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

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Created page with "Shown below are approximate partially delta-rational tetrads spanning an interval < octave, in edos < 24, with least-squares error < 0.0015. All delta..."
 
Inthar (talk | contribs)
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15,668 edits
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|-
|-
|5
|5
|(0, 1, 3, 4)
|0, 1, 3, 4
|[2, 3]
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|0.00113
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|-
|-
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|6
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|-
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|6
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|-
|7
|7
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|-
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|7
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|-
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|7
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|-
|-
|8
|8
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|0.00119
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|-
|-
|8
|8
|(0, 4, 5, 6)
|0, 4, 5, 6
|[3, 1]
| +3+?+1
|0.00104
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|-
|-
|8
|8
|(0, 2, 4, 5)
|0, 2, 4, 5
|[3, 2]
| +3+?+2
|0.00119
|0.00119
|-
|-
|9
|9
|(0, 1, 5, 7)
|0, 1, 5, 7
|[1, 3]
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|-
|-
|9
|9
|(0, 1, 5, 6)
|0, 1, 5, 6
|[2, 3]
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|0.00118
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|-
|-
|9
|9
|(0, 2, 4, 5)
|0, 2, 4, 5
|[3, 2]
| +3+?+2
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|-
|-
|10
|10
|(0, 3, 7, 8)
|0, 3, 7, 8
|[2, 1]
| +2+?+1
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|-
|-
|10
|10
|(0, 1, 6, 7)
|0, 1, 6, 7
|[2, 3]
| +2+?+3
|0.00055
|0.00055
|-
|-
|10
|10
|(0, 2, 6, 8)
|0, 2, 6, 8
|[2, 3]
| +2+?+3
|0.00113
|0.00113
|-
|-
|11
|11
|(0, 3, 7, 9)
|0, 3, 7, 9
|[1, 1]
| +1+?+1
|0.00040
|0.00040
|-
|-
|11
|11
|(0, 4, 5, 8)
|0, 4, 5, 8
|[1, 1]
| +1+?+1
|0.00087
|0.00087
|-
|-
|11
|11
|(0, 2, 4, 7)
|0, 2, 4, 7
|[1, 2]
| +1+?+2
|0.00036
|0.00036
|-
|-
|11
|11
|(0, 3, 6, 10)
|0, 3, 6, 10
|[1, 2]
| +1+?+2
|0.00090
|0.00090
|-
|-
|11
|11
|(0, 1, 6, 8)
|0, 1, 6, 8
|[1, 3]
| +1+?+3
|0.00027
|0.00027
|-
|-
|11
|11
|(0, 1, 6, 7)
|0, 1, 6, 7
|[2, 3]
| +2+?+3
|0.00128
|0.00128
|-
|-
|11
|11
|(0, 4, 6, 7)
|0, 4, 6, 7
|[3, 1]
| +3+?+1
|0.00043
|0.00043
|-
|-
|11
|11
|(0, 2, 5, 6)
|0, 2, 5, 6
|[3, 2]
| +3+?+2
|0.00026
|0.00026
|-
|-
|12
|12
|(0, 2, 6, 10)
|0, 2, 6, 10
|[1, 3]
| +1+?+3
|0.00006
|0.00006
|-
|-
|12
|12
|(0, 3, 8, 9)
|0, 3, 8, 9
|[2, 1]
| +2+?+1
|0.00014
|0.00014
|-
|-
|12
|12
|(0, 6, 9, 11)
|0, 6, 9, 11
|[2, 1]
| +2+?+1
|0.00077
|0.00077
|-
|-
|12
|12
|(0, 1, 7, 8)
|0, 1, 7, 8
|[2, 3]
| +2+?+3
|0.00005
|0.00005
|-
|-
|12
|12
|(0, 2, 7, 9)
|0, 2, 7, 9
|[2, 3]
| +2+?+3
|0.00010
|0.00010
|-
|-
|12
|12
|(0, 3, 7, 10)
|0, 3, 7, 10
|[2, 3]
| +2+?+3
|0.00016
|0.00016
|-
|-
|12
|12
|(0, 4, 7, 11)
|0, 4, 7, 11
|[2, 3]
| +2+?+3
|0.00021
|0.00021
|-
|-
|12
|12
|(0, 2, 5, 6)
|0, 2, 5, 6
|[3, 2]
| +3+?+2
|0.00145
|0.00145
|-
|-
|12
|12
|(0, 4, 6, 8)
|0, 4, 6, 8
|[3, 2]
| +3+?+2
|0.00006
|0.00006
|-
|-
|13
|13
|(0, 3, 8, 10)
|0, 3, 8, 10
|[1, 1]
| +1+?+1
|0.00062
|0.00062
|-
|-
|13
|13
|(0, 4, 6, 9)
|0, 4, 6, 9
|[1, 1]
| +1+?+1
|0.00065
|0.00065
|-
|-
|13
|13
|(0, 2, 5, 8)
|0, 2, 5, 8
|[1, 2]
| +1+?+2
|0.00057
|0.00057
|-
|-
|13
|13
|(0, 3, 7, 11)
|0, 3, 7, 11
|[1, 2]
| +1+?+2
|0.00067
|0.00067
|-
|-
|13
|13
|(0, 1, 7, 9)
|0, 1, 7, 9
|[1, 3]
| +1+?+3
|0.00026
|0.00026
|-
|-
|13
|13
|(0, 3, 6, 12)
|0, 3, 6, 12
|[1, 3]
| +1+?+3
|0.00037
|0.00037
|-
|-
|13
|13
|(0, 3, 9, 10)
|0, 3, 9, 10
|[2, 1]
| +2+?+1
|0.00118
|0.00118
|-
|-
|13
|13
|(0, 5, 6, 8)
|0, 5, 6, 8
|[2, 1]
| +2+?+1
|0.00147
|0.00147
|-
|-
|13
|13
|(0, 1, 7, 8)
|0, 1, 7, 8
|[2, 3]
| +2+?+3
|0.00126
|0.00126
|-
|-
|13
|13
|(0, 1, 8, 9)
|0, 1, 8, 9
|[2, 3]
| +2+?+3
|0.00085
|0.00085
|-
|-
|13
|13
|(0, 4, 7, 8)
|0, 4, 7, 8
|[3, 1]
| +3+?+1
|0.00021
|0.00021
|-
|-
|13
|13
|(0, 2, 6, 7)
|0, 2, 6, 7
|[3, 2]
| +3+?+2
|0.00025
|0.00025
|-
|-
|13
|13
|(0, 6, 7, 10)
|0, 6, 7, 10
|[3, 2]
| +3+?+2
|0.00038
|0.00038
|-
|-
|14
|14
|(0, 3, 9, 11)
|0, 3, 9, 11
|[1, 1]
| +1+?+1
|0.00138
|0.00138
|-
|-
|14
|14
|(0, 2, 5, 8)
|0, 2, 5, 8
|[1, 2]
| +1+?+2
|0.00125
|0.00125
|-
|-
|14
|14
|(0, 1, 8, 10)
|0, 1, 8, 10
|[1, 3]
| +1+?+3
|0.00073
|0.00073
|-
|-
|14
|14
|(0, 2, 7, 11)
|0, 2, 7, 11
|[1, 3]
| +1+?+3
|0.00076
|0.00076
|-
|-
|14
|14
|(0, 3, 9, 10)
|0, 3, 9, 10
|[2, 1]
| +2+?+1
|0.00054
|0.00054
|-
|-
|14
|14
|(0, 5, 6, 8)
|0, 5, 6, 8
|[2, 1]
| +2+?+1
|0.00023
|0.00023
|-
|-
|14
|14
|(0, 6, 10, 12)
|0, 6, 10, 12
|[2, 1]
| +2+?+1
|0.00145
|0.00145
|-
|-
|14
|14
|(0, 1, 8, 9)
|0, 1, 8, 9
|[2, 3]
| +2+?+3
|0.00034
|0.00034
|-
|-
|14
|14
|(0, 2, 8, 10)
|0, 2, 8, 10
|[2, 3]
| +2+?+3
|0.00071
|0.00071
|-
|-
|14
|14
|(0, 3, 8, 11)
|0, 3, 8, 11
|[2, 3]
| +2+?+3
|0.00109
|0.00109
|-
|-
|14
|14
|(0, 4, 8, 12)
|0, 4, 8, 12
|[2, 3]
| +2+?+3
|0.00149
|0.00149
|-
|-
|14
|14
|(0, 4, 7, 8)
|0, 4, 7, 8
|[3, 1]
| +3+?+1
|0.00084
|0.00084
|-
|-
|14
|14
|(0, 5, 12, 13)
|0, 5, 12, 13
|[3, 1]
| +3+?+1
|0.00116
|0.00116
|-
|-
|14
|14
|(0, 8, 9, 11)
|0, 8, 9, 11
|[3, 1]
| +3+?+1
|0.00036
|0.00036
|-
|-
|14
|14
|(0, 2, 6, 7)
|0, 2, 6, 7
|[3, 2]
| +3+?+2
|0.00069
|0.00069
|-
|-
|14
|14
|(0, 4, 7, 9)
|0, 4, 7, 9
|[3, 2]
| +3+?+2
|0.00076
|0.00076
|-
|-
|15
|15
|(0, 3, 9, 11)
|0, 3, 9, 11
|[1, 1]
| +1+?+1
|0.00112
|0.00112
|-
|-
|15
|15
|(0, 4, 7, 10)
|0, 4, 7, 10
|[1, 1]
| +1+?+1
|0.00142
|0.00142
|-
|-
|15
|15
|(0, 2, 6, 9)
|0, 2, 6, 9
|[1, 2]
| +1+?+2
|0.00104
|0.00104
|-
|-
|15
|15
|(0, 3, 8, 12)
|0, 3, 8, 12
|[1, 2]
| +1+?+2
|0.00146
|0.00146
|-
|-
|15
|15
|(0, 4, 5, 11)
|0, 4, 5, 11
|[1, 2]
| +1+?+2
|0.00143
|0.00143
|-
|-
|15
|15
|(0, 1, 8, 10)
|0, 1, 8, 10
|[1, 3]
| +1+?+3
|0.00053
|0.00053
|-
|-
|15
|15
|(0, 1, 9, 11)
|0, 1, 9, 11
|[1, 3]
| +1+?+3
|0.00147
|0.00147
|-
|-
|15
|15
|(0, 2, 8, 12)
|0, 2, 8, 12
|[1, 3]
| +1+?+3
|0.00101
|0.00101
|-
|-
|15
|15
|(0, 3, 7, 13)
|0, 3, 7, 13
|[1, 3]
| +1+?+3
|0.00138
|0.00138
|-
|-
|15
|15
|(0, 3, 10, 11)
|0, 3, 10, 11
|[2, 1]
| +2+?+1
|0.00048
|0.00048
|-
|-
|15
|15
|(0, 5, 6, 8)
|0, 5, 6, 8
|[2, 1]
| +2+?+1
|0.00147
|0.00147
|-
|-
|15
|15
|(0, 6, 11, 13)
|0, 6, 11, 13
|[2, 1]
| +2+?+1
|0.00081
|0.00081
|-
|-
|15
|15
|(0, 8, 9, 12)
|0, 8, 9, 12
|[2, 1]
| +2+?+1
|0.00117
|0.00117
|-
|-
|15
|15
|(0, 1, 8, 9)
|0, 1, 8, 9
|[2, 3]
| +2+?+3
|0.00121
|0.00121
|-
|-
|15
|15
|(0, 1, 9, 10)
|0, 1, 9, 10
|[2, 3]
| +2+?+3
|0.00036
|0.00036
|-
|-
|15
|15
|(0, 2, 9, 11)
|0, 2, 9, 11
|[2, 3]
| +2+?+3
|0.00074
|0.00074
|-
|-
|15
|15
|(0, 3, 9, 12)
|0, 3, 9, 12
|[2, 3]
| +2+?+3
|0.00113
|0.00113
|-
|-
|15
|15
|(0, 4, 8, 9)
|0, 4, 8, 9
|[3, 1]
| +3+?+1
|0.00053
|0.00053
|-
|-
|15
|15
|(0, 5, 13, 14)
|0, 5, 13, 14
|[3, 1]
| +3+?+1
|0.00028
|0.00028
|-
|-
|15
|15
|(0, 2, 6, 7)
|0, 2, 6, 7
|[3, 2]
| +3+?+2
|0.00137
|0.00137
|-
|-
|15
|15
|(0, 2, 7, 8)
|0, 2, 7, 8
|[3, 2]
| +3+?+2
|0.00052
|0.00052
|-
|-
|15
|15
|(0, 4, 7, 9)
|0, 4, 7, 9
|[3, 2]
| +3+?+2
|0.00099
|0.00099
|-
|-
|15
|15
|(0, 6, 8, 11)
|0, 6, 8, 11
|[3, 2]
| +3+?+2
|0.00141
|0.00141
|-
|-
|16
|16
|(0, 3, 10, 12)
|0, 3, 10, 12
|[1, 1]
| +1+?+1
|0.00046
|0.00046
|-
|-
|16
|16
|(0, 4, 7, 10)
|0, 4, 7, 10
|[1, 1]
| +1+?+1
|0.00072
|0.00072
|-
|-
|16
|16
|(0, 2, 6, 9)
|0, 2, 6, 9
|[1, 2]
| +1+?+2
|0.00042
|0.00042
|-
|-
|16
|16
|(0, 3, 9, 13)
|0, 3, 9, 13
|[1, 2]
| +1+?+2
|0.00075
|0.00075
|-
|-
|16
|16
|(0, 1, 8, 10)
|0, 1, 8, 10
|[1, 3]
| +1+?+3
|0.00145
|0.00145
|-
|-
|16
|16
|(0, 1, 9, 11)
|0, 1, 9, 11
|[1, 3]
| +1+?+3
|0.00025
|0.00025
|-
|-
|16
|16
|(0, 2, 3, 8)
|0, 2, 3, 8
|[1, 3]
| +1+?+3
|0.00118
|0.00118
|-
|-
|16
|16
|(0, 2, 8, 12)
|0, 2, 8, 12
|[1, 3]
| +1+?+3
|0.00119
|0.00119
|-
|-
|16
|16
|(0, 3, 4, 11)
|0, 3, 4, 11
|[1, 3]
| +1+?+3
|0.00148
|0.00148
|-
|-
|16
|16
|(0, 3, 8, 14)
|0, 3, 8, 14
|[1, 3]
| +1+?+3
|0.00103
|0.00103
|-
|-
|16
|16
|(0, 3, 10, 11)
|0, 3, 10, 11
|[2, 1]
| +2+?+1
|0.00074
|0.00074
|-
|-
|16
|16
|(0, 3, 11, 12)
|0, 3, 11, 12
|[2, 1]
| +2+?+1
|0.00127
|0.00127
|-
|-
|16
|16
|(0, 5, 7, 9)
|0, 5, 7, 9
|[2, 1]
| +2+?+1
|0.00109
|0.00109
|-
|-
|16
|16
|(0, 8, 9, 12)
|0, 8, 9, 12
|[2, 1]
| +2+?+1
|0.00143
|0.00143
|-
|-
|16
|16
|(0, 1, 9, 10)
|0, 1, 9, 10
|[2, 3]
| +2+?+3
|0.00050
|0.00050
|-
|-
|16
|16
|(0, 1, 10, 11)
|0, 1, 10, 11
|[2, 3]
| +2+?+3
|0.00091
|0.00091
|-
|-
|16
|16
|(0, 2, 9, 11)
|0, 2, 9, 11
|[2, 3]
| +2+?+3
|0.00102
|0.00102
|-
|-
|16
|16
|(0, 4, 8, 9)
|0, 4, 8, 9
|[3, 1]
| +3+?+1
|0.00031
|0.00031
|-
|-
|16
|16
|(0, 5, 14, 15)
|0, 5, 14, 15
|[3, 1]
| +3+?+1
|0.00040
|0.00040
|-
|-
|16
|16
|(0, 8, 10, 12)
|0, 8, 10, 12
|[3, 1]
| +3+?+1
|0.00104
|0.00104
|-
|-
|16
|16
|(0, 9, 13, 15)
|0, 9, 13, 15
|[3, 1]
| +3+?+1
|0.00001
|0.00001
|-
|-
|16
|16
|(0, 2, 7, 8)
|0, 2, 7, 8
|[3, 2]
| +3+?+2
|0.00024
|0.00024
|-
|-
|16
|16
|(0, 2, 8, 9)
|0, 2, 8, 9
|[3, 2]
| +3+?+2
|0.00145
|0.00145
|-
|-
|16
|16
|(0, 4, 8, 10)
|0, 4, 8, 10
|[3, 2]
| +3+?+2
|0.00119
|0.00119
|-
|-
|16
|16
|(0, 5, 13, 15)
|0, 5, 13, 15
|[3, 2]
| +3+?+2
|0.00146
|0.00146
|-
|-
|16
|16
|(0, 6, 8, 11)
|0, 6, 8, 11
|[3, 2]
| +3+?+2
|0.00103
|0.00103
|-
|-
|17
|17
|(0, 3, 10, 12)
|0, 3, 10, 12
|[1, 1]
| +1+?+1
|0.00137
|0.00137
|-
|-
|17
|17
|(0, 5, 6, 10)
|0, 5, 6, 10
|[1, 1]
| +1+?+1
|0.00006
|0.00006
|-
|-
|17
|17
|(0, 6, 11, 15)
|0, 6, 11, 15
|[1, 1]
| +1+?+1
|0.00014
|0.00014
|-
|-
|17
|17
|(0, 2, 7, 10)
|0, 2, 7, 10
|[1, 2]
| +1+?+2
|0.00129
|0.00129
|-
|-
|17
|17
|(0, 4, 6, 12)
|0, 4, 6, 12
|[1, 2]
| +1+?+2
|0.00013
|0.00013
|-
|-
|17
|17
|(0, 4, 11, 16)
|0, 4, 11, 16
|[1, 2]
| +1+?+2
|0.00007
|0.00007
|-
|-
|17
|17
|(0, 1, 9, 11)
|0, 1, 9, 11
|[1, 3]
| +1+?+3
|0.00067
|0.00067
|-
|-
|17
|17
|(0, 1, 10, 12)
|0, 1, 10, 12
|[1, 3]
| +1+?+3
|0.00087
|0.00087
|-
|-
|17
|17
|(0, 2, 3, 8)
|0, 2, 3, 8
|[1, 3]
| +1+?+3
|0.00020
|0.00020
|-
|-
|17
|17
|(0, 2, 9, 13)
|0, 2, 9, 13
|[1, 3]
| +1+?+3
|0.00024
|0.00024
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|23
|23
|(0, 3, 4, 8)
|0, 3, 4, 8
|[2, 3]
| +2+?+3
|0.00126
|0.00126
|-
|-
|23
|23
|(0, 3, 13, 16)
|0, 3, 13, 16
|[2, 3]
| +2+?+3
|0.00094
|0.00094
|-
|-
|23
|23
|(0, 3, 14, 17)
|0, 3, 14, 17
|[2, 3]
| +2+?+3
|0.00114
|0.00114
|-
|-
|23
|23
|(0, 4, 6, 11)
|0, 4, 6, 11
|[2, 3]
| +2+?+3
|0.00131
|0.00131
|-
|-
|23
|23
|(0, 4, 13, 17)
|0, 4, 13, 17
|[2, 3]
| +2+?+3
|0.00127
|0.00127
|-
|-
|23
|23
|(0, 5, 7, 13)
|0, 5, 7, 13
|[2, 3]
| +2+?+3
|0.00039
|0.00039
|-
|-
|23
|23
|(0, 6, 8, 15)
|0, 6, 8, 15
|[2, 3]
| +2+?+3
|0.00077
|0.00077
|-
|-
|23
|23
|(0, 8, 9, 18)
|0, 8, 9, 18
|[2, 3]
| +2+?+3
|0.00015
|0.00015
|-
|-
|23
|23
|(0, 4, 10, 11)
|0, 4, 10, 11
|[3, 1]
| +3+?+1
|0.00093
|0.00093
|-
|-
|23
|23
|(0, 4, 11, 12)
|0, 4, 11, 12
|[3, 1]
| +3+?+1
|0.00006
|0.00006
|-
|-
|23
|23
|(0, 4, 12, 13)
|0, 4, 12, 13
|[3, 1]
| +3+?+1
|0.00084
|0.00084
|-
|-
|23
|23
|(0, 5, 18, 19)
|0, 5, 18, 19
|[3, 1]
| +3+?+1
|0.00109
|0.00109
|-
|-
|23
|23
|(0, 5, 19, 20)
|0, 5, 19, 20
|[3, 1]
| +3+?+1
|0.00002
|0.00002
|-
|-
|23
|23
|(0, 5, 20, 21)
|0, 5, 20, 21
|[3, 1]
| +3+?+1
|0.00116
|0.00116
|-
|-
|23
|23
|(0, 7, 8, 10)
|0, 7, 8, 10
|[3, 1]
| +3+?+1
|0.00054
|0.00054
|-
|-
|23
|23
|(0, 8, 12, 14)
|0, 8, 12, 14
|[3, 1]
| +3+?+1
|0.00116
|0.00116
|-
|-
|23
|23
|(0, 8, 13, 15)
|0, 8, 13, 15
|[3, 1]
| +3+?+1
|0.00072
|0.00072
|-
|-
|23
|23
|(0, 9, 17, 19)
|0, 9, 17, 19
|[3, 1]
| +3+?+1
|0.00011
|0.00011
|-
|-
|23
|23
|(0, 12, 14, 17)
|0, 12, 14, 17
|[3, 1]
| +3+?+1
|0.00065
|0.00065
|-
|-
|23
|23
|(0, 13, 17, 20)
|0, 13, 17, 20
|[3, 1]
| +3+?+1
|0.00133
|0.00133
|-
|-
|23
|23
|(0, 2, 9, 10)
|0, 2, 9, 10
|[3, 2]
| +3+?+2
|0.00082
|0.00082
|-
|-
|23
|23
|(0, 2, 10, 11)
|0, 2, 10, 11
|[3, 2]
| +3+?+2
|0.00004
|0.00004
|-
|-
|23
|23
|(0, 2, 11, 12)
|0, 2, 11, 12
|[3, 2]
| +3+?+2
|0.00077
|0.00077
|-
|-
|23
|23
|(0, 4, 10, 12)
|0, 4, 10, 12
|[3, 2]
| +3+?+2
|0.00092
|0.00092
|-
|-
|23
|23
|(0, 4, 11, 13)
|0, 4, 11, 13
|[3, 2]
| +3+?+2
|0.00073
|0.00073
|-
|-
|23
|23
|(0, 5, 18, 20)
|0, 5, 18, 20
|[3, 2]
| +3+?+2
|0.00099
|0.00099
|-
|-
|23
|23
|(0, 5, 19, 21)
|0, 5, 19, 21
|[3, 2]
| +3+?+2
|0.00110
|0.00110
|-
|-
|23
|23
|(0, 6, 11, 14)
|0, 6, 11, 14
|[3, 2]
| +3+?+2
|0.00020
|0.00020
|-
|-
|23
|23
|(0, 7, 17, 20)
|0, 7, 17, 20
|[3, 2]
| +3+?+2
|0.00088
|0.00088
|-
|-
|23
|23
|(0, 8, 12, 16)
|0, 8, 12, 16
|[3, 2]
| +3+?+2
|0.00139
|0.00139
|-
|-
|23
|23
|(0, 9, 16, 20)
|0, 9, 16, 20
|[3, 2]
| +3+?+2
|0.00014
|0.00014
|-
|-
|23
|23
|(0, 10, 12, 17)
|0, 10, 12, 17
|[3, 2]
| +3+?+2
|0.00063
|0.00063
|-
|-
|23
|23
|(0, 11, 16, 21)
|0, 11, 16, 21
|[3, 2]
| +3+?+2
|0.00087
|0.00087
|-
|-
|23
|23
|(0, 13, 16, 22)
|0, 13, 16, 22
|[3, 2]
| +3+?+2
|0.00081
|0.00081
|}
|}
Retrieved from "https://en.xen.wiki/w/Partially_delta-rational_tetrads_in_small_edos"