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The tables below show chords that approximate 3-integer-limit [[delta-rational]] chords with least-squares error less than 0.0015.  
The tables below show chords that approximate 3-integer-limit [[delta-rational]] chords with least-squares error less than 0.0015.  
=== Fully delta-rational triads ===
=== Fully delta-rational triads ===
{| class="mw-collapsible mw-collapsed class="wikitable sortable"
!Steps
!Delta signature
!Least-squares error
|-
|0,1,2
| +1 +1
|0.00024
|-
|0,1,3
| +1 +2
|0.00052
|-
|0,1,4
| +1 +3
|0.00081
|-
|0,2,3
| +2 +1
|0.00046
|-
|0,2,4
| +1 +1
|0.00100
|-
|0,3,4
| +3 +1
|0.00068
|-
|0,3,5
| +3 +2
|0.00146
|-
|0,3,7
| +2 +3
|0.00144
|-
|0,3,11
| +1 +3
|0.00055
|-
|0,4,11
| +1 +2
|0.00035
|-
|0,4,14
| +1 +3
|0.00131
|-
|0,5,8
| +3 +2
|0.00055
|-
|0,6,16
| +1 +2
|0.00037
|-
|0,7,13
| +1 +1
|0.00033
|-
|0,7,23
| +1 +3
|0.00021
|-
|0,10,25
| +1 +2
|0.00064
|-
|0,11,17
| +3 +2
|0.00061
|-
|0,11,27
| +1 +2
|0.00065
|-
|0,12,17
| +2 +1
|0.00102
|-
|0,12,29
| +1 +2
|0.00133
|-
|0,13,23
| +1 +1
|0.00028
|-
|0,14,29
| +2 +3
|0.00017
|-
|0,15,19
| +3 +1
|0.00068
|-
|0,20,25
| +3 +1
|0.00084
|}
=== Partially delta-rational tetrads ===
=== Partially delta-rational tetrads ===
{|class="mw-collapsible mw-collapsed class="wikitable sortable"
!Steps
!Delta signature
!Least-squares error
|-
|0,1,2,3
| +1 +? +1
|0.00064
|-
|0,1,2,4
| +1 +? +2
|0.00114
|-
|0,1,3,4
| +1 +? +1
|0.00097
|-
|0,1,4,5
| +1 +? +1
|0.00131
|-
|0,1,14,15
| +2 +? +3
|0.00134
|-
|0,1,14,16
| +1 +? +3
|0.00144
|-
|0,1,15,16
| +2 +? +3
|0.00097
|-
|0,1,15,17
| +1 +? +3
|0.00098
|-
|0,1,16,17
| +2 +? +3
|0.00060
|-
|0,1,16,18
| +1 +? +3
|0.00050
|-
|0,1,17,18
| +2 +? +3
|0.00021
|-
|0,1,17,19
| +1 +? +3
|0.00002
|-
|0,1,18,19
| +2 +? +3
|0.00018
|-
|0,1,18,20
| +1 +? +3
|0.00047
|-
|0,1,19,20
| +2 +? +3
|0.00058
|-
|0,1,19,21
| +1 +? +3
|0.00098
|-
|0,1,20,21
| +2 +? +3
|0.00099
|-
|0,1,20,22
| +1 +? +3
|0.00149
|-
|0,1,21,22
| +2 +? +3
|0.00141
|-
|0,1,27,28
| +1 +? +2
|0.00128
|-
|0,1,28,29
| +1 +? +2
|0.00086
|-
|0,2,3,4
| +2 +? +1
|0.00094
|-
|0,2,4,5
| +2 +? +1
|0.00133
|-
|0,2,5,10
| +1 +? +3
|0.00133
|-
|0,2,6,11
| +1 +? +3
|0.00036
|-
|0,2,7,12
| +1 +? +3
|0.00063
|-
|0,2,10,11
| +3 +? +2
|0.00133
|-
|0,2,11,12
| +3 +? +2
|0.00089
|-
|0,2,11,14
| +1 +? +2
|0.00084
|-
|0,2,12,13
| +3 +? +2
|0.00044
|-
|0,2,12,15
| +1 +? +2
|0.00005
|-
|0,2,13,14
| +3 +? +2
|0.00002
|-
|0,2,13,16
| +1 +? +2
|0.00095
|-
|0,2,14,15
| +3 +? +2
|0.00049
|-
|0,2,15,16
| +3 +? +2
|0.00098
|-
|0,2,15,19
| +1 +? +3
|0.00149
|-
|0,2,16,17
| +3 +? +2
|0.00147
|-
|0,2,16,18
| +2 +? +3
|0.00121
|-
|0,2,16,20
| +1 +? +3
|0.00053
|-
|0,2,17,19
| +2 +? +3
|0.00043
|-
|0,2,17,21
| +1 +? +3
|0.00046
|-
|0,2,18,20
| +2 +? +3
|0.00036
|-
|0,2,18,22
| +1 +? +3
|0.00147
|-
|0,2,19,21
| +2 +? +3
|0.00117
|-
|0,3,4,5
| +3 +? +1
|0.00118
|-
|0,3,4,8
| +2 +? +3
|0.00071
|-
|0,3,5,9
| +2 +? +3
|0.00050
|-
|0,3,6,11
| +1 +? +2
|0.00117
|-
|0,3,7,12
| +1 +? +2
|0.00017
|-
|0,3,8,15
| +1 +? +3
|0.00125
|-
|0,3,9,16
| +1 +? +3
|0.00024
|-
|0,3,16,17
| +2 +? +1
|0.00137
|-
|0,3,16,20
| +1 +? +2
|0.00139
|-
|0,3,16,22
| +1 +? +3
|0.00003
|-
|0,3,17,18
| +2 +? +1
|0.00085
|-
|0,3,17,19
| +1 +? +1
|0.00100
|-
|0,3,17,20
| +2 +? +3
|0.00066
|-
|0,3,17,21
| +1 +? +2
|0.00006
|-
|0,3,17,23
| +1 +? +3
|0.00148
|-
|0,3,18,19
| +2 +? +1
|0.00031
|-
|0,3,18,20
| +1 +? +1
|0.00005
|-
|0,3,18,21
| +2 +? +3
|0.00055
|-
|0,3,18,22
| +1 +? +2
|0.00131
|-
|0,3,19,20
| +2 +? +1
|0.00025
|-
|0,3,19,21
| +1 +? +1
|0.00092
|-
|0,3,20,21
| +2 +? +1
|0.00081
|-
|0,3,21,22
| +2 +? +1
|0.00139
|-
|0,3,24,29
| +1 +? +3
|0.00063
|-
|0,4,5,12
| +1 +? +2
|0.00139
|-
|0,4,5,15
| +1 +? +3
|0.00038
|-
|0,4,7,12
| +2 +? +3
|0.00062
|-
|0,4,8,13
| +2 +? +3
|0.00101
|-
|0,4,10,19
| +1 +? +3
|0.00023
|-
|0,4,11,12
| +3 +? +1
|0.00147
|-
|0,4,11,17
| +1 +? +2
|0.00078
|-
|0,4,12,13
| +3 +? +1
|0.00099
|-
|0,4,12,14
| +3 +? +2
|0.00137
|-
|0,4,12,15
| +1 +? +1
|0.00122
|-
|0,4,12,18
| +1 +? +2
|0.00104
|-
|0,4,13,14
| +3 +? +1
|0.00049
|-
|0,4,13,15
| +3 +? +2
|0.00044
|-
|0,4,13,16
| +1 +? +1
|0.00005
|-
|0,4,14,15
| +3 +? +1
|0.00002
|-
|0,4,14,16
| +3 +? +2
|0.00052
|-
|0,4,14,17
| +1 +? +1
|0.00136
|-
|0,4,15,16
| +3 +? +1
|0.00054
|-
|0,4,15,17
| +3 +? +2
|0.00149
|-
|0,4,15,23
| +1 +? +3
|0.00101
|-
|0,4,16,17
| +3 +? +1
|0.00107
|-
|0,4,16,24
| +1 +? +3
|0.00101
|-
|0,4,17,21
| +2 +? +3
|0.00089
|-
|0,4,18,22
| +2 +? +3
|0.00074
|-
|0,4,20,25
| +1 +? +2
|0.00030
|-
|0,4,22,29
| +1 +? +3
|0.00041
|-
|0,5,6,9
| +3 +? +2
|0.00051
|-
|0,5,6,18
| +1 +? +3
|0.00011
|-
|0,5,8,16
| +1 +? +2
|0.00028
|-
|0,5,9,15
| +2 +? +3
|0.00030
|-
|0,5,10,12
| +2 +? +1
|0.00110
|-
|0,5,10,14
| +1 +? +1
|0.00027
|-
|0,5,10,21
| +1 +? +3
|0.00084
|-
|0,5,11,13
| +2 +? +1
|0.00017
|-
|0,5,11,15
| +1 +? +1
|0.00137
|-
|0,5,12,14
| +2 +? +1
|0.00078
|-
|0,5,14,21
| +1 +? +2
|0.00095
|-
|0,5,15,22
| +1 +? +2
|0.00136
|-
|0,5,15,25
| +1 +? +3
|0.00006
|-
|0,5,17,22
| +2 +? +3
|0.00112
|-
|0,5,18,23
| +2 +? +3
|0.00093
|-
|0,5,20,29
| +1 +? +3
|0.00014
|-
|0,5,21,27
| +1 +? +2
|0.00137
|-
|0,5,22,23
| +3 +? +1
|0.00135
|-
|0,5,22,28
| +1 +? +2
|0.00093
|-
|0,5,23,24
| +3 +? +1
|0.00073
|-
|0,5,23,25
| +3 +? +2
|0.00075
|-
|0,5,23,26
| +1 +? +1
|0.00020
|-
|0,5,24,25
| +3 +? +1
|0.00009
|-
|0,5,24,26
| +3 +? +2
|0.00045
|-
|0,5,24,27
| +1 +? +1
|0.00144
|-
|0,5,25,26
| +3 +? +1
|0.00057
|-
|0,5,26,27
| +3 +? +1
|0.00124
|-
|0,6,7,21
| +1 +? +3
|0.00086
|-
|0,6,8,13
| +1 +? +1
|0.00079
|-
|0,6,9,14
| +1 +? +1
|0.00120
|-
|0,6,10,17
| +2 +? +3
|0.00091
|-
|0,6,10,23
| +1 +? +3
|0.00141
|-
|0,6,11,20
| +1 +? +2
|0.00026
|-
|0,6,13,16
| +3 +? +2
|0.00142
|-
|0,6,14,17
| +3 +? +2
|0.00003
|-
|0,6,14,26
| +1 +? +3
|0.00138
|-
|0,6,16,24
| +1 +? +2
|0.00146
|-
|0,6,17,23
| +2 +? +3
|0.00136
|-
|0,6,17,25
| +1 +? +2
|0.00135
|-
|0,6,18,22
| +1 +? +1
|0.00112
|-
|0,6,18,24
| +2 +? +3
|0.00113
|-
|0,6,19,21
| +2 +? +1
|0.00066
|-
|0,6,19,23
| +1 +? +1
|0.00086
|-
|0,6,20,22
| +2 +? +1
|0.00048
|-
|0,7,8,10
| +3 +? +1
|0.00111
|-
|0,7,8,11
| +2 +? +1
|0.00095
|-
|0,7,8,12
| +3 +? +2
|0.00035
|-
|0,7,8,19
| +1 +? +2
|0.00121
|-
|0,7,9,11
| +3 +? +1
|0.00020
|-
|0,7,9,12
| +2 +? +1
|0.00039
|-
|0,7,9,13
| +3 +? +2
|0.00139
|-
|0,7,10,12
| +3 +? +1
|0.00074
|-
|0,7,10,25
| +1 +? +3
|0.00144
|-
|0,7,11,19
| +2 +? +3
|0.00075
|-
|0,7,13,23
| +1 +? +2
|0.00005
|-
|0,7,14,28
| +1 +? +3
|0.00034
|-
|0,7,15,20
| +1 +? +1
|0.00136
|-
|0,7,16,21
| +1 +? +1
|0.00097
|-
|0,7,18,25
| +2 +? +3
|0.00134
|-
|0,7,18,27
| +1 +? +2
|0.00030
|-
|0,7,21,24
| +3 +? +2
|0.00028
|-
|0,7,22,25
| +3 +? +2
|0.00146
|-
|0,7,26,28
| +2 +? +1
|0.00102
|-
|0,7,27,29
| +2 +? +1
|0.00032
|-
|0,8,10,22
| +1 +? +2
|0.00143
|-
|0,8,10,27
| +1 +? +3
|0.00088
|-
|0,8,12,21
| +2 +? +3
|0.00022
|-
|0,8,13,19
| +1 +? +1
|0.00129
|-
|0,8,14,18
| +3 +? +2
|0.00099
|-
|0,8,14,20
| +1 +? +1
|0.00142
|-
|0,8,15,17
| +3 +? +1
|0.00054
|-
|0,8,15,18
| +2 +? +1
|0.00001
|-
|0,8,15,19
| +3 +? +2
|0.00101
|-
|0,8,15,26
| +1 +? +2
|0.00130
|-
|0,8,16,18
| +3 +? +1
|0.00053
|-
|0,8,19,29
| +1 +? +2
|0.00117
|-
|0,8,22,27
| +1 +? +1
|0.00033
|-
|0,9,10,15
| +3 +? +2
|0.00013
|-
|0,9,10,29
| +1 +? +3
|0.00029
|-
|0,9,12,19
| +1 +? +1
|0.00028
|-
|0,9,12,25
| +1 +? +2
|0.00000
|-
|0,9,16,28
| +1 +? +2
|0.00005
|-
|0,9,19,25
| +1 +? +1
|0.00028
|-
|0,9,20,22
| +3 +? +1
|0.00136
|-
|0,9,20,23
| +2 +? +1
|0.00109
|-
|0,9,20,24
| +3 +? +2
|0.00025
|-
|0,9,21,23
| +3 +? +1
|0.00015
|-
|0,9,21,24
| +2 +? +1
|0.00068
|-
|0,9,22,24
| +3 +? +1
|0.00109
|-
|0,10,11,19
| +1 +? +1
|0.00107
|-
|0,10,12,16
| +2 +? +1
|0.00147
|-
|0,10,13,17
| +2 +? +1
|0.00052
|-
|0,10,13,24
| +2 +? +3
|0.00042
|-
|0,10,15,20
| +3 +? +2
|0.00006
|-
|0,10,17,24
| +1 +? +1
|0.00005
|-
|0,10,25,28
| +2 +? +1
|0.00138
|-
|0,10,25,29
| +3 +? +2
|0.00048
|-
|0,10,26,28
| +3 +? +1
|0.00028
|-
|0,10,26,29
| +2 +? +1
|0.00061
|-
|0,10,27,29
| +3 +? +1
|0.00111
|-
|0,11,12,15
| +3 +? +1
|0.00121
|-
|0,11,13,16
| +3 +? +1
|0.00032
|-
|0,11,13,25
| +2 +? +3
|0.00127
|-
|0,11,15,23
| +1 +? +1
|0.00130
|-
|0,11,17,21
| +2 +? +1
|0.00085
|-
|0,11,18,22
| +2 +? +1
|0.00138
|-
|0,11,20,25
| +3 +? +2
|0.00095
|-
|0,11,22,29
| +1 +? +1
|0.00143
|-
|0,12,14,23
| +1 +? +1
|0.00005
|-
|0,12,16,22
| +3 +? +2
|0.00141
|-
|0,12,17,20
| +3 +? +1
|0.00014
|-
|0,12,22,26
| +2 +? +1
|0.00081
|-
|0,12,24,29
| +3 +? +2
|0.00014
|-
|0,13,14,28
| +2 +? +3
|0.00109
|-
|0,13,15,20
| +2 +? +1
|0.00132
|-
|0,13,16,21
| +2 +? +1
|0.00137
|-
|0,13,18,27
| +1 +? +1
|0.00000
|-
|0,13,21,24
| +3 +? +1
|0.00013
|-
|0,14,16,23
| +3 +? +2
|0.00035
|-
|0,14,19,24
| +2 +? +1
|0.00067
|-
|0,14,23,29
| +3 +? +2
|0.00104
|-
|0,14,25,28
| +3 +? +1
|0.00040
|-
|0,15,16,20
| +3 +? +1
|0.00142
|-
|0,15,23,28
| +2 +? +1
|0.00083
|-
|0,16,18,24
| +2 +? +1
|0.00117
|-
|0,16,19,23
| +3 +? +1
|0.00076
|-
|0,17,20,28
| +3 +? +2
|0.00099
|-
|0,17,21,27
| +2 +? +1
|0.00067
|-
|0,17,22,26
| +3 +? +1
|0.00042
|-
|0,18,25,29
| +3 +? +1
|0.00042
|-
|0,19,20,29
| +3 +? +2
|0.00033
|-
|0,20,22,29
| +2 +? +1
|0.00124
|-
|0,21,23,28
| +3 +? +1
|0.00012
|}


== Music ==
== Music ==