View source for Partially delta-rational tetrads in small edos

Shown below are approximate [[Delta-rational chord|partially delta-rational]] tetrads with signature +a+?+b spanning an interval < octave, in edos < 24, with least-squares error < 0.001. All delta signatures are in the 3-integer limit ignoring the +? term.
{| class="wikitable sortable"
!|edo
!|chord
!|delta signature
!|least-squares error
|-
|6
|0,1,3,5
| +1+?+3
|0.00006
|-
|6
|0,2,3,4
| +3+?+2
|0.00006
|-
|7
|0,1,4,5
| +2+?+3
|0.00071
|-
|10
|0,1,6,7
| +2+?+3
|0.00055
|-
|10
|0,3,7,8
| +2+?+1
|0.00068
|-
|11
|0,1,6,8
| +1+?+3
|0.00027
|-
|11
|0,2,4,7
| +1+?+2
|0.00036
|-
|11
|0,2,5,6
| +3+?+2
|0.00026
|-
|11
|0,3,6,10
| +1+?+2
|0.00090
|-
|11
|0,3,7,9
| +1+?+1
|0.00040
|-
|11
|0,4,5,8
| +1+?+1
|0.00087
|-
|11
|0,4,6,7
| +3+?+1
|0.00043
|-
|12
|0,1,7,8
| +2+?+3
|0.00005
|-
|12
|0,2,6,10
| +1+?+3
|0.00006
|-
|12
|0,2,7,9
| +2+?+3
|0.00010
|-
|12
|0,3,7,10
| +2+?+3
|0.00016
|-
|12
|0,3,8,9
| +2+?+1
|0.00014
|-
|12
|0,4,6,8
| +3+?+2
|0.00006
|-
|12
|0,4,7,11
| +2+?+3
|0.00021
|-
|12
|0,6,9,11
| +2+?+1
|0.00077
|-
|13
|0,1,7,9
| +1+?+3
|0.00026
|-
|13
|0,1,8,9
| +2+?+3
|0.00085
|-
|13
|0,2,5,8
| +1+?+2
|0.00057
|-
|13
|0,2,6,7
| +3+?+2
|0.00025
|-
|13
|0,3,6,12
| +1+?+3
|0.00037
|-
|13
|0,3,7,11
| +1+?+2
|0.00067
|-
|13
|0,3,8,10
| +1+?+1
|0.00062
|-
|13
|0,4,6,9
| +1+?+1
|0.00065
|-
|13
|0,4,7,8
| +3+?+1
|0.00021
|-
|13
|0,6,7,10
| +3+?+2
|0.00038
|-
|14
|0,1,8,9
| +2+?+3
|0.00034
|-
|14
|0,1,8,10
| +1+?+3
|0.00073
|-
|14
|0,2,6,7
| +3+?+2
|0.00069
|-
|14
|0,2,7,11
| +1+?+3
|0.00076
|-
|14
|0,2,8,10
| +2+?+3
|0.00071
|-
|14
|0,3,9,10
| +2+?+1
|0.00054
|-
|14
|0,4,7,8
| +3+?+1
|0.00084
|-
|14
|0,4,7,9
| +3+?+2
|0.00076
|-
|14
|0,5,6,8
| +2+?+1
|0.00023
|-
|14
|0,8,9,11
| +3+?+1
|0.00036
|-
|15
|0,1,8,10
| +1+?+3
|0.00053
|-
|15
|0,1,9,10
| +2+?+3
|0.00036
|-
|15
|0,2,7,8
| +3+?+2
|0.00052
|-
|15
|0,2,9,11
| +2+?+3
|0.00074
|-
|15
|0,3,10,11
| +2+?+1
|0.00048
|-
|15
|0,4,7,9
| +3+?+2
|0.00099
|-
|15
|0,4,8,9
| +3+?+1
|0.00053
|-
|15
|0,5,13,14
| +3+?+1
|0.00028
|-
|15
|0,6,11,13
| +2+?+1
|0.00081
|-
|16
|0,1,9,10
| +2+?+3
|0.00050
|-
|16
|0,1,9,11
| +1+?+3
|0.00025
|-
|16
|0,1,10,11
| +2+?+3
|0.00091
|-
|16
|0,2,6,9
| +1+?+2
|0.00042
|-
|16
|0,2,7,8
| +3+?+2
|0.00024
|-
|16
|0,3,9,13
| +1+?+2
|0.00075
|-
|16
|0,3,10,11
| +2+?+1
|0.00074
|-
|16
|0,3,10,12
| +1+?+1
|0.00046
|-
|16
|0,4,7,10
| +1+?+1
|0.00072
|-
|16
|0,4,8,9
| +3+?+1
|0.00031
|-
|16
|0,5,14,15
| +3+?+1
|0.00040
|-
|16
|0,9,13,15
| +3+?+1
|0.00001
|-
|17
|0,1,9,11
| +1+?+3
|0.00067
|-
|17
|0,1,10,11
| +2+?+3
|0.00007
|-
|17
|0,1,10,12
| +1+?+3
|0.00087
|-
|17
|0,2,3,8
| +1+?+3
|0.00020
|-
|17
|0,2,7,8
| +3+?+2
|0.00082
|-
|17
|0,2,8,9
| +3+?+2
|0.00065
|-
|17
|0,2,9,13
| +1+?+3
|0.00024
|-
|17
|0,2,10,12
| +2+?+3
|0.00014
|-
|17
|0,3,4,11
| +1+?+3
|0.00046
|-
|17
|0,3,10,13
| +2+?+3
|0.00022
|-
|17
|0,3,11,12
| +2+?+1
|0.00007
|-
|17
|0,4,6,12
| +1+?+2
|0.00013
|-
|17
|0,4,8,9
| +3+?+1
|0.00095
|-
|17
|0,4,8,10
| +3+?+2
|0.00023
|-
|17
|0,4,8,16
| +1+?+3
|0.00090
|-
|17
|0,4,9,10
| +3+?+1
|0.00070
|-
|17
|0,4,10,14
| +2+?+3
|0.00029
|-
|17
|0,4,11,16
| +1+?+2
|0.00007
|-
|17
|0,5,6,10
| +1+?+1
|0.00006
|-
|17
|0,5,7,9
| +2+?+1
|0.00003
|-
|17
|0,5,10,15
| +2+?+3
|0.00037
|-
|17
|0,5,14,16
| +3+?+2
|0.00025
|-
|17
|0,5,15,16
| +3+?+1
|0.00092
|-
|17
|0,6,10,16
| +2+?+3
|0.00046
|-
|17
|0,6,11,15
| +1+?+1
|0.00014
|-
|17
|0,6,12,14
| +2+?+1
|0.00000
|-
|17
|0,7,13,16
| +3+?+2
|0.00055
|-
|17
|0,8,9,13
| +3+?+2
|0.00092
|-
|17
|0,8,10,12
| +3+?+1
|0.00057
|-
|17
|0,9,13,16
| +2+?+1
|0.00040
|-
|18
|0,1,10,11
| +2+?+3
|0.00058
|-
|18
|0,1,10,12
| +1+?+3
|0.00003
|-
|18
|0,1,11,12
| +2+?+3
|0.00052
|-
|18
|0,2,3,8
| +1+?+3
|0.00056
|-
|18
|0,2,7,10
| +1+?+2
|0.00009
|-
|18
|0,2,8,9
| +3+?+2
|0.00003
|-
|18
|0,3,9,15
| +1+?+3
|0.00006
|-
|18
|0,3,10,14
| +1+?+2
|0.00007
|-
|18
|0,3,11,12
| +2+?+1
|0.00084
|-
|18
|0,3,11,13
| +1+?+1
|0.00010
|-
|18
|0,3,12,13
| +2+?+1
|0.00073
|-
|18
|0,4,5,14
| +1+?+3
|0.00078
|-
|18
|0,4,8,11
| +1+?+1
|0.00007
|-
|18
|0,4,9,10
| +3+?+1
|0.00001
|-
|18
|0,5,7,9
| +2+?+1
|0.00089
|-
|18
|0,5,15,16
| +3+?+1
|0.00057
|-
|18
|0,5,15,17
| +3+?+2
|0.00070
|-
|18
|0,6,9,12
| +3+?+2
|0.00006
|-
|18
|0,8,10,13
| +2+?+1
|0.00027
|-
|18
|0,9,13,17
| +3+?+2
|0.00091
|-
|18
|0,9,14,16
| +3+?+1
|0.00056
|-
|18
|0,11,12,16
| +2+?+1
|0.00042
|-
|19
|0,1,10,12
| +1+?+3
|0.00074
|-
|19
|0,1,11,12
| +2+?+3
|0.00011
|-
|19
|0,1,11,13
| +1+?+3
|0.00048
|-
|19
|0,1,12,13
| +2+?+3
|0.00089
|-
|19
|0,2,7,10
| +1+?+2
|0.00085
|-
|19
|0,2,8,9
| +3+?+2
|0.00046
|-
|19
|0,2,9,10
| +3+?+2
|0.00073
|-
|19
|0,2,10,14
| +1+?+3
|0.00024
|-
|19
|0,2,11,13
| +2+?+3
|0.00023
|-
|19
|0,3,4,9
| +1+?+2
|0.00009
|-
|19
|0,3,5,12
| +1+?+3
|0.00066
|-
|19
|0,3,11,14
| +2+?+3
|0.00035
|-
|19
|0,3,12,13
| +2+?+1
|0.00018
|-
|19
|0,3,12,14
| +1+?+1
|0.00093
|-
|19
|0,4,7,13
| +1+?+2
|0.00068
|-
|19
|0,4,9,10
| +3+?+1
|0.00053
|-
|19
|0,4,9,11
| +3+?+2
|0.00024
|-
|19
|0,4,9,17
| +1+?+3
|0.00021
|-
|19
|0,4,10,11
| +3+?+1
|0.00079
|-
|19
|0,4,11,15
| +2+?+3
|0.00048
|-
|19
|0,5,8,10
| +2+?+1
|0.00086
|-
|19
|0,5,11,16
| +2+?+3
|0.00061
|-
|19
|0,5,15,18
| +1+?+1
|0.00011
|-
|19
|0,5,16,17
| +3+?+1
|0.00006
|-
|19
|0,6,10,18
| +1+?+2
|0.00052
|-
|19
|0,6,11,17
| +2+?+3
|0.00074
|-
|19
|0,6,12,16
| +1+?+1
|0.00074
|-
|19
|0,6,13,15
| +2+?+1
|0.00048
|-
|19
|0,7,11,18
| +2+?+3
|0.00088
|-
|19
|0,7,14,17
| +3+?+2
|0.00078
|-
|19
|0,8,9,15
| +1+?+1
|0.00051
|-
|19
|0,8,10,14
| +3+?+2
|0.00022
|-
|19
|0,8,11,13
| +3+?+1
|0.00007
|-
|19
|0,9,15,17
| +3+?+1
|0.00088
|-
|20
|0,1,11,12
| +2+?+3
|0.00061
|-
|20
|0,1,11,13
| +1+?+3
|0.00021
|-
|20
|0,1,12,13
| +2+?+3
|0.00027
|-
|20
|0,1,12,14
| +1+?+3
|0.00090
|-
|20
|0,2,4,9
| +1+?+3
|0.00061
|-
|20
|0,2,8,9
| +3+?+2
|0.00084
|-
|20
|0,2,8,11
| +1+?+2
|0.00042
|-
|20
|0,2,9,10
| +3+?+2
|0.00021
|-
|20
|0,2,11,15
| +1+?+3
|0.00072
|-
|20
|0,2,12,14
| +2+?+3
|0.00055
|-
|20
|0,3,4,9
| +1+?+2
|0.00073
|-
|20
|0,3,5,12
| +1+?+3
|0.00066
|-
|20
|0,3,10,16
| +1+?+3
|0.00055
|-
|20
|0,3,11,15
| +1+?+2
|0.00058
|-
|20
|0,3,12,13
| +2+?+1
|0.00089
|-
|20
|0,3,12,14
| +1+?+1
|0.00045
|-
|20
|0,3,12,15
| +2+?+3
|0.00084
|-
|20
|0,3,13,14
| +2+?+1
|0.00037
|-
|20
|0,4,5,10
| +2+?+3
|0.00095
|-
|20
|0,4,9,10
| +3+?+1
|0.00096
|-
|20
|0,4,9,11
| +3+?+2
|0.00070
|-
|20
|0,4,9,12
| +1+?+1
|0.00056
|-
|20
|0,4,10,11
| +3+?+1
|0.00021
|-
|20
|0,4,13,18
| +1+?+2
|0.00020
|-
|20
|0,5,6,12
| +2+?+3
|0.00037
|-
|20
|0,5,7,11
| +1+?+1
|0.00018
|-
|20
|0,5,8,10
| +2+?+1
|0.00007
|-
|20
|0,5,9,19
| +1+?+3
|0.00054
|-
|20
|0,5,16,18
| +3+?+2
|0.00075
|-
|20
|0,5,16,19
| +1+?+1
|0.00090
|-
|20
|0,5,17,18
| +3+?+1
|0.00034
|-
|20
|0,6,10,13
| +3+?+2
|0.00055
|-
|20
|0,6,14,16
| +2+?+1
|0.00068
|-
|20
|0,7,15,18
| +3+?+2
|0.00079
|-
|20
|0,8,11,13
| +3+?+1
|0.00098
|-
|20
|0,8,11,14
| +2+?+1
|0.00044
|-
|20
|0,9,15,17
| +3+?+1
|0.00090
|-
|20
|0,9,15,18
| +2+?+1
|0.00084
|-
|20
|0,10,11,16
| +3+?+2
|0.00056
|-
|20
|0,11,13,17
| +2+?+1
|0.00086
|-
|20
|0,12,13,16
| +3+?+1
|0.00002
|-
|20
|0,13,16,19
| +3+?+1
|0.00072
|-
|21
|0,1,11,13
| +1+?+3
|0.00077
|-
|21
|0,1,12,13
| +2+?+3
|0.00023
|-
|21
|0,1,12,14
| +1+?+3
|0.00022
|-
|21
|0,1,13,14
| +2+?+3
|0.00058
|-
|21
|0,2,4,9
| +1+?+3
|0.00001
|-
|21
|0,2,8,11
| +1+?+2
|0.00038
|-
|21
|0,2,9,10
| +3+?+2
|0.00021
|-
|21
|0,2,10,11
| +3+?+2
|0.00076
|-
|21
|0,2,11,15
| +1+?+3
|0.00054
|-
|21
|0,2,12,14
| +2+?+3
|0.00046
|-
|21
|0,3,11,17
| +1+?+3
|0.00079
|-
|21
|0,3,12,15
| +2+?+3
|0.00071
|-
|21
|0,3,12,16
| +1+?+2
|0.00063
|-
|21
|0,3,13,14
| +2+?+1
|0.00034
|-
|21
|0,3,13,15
| +1+?+1
|0.00042
|-
|21
|0,3,14,15
| +2+?+1
|0.00082
|-
|21
|0,4,5,10
| +2+?+3
|0.00004
|-
|21
|0,4,6,15
| +1+?+3
|0.00053
|-
|21
|0,4,9,12
| +1+?+1
|0.00060
|-
|21
|0,4,10,11
| +3+?+1
|0.00025
|-
|21
|0,4,10,12
| +3+?+2
|0.00053
|-
|21
|0,4,10,18
| +1+?+3
|0.00092
|-
|21
|0,4,11,12
| +3+?+1
|0.00083
|-
|21
|0,4,12,16
| +2+?+3
|0.00096
|-
|21
|0,5,7,11
| +1+?+1
|0.00093
|-
|21
|0,5,8,10
| +2+?+1
|0.00057
|-
|21
|0,5,17,18
| +3+?+1
|0.00069
|-
|21
|0,5,17,19
| +3+?+2
|0.00001
|-
|21
|0,5,18,19
| +3+?+1
|0.00067
|-
|21
|0,6,7,14
| +2+?+3
|0.00050
|-
|21
|0,6,7,16
| +1+?+2
|0.00091
|-
|21
|0,6,10,13
| +3+?+2
|0.00078
|-
|21
|0,6,14,16
| +2+?+1
|0.00079
|-
|21
|0,8,11,14
| +2+?+1
|0.00096
|-
|21
|0,8,11,15
| +3+?+2
|0.00093
|-
|21
|0,8,12,14
| +3+?+1
|0.00046
|-
|21
|0,9,15,19
| +3+?+2
|0.00062
|-
|21
|0,9,16,18
| +3+?+1
|0.00029
|-
|21
|0,14,15,20
| +2+?+1
|0.00046
|-
|22
|0,1,12,13
| +2+?+3
|0.00063
|-
|22
|0,1,12,14
| +1+?+3
|0.00033
|-
|22
|0,1,13,14
| +2+?+3
|0.00010
|-
|22
|0,1,13,15
| +1+?+3
|0.00058
|-
|22
|0,1,14,15
| +2+?+3
|0.00084
|-
|22
|0,2,4,9
| +1+?+3
|0.00048
|-
|22
|0,2,9,10
| +3+?+2
|0.00055
|-
|22
|0,2,9,12
| +1+?+2
|0.00063
|-
|22
|0,2,10,11
| +3+?+2
|0.00032
|-
|22
|0,2,12,16
| +1+?+3
|0.00027
|-
|22
|0,2,13,15
| +2+?+3
|0.00020
|-
|22
|0,3,5,10
| +1+?+2
|0.00060
|-
|22
|0,3,6,13
| +1+?+3
|0.00021
|-
|22
|0,3,11,17
| +1+?+3
|0.00094
|-
|22
|0,3,12,16
| +1+?+2
|0.00091
|-
|22
|0,3,13,14
| +2+?+1
|0.00090
|-
|22
|0,3,13,15
| +1+?+1
|0.00067
|-
|22
|0,3,13,16
| +2+?+3
|0.00030
|-
|22
|0,3,14,15
| +2+?+1
|0.00013
|-
|22
|0,4,5,10
| +2+?+3
|0.00084
|-
|22
|0,4,8,14
| +1+?+2
|0.00036
|-
|22
|0,4,10,11
| +3+?+1
|0.00063
|-
|22
|0,4,10,12
| +3+?+2
|0.00026
|-
|22
|0,4,10,13
| +1+?+1
|0.00088
|-
|22
|0,4,11,12
| +3+?+1
|0.00034
|-
|22
|0,4,11,19
| +1+?+3
|0.00074
|-
|22
|0,4,13,17
| +2+?+3
|0.00040
|-
|22
|0,5,9,11
| +2+?+1
|0.00070
|-
|22
|0,5,13,18
| +2+?+3
|0.00051
|-
|22
|0,5,17,20
| +1+?+1
|0.00072
|-
|22
|0,5,18,19
| +3+?+1
|0.00030
|-
|22
|0,5,18,20
| +3+?+2
|0.00060
|-
|22
|0,5,19,20
| +3+?+1
|0.00094
|-
|22
|0,6,11,14
| +3+?+2
|0.00094
|-
|22
|0,6,12,20
| +1+?+2
|0.00090
|-
|22
|0,6,13,19
| +2+?+3
|0.00063
|-
|22
|0,6,14,18
| +1+?+1
|0.00040
|-
|22
|0,6,15,17
| +2+?+1
|0.00019
|-
|22
|0,7,8,10
| +3+?+1
|0.00099
|-
|22
|0,7,8,16
| +2+?+3
|0.00063
|-
|22
|0,7,9,19
| +1+?+2
|0.00071
|-
|22
|0,7,13,20
| +2+?+3
|0.00074
|-
|22
|0,7,16,19
| +3+?+2
|0.00025
|-
|22
|0,8,10,16
| +1+?+1
|0.00087
|-
|22
|0,8,11,15
| +3+?+2
|0.00074
|-
|22
|0,8,12,14
| +3+?+1
|0.00043
|-
|22
|0,8,12,15
| +2+?+1
|0.00090
|-
|22
|0,8,13,21
| +2+?+3
|0.00086
|-
|22
|0,9,16,19
| +2+?+1
|0.00013
|-
|22
|0,10,13,20
| +1+?+1
|0.00076
|-
|22
|0,12,14,17
| +3+?+1
|0.00064
|-
|22
|0,12,17,21
| +2+?+1
|0.00018
|-
|22
|0,13,17,20
| +3+?+1
|0.00044
|-
|23
|0,1,12,13
| +2+?+3
|0.00095
|-
|23
|0,1,12,14
| +1+?+3
|0.00078
|-
|23
|0,1,13,14
| +2+?+3
|0.00030
|-
|23
|0,1,13,15
| +1+?+3
|0.00004
|-
|23
|0,1,14,15
| +2+?+3
|0.00037
|-
|23
|0,1,14,16
| +1+?+3
|0.00089
|-
|23
|0,2,4,9
| +1+?+3
|0.00088
|-
|23
|0,2,5,10
| +1+?+3
|0.00081
|-
|23
|0,2,9,10
| +3+?+2
|0.00082
|-
|23
|0,2,9,12
| +1+?+2
|0.00006
|-
|23
|0,2,10,11
| +3+?+2
|0.00004
|-
|23
|0,2,11,12
| +3+?+2
|0.00077
|-
|23
|0,2,12,16
| +1+?+3
|0.00074
|-
|23
|0,2,13,15
| +2+?+3
|0.00061
|-
|23
|0,2,13,17
| +1+?+3
|0.00096
|-
|23
|0,2,14,16
| +2+?+3
|0.00075
|-
|23
|0,3,5,10
| +1+?+2
|0.00007
|-
|23
|0,3,6,13
| +1+?+3
|0.00074
|-
|23
|0,3,12,18
| +1+?+3
|0.00021
|-
|23
|0,3,13,16
| +2+?+3
|0.00094
|-
|23
|0,3,13,17
| +1+?+2
|0.00013
|-
|23
|0,3,14,15
| +2+?+1
|0.00044
|-
|23
|0,3,14,16
| +1+?+1
|0.00007
|-
|23
|0,3,15,16
| +2+?+1
|0.00051
|-
|23
|0,4,7,16
| +1+?+3
|0.00012
|-
|23
|0,4,10,11
| +3+?+1
|0.00093
|-
|23
|0,4,10,12
| +3+?+2
|0.00092
|-
|23
|0,4,10,13
| +1+?+1
|0.00012
|-
|23
|0,4,11,12
| +3+?+1
|0.00006
|-
|23
|0,4,11,13
| +3+?+2
|0.00073
|-
|23
|0,4,12,13
| +3+?+1
|0.00084
|-
|23
|0,4,15,20
| +1+?+2
|0.00027
|-
|23
|0,5,6,14
| +1+?+2
|0.00058
|-
|23
|0,5,7,13
| +2+?+3
|0.00039
|-
|23
|0,5,7,18
| +1+?+3
|0.00076
|-
|23
|0,5,8,12
| +1+?+1
|0.00024
|-
|23
|0,5,9,11
| +2+?+1
|0.00011
|-
|23
|0,5,11,18
| +1+?+2
|0.00078
|-
|23
|0,5,11,21
| +1+?+3
|0.00062
|-
|23
|0,5,18,20
| +3+?+2
|0.00099
|-
|23
|0,5,18,21
| +1+?+1
|0.00008
|-
|23
|0,5,19,20
| +3+?+1
|0.00002
|-
|23
|0,6,7,20
| +1+?+3
|0.00071
|-
|23
|0,6,8,15
| +2+?+3
|0.00077
|-
|23
|0,6,8,17
| +1+?+2
|0.00005
|-
|23
|0,6,11,14
| +3+?+2
|0.00020
|-
|23
|0,6,15,17
| +2+?+1
|0.00098
|-
|23
|0,7,8,10
| +3+?+1
|0.00054
|-
|23
|0,7,12,17
| +1+?+1
|0.00079
|-
|23
|0,7,17,20
| +3+?+2
|0.00088
|-
|23
|0,8,9,18
| +2+?+3
|0.00015
|-
|23
|0,8,11,22
| +1+?+2
|0.00093
|-
|23
|0,8,12,15
| +2+?+1
|0.00031
|-
|23
|0,8,13,15
| +3+?+1
|0.00072
|-
|23
|0,8,17,22
| +1+?+1
|0.00068
|-
|23
|0,9,15,21
| +1+?+1
|0.00006
|-
|23
|0,9,16,20
| +3+?+2
|0.00014
|-
|23
|0,9,17,19
| +3+?+1
|0.00011
|-
|23
|0,10,12,17
| +3+?+2
|0.00063
|-
|23
|0,11,12,20
| +1+?+1
|0.00094
|-
|23
|0,11,14,18
| +2+?+1
|0.00078
|-
|23
|0,11,16,21
| +3+?+2
|0.00087
|-
|23
|0,12,14,17
| +3+?+1
|0.00065
|-
|23
|0,13,16,22
| +3+?+2
|0.00081
|-
|23
|0,14,16,21
| +2+?+1
|0.00064
|}
[[Category:Tables]][[Category:Tetrads]]