Magic family: Difference between revisions
Review optimal GPV sequences; +missing CTE and CWE tunings, +error maps, and misc. cleanup (1/2) |
Review optimal GPV sequences; +missing CTE and CWE tunings, +error maps, and misc. cleanup (2/2) |
||
Line 719: | Line 719: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000, ~5/4 = 378.744 | * [[CTE]]: ~2 = 1200.000, ~5/4 = 378.744 | ||
: [[error map]]: {{val| 0.000 -8.235 -7.570 -20.034 }} | |||
* [[POTE]]: ~2 = 1200.000, ~5/4 = 378.479 | * [[POTE]]: ~2 = 1200.000, ~5/4 = 378.479 | ||
: error map: {{val| 0.000 -9.558 -7.834 -18.181 }} | |||
[[Tuning ranges]]: | [[Tuning ranges]]: | ||
Line 745: | Line 747: | ||
* 11-odd-limit diamond tradeoff: ~5/4 = [347.408, 386.314] | * 11-odd-limit diamond tradeoff: ~5/4 = [347.408, 386.314] | ||
{{Optimal ET sequence|legend=0| 16, 19, 54bd }} | {{Optimal ET sequence|legend=0| 16, 19, 35, 54bd }} | ||
Badness (Smith): 0.048038 | Badness (Smith): 0.048038 | ||
Line 760: | Line 762: | ||
* POTE: ~2 = 1200.000, ~5/4 = 377.653 | * POTE: ~2 = 1200.000, ~5/4 = 377.653 | ||
{{Optimal ET sequence|legend=0| 16, 19, 54bdf }} | {{Optimal ET sequence|legend=0| 16, 19, 35f, 54bdf }} | ||
Badness (Smith): 0.030386 | Badness (Smith): 0.030386 | ||
Line 775: | Line 777: | ||
* POTE: ~2 = 1200.000, ~5/4 = 377.832 | * POTE: ~2 = 1200.000, ~5/4 = 377.832 | ||
{{Optimal ET sequence|legend=0| 3 | {{Optimal ET sequence|legend=0| 3, 16, 19e, 35ee, 54bdeee }} | ||
Badness (Smith): 0.046970 | Badness (Smith): 0.046970 | ||
Line 790: | Line 792: | ||
* POTE: ~2 = 1200.000, ~5/4 = 377.838 | * POTE: ~2 = 1200.000, ~5/4 = 377.838 | ||
{{Optimal ET sequence|legend=0| 3 | {{Optimal ET sequence|legend=0| 3, 16, 19e, 35eef }} | ||
Badness (Smith): 0.028732 | Badness (Smith): 0.028732 | ||
Line 807: | Line 809: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000, ~5/4 = 377.385 | * [[CTE]]: ~2 = 1200.000, ~5/4 = 377.385 | ||
: [[error map]]: {{val| 0.000 -15.028 -8.928 +27.643 }} | |||
* [[CWE]]: ~2 = 1200.000, ~5/4 = 376.963 | |||
: error map: {{val| 0.000 -18.198 -9.562 +21.937 }} | |||
{{Optimal ET sequence|legend=1| 3d, …, 13b, 16 | {{Optimal ET sequence|legend=1| 3d, …, 13b, 16 }} | ||
[[Badness]] (Smith): 0.084213 | [[Badness]] (Smith): 0.084213 | ||
Line 821: | Line 826: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~5/4 = 377.388 | * CTE: ~2 = 1200.000, ~5/4 = 377.388 | ||
* CWE: ~2 = 1200.000, ~5/4 = 376.973 | |||
{{Optimal ET sequence|legend=0| 3de | {{Optimal ET sequence|legend=0| 3de, 13be, 16 }} | ||
Badness (Smith): 0.046775 | Badness (Smith): 0.046775 | ||
Line 835: | Line 841: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~5/4 = 376.914 | * CTE: ~2 = 1200.000, ~5/4 = 376.914 | ||
* CWE: ~2 = 1200.000, ~5/4 = 376.422 | |||
{{Optimal ET sequence|legend=0| 3def, | {{Optimal ET sequence|legend=0| 3def, 13beff, 16 }} | ||
Badness (Smith): 0.038328 | Badness (Smith): 0.038328 | ||
Line 851: | Line 858: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000, ~5/4 = 381.955 | * [[CTE]]: ~2 = 1200.000, ~5/4 = 381.955 | ||
: [[error map]]: {{val| 0.000 +7.818 -4.359 +11.627 }} | |||
* [[CWE]]: ~2 = 1200.000, ~5/4 = 381.956 | |||
: error map: {{val| 0.000 +7.826 -4.358 +11.613 }} | |||
{{Optimal ET sequence|legend=1| 3 | {{Optimal ET sequence|legend=1| 3, 19d, 22 }} | ||
[[Badness]] (Smith): 0.088072 | [[Badness]] (Smith): 0.088072 | ||
Line 865: | Line 875: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~5/4 = 381.790 | * CTE: ~2 = 1200.000, ~5/4 = 381.790 | ||
* CWE: ~2 = 1200.000, ~5/4 = 381.712 | |||
{{Optimal ET sequence|legend=0| 3 | {{Optimal ET sequence|legend=0| 3, 19d, 22 }} | ||
Badness (Smith): 0.047379 | Badness (Smith): 0.047379 | ||
Line 879: | Line 890: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~5/4 = 381.732 | * CTE: ~2 = 1200.000, ~5/4 = 381.732 | ||
* CWE: ~2 = 1200.000, ~5/4 = 381.736 | |||
{{Optimal ET sequence|legend=0| 3 | {{Optimal ET sequence|legend=0| 3, 22 }} | ||
Badness (Smith): 0.039703 | Badness (Smith): 0.039703 | ||
Line 897: | Line 909: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000, ~63/50 = 409.836 | * [[CTE]]: ~2 = 1200.000, ~63/50 = 409.836 | ||
: [[error map]]: {{val| 0.000 -0.316 -5.986 -1.612 }} | |||
* [[POTE]]: ~2 = 1200.000, ~63/50 = 410.108 | * [[POTE]]: ~2 = 1200.000, ~63/50 = 410.108 | ||
: error map: {{val| 0.000 -0.437 -6.010 -1.406 }} | |||
{{Optimal ET sequence|legend=1| 3 | {{Optimal ET sequence|legend=1| 3, 38, 41, 161c }} | ||
[[Badness]] (Smith): 0.107115 | [[Badness]] (Smith): 0.107115 | ||
Line 918: | Line 932: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000, ~147/100 = 673.187 | * [[CTE]]: ~2 = 1200.000, ~147/100 = 673.187 | ||
: [[error map]]: {{val| 0.000 +0.240 -5.875 -2.891 }} | |||
* [[POTE]]: ~2 = 1200.000, ~147/100 = 673.290 | * [[POTE]]: ~2 = 1200.000, ~147/100 = 673.290 | ||
: error map: {{val| 0.000 -0.932 -6.109 -2.500 }} | |||
{{Optimal ET sequence|legend=1| 16, 25, 41 }} | {{Optimal ET sequence|legend=1| 16, 25, 41, 139c, 180c, 221cc, 262ccd }} | ||
[[Badness]] (Smith): 0.098334 | [[Badness]] (Smith): 0.098334 | ||
Line 935: | Line 951: | ||
* POTE: ~2 = 1200.000, ~22/15 = 673.340 | * POTE: ~2 = 1200.000, ~22/15 = 673.340 | ||
{{Optimal ET sequence|legend=0| 16, 25e, 41, | {{Optimal ET sequence|legend=0| 16, 25e, 41, 98c }} | ||
Badness (Smith): 0.045623 | Badness (Smith): 0.045623 | ||
Line 950: | Line 966: | ||
* POTE: ~2 = 1200.000, ~22/15 = 673.359 | * POTE: ~2 = 1200.000, ~22/15 = 673.359 | ||
{{Optimal ET sequence|legend=0| 16, 25e, 41, | {{Optimal ET sequence|legend=0| 16, 25e, 41, 98c }} | ||
Badness (Smith): 0.033081 | Badness (Smith): 0.033081 | ||
Line 961: | Line 977: | ||
{{Mapping|legend=1| 1 5 3 4 | 0 -20 -4 -7 }} | {{Mapping|legend=1| 1 5 3 4 | 0 -20 -4 -7 }} | ||
: | : mapping generators: ~2, ~28/25 | ||
{{Multival|legend=1| 20 4 7 -40 -45 5 }} | {{Multival|legend=1| 20 4 7 -40 -45 5 }} | ||
Line 967: | Line 983: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000, ~28/25 = 204.860 | * [[CTE]]: ~2 = 1200.000, ~28/25 = 204.860 | ||
: [[error map]]: {{val| 0.000 +0.853 -5.752 -2.843 }} | |||
* [[POTE]]: ~2 = 1200.000, ~28/25 = 204.987 | * [[POTE]]: ~2 = 1200.000, ~28/25 = 204.987 | ||
: error map: {{val| 0.000 -1.691 -6.261 -3.733 }} | |||
{{Optimal ET sequence|legend=1| 6 | {{Optimal ET sequence|legend=1| 6, 29b, 35, 41, 158cd, 199ccd, 240ccd, 281ccd }} | ||
[[Badness]] (Smith): 0.127422 | [[Badness]] (Smith): 0.127422 | ||
Line 984: | Line 1,002: | ||
* POTE: ~2 = 1200.000, ~28/25 = 204.956 | * POTE: ~2 = 1200.000, ~28/25 = 204.956 | ||
{{Optimal ET sequence|legend=0| 6 | {{Optimal ET sequence|legend=0| 6, 35, 41 }} | ||
Badness (Smith): 0.061572 | Badness (Smith): 0.061572 | ||
Line 999: | Line 1,017: | ||
* POTE: ~2 = 1200.000, ~28/25 = 205.028 | * POTE: ~2 = 1200.000, ~28/25 = 205.028 | ||
{{Optimal ET sequence|legend=0| 35f, 41, | {{Optimal ET sequence|legend=0| 6f, 35f, 41, 117c }} | ||
Badness (Smith): 0.044047 | Badness (Smith): 0.044047 | ||
Line 1,009: | Line 1,027: | ||
{{Mapping|legend=1| 1 -10 0 -6 | 0 25 5 19 }} | {{Mapping|legend=1| 1 -10 0 -6 | 0 25 5 19 }} | ||
: mapping generators: ~2, ~48/35 | |||
{{Multival|legend=1| 25 5 19 -50 -40 30 }} | {{Multival|legend=1| 25 5 19 -50 -40 30 }} | ||
Line 1,014: | Line 1,034: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000, ~48/35 = 556.123 | * [[CTE]]: ~2 = 1200.000, ~48/35 = 556.123 | ||
: [[error map]]: {{val| 0.000 +1.132 -5.696 -2.480 }} | |||
* [[CWE]]: ~2 = 1200.000, ~48/35 = 556.050 | |||
: error map: {{val| 0.000 -0.695 -6.062 -3.868 }} | |||
{{Optimal ET sequence|legend=1| 13b, 28b, 41 }} | {{Optimal ET sequence|legend=1| 13b, 28b, 41, 177bcd, 218bccdd, 259bccdd, 300cccdd }} | ||
[[Badness]] (Smith): 0.194548 | [[Badness]] (Smith): 0.194548 | ||
Line 1,028: | Line 1,051: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~11/8 = 556.122 | * CTE: ~2 = 1200.000, ~11/8 = 556.122 | ||
* CWE: ~2 = 1200.000, ~11/8 = 556.095 | |||
{{Optimal ET sequence|legend=0| 13b, 28b, 41 }} | {{Optimal ET sequence|legend=0| 13b, 28b, 41 }} | ||
Line 1,042: | Line 1,066: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~11/8 = 556.106 | * CTE: ~2 = 1200.000, ~11/8 = 556.106 | ||
* CWE: ~2 = 1200.000, ~11/8 = 556.117 | |||
{{Optimal ET sequence|legend=0| 13b, 28b, 41 }} | {{Optimal ET sequence|legend=0| 13b, 28b, 41 }} | ||
Line 1,058: | Line 1,083: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~8/7 = 240.000, ~5/4 = 380.499 (~256/245 = 99.501) | * [[CTE]]: ~8/7 = 240.000, ~5/4 = 380.499 (~256/245 = 99.501) | ||
* [[ | : [[error map]]: {{val| 0.000 +0.542 -5.814 -8.826 }} | ||
* [[CWE]]: ~8/7 = 240.000, ~5/4 = 379.997 (~256/245 = 100.003) | |||
: error map: {{val| 0.000 -1.972 -6.317 -8.826 }} | |||
{{Optimal ET sequence|legend=1| 25, 35, 60 }} | {{Optimal ET sequence|legend=1| 25, 35, 60 }} |