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→Magic tunings: improve and standardize tuning spectra tables
Line 91: Line 91:
== Tuning spectra ==
== Tuning spectra ==
=== Magic ===
=== Magic ===
Gencom: [2 5/4; 100/99 105/104 144/143 196/195]
Gencom: [2 5/4; 100/99 105/104 144/143 196/195]


Gencom map: [{{map|1 0 2 -1 6 -2}}, {{map|0 5 1 12 -8 18}}]
Gencom map: [{{map| 1 0 2 -1 6 -2 }}, {{map| 0 5 1 12 -8 18 }}]


{| class="wikitable center-all"
{| class="wikitable center-all left-4"
|-
|-
! ET<br>generator
! ET<br>Generator
! [[eigenmonzo|eigenmonzo<br>(unchanged interval]])
! [[Eigenmonzo|Eigenmonzo<br>(Unchanged Interval)]]
! generator<br>(¢)
! Generator<br>(¢)
! comments
! Comments
|-
|-
|
|
Line 288: Line 287:
Gencom: [2 5/4; 100/99 225/224 245/243 275/273]
Gencom: [2 5/4; 100/99 225/224 245/243 275/273]


Gencom map: [{{map|1 0 2 -1 6 11}}, {{map|0 5 1 12 -8 -23}}]
Gencom map: [{{map| 1 0 2 -1 6 11 }}, {{map| 0 5 1 12 -8 -23 }}]


{| class="wikitable center-all"
{| class="wikitable center-all left-4"
|-
|-
! ET<br>generator
! ET<br>Generator
! | eigenmonzo<br>(unchanged interval)
! [[Eigenmonzo|Eigenmonzo<br>(Unchanged Interval)]]
! | major<br>third (¢)
! Generator<br>(¢)
! | comments
! Comments
|-
|-
|
|
Line 315: Line 314:
| 27/20
| 27/20
| 379.968
| 379.968
| 5 limit least squares
| 5-odd-limit least squares
|-
|-
| 19\60
| 19\60
Line 338: Line 337:
|-
|-
|
|
| {{vector|0 36 -23 32}}
| {{monzo| 0 36 -23 32 }}
| 380.384
| 380.384
| 9 limit least squares
| 9-odd-limit least squares
|-
|-
|
|
| 4/3
| 4/3
| 380.391
| 380.391
| 5, 7 and 9 limit minimax
| 5-, 7- and 9-odd-limit minimax
|-
|-
| 13\41
| 13\41
Line 353: Line 352:
|-
|-
|
|
| {{vector|0 1 -7 15}}
| {{monzo| 0 1 -7 15 }}
| 380.506
| 380.506
| 7 limit least squares
| 7-odd-limit least squares
|-
|-
|
|
| 11/9
| 11/9
| 380.700
| 380.700
| 11 limit minimax
| 11-odd-limit minimax
|-
|-
|
|
| 18/13
| 18/13
| 380.709
| 380.709
| 13 and 15 limit minimax
| 13- and 15-odd-limit minimax
|-
|-
|
|
| {{vector|0 85 -14 52 -68}}
| {{monzo| 0 85 -14 52 -68 }}
| 380.714
| 380.714
| 11 limit least squares
| 11-odd-limit least squares
|-
|-
|
|
Line 393: Line 392:
|-
|-
|
|
| {{vector|0 -179 -10 -87 53 158}}
| {{monzo| 0 -179 -10 -87 53 158 }}
| 380.785
| 380.785
| 13 limit least squares
| 13-odd-limit least squares
|-
|-
|
|
Line 403: Line 402:
|-
|-
|
|
| {{vector|0 -222 -53 -93 67 187}}
| {{monzo| 0 -222 -53 -93 67 187 }}
| 380.817
| 380.817
| 15 limit least squares
| 15-odd-limit least squares
|-
|-
|
|
Line 482: Line 481:
Gencom: [2 5/4; 65/64 78/77 91/90 100/99]
Gencom: [2 5/4; 65/64 78/77 91/90 100/99]


Gencom map: [{{map|1 0 2 -1 6 4}}, {{map|0 5 1 12 -8 -1}}]
Gencom map: [{{map| 1 0 2 -1 6 4 }}, {{map| 0 5 1 12 -8 -1 }}]


{| class="wikitable center-all"
{| class="wikitable center-all left-4"
|-
|-
! ET<br>generator
! ET<br>Generator
! | eigenmonzo<br>(unchanged interval)
! [[Eigenmonzo|Eigenmonzo<br>(Unchanged Interval)]]
! | major<br>third (¢)
! Generator<br>(¢)
! | comments
! Comments
|-
|-
|
|
Line 539: Line 538:
| 27/20
| 27/20
| 379.968
| 379.968
| 5 limit least squares
| 5-odd-limit least squares
|-
|-
| 19\60
| 19\60
Line 562: Line 561:
|-
|-
|
|
| {{vector|0 36 -23 32}}
| {{monzo| 0 36 -23 32 }}
| 380.384
| 380.384
| 9 limit least squares
| 9-odd-limit least squares
|-
|-
|
|
| 4/3
| 4/3
| 380.391
| 380.391
| 5, 7 and 9 limit minimax
| 5-, 7- and 9-odd-limit minimax
|-
|-
|
|
| {{vector|0 -113 12 -65 75 26}}
| {{monzo| 0 -113 12 -65 75 26 }}
| 380.427
| 380.427
| 13 limit least squares
| 13-odd-limit least squares
|-
|-
|
|
| {{vector|0 134 9 71 -89 -33}}
| {{monzo| 0 134 9 71 -89 -33 }}
| 380.457
| 380.457
| 15 limit least squares
| 15-odd-limit least squares
|-
|-
| 13\41
| 13\41
Line 587: Line 586:
|-
|-
|
|
| {{vector|0 1 -7 15}}
| {{monzo| 0 1 -7 15 }}
| 380.506
| 380.506
| 7 limit least squares
| 7-odd-limit least squares
|-
|-
|
|
| 11/9
| 11/9
| 380.700
| 380.700
| 11, 13 and 15 limit minimax
| 11-, 13- and 15-odd-limit minimax
|-
|-
|
|
| {{vector|0 85 -14 52 -68}}
| {{monzo| 0 85 -14 52 -68 }}
| 380.714
| 380.714
| 11 limit least squares
| 11-odd-limit least squares
|-
|-
|
|
Line 676: Line 675:
Gencom: [2 5/4; 55/54 65/64 91/90 99/98]
Gencom: [2 5/4; 55/54 65/64 91/90 99/98]


Gencom map: [{{map|1 0 2 -1 -1 4}}, {{map|0 5 1 12 14 -1}}]
Gencom map: [{{map| 1 0 2 -1 -1 4 }}, {{map| 0 5 1 12 14 -1 }}]


{| class="wikitable center-all"
{| class="wikitable center-all left-4"
|-
|-
! ET<br>generator
! ET<br>Generator
! | eigenmonzo<br>(unchanged interval)
! [[Eigenmonzo|Eigenmonzo<br>(Unchanged Interval)]]
! | major<br>third (¢)
! Generator<br>(¢)
! | comments
! Comments
|-
|-
|
|
Line 733: Line 732:
| 27/20
| 27/20
| 379.968
| 379.968
| 5 limit least squares
| 5-odd-limit least squares
|-
|-
| 19\60
| 19\60
Line 756: Line 755:
|-
|-
|
|
| {{vector|0 36 -23 32}}
| {{monzo| 0 36 -23 32 }}
| 380.384
| 380.384
| 9 limit least squares
| 9-odd-limit least squares
|-
|-
|
|
| 4/3
| 4/3
| 380.391
| 380.391
| 5, 7 and 9 limit minimax
| 5-, 7- and 9-odd-limit minimax
|-
|-
| 13\41
| 13\41
Line 771: Line 770:
|-
|-
|
|
| {{vector|0 1 -7 15}}
| {{monzo| 0 1 -7 15 }}
| 380.506
| 380.506
| 7 limit least squares
| 7-odd-limit least squares
|-
|-
|
|
| {{vector|0 47 -34 43 57 -48}}
| {{monzo| 0 47 -34 43 57 -48 }}
| 380.676
| 380.676
| 13 limit least squares
| 13-odd-limit least squares
|-
|-
|
|
| {{vector|0 46 -35 49 65 -55}}
| {{monzo| 0 46 -35 49 65 -55 }}
| 380.691
| 380.691
| 15 limit least squares
| 15-odd-limit least squares
|-
|-
|
|
| 13/11
| 13/11
| 380.719
| 380.719
| 13 and 15 limit minimax
| 13- and 15-odd-limit minimax
|-
|-
|
|
Line 816: Line 815:
|-
|-
|
|
| {{vector|0 19 -36 30 42}}
| {{monzo| 0 19 -36 30 42 }}
| 381.380
| 381.380
| 11 limit least squares
| 11-odd-limit least squares
|-
|-
| 7\22
| 7\22
Line 828: Line 827:
| 11/10
| 11/10
| 381.923
| 381.923
| 11 limit minimax
| 11-odd-limit minimax
|-
|-
|
|
Line 870: Line 869:
Gencom: [2 5/4; 105/104 196/195 245/243 275/273]
Gencom: [2 5/4; 105/104 196/195 245/243 275/273]


Gencom map: [{{map|1 0 2 -1 -7 -2}}, {{map|0 5 1 12 33 18}}]
Gencom map: [{{map| 1 0 2 -1 -7 -2 }}, {{map| 0 5 1 12 33 18 }}]


{| class="wikitable center-all"
{| class="wikitable center-all left-4"
|-
|-
! ET<br>generator
! ET<br>Generator
! | eigenmonzo<br>(unchanged interval)
! [[Eigenmonzo|Eigenmonzo<br>(Unchanged Interval)]]
! | major<br>third (¢)
! Generator<br>(¢)
! | comments
! Comments
|-
|-
|
|
Line 917: Line 916:
| 27/20
| 27/20
| 379.968
| 379.968
| 5 limit least squares
| 5-odd-limit least squares
|-
|-
|
|
Line 942: Line 941:
| 15/11
| 15/11
| 380.113
| 380.113
| 15 limit minimax
| 15-odd-limit minimax
|-
|-
|
|
| 14/11
| 14/11
| 380.119
| 380.119
| 13 limit minimax
| 13-odd-limit minimax
|-
|-
|
|
Line 955: Line 954:
|-
|-
|
|
| {{vector|0 -106 -111 11 179 59}}
| {{monzo| 0 -106 -111 11 179 59 }}
| 380.193
| 380.193
| 15 limit least squares
| 15-odd-limit least squares
|-
|-
| 32\101
| 32\101
Line 965: Line 964:
|-
|-
|
|
| {{vector|0 -67 -72 5 152 47}}
| {{monzo| 0 -67 -72 5 152 47 }}
| 380.218
| 380.218
| 13 limit least squares
| 13-odd-limit least squares
|-
|-
|
|
Line 975: Line 974:
|-
|-
|
|
| {{vector|0 -38 -55 11 137}}
| {{monzo| 0 -38 -55 11 137 }}
| 380.278
| 380.278
| 11 limit least squares
| 11-odd-limit least squares
|-
|-
|
|
Line 992: Line 991:
| 11/8
| 11/8
| 380.343
| 380.343
| 11 limit minimax
| 11-odd-limit minimax
|-
|-
|
|
| {{vector|0 36 -23 32}}
| {{monzo| 0 36 -23 32 }}
| 380.384
| 380.384
| 9 limit least squares
| 9-odd-limit least squares
|-
|-
|
|
| 4/3
| 4/3
| 380.391
| 380.391
| 5, 7 and 9 limit minimax
| 5-, 7- and 9-odd-limit minimax
|-
|-
| 13\41
| 13\41
Line 1,059: Line 1,058:
Gencom: [2 5/4; 45/44 65/64 78/77 126/125]
Gencom: [2 5/4; 45/44 65/64 78/77 126/125]


Gencom map: [{{map|1 0 2 5 0 4}}, {{map|0 5 1 -7 11 -1}}]
Gencom map: [{{map| 1 0 2 5 0 4 }}, {{map| 0 5 1 -7 11 -1 }}]


{| class="wikitable center-all"
{| class="wikitable center-all left-4"
|-
|-
! ET<br>generator
! ET<br>Generator
! | eigenmonzo<br>(unchanged interval)
! [[Eigenmonzo|Eigenmonzo<br>(Unchanged Interval)]]
! | major<br>third (¢)
! Generator<br>(¢)
! | comments
! Comments
|-
|-
|
|
Line 1,126: Line 1,125:
| 11/8
| 11/8
| 377.393
| 377.393
| 11, 13 and 15 limit minimax
| 11-, 13- and 15-odd-limit minimax
|-
|-
|
|
| {{vector|0 113 -12 -68 58 -26}}
| {{monzo| 0 113 -12 -68 58 -26 }}
| 377.630
| 377.630
| 13 limit least squares
| 13-odd-limit least squares
|-
|-
|
|
| {{vector|0 -21 -5 27}}
| {{monzo| 0 -21 -5 27 }}
| 377.640
| 377.640
| 7 limit least squares
| 7-odd-limit least squares
|-
|-
|
|
| {{vector|0 134 9 -81 63 -33}}
| {{monzo| 0 134 9 -81 63 -33 }}
| 377.718
| 377.718
| 15 limit least squares
| 15-odd-limit least squares
|-
|-
|
|
| {{vector|0 85 -14 -62 46}}
| {{monzo| 0 85 -14 -62 46 }}
| 377.758
| 377.758
| 11 limit least squares
| 11-odd-limit least squares
|-
|-
|
|
| 7/6
| 7/6
| 377.761
| 377.761
| 7 limit minimax
| 7-odd-limit minimax
|-
|-
|
|
Line 1,171: Line 1,170:
| 9/7
| 9/7
| 378.534
| 378.534
| 9 limit minimax
| 9-odd-limit minimax
|-
|-
|
|
| {{vector|0 93 -4 -44}}
| {{monzo| 0 93 -4 -44 }}
| 378.554
| 378.554
| 9 limit least squares
| 9-odd-limit least squares
|-
|-
|
|
Line 1,201: Line 1,200:
| 27/20
| 27/20
| 379.968
| 379.968
| 5 limit least squares
| 5-odd-limit least squares
|-
|-
| 19\60
| 19\60
Line 1,216: Line 1,215:
| 4/3
| 4/3
| 380.391
| 380.391
| 5 limit minimax
| 5-odd-limit minimax
|-
|-
| 13\41
| 13\41
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