Partially delta-rational tetrads in small edos: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Inthar (talk | contribs)
autopatrolled, emailconfirmed
15,677 edits
Correcting
Tags: Replaced Visual edit
Inthar (talk | contribs)
autopatrolled, emailconfirmed
15,677 edits
Correcting
Line 1: Line 1:
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.
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"
|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]]
[[Category:Tables]][[Category:Tetrads]]

Revision as of 23:39, 17 December 2024

Shown below are approximate 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.

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
Retrieved from "https://en.xen.wiki/index.php?title=Partially_delta-rational_tetrads_in_small_edos&oldid=171484"