FloraC: +links and categories

2024-05-19T09:38:10Z

+links and categories

← Older revision		Revision as of 09:38, 19 May 2024
Line 1:		Line 1:
	The following table shows the [[TE simple badness\|TE simple badnesses aka relative errors]] in a certain JI subgroup for equal ~~temperaments~~ up to 99.		The following table shows the [[TE simple badness\|TE simple badnesses aka relative errors]] in a certain [[JI subgroup]] for [[equal temperament]]s up to 99.

	Notes:		Notes:
Line 1,009:		Line 1,009:
	\| 7.67		\| 7.67
	\|}		\|}

			[[Category:EDO theory pages]]
			[[Category:Tables]]

FloraC: Moved from relative errors of small edos

2024-05-19T09:36:08Z

Moved from relative errors of small edos

New page

The following table shows the [[TE simple badness|TE simple badnesses aka relative errors]] in a certain JI subgroup for equal temperaments up to 99.

Notes:
# [[Patent val]] mapping is used throughout.
# Each equal temperament is TE-optimally tuned.
# [[Graham Breed]]'s normalization method is used, scaled by 100.

{| class="wikitable sortable mw-collapsible" style="text-align:right"
! rowspan="2" | ET
! colspan="8" | TE Simple Badness (%)
|-
! 3-limit
! 5-limit
! 7-limit
! 11-limit
! 13-limit
! 17-limit
! 19-limit
! 23-limit
|-
| 1
| 13.09
| 16.61
| 14.43
| 14.79
| 13.75
| 12.83
| 12.25
| 11.95
|-
| 2
| 5.36
| 10.69
| 10.66
| 9.58
| 10.37
| 9.82
| 10.07
| 9.50
|-
| 3
| 7.73
| 6.97
| 10.80
| 10.68
| 9.76
| 9.17
| 9.04
| 9.20
|-
| 4
| 10.72
| 8.79
| 7.73
| 9.20
| 9.67
| 9.02
| 8.67
| 8.22
|-
| 5
| 2.37
| 7.08
| 7.15
| 8.41
| 8.72
| 9.61
| 9.34
| 9.11
|-
| 6
| 15.46
| 13.94
| 12.32
| 11.08
| 11.52
| 10.79
| 11.89
| 11.51
|-
| 7
| 2.99
| 4.46
| 8.72
| 8.06
| 7.57
| 7.97
| 7.72
| 7.55
|-
| 8
| 10.10
| 9.11
| 14.89
| 13.41
| 12.35
| 11.44
| 10.92
| 10.81
|-
| 9
| 8.35
| 9.09
| 8.21
| 7.37
| 6.83
| 7.37
| 6.91
| 7.32
|-
| 10
| 4.74
| 7.73
| 6.79
| 7.83
| 7.19
| 6.68
| 7.58
| 7.34
|-
| 11
| 13.71
| 19.34
| 17.01
| 15.22
| 14.29
| 13.23
| 12.52
| 11.88
|-
| 12
| 0.62
| 3.11
| 4.94
| 5.99
| 8.35
| 7.88
| 7.40
| 7.47
|-
| 13
| 12.48
| 14.02
| 15.79
| 14.13
| 12.94
| 12.03
| 11.34
| 10.84
|-
| 14
| 5.98
| 13.72
| 13.32
| 12.86
| 12.12
| 11.31
| 10.99
| 10.44
|-
| 15
| 7.12
| 5.81
| 6.97
| 6.25
| 6.65
| 7.73
| 7.29
| 6.88
|-
| 16
| 11.34
| 9.53
| 9.91
| 8.98
| 8.22
| 7.67
| 7.67
| 7.26
|-
| 17
| 1.76
| 10.52
| 11.30
| 10.51
| 9.65
| 9.88
| 9.32
| 8.88
|-
| 18
| 14.85
| 12.45
| 10.91
| 13.03
| 11.90
| 11.02
| 12.37
| 12.77
|-
| 19
| 3.61
| 3.02
| 4.35
| 6.79
| 6.47
| 7.40
| 7.56
| 7.17
|-
| 20
| 9.49
| 15.46
| 13.58
| 12.26
| 11.21
| 10.75
| 10.07
| 9.99
|-
| 21
| 8.97
| 11.67
| 10.27
| 10.30
| 9.76
| 9.06
| 8.80
| 8.31
|-
| 22
| 4.13
| 4.94
| 5.23
| 5.33
| 6.89
| 6.42
| 6.99
| 7.57
|-
| 23
| 14.33
| 11.79
| 16.76
| 17.03
| 15.55
| 14.44
| 13.91
| 13.12
|-
| 24
| 1.23
| 6.22
| 8.95
| 8.01
| 7.66
| 7.14
| 6.70
| 7.02
|-
| 25
| 11.86
| 11.70
| 11.76
| 12.70
| 12.57
| 11.89
| 11.30
| 10.68
|-
| 26
| 6.59
| 6.96
| 7.43
| 7.51
| 6.86
| 6.37
| 6.17
| 7.45
|-
| 27
| 6.50
| 6.19
| 5.40
| 9.37
| 8.58
| 9.13
| 8.70
| 8.41
|-
| 28
| 11.95
| 11.13
| 13.62
| 12.46
| 12.19
| 12.00
| 11.25
| 10.92
|-
| 29
| 1.14
| 7.41
| 7.91
| 7.15
| 6.54
| 8.94
| 8.36
| 7.89
|-
| 30
| 14.23
| 11.62
| 13.94
| 12.51
| 11.87
| 11.02
| 11.82
| 11.15
|-
| 31
| 4.22
| 4.20
| 3.70
| 3.84
| 5.35
| 5.75
| 5.93
| 5.89
|-
| 32
| 8.87
| 12.60
| 11.07
| 10.18
| 10.85
| 10.13
| 9.47
| 9.00
|-
| 33
| 9.58
| 14.46
| 13.86
| 12.72
| 11.71
| 10.87
| 10.30
| 9.91
|-
| 34
| 3.51
| 2.92
| 8.67
| 9.26
| 8.59
| 7.96
| 8.36
| 8.01
|-
| 35
| 14.94
| 12.31
| 10.85
| 10.54
| 13.06
| 12.22
| 12.27
| 11.61
|-
| 36
| 1.85
| 9.33
| 8.63
| 8.76
| 8.96
| 8.63
| 8.08
| 7.62
|-
| 37
| 11.24
| 9.82
| 8.70
| 8.37
| 7.78
| 8.21
| 8.13
| 8.42
|-
| 38
| 7.21
| 6.04
| 9.96
| 9.76
| 10.64
| 10.02
| 9.62
| 9.30
|-
| 39
| 5.88
| 7.89
| 13.78
| 12.34
| 12.08
| 11.86
| 11.42
| 11.21
|-
| 40
| 12.57
| 13.28
| 11.62
| 10.48
| 9.99
| 9.43
| 9.38
| 9.18
|-
| 41
| 0.52
| 4.31
| 3.76
| 4.51
| 5.29
| 6.00
| 5.90
| 6.59
|-
| 42
| 13.61
| 11.60
| 11.45
| 13.33
| 14.24
| 13.22
| 13.36
| 12.64
|-
| 43
| 4.84
| 6.75
| 7.56
| 7.08
| 6.85
| 6.49
| 6.35
| 6.45
|-
| 44
| 8.25
| 9.89
| 10.45
| 10.66
| 9.74
| 9.02
| 8.46
| 8.11
|-
| 45
| 10.20
| 9.75
| 8.49
| 11.84
| 13.50
| 12.72
| 11.90
| 12.03
|-
| 46
| 2.89
| 3.45
| 5.12
| 5.20
| 5.42
| 5.02
| 5.62
| 5.30
|-
| 47
| 15.56
| 13.54
| 13.24
| 14.39
| 13.38
| 12.39
| 12.20
| 11.98
|-
| 48
| 2.47
| 8.27
| 10.25
| 9.22
| 9.84
| 9.20
| 8.71
| 8.23
|-
| 49
| 10.63
| 8.69
| 7.87
| 7.11
| 10.12
| 10.85
| 10.67
| 10.09
|-
| 50
| 7.83
| 6.62
| 6.39
| 6.76
| 6.54
| 6.19
| 5.90
| 5.62
|-
| 51
| 5.27
| 11.79
| 10.34
| 9.93
| 10.23
| 9.89
| 10.15
| 10.01
|-
| 52
| 13.19
| 15.75
| 13.86
| 12.69
| 12.08
| 12.33
| 11.62
| 11.02
|-
| 53
| 0.10
| 1.22
| 3.81
| 5.65
| 5.22
| 6.05
| 5.76
| 5.75
|-
| 54
| 13.00
| 17.51
| 15.92
| 14.24
| 13.01
| 12.05
| 12.31
| 12.02
|-
| 55
| 5.46
| 9.63
| 10.57
| 9.63
| 10.83
| 10.23
| 10.02
| 9.52
|-
| 56
| 7.64
| 7.50
| 8.38
| 7.90
| 7.95
| 7.37
| 6.90
| 7.07
|-
| 57
| 10.82
| 9.06
| 9.30
| 8.47
| 8.68
| 8.41
| 7.92
| 7.98
|-
| 58
| 2.28
| 5.89
| 5.10
| 4.83
| 4.56
| 5.33
| 7.07
| 7.72
|-
| 59
| 15.37
| 14.43
| 12.55
| 12.56
| 13.10
| 12.56
| 11.85
| 11.19
|-
| 60
| 3.08
| 5.56
| 6.23
| 10.22
| 9.44
| 8.77
| 8.54
| 8.26
|-
| 61
| 10.01
| 8.59
| 11.66
| 10.84
| 9.93
| 10.38
| 9.95
| 9.39
|-
| 62
| 8.44
| 8.40
| 7.40
| 7.67
| 7.28
| 6.83
| 6.40
| 6.09
|-
| 63
| 4.65
| 8.77
| 8.00
| 7.17
| 6.73
| 7.50
| 7.41
| 7.03
|-
| 64
| 13.80
| 18.41
| 17.26
| 16.16
| 14.96
| 14.36
| 13.46
| 13.07
|-
| 65
| 0.71
| 1.94
| 7.82
| 7.65
| 8.94
| 8.68
| 8.23
| 7.77
|-
| 66
| 12.38
| 14.83
| 14.37
| 13.50
| 12.47
| 11.84
| 11.36
| 11.32
|-
| 67
| 6.07
| 12.62
| 11.18
| 10.24
| 9.35
| 8.67
| 8.44
| 8.10
|-
| 68
| 7.02
| 5.84
| 5.19
| 6.84
| 6.75
| 6.34
| 5.93
| 5.81
|-
| 69
| 11.43
| 9.40
| 12.23
| 12.30
| 11.48
| 10.67
| 9.98
| 9.41
|-
| 70
| 1.66
| 8.76
| 8.63
| 9.73
| 9.37
| 9.21
| 9.62
| 9.20
|-
| 71
| 14.75
| 12.71
| 14.95
| 13.52
| 12.34
| 12.20
| 11.49
| 11.25
|-
| 72
| 3.70
| 3.56
| 3.09
| 2.96
| 3.82
| 3.59
| 4.57
| 5.60
|-
| 73
| 9.39
| 9.56
| 9.59
| 8.65
| 9.62
| 10.93
| 10.60
| 10.47
|-
| 74
| 9.06
| 10.80
| 10.83
| 9.69
| 9.02
| 9.36
| 9.06
| 8.88
|-
| 75
| 4.03
| 5.85
| 8.36
| 10.29
| 10.36
| 9.98
| 9.51
| 9.57
|-
| 76
| 14.42
| 12.07
| 10.57
| 11.84
| 11.01
| 12.28
| 12.13
| 11.98
|-
| 77
| 1.33
| 5.04
| 5.59
| 6.66
| 6.25
| 6.42
| 6.03
| 6.03
|-
| 78
| 11.76
| 12.37
| 10.95
| 9.80
| 9.14
| 8.47
| 9.09
| 8.57
|-
| 79
| 6.69
| 7.84
| 10.49
| 9.43
| 8.66
| 8.64
| 9.55
| 9.10
|-
| 80
| 6.40
| 5.59
| 5.68
| 5.17
| 6.01
| 6.12
| 5.78
| 5.56
|-
| 81
| 12.05
| 10.67
| 9.49
| 8.65
| 10.05
| 9.45
| 8.94
| 8.50
|-
| 82
| 1.04
| 8.62
| 7.52
| 9.02
| 8.92
| 8.26
| 7.82
| 7.62
|-
| 83
| 14.14
| 11.58
| 11.68
| 11.82
| 11.53
| 11.44
| 10.90
| 11.25
|-
| 84
| 4.32
| 3.72
| 5.39
| 7.02
| 6.50
| 7.05
| 6.70
| 6.32
|-
| 85
| 8.78
| 13.57
| 12.98
| 11.80
| 11.37
| 11.76
| 11.08
| 10.84
|-
| 86
| 9.68
| 13.50
| 13.06
| 14.03
| 12.95
| 12.94
| 12.35
| 11.64
|-
| 87
| 3.42
| 3.30
| 5.45
| 4.90
| 4.53
| 5.35
| 5.77
| 5.92
|-
| 88
| 15.04
| 12.29
| 12.05
| 10.79
| 12.68
| 12.94
| 12.56
| 11.88
|-
| 89
| 1.95
| 8.15
| 7.08
| 6.35
| 7.57
| 7.12
| 6.77
| 6.77
|-
| 90
| 11.15
| 10.25
| 9.07
| 11.10
| 10.39
| 9.62
| 9.75
| 9.33
|-
| 91
| 7.31
| 6.49
| 6.51
| 8.82
| 9.74
| 9.28
| 9.95
| 9.93
|-
| 92
| 5.79
| 6.91
| 10.24
| 10.40
| 10.83
| 10.03
| 9.52
| 9.06
|-
| 93
| 12.67
| 12.60
| 11.09
| 11.46
| 10.46
| 9.68
| 9.09
| 9.14
|-
| 94
| 0.43
| 5.52
| 5.74
| 5.35
| 5.48
| 5.28
| 5.24
| 4.99
|-
| 95
| 13.52
| 11.23
| 9.90
| 8.98
| 8.20
| 10.47
| 9.80
| 9.34
|-
| 96
| 4.93
| 5.86
| 9.86
| 9.14
| 8.90
| 8.96
| 8.59
| 8.28
|-
| 97
| 8.16
| 10.76
| 10.97
| 11.24
| 10.26
| 10.60
| 9.92
| 9.49
|-
| 98
| 10.29
| 16.34
| 14.25
| 12.75
| 12.32
| 11.92
| 11.54
| 11.15
|-
| 99
| 2.80
| 2.63
| 2.33
| 7.27
| 7.48
| 7.75
| 8.09
| 7.67
|}

Relative errors of small equal temperaments - Revision history

FloraC: +links and categories

FloraC: Moved from relative errors of small edos