14348	29591984
56	494	60392	24700320	472	14618	40764249
68	518	65322	27167203	612	20203	53108406
72	764	90623	27783092	665	22887	53320553
77	795	93664	32452446	711	24776	73916121
84	805	116498	34531581	882	25658	78299696
87	882	124702	39638069	913	26152	87960052
99	925	143958	40326968	935	28472	99152884
108	1012	148418	43237481	966	31426	102463033
109	1376	164838	43272172	1106	37011	110510942
125	1506	165226	47518993	1137	38900	110871507
130	1665	165879	50203972	1236	40276	113804283
140	1802	175878	51781203	1277	42165	113821091
161	1870	185793	55331157	1376	43090	124838045
162	1889	195339	57807073	1407	50704	126340020
171	2029	195727	61698784	1547	56202	130422003
186	2096	209851	67708629	1578	59467	155571439
193	2159	210569	79746917	1718	65052	155932004
202	2190	212147	79863868	1749	65546	161191666
212	2320	220633	81853117	1817	68006	167124836
214	2373	241200	81926438	1848	73591	178482894
217	2383	248975	89927296	1889	74085	201615917
224	2414	256119	92431072	1988	79670	201976482
239	2460	263323	92867999	2019	81860	212386033
243	2501	265323	95660980	2159	82130	213334540
248	2590	266901	97834962	2190	82354	224315225
255	2631	285172	98134212	2243	87939	234231700
270	2684	286350	98798699	2289	88209	238642328
280	2730	292376	99646444	2460	90893	244853398
301	2771	298467	101833237	2513	93524	256782590
311	2814	301592	103428565	2600	93794	257658677
323	2877	308712	105324066	2653	94288	258395037
332	2901	318400	109559534	2684	96478	259166871
333	2908	324296	111221150	2814	102063	263879091
342	2954	328645	116368138	2824	102287	266442946
354	2995	330645	122984398	2855	102557	273400310
357	3084	334553	125090598	2954	110602	280945927
364	3171	339998	127311771	2985	110826	283060666
369	3178	344145	128730110	3125	111096	297010396
373	3202	346742	130221303	3224	116681	302992294
385	3224	349643	133768421	3255	119365	315209631
395	3265	351672	140849220	3265	121254	326778258
400	3395	354185	141033767	3296	122630	327138823
410	3448	358987	143662814	3395	128215	338172585
426	3489	360565	144419890	3426	133058	357547921
431	3665	363466	148202011	3467	136754	359245623
441	3696	370499	151831483	3566	138643	360270128
451	3783	371564	153024392	3597	142339	360511328
463	4079	373677	158669053	3737	142833	367293532
472	4190	377373	159848761	3790	147182	368318037
482	4277	385729	160149635	3836	152991	368905979
484	4349	385912	160774629	3867	153261	369652273
487	4573	389618	161432866	3877	155945	371462960
494	4780	395256	164351477	4007	159641	377700182
503	4843	405050	166032371	4038	161530	380247229
513	5067	406296	168000923	4091	167115	383408960
518	5091	406426	169418494	4231	167385	385506891
525	5154	414965	175919039	4262	169799	388817040
535	5185	431385	179078850	4277	170069	399263578
540	5274	439524	181519805	4448	170293	400009872
544	5315	451051	183206113	4501	170563	406314606
556	5337	459944	183836220	4532	175654	412551828
566	5361	460438	186897394	4672	175878	417672664
571	5368	470372	187692062	4703	176148	417974256
581	5455	477470	191688790	4802	178338	422384884
593	5498	482971	191986192	4833	178832	429601856
597	5544	490175	194192607	4843	181733	430567388
602	5585	490358	194623862	4874	184417	445311569
612	5679	491510	197298018	4942	184687	451616303
622	5725	494589	199016588	4973	190002	453118278
624	5768	530634	202587258	5113	190272	455999878
627	5809	536089	210410120	5144	190496	458563733
634	5855	536443	211409803	5284	192956	470781070
643	5886	536983	211563023	5315	193267	471352204
653	5896	542792	224166807	5368	198541	481973902
655	5949	547442	224571344	5414	199035	487969924
658	6079	550955	225595849	5445	201806	499327982
665	6166	570416	228238138	5455	204620	510520814
680	6219	571134	233266168	5554	207574	510881379
684	6303	579803	236240658	5585	210569	528183606
696	6349	587942	238732951	5725	215843	555581311
711	6380	589737	239096106	5778	224693	582398871
721	6390	590843	242738659	5809	226582	584585353
733	6443	597876	243218589	5855	235121	593221204
742	6510	606545	246336052	5939	235615	596190249
752	6597	607263	247619283	6026	238817	612807969
764	6650	610304	251714508	6079	239311	622553580
773	6669	610776	254187340	6110	241200	624149219
774	6874	612764	257482799	6219	243390	626713074
783	6961	642696	262059060	6250	243884	635358859
795	7033	643349	262561663	6349	244896	635507277
805	7091	646915	267404288	6380	249469	637905906
810	7163	649428	271719416	6390	249739	643901928
814	7344	652630	273715325	6421	252423	655094760
7-odd-limit	15-odd-limit	31-odd-limit	63-odd-limit	7-odd-limit	15-odd-limit	31-odd-limit
25% maximum error				12.5% maximum error

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