Partially delta-rational tetrads in small edos

Shown below are approximate partially delta-rational tetrads (with signature +a+?+b) spanning an interval < octave, in edos < 24, with least-squares error < 0.0015. All delta signatures are in the 3-integer limit ignoring the +? term.

Edo	Steps	Delta signature	Least-squares error
5	0, 1, 3, 4	+2+?+3	0.00113
6	0, 1, 3, 5	+1+?+3	0.00006
6	0, 2, 3, 4	+3+?+2	0.00006
7	0, 3, 5, 6	+2+?+1	0.00145
7	0, 1, 4, 5	+2+?+3	0.00071
7	0, 2, 4, 6	+2+?+3	0.00149
8	0, 1, 4, 6	+1+?+3	0.00119
8	0, 4, 5, 6	+3+?+1	0.00104
8	0, 2, 4, 5	+3+?+2	0.00119
9	0, 1, 5, 7	+1+?+3	0.00138
9	0, 1, 5, 6	+2+?+3	0.00118
9	0, 2, 4, 5	+3+?+2	0.00133
10	0, 3, 7, 8	+2+?+1	0.00068
10	0, 1, 6, 7	+2+?+3	0.00055
10	0, 2, 6, 8	+2+?+3	0.00113
11	0, 3, 7, 9	+1+?+1	0.00040
11	0, 4, 5, 8	+1+?+1	0.00087
11	0, 2, 4, 7	+1+?+2	0.00036
11	0, 3, 6, 10	+1+?+2	0.00090
11	0, 1, 6, 8	+1+?+3	0.00027
11	0, 1, 6, 7	+2+?+3	0.00128
11	0, 4, 6, 7	+3+?+1	0.00043
11	0, 2, 5, 6	+3+?+2	0.00026
12	0, 2, 6, 10	+1+?+3	0.00006
12	0, 3, 8, 9	+2+?+1	0.00014
12	0, 6, 9, 11	+2+?+1	0.00077
12	0, 1, 7, 8	+2+?+3	0.00005
12	0, 2, 7, 9	+2+?+3	0.00010
12	0, 3, 7, 10	+2+?+3	0.00016
12	0, 4, 7, 11	+2+?+3	0.00021
12	0, 2, 5, 6	+3+?+2	0.00145
12	0, 4, 6, 8	+3+?+2	0.00006
13	0, 3, 8, 10	+1+?+1	0.00062
13	0, 4, 6, 9	+1+?+1	0.00065
13	0, 2, 5, 8	+1+?+2	0.00057
13	0, 3, 7, 11	+1+?+2	0.00067
13	0, 1, 7, 9	+1+?+3	0.00026
13	0, 3, 6, 12	+1+?+3	0.00037
13	0, 3, 9, 10	+2+?+1	0.00118
13	0, 5, 6, 8	+2+?+1	0.00147
13	0, 1, 7, 8	+2+?+3	0.00126
13	0, 1, 8, 9	+2+?+3	0.00085
13	0, 4, 7, 8	+3+?+1	0.00021
13	0, 2, 6, 7	+3+?+2	0.00025
13	0, 6, 7, 10	+3+?+2	0.00038
14	0, 3, 9, 11	+1+?+1	0.00138
14	0, 2, 5, 8	+1+?+2	0.00125
14	0, 1, 8, 10	+1+?+3	0.00073
14	0, 2, 7, 11	+1+?+3	0.00076
14	0, 3, 9, 10	+2+?+1	0.00054
14	0, 5, 6, 8	+2+?+1	0.00023
14	0, 6, 10, 12	+2+?+1	0.00145
14	0, 1, 8, 9	+2+?+3	0.00034
14	0, 2, 8, 10	+2+?+3	0.00071
14	0, 3, 8, 11	+2+?+3	0.00109
14	0, 4, 8, 12	+2+?+3	0.00149
14	0, 4, 7, 8	+3+?+1	0.00084
14	0, 5, 12, 13	+3+?+1	0.00116
14	0, 8, 9, 11	+3+?+1	0.00036
14	0, 2, 6, 7	+3+?+2	0.00069
14	0, 4, 7, 9	+3+?+2	0.00076
15	0, 3, 9, 11	+1+?+1	0.00112
15	0, 4, 7, 10	+1+?+1	0.00142
15	0, 2, 6, 9	+1+?+2	0.00104
15	0, 3, 8, 12	+1+?+2	0.00146
15	0, 4, 5, 11	+1+?+2	0.00143
15	0, 1, 8, 10	+1+?+3	0.00053
15	0, 1, 9, 11	+1+?+3	0.00147
15	0, 2, 8, 12	+1+?+3	0.00101
15	0, 3, 7, 13	+1+?+3	0.00138
15	0, 3, 10, 11	+2+?+1	0.00048
15	0, 5, 6, 8	+2+?+1	0.00147
15	0, 6, 11, 13	+2+?+1	0.00081
15	0, 8, 9, 12	+2+?+1	0.00117
15	0, 1, 8, 9	+2+?+3	0.00121
15	0, 1, 9, 10	+2+?+3	0.00036
15	0, 2, 9, 11	+2+?+3	0.00074
15	0, 3, 9, 12	+2+?+3	0.00113
15	0, 4, 8, 9	+3+?+1	0.00053
15	0, 5, 13, 14	+3+?+1	0.00028
15	0, 2, 6, 7	+3+?+2	0.00137
15	0, 2, 7, 8	+3+?+2	0.00052
15	0, 4, 7, 9	+3+?+2	0.00099
15	0, 6, 8, 11	+3+?+2	0.00141
16	0, 3, 10, 12	+1+?+1	0.00046
16	0, 4, 7, 10	+1+?+1	0.00072
16	0, 2, 6, 9	+1+?+2	0.00042
16	0, 3, 9, 13	+1+?+2	0.00075
16	0, 1, 8, 10	+1+?+3	0.00145
16	0, 1, 9, 11	+1+?+3	0.00025
16	0, 2, 3, 8	+1+?+3	0.00118
16	0, 2, 8, 12	+1+?+3	0.00119
16	0, 3, 4, 11	+1+?+3	0.00148
16	0, 3, 8, 14	+1+?+3	0.00103
16	0, 3, 10, 11	+2+?+1	0.00074
16	0, 3, 11, 12	+2+?+1	0.00127
16	0, 5, 7, 9	+2+?+1	0.00109
16	0, 8, 9, 12	+2+?+1	0.00143
16	0, 1, 9, 10	+2+?+3	0.00050
16	0, 1, 10, 11	+2+?+3	0.00091
16	0, 2, 9, 11	+2+?+3	0.00102
16	0, 4, 8, 9	+3+?+1	0.00031
16	0, 5, 14, 15	+3+?+1	0.00040
16	0, 8, 10, 12	+3+?+1	0.00104
16	0, 9, 13, 15	+3+?+1	0.00001
16	0, 2, 7, 8	+3+?+2	0.00024
16	0, 2, 8, 9	+3+?+2	0.00145
16	0, 4, 8, 10	+3+?+2	0.00119
16	0, 5, 13, 15	+3+?+2	0.00146
16	0, 6, 8, 11	+3+?+2	0.00103
17	0, 3, 10, 12	+1+?+1	0.00137
17	0, 5, 6, 10	+1+?+1	0.00006
17	0, 6, 11, 15	+1+?+1	0.00014
17	0, 2, 7, 10	+1+?+2	0.00129
17	0, 4, 6, 12	+1+?+2	0.00013
17	0, 4, 11, 16	+1+?+2	0.00007
17	0, 1, 9, 11	+1+?+3	0.00067
17	0, 1, 10, 12	+1+?+3	0.00087
17	0, 2, 3, 8	+1+?+3	0.00020
17	0, 2, 9, 13	+1+?+3	0.00024
17	0, 3, 4, 11	+1+?+3	0.00046
17	0, 4, 8, 16	+1+?+3	0.00090
17	0, 3, 11, 12	+2+?+1	0.00007
17	0, 5, 7, 9	+2+?+1	0.00003
17	0, 6, 12, 14	+2+?+1	0.00000
17	0, 9, 13, 16	+2+?+1	0.00040
17	0, 1, 9, 10	+2+?+3	0.00114
17	0, 1, 10, 11	+2+?+3	0.00007
17	0, 1, 11, 12	+2+?+3	0.00133
17	0, 2, 10, 12	+2+?+3	0.00014
17	0, 3, 10, 13	+2+?+3	0.00022
17	0, 4, 10, 14	+2+?+3	0.00029
17	0, 5, 10, 15	+2+?+3	0.00037
17	0, 6, 10, 16	+2+?+3	0.00046
17	0, 4, 8, 9	+3+?+1	0.00095
17	0, 4, 9, 10	+3+?+1	0.00070
17	0, 5, 14, 15	+3+?+1	0.00119
17	0, 5, 15, 16	+3+?+1	0.00092
17	0, 8, 10, 12	+3+?+1	0.00057
17	0, 2, 7, 8	+3+?+2	0.00082
17	0, 2, 8, 9	+3+?+2	0.00065
17	0, 4, 8, 10	+3+?+2	0.00023
17	0, 5, 14, 16	+3+?+2	0.00025
17	0, 7, 13, 16	+3+?+2	0.00055
17	0, 8, 9, 13	+3+?+2	0.00092
18	0, 3, 11, 13	+1+?+1	0.00010
18	0, 4, 8, 11	+1+?+1	0.00007
18	0, 5, 6, 10	+1+?+1	0.00145
18	0, 5, 14, 17	+1+?+1	0.00137
18	0, 2, 7, 10	+1+?+2	0.00009
18	0, 3, 4, 9	+1+?+2	0.00113
18	0, 3, 10, 14	+1+?+2	0.00007
18	0, 5, 8, 15	+1+?+2	0.00149
18	0, 1, 9, 11	+1+?+3	0.00137
18	0, 1, 10, 12	+1+?+3	0.00003
18	0, 1, 11, 13	+1+?+3	0.00136
18	0, 2, 3, 8	+1+?+3	0.00056
18	0, 2, 9, 13	+1+?+3	0.00141
18	0, 2, 10, 14	+1+?+3	0.00138
18	0, 3, 9, 15	+1+?+3	0.00006
18	0, 4, 5, 14	+1+?+3	0.00078
18	0, 3, 11, 12	+2+?+1	0.00084
18	0, 3, 12, 13	+2+?+1	0.00073
18	0, 5, 7, 9	+2+?+1	0.00089
18	0, 6, 13, 15	+2+?+1	0.00141
18	0, 8, 10, 13	+2+?+1	0.00027
18	0, 11, 12, 16	+2+?+1	0.00042
18	0, 1, 10, 11	+2+?+3	0.00058
18	0, 1, 11, 12	+2+?+3	0.00052
18	0, 2, 10, 12	+2+?+3	0.00118
18	0, 2, 11, 13	+2+?+3	0.00107
18	0, 4, 8, 9	+3+?+1	0.00144
18	0, 4, 9, 10	+3+?+1	0.00001
18	0, 5, 15, 16	+3+?+1	0.00057
18	0, 5, 16, 17	+3+?+1	0.00132
18	0, 8, 11, 13	+3+?+1	0.00139
18	0, 9, 14, 16	+3+?+1	0.00056
18	0, 2, 7, 8	+3+?+2	0.00126
18	0, 2, 8, 9	+3+?+2	0.00003
18	0, 2, 9, 10	+3+?+2	0.00137
18	0, 4, 8, 10	+3+?+2	0.00133
18	0, 4, 9, 11	+3+?+2	0.00141
18	0, 5, 15, 17	+3+?+2	0.00070
18	0, 6, 9, 12	+3+?+2	0.00006
18	0, 9, 13, 17	+3+?+2	0.00091
19	0, 3, 11, 13	+1+?+1	0.00150
19	0, 3, 12, 14	+1+?+1	0.00093
19	0, 4, 8, 11	+1+?+1	0.00130
19	0, 5, 15, 18	+1+?+1	0.00011
19	0, 6, 12, 16	+1+?+1	0.00074
19	0, 8, 9, 15	+1+?+1	0.00051
19	0, 2, 7, 10	+1+?+2	0.00085
19	0, 2, 8, 11	+1+?+2	0.00142
19	0, 3, 4, 9	+1+?+2	0.00009
19	0, 3, 11, 15	+1+?+2	0.00138
19	0, 4, 7, 13	+1+?+2	0.00068
19	0, 6, 10, 18	+1+?+2	0.00052
19	0, 1, 10, 12	+1+?+3	0.00074
19	0, 1, 11, 13	+1+?+3	0.00048
19	0, 2, 3, 8	+1+?+3	0.00115
19	0, 2, 4, 9	+1+?+3	0.00135
19	0, 2, 10, 14	+1+?+3	0.00024
19	0, 3, 5, 12	+1+?+3	0.00066
19	0, 4, 5, 14	+1+?+3	0.00148
19	0, 4, 9, 17	+1+?+3	0.00021
19	0, 3, 12, 13	+2+?+1	0.00018
19	0, 3, 13, 14	+2+?+1	0.00125
19	0, 5, 8, 10	+2+?+1	0.00086
19	0, 6, 13, 15	+2+?+1	0.00048
19	0, 9, 14, 17	+2+?+1	0.00105
19	0, 1, 10, 11	+2+?+3	0.00108
19	0, 1, 11, 12	+2+?+3	0.00011
19	0, 1, 12, 13	+2+?+3	0.00089
19	0, 2, 11, 13	+2+?+3	0.00023
19	0, 3, 11, 14	+2+?+3	0.00035
19	0, 4, 11, 15	+2+?+3	0.00048
19	0, 5, 11, 16	+2+?+3	0.00061
19	0, 6, 11, 17	+2+?+3	0.00074
19	0, 7, 11, 18	+2+?+3	0.00088
19	0, 4, 9, 10	+3+?+1	0.00053
19	0, 4, 10, 11	+3+?+1	0.00079
19	0, 5, 16, 17	+3+?+1	0.00006
19	0, 8, 11, 13	+3+?+1	0.00007
19	0, 9, 15, 17	+3+?+1	0.00088
19	0, 2, 8, 9	+3+?+2	0.00046
19	0, 2, 9, 10	+3+?+2	0.00073
19	0, 4, 9, 11	+3+?+2	0.00024
19	0, 5, 16, 18	+3+?+2	0.00146
19	0, 7, 14, 17	+3+?+2	0.00078
19	0, 8, 10, 14	+3+?+2	0.00022
20	0, 1, 2, 3	+1+?+1	0.00146
20	0, 3, 12, 14	+1+?+1	0.00045
20	0, 4, 9, 12	+1+?+1	0.00056
20	0, 5, 7, 11	+1+?+1	0.00018
20	0, 5, 16, 19	+1+?+1	0.00090
20	0, 6, 13, 17	+1+?+1	0.00126
20	0, 7, 11, 16	+1+?+1	0.00142
20	0, 10, 12, 19	+1+?+1	0.00112
20	0, 2, 8, 11	+1+?+2	0.00042
20	0, 3, 4, 9	+1+?+2	0.00073
20	0, 3, 11, 15	+1+?+2	0.00058
20	0, 4, 7, 13	+1+?+2	0.00114
20	0, 4, 13, 18	+1+?+2	0.00020
20	0, 5, 9, 16	+1+?+2	0.00137
20	0, 7, 8, 18	+1+?+2	0.00105
20	0, 1, 10, 12	+1+?+3	0.00129
20	0, 1, 11, 13	+1+?+3	0.00021
20	0, 1, 12, 14	+1+?+3	0.00090
20	0, 2, 4, 9	+1+?+3	0.00061
20	0, 2, 11, 15	+1+?+3	0.00072
20	0, 3, 5, 12	+1+?+3	0.00066
20	0, 3, 10, 16	+1+?+3	0.00055
20	0, 4, 6, 15	+1+?+3	0.00137
20	0, 5, 6, 17	+1+?+3	0.00113
20	0, 5, 9, 19	+1+?+3	0.00054
20	0, 3, 12, 13	+2+?+1	0.00089
20	0, 3, 13, 14	+2+?+1	0.00037
20	0, 5, 8, 10	+2+?+1	0.00007
20	0, 6, 14, 16	+2+?+1	0.00068
20	0, 8, 11, 14	+2+?+1	0.00044
20	0, 9, 15, 18	+2+?+1	0.00084
20	0, 11, 13, 17	+2+?+1	0.00086
20	0, 1, 10, 11	+2+?+3	0.00147
20	0, 1, 11, 12	+2+?+3	0.00061
20	0, 1, 12, 13	+2+?+3	0.00027
20	0, 1, 13, 14	+2+?+3	0.00118
20	0, 2, 11, 13	+2+?+3	0.00125
20	0, 2, 12, 14	+2+?+3	0.00055
20	0, 3, 12, 15	+2+?+3	0.00084
20	0, 4, 5, 10	+2+?+3	0.00095
20	0, 4, 12, 16	+2+?+3	0.00113
20	0, 5, 6, 12	+2+?+3	0.00037
20	0, 5, 12, 17	+2+?+3	0.00144
20	0, 4, 9, 10	+3+?+1	0.00096
20	0, 4, 10, 11	+3+?+1	0.00021
20	0, 4, 11, 12	+3+?+1	0.00142
20	0, 5, 16, 17	+3+?+1	0.00115
20	0, 5, 17, 18	+3+?+1	0.00034
20	0, 8, 11, 13	+3+?+1	0.00098
20	0, 9, 15, 17	+3+?+1	0.00090
20	0, 12, 13, 16	+3+?+1	0.00002
20	0, 13, 16, 19	+3+?+1	0.00072
20	0, 2, 8, 9	+3+?+2	0.00084
20	0, 2, 9, 10	+3+?+2	0.00021
20	0, 2, 10, 11	+3+?+2	0.00129
20	0, 4, 9, 11	+3+?+2	0.00070
20	0, 5, 16, 18	+3+?+2	0.00075
20	0, 6, 10, 13	+3+?+2	0.00055
20	0, 7, 15, 18	+3+?+2	0.00079
20	0, 10, 11, 16	+3+?+2	0.00056
20	0, 11, 14, 19	+3+?+2	0.00129
21	0, 1, 2, 3	+1+?+1	0.00132
21	0, 3, 13, 15	+1+?+1	0.00042
21	0, 4, 9, 12	+1+?+1	0.00060
21	0, 5, 7, 11	+1+?+1	0.00093
21	0, 6, 13, 17	+1+?+1	0.00129
21	0, 7, 11, 16	+1+?+1	0.00112
21	0, 8, 10, 16	+1+?+1	0.00142
21	0, 9, 14, 20	+1+?+1	0.00102
21	0, 2, 8, 11	+1+?+2	0.00038
21	0, 2, 9, 12	+1+?+2	0.00147
21	0, 3, 4, 9	+1+?+2	0.00140
21	0, 3, 5, 10	+1+?+2	0.00141
21	0, 3, 12, 16	+1+?+2	0.00063
21	0, 4, 8, 14	+1+?+2	0.00119
21	0, 4, 14, 19	+1+?+2	0.00104
21	0, 5, 10, 17	+1+?+2	0.00110
21	0, 6, 7, 16	+1+?+2	0.00091
21	0, 6, 11, 19	+1+?+2	0.00144
21	0, 1, 11, 13	+1+?+3	0.00077
21	0, 1, 12, 14	+1+?+3	0.00022
21	0, 1, 13, 15	+1+?+3	0.00125
21	0, 2, 4, 9	+1+?+3	0.00001
21	0, 2, 11, 15	+1+?+3	0.00054
21	0, 3, 6, 13	+1+?+3	0.00138
21	0, 3, 11, 17	+1+?+3	0.00079
21	0, 4, 6, 15	+1+?+3	0.00053
21	0, 4, 10, 18	+1+?+3	0.00092
21	0, 5, 6, 17	+1+?+3	0.00141
21	0, 3, 12, 13	+2+?+1	0.00145
21	0, 3, 13, 14	+2+?+1	0.00034
21	0, 3, 14, 15	+2+?+1	0.00082
21	0, 5, 8, 10	+2+?+1	0.00057
21	0, 5, 9, 11	+2+?+1	0.00142
21	0, 6, 14, 16	+2+?+1	0.00079
21	0, 8, 11, 14	+2+?+1	0.00096
21	0, 9, 15, 18	+2+?+1	0.00145
21	0, 11, 13, 17	+2+?+1	0.00140
21	0, 14, 15, 20	+2+?+1	0.00046
21	0, 1, 11, 12	+2+?+3	0.00101
21	0, 1, 12, 13	+2+?+3	0.00023
21	0, 1, 13, 14	+2+?+3	0.00058
21	0, 1, 14, 15	+2+?+3	0.00142
21	0, 2, 12, 14	+2+?+3	0.00046
21	0, 2, 13, 15	+2+?+3	0.00119
21	0, 3, 12, 15	+2+?+3	0.00071
21	0, 4, 5, 10	+2+?+3	0.00004
21	0, 4, 12, 16	+2+?+3	0.00096
21	0, 5, 6, 12	+2+?+3	0.00105
21	0, 5, 12, 17	+2+?+3	0.00122
21	0, 6, 7, 14	+2+?+3	0.00050
21	0, 6, 12, 18	+2+?+3	0.00149
21	0, 4, 9, 10	+3+?+1	0.00129
21	0, 4, 10, 11	+3+?+1	0.00025
21	0, 4, 11, 12	+3+?+1	0.00083
21	0, 5, 17, 18	+3+?+1	0.00069
21	0, 5, 18, 19	+3+?+1	0.00067
21	0, 8, 12, 14	+3+?+1	0.00046
21	0, 9, 16, 18	+3+?+1	0.00029
21	0, 12, 13, 16	+3+?+1	0.00147
21	0, 13, 16, 19	+3+?+1	0.00145
21	0, 2, 8, 9	+3+?+2	0.00115
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23	0, 6, 16, 18	+2+?+1	0.00101
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23	0, 8, 9, 18	+2+?+3	0.00015
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23	0, 13, 16, 22	+3+?+2	0.00081