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Delta-rational triads in small edos: Difference between revisions

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Shown below are approximate [[delta-rational chord|delta-rational]] triads in edos < 24 with naive least-squares error < 0.00810. All delta signatures are in the 3-integer limit.
<noinclude>Shown below are approximate [[delta-rational chord|delta-rational]] triads spanning an interval < octave, in edos < 24, with least-squares error < 0.01. All delta signatures are in the 3-integer limit.
 
</noinclude>
[[Category:Tables]]
{| class="wikitable sortable"
!|edo
!|chord
!|delta signature
!|least-squares error
|-
|6
|0,1,2
| +1+1
|0.00707
|-
|6
|0,2,5
| +1+2
|0.00072
|-
|6
|0,4,5
| +3+1
|0.00085
|-
|7
|0,1,2
| +1+1
|0.00511
|-
|7
|0,2,3
| +2+1
|0.00983
|-
|7
|0,2,5
| +1+2
|0.00579
|-
|7
|0,4,5
| +3+1
|0.00444
|-
|7
|0,4,6
| +3+2
|0.00077
|-
|8
|0,1,2
| +1+1
|0.00386
|-
|8
|0,1,3
| +1+2
|0.00895
|-
|8
|0,2,3
| +2+1
|0.00737
|-
|8
|0,2,3
| +3+2
|0.00981
|-
|8
|0,2,5
| +1+2
|0.00898
|-
|8
|0,4,5
| +3+1
|0.00611
|-
|8
|0,4,6
| +3+2
|0.00454
|-
|8
|0,4,7
| +1+1
|0.00263
|-
|9
|0,1,2
| +1+1
|0.00302
|-
|9
|0,1,3
| +1+2
|0.00698
|-
|9
|0,2,3
| +2+1
|0.00573
|-
|9
|0,2,3
| +3+2
|0.00935
|-
|9
|0,3,4
| +3+1
|0.00862
|-
|9
|0,4,5
| +3+1
|0.00686
|-
|9
|0,4,6
| +3+2
|0.00738
|-
|9
|0,4,7
| +1+1
|0.00334
|-
|9
|0,5,7
| +2+1
|0.00559
|-
|10
|0,1,2
| +1+1
|0.00243
|-
|10
|0,1,3
| +1+2
|0.00559
|-
|10
|0,1,4
| +1+3
|0.00917
|-
|10
|0,2,3
| +2+1
|0.00458
|-
|10
|0,2,3
| +3+2
|0.00885
|-
|10
|0,2,7
| +1+3
|0.00840
|-
|10
|0,3,4
| +3+1
|0.00686
|-
|10
|0,4,5
| +3+1
|0.00715
|-
|10
|0,4,6
| +3+2
|0.00891
|-
|10
|0,4,7
| +1+1
|0.00684
|-
|10
|0,5,7
| +2+1
|0.00180
|-
|10
|0,6,9
| +3+2
|0.00347
|-
|11
|0,1,2
| +1+1
|0.00199
|-
|11
|0,1,3
| +1+2
|0.00458
|-
|11
|0,1,4
| +1+3
|0.00750
|-
|11
|0,2,3
| +2+1
|0.00375
|-
|11
|0,2,3
| +3+2
|0.00836
|-
|11
|0,2,4
| +1+1
|0.00850
|-
|11
|0,2,7
| +1+3
|0.00485
|-
|11
|0,3,4
| +3+1
|0.00558
|-
|11
|0,4,5
| +3+1
|0.00719
|-
|11
|0,4,6
| +3+2
|0.00970
|-
|11
|0,4,7
| +1+1
|0.00892
|-
|11
|0,4,10
| +1+2
|0.00632
|-
|11
|0,5,7
| +2+1
|0.00063
|-
|11
|0,6,9
| +3+2
|0.00139
|-
|11
|0,8,10
| +3+1
|0.00234
|-
|12
|0,1,2
| +1+1
|0.00167
|-
|12
|0,1,3
| +1+2
|0.00382
|-
|12
|0,1,4
| +1+3
|0.00624
|-
|12
|0,2,3
| +2+1
|0.00312
|-
|12
|0,2,3
| +3+2
|0.00790
|-
|12
|0,2,4
| +1+1
|0.00707
|-
|12
|0,2,7
| +1+3
|0.00239
|-
|12
|0,3,4
| +3+1
|0.00463
|-
|12
|0,3,8
| +1+2
|0.00699
|-
|12
|0,3,10
| +1+3
|0.00706
|-
|12
|0,4,5
| +3+1
|0.00710
|-
|12
|0,4,10
| +1+2
|0.00072
|-
|12
|0,5,7
| +2+1
|0.00224
|-
|12
|0,5,9
| +1+1
|0.00571
|-
|12
|0,6,9
| +3+2
|0.00454
|-
|12
|0,8,10
| +3+1
|0.00085
|-
|12
|0,8,11
| +2+1
|0.00376
|-
|13
|0,1,2
| +1+1
|0.00141
|-
|13
|0,1,2
| +2+3
|0.00985
|-
|13
|0,1,3
| +1+2
|0.00324
|-
|13
|0,1,4
| +1+3
|0.00528
|-
|13
|0,2,3
| +2+1
|0.00264
|-
|13
|0,2,3
| +3+2
|0.00747
|-
|13
|0,2,4
| +1+1
|0.00597
|-
|13
|0,2,5
| +2+3
|0.00977
|-
|13
|0,2,7
| +1+3
|0.00065
|-
|13
|0,3,4
| +3+1
|0.00391
|-
|13
|0,3,5
| +3+2
|0.00870
|-
|13
|0,3,7
| +2+3
|0.00758
|-
|13
|0,3,8
| +1+2
|0.00410
|-
|13
|0,3,10
| +1+3
|0.00298
|-
|13
|0,4,5
| +3+1
|0.00694
|-
|13
|0,4,9
| +2+3
|0.00871
|-
|13
|0,4,10
| +1+2
|0.00312
|-
|13
|0,5,7
| +2+1
|0.00331
|-
|13
|0,5,9
| +1+1
|0.00228
|-
|13
|0,5,12
| +1+2
|0.00721
|-
|13
|0,6,9
| +3+2
|0.00662
|-
|13
|0,7,9
| +3+1
|0.00766
|-
|13
|0,7,12
| +1+1
|0.00410
|-
|13
|0,8,10
| +3+1
|0.00299
|-
|13
|0,8,11
| +2+1
|0.00014
|-
|13
|0,8,12
| +3+2
|0.00506
|-
|14
|0,1,2
| +1+1
|0.00121
|-
|14
|0,1,2
| +2+3
|0.00921
|-
|14
|0,1,3
| +1+2
|0.00278
|-
|14
|0,1,4
| +1+3
|0.00452
|-
|14
|0,2,3
| +2+1
|0.00226
|-
|14
|0,2,3
| +3+2
|0.00708
|-
|14
|0,2,4
| +1+1
|0.00511
|-
|14
|0,2,5
| +2+3
|0.00835
|-
|14
|0,2,7
| +1+3
|0.00061
|-
|14
|0,3,4
| +3+1
|0.00334
|-
|14
|0,3,5
| +3+2
|0.00743
|-
|14
|0,3,7
| +2+3
|0.00561
|-
|14
|0,3,8
| +1+2
|0.00198
|-
|14
|0,3,10
| +1+3
|0.00004
|-
|14
|0,4,5
| +3+1
|0.00675
|-
|14
|0,4,6
| +2+1
|0.00983
|-
|14
|0,4,9
| +2+3
|0.00561
|-
|14
|0,4,10
| +1+2
|0.00579
|-
|14
|0,4,13
| +1+3
|0.00773
|-
|14
|0,5,7
| +2+1
|0.00403
|-
|14
|0,5,8
| +3+2
|0.00947
|-
|14
|0,5,9
| +1+1
|0.00017
|-
|14
|0,5,11
| +2+3
|0.00878
|-
|14
|0,6,9
| +3+2
|0.00800
|-
|14
|0,7,9
| +3+1
|0.00554
|-
|14
|0,7,12
| +1+1
|0.00800
|-
|14
|0,8,10
| +3+1
|0.00444
|-
|14
|0,8,11
| +2+1
|0.00285
|-
|14
|0,8,12
| +3+2
|0.00077
|-
|15
|0,1,2
| +1+1
|0.00105
|-
|15
|0,1,2
| +2+3
|0.00865
|-
|15
|0,1,2
| +3+2
|0.00955
|-
|15
|0,1,3
| +1+2
|0.00241
|-
|15
|0,1,4
| +1+3
|0.00392
|-
|15
|0,2,3
| +2+1
|0.00196
|-
|15
|0,2,3
| +3+2
|0.00672
|-
|15
|0,2,4
| +1+1
|0.00442
|-
|15
|0,2,5
| +2+3
|0.00722
|-
|15
|0,2,7
| +1+3
|0.00152
|-
|15
|0,3,4
| +3+1
|0.00289
|-
|15
|0,3,5
| +3+2
|0.00641
|-
|15
|0,3,7
| +2+3
|0.00411
|-
|15
|0,3,8
| +1+2
|0.00042
|-
|15
|0,3,10
| +1+3
|0.00209
|-
|15
|0,4,5
| +3+1
|0.00653
|-
|15
|0,4,6
| +2+1
|0.00847
|-
|15
|0,4,9
| +2+3
|0.00329
|-
|15
|0,4,10
| +1+2
|0.00766
|-
|15
|0,4,13
| +1+3
|0.00321
|-
|15
|0,5,7
| +2+1
|0.00451
|-
|15
|0,5,8
| +3+2
|0.00746
|-
|15
|0,5,9
| +1+1
|0.00194
|-
|15
|0,5,11
| +2+3
|0.00512
|-
|15
|0,6,9
| +3+2
|0.00891
|-
|15
|0,6,13
| +2+3
|0.00997
|-
|15
|0,7,9
| +3+1
|0.00394
|-
|15
|0,7,10
| +2+1
|0.00822
|-
|15
|0,8,10
| +3+1
|0.00543
|-
|15
|0,8,11
| +2+1
|0.00477
|-
|15
|0,8,12
| +3+2
|0.00231
|-
|15
|0,8,14
| +1+1
|0.00714
|-
|16
|0,1,2
| +1+1
|0.00092
|-
|16
|0,1,2
| +2+3
|0.00815
|-
|16
|0,1,2
| +3+2
|0.00887
|-
|16
|0,1,3
| +1+2
|0.00211
|-
|16
|0,1,4
| +1+3
|0.00343
|-
|16
|0,2,3
| +2+1
|0.00171
|-
|16
|0,2,3
| +3+2
|0.00639
|-
|16
|0,2,4
| +1+1
|0.00386
|-
|16
|0,2,5
| +2+3
|0.00630
|-
|16
|0,2,6
| +1+2
|0.00895
|-
|16
|0,2,7
| +1+3
|0.00220
|-
|16
|0,3,4
| +3+1
|0.00252
|-
|16
|0,3,5
| +3+2
|0.00559
|-
|16
|0,3,6
| +1+1
|0.00908
|-
|16
|0,3,7
| +2+3
|0.00294
|-
|16
|0,3,8
| +1+2
|0.00076
|-
|16
|0,3,10
| +1+3
|0.00366
|-
|16
|0,4,5
| +3+1
|0.00631
|-
|16
|0,4,6
| +2+1
|0.00737
|-
|16
|0,4,6
| +3+2
|0.00981
|-
|16
|0,4,9
| +2+3
|0.00154
|-
|16
|0,4,10
| +1+2
|0.00898
|-
|16
|0,4,13
| +1+3
|0.00016
|-
|16
|0,5,7
| +2+1
|0.00483
|-
|16
|0,5,8
| +3+2
|0.00590
|-
|16
|0,5,9
| +1+1
|0.00325
|-
|16
|0,5,11
| +2+3
|0.00236
|-
|16
|0,6,9
| +3+2
|0.00950
|-
|16
|0,6,11
| +1+1
|0.00792
|-
|16
|0,6,13
| +2+3
|0.00572
|-
|16
|0,6,15
| +1+2
|0.00873
|-
|16
|0,7,9
| +3+1
|0.00272
|-
|16
|0,7,10
| +2+1
|0.00612
|-
|16
|0,8,10
| +3+1
|0.00611
|-
|16
|0,8,11
| +2+1
|0.00613
|-
|16
|0,8,12
| +3+2
|0.00454
|-
|16
|0,8,14
| +1+1
|0.00263
|-
|16
|0,10,15
| +3+2
|0.00611
|-
|16
|0,11,15
| +2+1
|0.00030
|-
|16
|0,12,15
| +3+1
|0.00373
|-
|17
|0,1,2
| +1+1
|0.00082
|-
|17
|0,1,2
| +2+3
|0.00771
|-
|17
|0,1,2
| +3+2
|0.00828
|-
|17
|0,1,3
| +1+2
|0.00186
|-
|17
|0,1,4
| +1+3
|0.00302
|-
|17
|0,2,3
| +2+1
|0.00151
|-
|17
|0,2,3
| +3+2
|0.00609
|-
|17
|0,2,4
| +1+1
|0.00340
|-
|17
|0,2,5
| +2+3
|0.00555
|-
|17
|0,2,6
| +1+2
|0.00787
|-
|17
|0,2,7
| +1+3
|0.00270
|-
|17
|0,3,4
| +3+1
|0.00222
|-
|17
|0,3,5
| +3+2
|0.00492
|-
|17
|0,3,6
| +1+1
|0.00798
|-
|17
|0,3,7
| +2+3
|0.00203
|-
|17
|0,3,8
| +1+2
|0.00165
|-
|17
|0,3,10
| +1+3
|0.00482
|-
|17
|0,4,5
| +3+1
|0.00610
|-
|17
|0,4,6
| +2+1
|0.00647
|-
|17
|0,4,6
| +3+2
|0.00959
|-
|17
|0,4,9
| +2+3
|0.00019
|-
|17
|0,4,10
| +1+2
|0.00991
|-
|17
|0,4,13
| +1+3
|0.00270
|-
|17
|0,5,7
| +2+1
|0.00503
|-
|17
|0,5,8
| +3+2
|0.00466
|-
|17
|0,5,9
| +1+1
|0.00421
|-
|17
|0,5,11
| +2+3
|0.00026
|-
|17
|0,5,13
| +1+2
|0.00729
|-
|17
|0,5,16
| +1+3
|0.00440
|-
|17
|0,6,8
| +3+1
|0.00977
|-
|17
|0,6,9
| +3+2
|0.00986
|-
|17
|0,6,11
| +1+1
|0.00549
|-
|17
|0,6,13
| +2+3
|0.00247
|-
|17
|0,6,15
| +1+2
|0.00421
|-
|17
|0,7,9
| +3+1
|0.00177
|-
|17
|0,7,10
| +2+1
|0.00449
|-
|17
|0,7,11
| +3+2
|0.00819
|-
|17
|0,7,15
| +2+3
|0.00711
|-
|17
|0,8,10
| +3+1
|0.00656
|-
|17
|0,8,11
| +2+1
|0.00709
|-
|17
|0,8,12
| +3+2
|0.00618
|-
|17
|0,8,14
| +1+1
|0.00076
|-
|17
|0,10,14
| +2+1
|0.00827
|-
|17
|0,10,15
| +3+2
|0.00232
|-
|17
|0,11,14
| +3+1
|0.00915
|-
|17
|0,11,15
| +2+1
|0.00316
|-
|17
|0,12,15
| +3+1
|0.00113
|-
|17
|0,13,16
| +3+1
|0.00724
|-
|18
|0,1,2
| +1+1
|0.00073
|-
|18
|0,1,2
| +2+3
|0.00731
|-
|18
|0,1,2
| +3+2
|0.00776
|-
|18
|0,1,3
| +1+2
|0.00166
|-
|18
|0,1,3
| +1+3
|0.00978
|-
|18
|0,1,3
| +2+3
|0.00982
|-
|18
|0,1,4
| +1+3
|0.00268
|-
|18
|0,2,3
| +2+1
|0.00134
|-
|18
|0,2,3
| +3+1
|0.00953
|-
|18
|0,2,3
| +3+2
|0.00582
|-
|18
|0,2,4
| +1+1
|0.00302
|-
|18
|0,2,5
| +1+2
|0.00985
|-
|18
|0,2,5
| +2+3
|0.00492
|-
|18
|0,2,6
| +1+2
|0.00698
|-
|18
|0,2,7
| +1+3
|0.00307
|-
|18
|0,3,4
| +2+1
|0.00971
|-
|18
|0,3,4
| +3+1
|0.00197
|-
|18
|0,3,5
| +3+2
|0.00436
|-
|18
|0,3,6
| +1+1
|0.00707
|-
|18
|0,3,7
| +2+3
|0.00130
|-
|18
|0,3,8
| +1+2
|0.00233
|-
|18
|0,3,10
| +1+3
|0.00569
|-
|18
|0,4,5
| +3+1
|0.00589
|-
|18
|0,4,6
| +2+1
|0.00573
|-
|18
|0,4,6
| +3+2
|0.00935
|-
|18
|0,4,9
| +2+3
|0.00085
|-
|18
|0,4,11
| +1+2
|0.00985
|-
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|0.00632
|-
|22
|0,9,13
| +2+1
|0.00816
|-
|22
|0,9,14
| +3+2
|0.00424
|-
|22
|0,9,16
| +1+1
|0.00009
|-
|22
|0,9,19
| +2+3
|0.00000
|-
|22
|0,10,13
| +3+1
|0.00751
|-
|22
|0,10,14
| +2+1
|0.00063
|-
|22
|0,10,15
| +3+2
|0.00694
|-
|22
|0,10,21
| +2+3
|0.00489
|-
|22
|0,11,14
| +3+1
|0.00129
|-
|22
|0,11,15
| +2+1
|0.00971
|-
|22
|0,11,17
| +3+2
|0.00962
|-
|22
|0,11,19
| +1+1
|0.00415
|-
|22
|0,12,15
| +3+1
|0.00514
|-
|22
|0,12,18
| +3+2
|0.00139
|-
|22
|0,12,21
| +1+1
|0.00896
|-
|22
|0,13,18
| +2+1
|0.00220
|-
|22
|0,14,19
| +2+1
|0.00678
|-
|22
|0,14,21
| +3+2
|0.00740
|-
|22
|0,15,19
| +3+1
|0.00853
|-
|22
|0,16,20
| +3+1
|0.00234
|-
|22
|0,17,21
| +3+1
|0.00406
|-
|23
|0,1,2
| +1+1
|0.00044
|-
|23
|0,1,2
| +2+1
|0.00918
|-
|23
|0,1,2
| +2+3
|0.00580
|-
|23
|0,1,2
| +3+2
|0.00591
|-
|23
|0,1,3
| +1+2
|0.00100
|-
|23
|0,1,3
| +1+3
|0.00785
|-
|23
|0,1,3
| +2+3
|0.00733
|-
|23
|0,1,4
| +1+3
|0.00162
|-
|23
|0,2,3
| +2+1
|0.00081
|-
|23
|0,2,3
| +3+1
|0.00714
|-
|23
|0,2,3
| +3+2
|0.00473
|-
|23
|0,2,4
| +1+1
|0.00182
|-
|23
|0,2,5
| +1+2
|0.00840
|-
|23
|0,2,5
| +2+3
|0.00295
|-
|23
|0,2,6
| +1+2
|0.00418
|-
|23
|0,2,7
| +1+3
|0.00386
|-
|23
|0,2,8
| +1+3
|0.00683
|-
|23
|0,3,4
| +2+1
|0.00782
|-
|23
|0,3,4
| +3+1
|0.00118
|-
|23
|0,3,5
| +3+2
|0.00261
|-
|23
|0,3,6
| +1+1
|0.00422
|-
|23
|0,3,7
| +2+3
|0.00069
|-
|23
|0,3,8
| +1+2
|0.00397
|-
|23
|0,3,9
| +1+2
|0.00980
|-
|23
|0,3,10
| +1+3
|0.00758
|-
|23
|0,3,11
| +1+3
|0.00412
|-
|23
|0,4,5
| +3+1
|0.00496
|-
|23
|0,4,6
| +2+1
|0.00341
|-
|23
|0,4,6
| +3+2
|0.00813
|-
|23
|0,4,8
| +1+1
|0.00774
|-
|23
|0,4,9
| +2+3
|0.00352
|-
|23
|0,4,11
| +1+2
|0.00308
|-
|23
|0,4,13
| +1+3
|0.00929
|-
|23
|0,4,14
| +1+3
|0.00351
|-
|23
|0,5,7
| +2+1
|0.00514
|-
|23
|0,5,8
| +3+2
|0.00084
|-
|23
|0,5,9
| +1+1
|0.00645
|-
|23
|0,5,11
| +2+3
|0.00546
|-
|23
|0,5,13
| +1+2
|0.00293
|-
|23
|0,5,16
| +1+3
|0.00874
|-
|23
|0,5,17
| +1+3
|0.00528
|-
|23
|0,6,8
| +3+1
|0.00508
|-
|23
|0,6,9
| +2+1
|0.00808
|-
|23
|0,6,9
| +3+2
|0.00995
|-
|23
|0,6,11
| +1+1
|0.00157
|-
|23
|0,6,13
| +2+3
|0.00642
|-
|23
|0,6,15
| +1+2
|0.00816
|-
|23
|0,6,16
| +1+2
|0.00884
|-
|23
|0,6,19
| +1+3
|0.00564
|-
|23
|0,6,20
| +1+3
|0.00970
|-
|23
|0,7,9
| +3+1
|0.00095
|-
|23
|0,7,10
| +2+1
|0.00033
|-
|23
|0,7,11
| +3+2
|0.00086
|-
|23
|0,7,13
| +1+1
|0.00466
|-
|23
|0,7,15
| +2+3
|0.00631
|-
|23
|0,7,18
| +1+2
|0.00554
|-
|23
|0,7,22
| +1+3
|0.00033
|-
|23
|0,8,10
| +3+1
|0.00716
|-
|23
|0,8,11
| +2+1
|0.00899
|-
|23
|0,8,12
| +3+2
|0.00993
|-
|23
|0,8,14
| +1+1
|0.00962
|-
|23
|0,8,17
| +2+3
|0.00502
|-
|23
|0,8,20
| +1+2
|0.00325
|-
|23
|0,9,13
| +2+1
|0.00693
|-
|23
|0,9,14
| +3+2
|0.00296
|-
|23
|0,9,16
| +1+1
|0.00167
|-
|23
|0,9,19
| +2+3
|0.00246
|-
|23
|0,9,22
| +1+2
|0.00208
|-
|23
|0,10,13
| +3+1
|0.00647
|-
|23
|0,10,14
| +2+1
|0.00152
|-
|23
|0,10,15
| +3+2
|0.00777
|-
|23
|0,10,18
| +1+1
|0.00793
|-
|23
|0,10,21
| +2+3
|0.00151
|-
|23
|0,11,14
| +3+1
|0.00048
|-
|23
|0,11,17
| +3+2
|0.00746
|-
|23
|0,11,19
| +1+1
|0.00625
|-
|23
|0,12,15
| +3+1
|0.00568
|-
|23
|0,12,17
| +2+1
|0.00885
|-
|23
|0,12,18
| +3+2
|0.00313
|-
|23
|0,12,21
| +1+1
|0.00549
|-
|23
|0,13,18
| +2+1
|0.00047
|-
|23
|0,13,22
| +1+1
|0.00877
|-
|23
|0,14,19
| +2+1
|0.00817
|-
|23
|0,14,21
| +3+2
|0.00436
|-
|23
|0,15,19
| +3+1
|0.00656
|-
|23
|0,15,22
| +3+2
|0.00633
|-
|23
|0,16,20
| +3+1
|0.00058
|-
|23
|0,16,22
| +2+1
|0.00634
|-
|23
|0,17,21
| +3+1
|0.00558
|}
[[Category:Triads]]
Retrieved from "https://en.xen.wiki/w/Delta-rational_triads_in_small_edos"