Delta-rational triads in small edos

Shown below are approximate delta-rational triads spanning an interval < octave in edos < 24 with naive least-squares error < 0.00810. All delta signatures are in the 3-integer limit.

EDO	Steps	Delta signature	Naive least-squares error	Symmetric least-squares error
6	0, 1, 2	+1+1	0.00671	0.05262
6	0, 2, 5	+1+2	0.00064	0.00255
6	0, 4, 5	+3+1	0.00084	0.00439
7	0, 1, 2	+1+1	0.00485	0.04494
7	0, 2, 5	+1+2	0.00518	0.02473
7	0, 4, 5	+3+1	0.00439	0.02767
7	0, 4, 6	+3+2	0.00075	0.00468
8	0, 1, 2	+1+1	0.00366	0.03923
8	0, 4, 7	+1+1	0.00250	0.00649
8	0, 1, 3	+1+2	0.00801	0.08197
8	0, 2, 5	+1+2	0.00804	0.04497
8	0, 2, 3	+2+1	0.00723	0.07438
8	0, 4, 5	+3+1	0.00604	0.04470
8	0, 4, 6	+3+2	0.00441	0.03250
9	0, 1, 2	+1+1	0.00287	0.03481
9	0, 4, 7	+1+1	0.00317	0.00941
9	0, 1, 3	+1+2	0.00624	0.07286
9	0, 2, 3	+2+1	0.00562	0.06586
9	0, 5, 7	+2+1	0.00548	0.02377
9	0, 4, 5	+3+1	0.00679	0.05773
9	0, 4, 6	+3+2	0.00716	0.06098
10	0, 1, 2	+1+1	0.00230	0.03128
10	0, 4, 7	+1+1	0.00649	0.02168
10	0, 1, 3	+1+2	0.00500	0.06557
10	0, 1, 4	+1+3	0.00786	0.09929
10	0, 2, 7	+1+3	0.00721	0.04684
10	0, 2, 3	+2+1	0.00449	0.05909
10	0, 5, 7	+2+1	0.00177	0.00868
10	0, 3, 4	+3+1	0.00679	0.08635
10	0, 4, 5	+3+1	0.00708	0.06802
10	0, 6, 9	+3+2	0.00336	0.01975
11	0, 1, 2	+1+1	0.00189	0.02841
11	0, 2, 4	+1+1	0.00807	0.05755
11	0, 1, 3	+1+2	0.00410	0.05961
11	0, 4, 10	+1+2	0.00565	0.02016
11	0, 1, 4	+1+3	0.00643	0.09038
11	0, 2, 7	+1+3	0.00416	0.03036
11	0, 2, 3	+2+1	0.00367	0.05359
11	0, 5, 7	+2+1	0.00062	0.00342
11	0, 3, 4	+3+1	0.00553	0.07822
11	0, 4, 5	+3+1	0.00712	0.07636
11	0, 8, 10	+3+1	0.00231	0.01080
11	0, 6, 9	+3+2	0.00135	0.00892
12	0, 1, 2	+1+1	0.00158	0.02602
12	0, 2, 4	+1+1	0.00671	0.05262
12	0, 5, 9	+1+1	0.00542	0.01684
12	0, 1, 3	+1+2	0.00342	0.05465
12	0, 3, 8	+1+2	0.00625	0.03266
12	0, 4, 10	+1+2	0.00064	0.00255
12	0, 1, 4	+1+3	0.00535	0.08294
12	0, 2, 7	+1+3	0.00205	0.01661
12	0, 3, 10	+1+3	0.00606	0.03163
12	0, 2, 3	+2+1	0.00306	0.04903
12	0, 5, 7	+2+1	0.00219	0.01335
12	0, 8, 11	+2+1	0.00369	0.01302
12	0, 3, 4	+3+1	0.00459	0.07149
12	0, 4, 5	+3+1	0.00703	0.08326
12	0, 8, 10	+3+1	0.00084	0.00439
12	0, 2, 3	+3+2	0.00766	0.19843
12	0, 6, 9	+3+2	0.00441	0.03250
13	0, 1, 2	+1+1	0.00134	0.02400
13	0, 2, 4	+1+1	0.00566	0.04848
13	0, 5, 9	+1+1	0.00217	0.00737
13	0, 7, 12	+1+1	0.00389	0.00949
13	0, 1, 3	+1+2	0.00290	0.05045
13	0, 3, 8	+1+2	0.00366	0.02103
13	0, 4, 10	+1+2	0.00279	0.01219
13	0, 5, 12	+1+2	0.00644	0.02247
13	0, 1, 4	+1+3	0.00453	0.07663
13	0, 2, 7	+1+3	0.00056	0.00496
13	0, 3, 10	+1+3	0.00255	0.01472
13	0, 2, 3	+2+1	0.00259	0.04518
13	0, 5, 7	+2+1	0.00324	0.02166
13	0, 8, 11	+2+1	0.00014	0.00053
13	0, 3, 7	+2+3	0.00697	0.07780
13	0, 4, 9	+2+3	0.00800	0.06578
13	0, 3, 4	+3+1	0.00387	0.06582
13	0, 4, 5	+3+1	0.00687	0.08905
13	0, 7, 9	+3+1	0.00758	0.05018
13	0, 8, 10	+3+1	0.00296	0.01701
13	0, 2, 3	+3+2	0.00725	0.20459
13	0, 6, 9	+3+2	0.00642	0.05226
13	0, 8, 12	+3+2	0.00491	0.02791
14	0, 1, 2	+1+1	0.00115	0.02228
14	0, 2, 4	+1+1	0.00485	0.04494
14	0, 5, 9	+1+1	0.00016	0.00059
14	0, 7, 12	+1+1	0.00759	0.02013
14	0, 1, 3	+1+2	0.00249	0.04685
14	0, 3, 8	+1+2	0.00177	0.01110
14	0, 4, 10	+1+2	0.00518	0.02473
14	0, 1, 4	+1+3	0.00388	0.07122
14	0, 2, 7	+1+3	0.00052	0.00505
14	0, 3, 10	+1+3	0.00004	0.00023
14	0, 4, 13	+1+3	0.00663	0.03015
14	0, 2, 3	+2+1	0.00222	0.04190
14	0, 5, 7	+2+1	0.00395	0.02871
14	0, 8, 11	+2+1	0.00280	0.01191
14	0, 2, 5	+2+3	0.00767	0.13817
14	0, 3, 7	+2+3	0.00516	0.06277
14	0, 4, 9	+2+3	0.00516	0.04637
14	0, 5, 11	+2+3	0.00807	0.05654
14	0, 3, 4	+3+1	0.00330	0.06099
14	0, 4, 5	+3+1	0.00668	0.09400
14	0, 7, 9	+3+1	0.00548	0.03965
14	0, 8, 10	+3+1	0.00439	0.02767
14	0, 2, 3	+3+2	0.00687	0.20986
14	0, 3, 5	+3+2	0.00721	0.13014
14	0, 6, 9	+3+2	0.00776	0.06905
14	0, 8, 12	+3+2	0.00075	0.00468
15	0, 1, 2	+1+1	0.00100	0.02078
15	0, 2, 4	+1+1	0.00419	0.04189
15	0, 5, 9	+1+1	0.00184	0.00738
15	0, 8, 14	+1+1	0.00677	0.01640
15	0, 1, 3	+1+2	0.00216	0.04373
15	0, 3, 8	+1+2	0.00037	0.00252
15	0, 4, 10	+1+2	0.00685	0.03554
15	0, 1, 4	+1+3	0.00336	0.06652
15	0, 2, 7	+1+3	0.00131	0.01374
15	0, 3, 10	+1+3	0.00179	0.01233
15	0, 4, 13	+1+3	0.00275	0.01366
15	0, 2, 3	+2+1	0.00192	0.03906
15	0, 5, 7	+2+1	0.00442	0.03478
15	0, 7, 10	+2+1	0.00806	0.04226
15	0, 8, 11	+2+1	0.00468	0.02160
15	0, 1, 2	+2+3	0.00795	0.39746
15	0, 2, 5	+2+3	0.00663	0.12894
15	0, 3, 7	+2+3	0.00378	0.04976
15	0, 4, 9	+2+3	0.00303	0.02958
15	0, 5, 11	+2+3	0.00471	0.03593
15	0, 3, 4	+3+1	0.00286	0.05682
15	0, 4, 5	+3+1	0.00647	0.09826
15	0, 7, 9	+3+1	0.00390	0.03063
15	0, 8, 10	+3+1	0.00537	0.03679
15	0, 2, 3	+3+2	0.00652	0.21442
15	0, 3, 5	+3+2	0.00622	0.12129
15	0, 5, 8	+3+2	0.00724	0.08190
15	0, 8, 12	+3+2	0.00224	0.01523
16	0, 1, 2	+1+1	0.00088	0.01947
16	0, 2, 4	+1+1	0.00366	0.03923
16	0, 5, 9	+1+1	0.00308	0.01325
16	0, 6, 11	+1+1	0.00752	0.02588
16	0, 8, 14	+1+1	0.00250	0.00649
16	0, 1, 3	+1+2	0.00189	0.04101
16	0, 2, 6	+1+2	0.00801	0.08197
16	0, 3, 8	+1+2	0.00068	0.00497
16	0, 4, 10	+1+2	0.00804	0.04497
16	0, 6, 15	+1+2	0.00781	0.02682
16	0, 1, 4	+1+3	0.00294	0.06240
16	0, 2, 7	+1+3	0.00189	0.02135
16	0, 3, 10	+1+3	0.00314	0.02334
16	0, 4, 13	+1+3	0.00014	0.00075
16	0, 2, 3	+2+1	0.00168	0.03658
16	0, 4, 6	+2+1	0.00723	0.07438
16	0, 5, 7	+2+1	0.00473	0.04006
16	0, 7, 10	+2+1	0.00601	0.03397
16	0, 8, 11	+2+1	0.00601	0.02997
16	0, 11, 15	+2+1	0.00029	0.00101
16	0, 1, 2	+2+3	0.00749	0.40058
16	0, 2, 5	+2+3	0.00579	0.12087
16	0, 3, 7	+2+3	0.00271	0.03838
16	0, 4, 9	+2+3	0.00141	0.01491
16	0, 5, 11	+2+3	0.00217	0.01794
16	0, 6, 13	+2+3	0.00526	0.03524
16	0, 3, 4	+3+1	0.00249	0.05319
16	0, 4, 5	+3+1	0.00625	0.10198
16	0, 7, 9	+3+1	0.00269	0.02281
16	0, 8, 10	+3+1	0.00604	0.04470
16	0, 12, 15	+3+1	0.00369	0.01658
16	0, 2, 3	+3+2	0.00620	0.21840
16	0, 3, 5	+3+2	0.00542	0.11356
16	0, 5, 8	+3+2	0.00572	0.06977
16	0, 8, 12	+3+2	0.00441	0.03250
16	0, 10, 15	+3+2	0.00593	0.03303
17	0, 1, 2	+1+1	0.00077	0.01832
17	0, 2, 4	+1+1	0.00323	0.03688
17	0, 3, 6	+1+1	0.00757	0.05581
17	0, 5, 9	+1+1	0.00399	0.01838
17	0, 6, 11	+1+1	0.00521	0.01921
17	0, 8, 14	+1+1	0.00072	0.00201
17	0, 1, 3	+1+2	0.00167	0.03860
17	0, 2, 6	+1+2	0.00704	0.07714
17	0, 3, 8	+1+2	0.00148	0.01158
17	0, 5, 13	+1+2	0.00652	0.02881
17	0, 6, 15	+1+2	0.00376	0.01392
17	0, 1, 4	+1+3	0.00259	0.05876
17	0, 2, 7	+1+3	0.00231	0.02808
17	0, 3, 10	+1+3	0.00414	0.03306
17	0, 4, 13	+1+3	0.00232	0.01346
17	0, 5, 16	+1+3	0.00377	0.01684
17	0, 2, 3	+2+1	0.00148	0.03439
17	0, 4, 6	+2+1	0.00635	0.06986
17	0, 5, 7	+2+1	0.00493	0.04469
17	0, 7, 10	+2+1	0.00440	0.02673
17	0, 8, 11	+2+1	0.00696	0.03727
17	0, 11, 15	+2+1	0.00309	0.01141
17	0, 1, 2	+2+3	0.00708	0.40333
17	0, 2, 5	+2+3	0.00510	0.11375
17	0, 3, 7	+2+3	0.00187	0.02836
17	0, 4, 9	+2+3	0.00018	0.00199
17	0, 5, 11	+2+3	0.00024	0.00210
17	0, 6, 13	+2+3	0.00227	0.01643
17	0, 7, 15	+2+3	0.00654	0.03941
17	0, 3, 4	+3+1	0.00220	0.04999
17	0, 4, 5	+3+1	0.00604	0.10524
17	0, 7, 9	+3+1	0.00175	0.01597
17	0, 8, 10	+3+1	0.00650	0.05162
17	0, 12, 15	+3+1	0.00111	0.00540
17	0, 13, 16	+3+1	0.00716	0.03181
17	0, 1, 2	+3+2	0.00803	0.49486
17	0, 2, 3	+3+2	0.00591	0.22191
17	0, 3, 5	+3+2	0.00477	0.10676
17	0, 5, 8	+3+2	0.00452	0.05911
17	0, 7, 11	+3+2	0.00795	0.07119
17	0, 8, 12	+3+2	0.00599	0.04762
17	0, 10, 15	+3+2	0.00225	0.01353
18	0, 1, 2	+1+1	0.00069	0.01730
18	0, 2, 4	+1+1	0.00287	0.03481
18	0, 3, 6	+1+1	0.00671	0.05262
18	0, 5, 9	+1+1	0.00467	0.02291
18	0, 6, 11	+1+1	0.00340	0.01335
18	0, 8, 14	+1+1	0.00317	0.00941
18	0, 10, 17	+1+1	0.00672	0.01597
18	0, 1, 3	+1+2	0.00148	0.03646
18	0, 2, 6	+1+2	0.00624	0.07286
18	0, 3, 8	+1+2	0.00209	0.01744
18	0, 5, 13	+1+2	0.00403	0.01907
18	0, 6, 15	+1+2	0.00064	0.00255
18	0, 7, 17	+1+2	0.00117	0.00398
18	0, 1, 4	+1+3	0.00230	0.05553
18	0, 2, 7	+1+3	0.00263	0.03407
18	0, 3, 10	+1+3	0.00488	0.04172
18	0, 4, 13	+1+3	0.00398	0.02477
18	0, 5, 16	+1+3	0.00059	0.00285
18	0, 2, 3	+2+1	0.00132	0.03246
18	0, 4, 6	+2+1	0.00562	0.06586
18	0, 5, 7	+2+1	0.00505	0.04879
18	0, 7, 10	+2+1	0.00314	0.02036
18	0, 8, 11	+2+1	0.00763	0.04370
18	0, 10, 14	+2+1	0.00548	0.02377
18	0, 11, 15	+2+1	0.00519	0.02051
18	0, 1, 2	+2+3	0.00672	0.40577
18	0, 2, 5	+2+3	0.00452	0.10742
18	0, 3, 7	+2+3	0.00120	0.01945
18	0, 4, 9	+2+3	0.00078	0.00948
18	0, 5, 11	+2+3	0.00126	0.01196
18	0, 6, 13	+2+3	0.00003	0.00023
18	0, 7, 15	+2+3	0.00310	0.02007
18	0, 3, 4	+3+1	0.00195	0.04715
18	0, 4, 5	+3+1	0.00583	0.10814
18	0, 7, 9	+3+1	0.00102	0.00992
18	0, 8, 10	+3+1	0.00679	0.05773
18	0, 11, 14	+3+1	0.00674	0.03857
18	0, 12, 15	+3+1	0.00084	0.00439
18	0, 1, 2	+3+2	0.00753	0.49220
18	0, 2, 3	+3+2	0.00564	0.22502
18	0, 3, 5	+3+2	0.00423	0.10073
18	0, 5, 8	+3+2	0.00356	0.04967
18	0, 7, 11	+3+2	0.00607	0.05818
18	0, 8, 12	+3+2	0.00716	0.06098
18	0, 10, 15	+3+2	0.00056	0.00364
19	0, 1, 2	+1+1	0.00062	0.01638
19	0, 2, 4	+1+1	0.00256	0.03295
19	0, 3, 6	+1+1	0.00598	0.04979
19	0, 5, 9	+1+1	0.00517	0.02693
19	0, 6, 11	+1+1	0.00196	0.00817
19	0, 8, 14	+1+1	0.00505	0.01591
19	0, 9, 16	+1+1	0.00687	0.01871
19	0, 1, 3	+1+2	0.00133	0.03454
19	0, 2, 6	+1+2	0.00557	0.06902
19	0, 3, 8	+1+2	0.00255	0.02268
19	0, 4, 11	+1+2	0.00709	0.04386
19	0, 5, 13	+1+2	0.00206	0.01040
19	0, 6, 15	+1+2	0.00178	0.00755
19	0, 7, 17	+1+2	0.00428	0.01554
19	0, 1, 3	+1+3	0.00799	0.27146
19	0, 1, 4	+1+3	0.00206	0.05263
19	0, 2, 7	+1+3	0.00287	0.03943
19	0, 3, 10	+1+3	0.00543	0.04948
19	0, 3, 11	+1+3	0.00755	0.06184
19	0, 4, 13	+1+3	0.00524	0.03488
19	0, 5, 16	+1+3	0.00188	0.00966
19	0, 2, 3	+2+1	0.00118	0.03073
19	0, 4, 6	+2+1	0.00501	0.06229
19	0, 5, 7	+2+1	0.00511	0.05244
19	0, 7, 10	+2+1	0.00213	0.01470
19	0, 8, 11	+2+1	0.00810	0.04942
19	0, 10, 14	+2+1	0.00341	0.01578
19	0, 11, 15	+2+1	0.00676	0.02853
19	0, 1, 2	+2+3	0.00639	0.40796
19	0, 2, 5	+2+3	0.00404	0.10176
19	0, 3, 7	+2+3	0.00067	0.01148
19	0, 4, 9	+2+3	0.00153	0.01974
19	0, 5, 11	+2+3	0.00241	0.02451
19	0, 6, 13	+2+3	0.00182	0.01512
19	0, 7, 15	+2+3	0.00041	0.00282
19	0, 8, 17	+2+3	0.00446	0.02639
19	0, 3, 4	+3+1	0.00174	0.04462
19	0, 4, 5	+3+1	0.00563	0.11072
19	0, 6, 8	+3+1	0.00759	0.09109
19	0, 7, 9	+3+1	0.00044	0.00455
19	0, 8, 10	+3+1	0.00698	0.06316
19	0, 11, 14	+3+1	0.00491	0.02998
19	0, 12, 15	+3+1	0.00234	0.01304
19	0, 1, 2	+3+2	0.00708	0.48982
19	0, 2, 3	+3+2	0.00540	0.22780
19	0, 3, 5	+3+2	0.00378	0.09534
19	0, 5, 8	+3+2	0.00278	0.04125
19	0, 7, 11	+3+2	0.00456	0.04660
19	0, 8, 12	+3+2	0.00802	0.07286
19	0, 10, 15	+3+2	0.00273	0.01888
19	0, 12, 18	+3+2	0.00665	0.03654
20	0, 1, 2	+1+1	0.00056	0.01556
20	0, 2, 4	+1+1	0.00230	0.03128
20	0, 3, 6	+1+1	0.00537	0.04724
20	0, 5, 9	+1+1	0.00553	0.03054
20	0, 6, 11	+1+1	0.00080	0.00356
20	0, 8, 14	+1+1	0.00649	0.02168
20	0, 9, 16	+1+1	0.00403	0.01164
20	0, 11, 19	+1+1	0.00166	0.00392
20	0, 1, 3	+1+2	0.00119	0.03282
20	0, 2, 6	+1+2	0.00500	0.06557
20	0, 3, 8	+1+2	0.00291	0.02739
20	0, 4, 11	+1+2	0.00569	0.03735
20	0, 5, 13	+1+2	0.00049	0.00262
20	0, 6, 15	+1+2	0.00368	0.01658
20	0, 7, 17	+1+2	0.00670	0.02586
20	0, 1, 3	+1+3	0.00764	0.27369
20	0, 1, 4	+1+3	0.00185	0.05002
20	0, 2, 7	+1+3	0.00304	0.04427
20	0, 2, 8	+1+3	0.00786	0.09929
20	0, 3, 10	+1+3	0.00584	0.05647
20	0, 3, 11	+1+3	0.00626	0.05448
20	0, 4, 13	+1+3	0.00622	0.04400
20	0, 4, 14	+1+3	0.00721	0.04684
20	0, 5, 16	+1+3	0.00381	0.02091
20	0, 6, 19	+1+3	0.00177	0.00780
20	0, 2, 3	+2+1	0.00106	0.02917
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