Meantone family: Difference between revisions
Normalize, +missing CTE and CWE tunings, +error maps, and misc. cleanup |
m Re-adopt template: Optimal ET sequence |
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| Line 146: | Line 146: | ||
Algebraic generator: Traverse, the positive real root of ''x''<sup>4</sup> + 2''x'' - 13, or 696.9529 cents. | Algebraic generator: Traverse, the positive real root of ''x''<sup>4</sup> + 2''x'' - 13, or 696.9529 cents. | ||
{{Optimal ET sequence|legend=0| 12, 19e, 31, 105, 136b }} | |||
Badness: 0.017027 | Badness: 0.017027 | ||
| Line 168: | Line 168: | ||
: eigenmonzo (unchanged-interval) basis: 2.11/9 | : eigenmonzo (unchanged-interval) basis: 2.11/9 | ||
{{Optimal ET sequence|legend=0| 12f, 19e, 31 }} | |||
Badness: 0.018048 | Badness: 0.018048 | ||
| Line 185: | Line 185: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.377 | * POTE: ~2 = 1200.000, ~3/2 = 696.377 | ||
{{Optimal ET sequence|legend=0| 12fg, 19eg, 31, 50e }} | |||
Badness: 0.019037 | Badness: 0.019037 | ||
| Line 200: | Line 200: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.273 | * POTE: ~2 = 1200.000, ~3/2 = 696.273 | ||
{{Optimal ET sequence|legend=0| 12fghh, 19egh, 31, 50e }} | |||
Badness: 0.017846 | Badness: 0.017846 | ||
| Line 217: | Line 217: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.448 | * POTE: ~2 = 1200.000, ~3/2 = 696.448 | ||
{{Optimal ET sequence|legend=0| 12f, 19eg, 31g }} | |||
Badness: 0.019433 | Badness: 0.019433 | ||
| Line 232: | Line 232: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.394 | * POTE: ~2 = 1200.000, ~3/2 = 696.394 | ||
{{Optimal ET sequence|legend=0| 12f, 19egh, 31gh }} | |||
Badness: 0.017437 | Badness: 0.017437 | ||
| Line 249: | Line 249: | ||
* POTE: ~2 = 1200.000, ~3/2 = 697.003 | * POTE: ~2 = 1200.000, ~3/2 = 697.003 | ||
{{Optimal ET sequence|legend=0| 12f, 31 }} | |||
Badness: 0.019982 | Badness: 0.019982 | ||
| Line 264: | Line 264: | ||
* POTE: ~2 = 1200.000, ~3/2 = 697.140 | * POTE: ~2 = 1200.000, ~3/2 = 697.140 | ||
{{Optimal ET sequence|legend=0| 12f, 31 }} | |||
Badness: 0.018047 | Badness: 0.018047 | ||
| Line 289: | Line 289: | ||
* 13- and 15-odd-limit diamond tradeoff: ~3/2 = [691.202, 701.955] (1/2-comma to Pyth.) | * 13- and 15-odd-limit diamond tradeoff: ~3/2 = [691.202, 701.955] (1/2-comma to Pyth.) | ||
{{Optimal ET sequence|legend=0| 12, 31, 43, 74 }} | |||
Badness: 0.025899 | Badness: 0.025899 | ||
| Line 304: | Line 304: | ||
* POTE: ~2 = 1200.000, ~3/2 = 697.335 | * POTE: ~2 = 1200.000, ~3/2 = 697.335 | ||
{{Optimal ET sequence|legend=0| 12, 31, 43, 74g }} | |||
Badness: 0.020889 | Badness: 0.020889 | ||
| Line 319: | Line 319: | ||
* POTE: ~2 = 1200.000, ~3/2 = 697.380 | * POTE: ~2 = 1200.000, ~3/2 = 697.380 | ||
{{Optimal ET sequence|legend=0| 12, 31, 43, 74gh }} | |||
Badness: 0.017611 | Badness: 0.017611 | ||
| Line 340: | Line 340: | ||
: eigenmonzo (unchanged-interval) basis: 2.13/9 | : eigenmonzo (unchanged-interval) basis: 2.13/9 | ||
{{Optimal ET sequence|legend=0| 12f, 31f, 43 }} | |||
Badness: 0.026421 | Badness: 0.026421 | ||
| Line 355: | Line 355: | ||
* POTE: ~2 = 1200.000, ~3/2 = 697.514 | * POTE: ~2 = 1200.000, ~3/2 = 697.514 | ||
{{Optimal ET sequence|legend=0| 12fg, 31fg, 43 }} | |||
Badness: 0.027706 | Badness: 0.027706 | ||
| Line 370: | Line 370: | ||
* POTE: ~2 = 1200.000, ~3/2 = 697.481 | * POTE: ~2 = 1200.000, ~3/2 = 697.481 | ||
{{Optimal ET sequence|legend=0| 12fghh, 31fgh, 43 }} | |||
Badness: 0.025315 | Badness: 0.025315 | ||
| Line 385: | Line 385: | ||
* POTE: ~2 = 1200.000, ~3/2 = 697.376 | * POTE: ~2 = 1200.000, ~3/2 = 697.376 | ||
{{Optimal ET sequence|legend=0| 12f, 31fg, 43g }} | |||
Badness: 0.027518 | Badness: 0.027518 | ||
| Line 400: | Line 400: | ||
* POTE: ~2 = 1200.000, ~3/2 = 697.316 | * POTE: ~2 = 1200.000, ~3/2 = 697.316 | ||
{{Optimal ET sequence|legend=0| 12f, 19effgh, 31fgh, 43gh }} | |||
Badness: 0.023613 | Badness: 0.023613 | ||
| Line 415: | Line 415: | ||
* POTE: ~2 = 1200.000, ~3/2 = 697.644 | * POTE: ~2 = 1200.000, ~3/2 = 697.644 | ||
{{Optimal ET sequence|legend=0| 12f, 43 }} | |||
Badness: 0.023881 | Badness: 0.023881 | ||
| Line 430: | Line 430: | ||
* POTE: ~2 = 1200.000, ~3/2 = 697.715 | * POTE: ~2 = 1200.000, ~3/2 = 697.715 | ||
{{Optimal ET sequence|legend=0| 12f, 43 }} | |||
Badness: 0.020540 | Badness: 0.020540 | ||
| Line 447: | Line 447: | ||
* POTE: ~2 = 1200.000, ~26/15 = 948.465 | * POTE: ~2 = 1200.000, ~26/15 = 948.465 | ||
{{Optimal ET sequence|legend=0| 19e, 43, 62 }} | |||
Badness: 0.031433 | Badness: 0.031433 | ||
| Line 462: | Line 462: | ||
* POTE: ~2 = 1200.000, ~26/15 = 948.477 | * POTE: ~2 = 1200.000, ~26/15 = 948.477 | ||
{{Optimal ET sequence|legend=0| 19eg, 43, 62 }} | |||
Badness: 0.023380 | Badness: 0.023380 | ||
| Line 477: | Line 477: | ||
* POTE: ~2 = 1200.000, ~19/11 = 948.473 | * POTE: ~2 = 1200.000, ~19/11 = 948.473 | ||
{{Optimal ET sequence|legend=0| 19egh, 43, 62 }} | |||
Badness: 0.018952 | Badness: 0.018952 | ||
| Line 494: | Line 494: | ||
* POTE: ~55/39 = 600.000, ~3/2 = 697.005 | * POTE: ~55/39 = 600.000, ~3/2 = 697.005 | ||
{{Optimal ET sequence|legend=0| 12f, 38deefff, 50eff, 62, 136b }} | |||
Badness: 0.040668 | Badness: 0.040668 | ||
| Line 509: | Line 509: | ||
* POTE: ~17/12 = 600.000, ~3/2 = 696.927 | * POTE: ~17/12 = 600.000, ~3/2 = 696.927 | ||
{{Optimal ET sequence|legend=0| 12f, 50eff, 62, 136bg }} | |||
Badness: 0.031491 | Badness: 0.031491 | ||
| Line 524: | Line 524: | ||
* POTE: ~17/12 = 600.000, ~3/2 = 696.906 | * POTE: ~17/12 = 600.000, ~3/2 = 696.906 | ||
{{Optimal ET sequence|legend=0| 12f, 50eff, 62 }} | |||
Badness: 0.024206 | Badness: 0.024206 | ||
| Line 558: | Line 558: | ||
Algebraic generator: Cybozem; or else Radieubiz, the real root of 3''x''<sup>3</sup> + 6''x'' - 19. Unlike Cybozem, the recurrence for Radieubiz does not converge. | Algebraic generator: Cybozem; or else Radieubiz, the real root of 3''x''<sup>3</sup> + 6''x'' - 19. Unlike Cybozem, the recurrence for Radieubiz does not converge. | ||
{{Optimal ET sequence|legend=0| 12e, 19, 31, 81, 112b }} | |||
Badness: 0.021543 | Badness: 0.021543 | ||
| Line 587: | Line 587: | ||
* 13- and 15-odd-limit diamond tradeoff: ~3/2 = [691.202, 701.955] (1/2-comma to Pyth.) | * 13- and 15-odd-limit diamond tradeoff: ~3/2 = [691.202, 701.955] (1/2-comma to Pyth.) | ||
{{Optimal ET sequence|legend=0| 19, 31, 50, 81 }} | |||
Badness: 0.020883 | Badness: 0.020883 | ||
| Line 602: | Line 602: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.194 | * POTE: ~2 = 1200.000, ~3/2 = 696.194 | ||
{{Optimal ET sequence|legend=0| 19g, 31, 50, 81, 131bd }} | |||
Badness: 0.019953 | Badness: 0.019953 | ||
| Line 617: | Line 617: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.188 | * POTE: ~2 = 1200.000, ~3/2 = 696.188 | ||
{{Optimal ET sequence|legend=0| 19gh, 31, 50, 81 }} | |||
Badness: 0.017791 | Badness: 0.017791 | ||
| Line 632: | Line 632: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.408 | * POTE: ~2 = 1200.000, ~3/2 = 696.408 | ||
{{Optimal ET sequence|legend=0| 19, 31 }} | |||
Badness: 0.022870 | Badness: 0.022870 | ||
| Line 647: | Line 647: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.499 | * POTE: ~2 = 1200.000, ~3/2 = 696.499 | ||
{{Optimal ET sequence|legend=0| 12ef, 19, 31 }} | |||
Badness: 0.020488 | Badness: 0.020488 | ||
| Line 668: | Line 668: | ||
: eigenmonzo (unchanged-interval) basis: 2.11 | : eigenmonzo (unchanged-interval) basis: 2.11 | ||
{{Optimal ET sequence|legend=0| 12e, 19, 31f }} | |||
Badness: 0.027666 | Badness: 0.027666 | ||
| Line 683: | Line 683: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.414 | * POTE: ~2 = 1200.000, ~3/2 = 696.414 | ||
{{Optimal ET sequence|legend=0| 12e, 19 }} | |||
Badness: 0.026836 | Badness: 0.026836 | ||
| Line 698: | Line 698: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.497 | * POTE: ~2 = 1200.000, ~3/2 = 696.497 | ||
{{Optimal ET sequence|legend=0| 12e, 19 }} | |||
Badness: 0.023540 | Badness: 0.023540 | ||
| Line 713: | Line 713: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.415 | * POTE: ~2 = 1200.000, ~3/2 = 696.415 | ||
{{Optimal ET sequence|legend=0| 12e, 19g, 31fg }} | |||
Badness: 0.026094 | Badness: 0.026094 | ||
| Line 728: | Line 728: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.583 | * POTE: ~2 = 1200.000, ~3/2 = 696.583 | ||
{{Optimal ET sequence|legend=0| 12e, 19gh, 31fgh }} | |||
Badness: 0.023104 | Badness: 0.023104 | ||
| Line 751: | Line 751: | ||
* 11-odd-limit diamond tradeoff: ~3/2 = [682.502, 704.377] | * 11-odd-limit diamond tradeoff: ~3/2 = [682.502, 704.377] | ||
{{Optimal ET sequence|legend=0| 7d, 12, 19, 31e }} | |||
Badness: 0.021423 | Badness: 0.021423 | ||
| Line 768: | Line 768: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.146 | * POTE: ~2 = 1200.000, ~3/2 = 696.146 | ||
{{Optimal ET sequence|legend=0| 7df, 12f, 19, 31e }} | |||
Badness: 0.021182 | Badness: 0.021182 | ||
| Line 783: | Line 783: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.575 | * POTE: ~2 = 1200.000, ~3/2 = 696.575 | ||
{{Optimal ET sequence|legend=0| 12f, 19, 31e }} | |||
Badness: 0.022980 | Badness: 0.022980 | ||
| Line 798: | Line 798: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.706 | * POTE: ~2 = 1200.000, ~3/2 = 696.706 | ||
{{Optimal ET sequence|legend=0| 12f, 19, 31e }} | |||
Badness: 0.020293 | Badness: 0.020293 | ||
| Line 813: | Line 813: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.025 | * POTE: ~2 = 1200.000, ~3/2 = 696.025 | ||
{{Optimal ET sequence|legend=0| 7dfg, 12f, 19g }} | |||
Badness: 0.020171 | Badness: 0.020171 | ||
| Line 828: | Line 828: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.121 | * POTE: ~2 = 1200.000, ~3/2 = 696.121 | ||
{{Optimal ET sequence|legend=0| 7dfgh, 12f, 19gh }} | |||
Badness: 0.018045 | Badness: 0.018045 | ||
| Line 843: | Line 843: | ||
* POTE: ~2 = 1200.000, ~3/2 = 695.060 | * POTE: ~2 = 1200.000, ~3/2 = 695.060 | ||
{{Optimal ET sequence|legend=0| 7d, 12, 19 }} | |||
Badness: 0.024763 | Badness: 0.024763 | ||
| Line 858: | Line 858: | ||
* POTE: ~2 = 1200.000, ~3/2 = 695.858 | * POTE: ~2 = 1200.000, ~3/2 = 695.858 | ||
{{Optimal ET sequence|legend=0| 12, 19 }} | |||
Badness: 0.025535 | Badness: 0.025535 | ||
| Line 873: | Line 873: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.131 | * POTE: ~2 = 1200.000, ~3/2 = 696.131 | ||
{{Optimal ET sequence|legend=0| 12, 19 }} | |||
Badness: 0.022302 | Badness: 0.022302 | ||
| Line 888: | Line 888: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.044 | * POTE: ~2 = 1200.000, ~3/2 = 696.044 | ||
{{Optimal ET sequence|legend=0| 12, 19 }} | |||
Badness: 0.020139 | Badness: 0.020139 | ||
| Line 903: | Line 903: | ||
* POTE: ~2 = 1200.000, ~3/2 = 695.913 | * POTE: ~2 = 1200.000, ~3/2 = 695.913 | ||
{{Optimal ET sequence|legend=0| 12, 19 }} | |||
Badness: 0.018168 | Badness: 0.018168 | ||
| Line 918: | Line 918: | ||
* POTE: ~2 = 1200.000, ~3/2 = 695.750 | * POTE: ~2 = 1200.000, ~3/2 = 695.750 | ||
{{Optimal ET sequence|legend=0| 12, 19 }} | |||
Badness: 0.017069 | Badness: 0.017069 | ||
| Line 933: | Line 933: | ||
* POTE: ~2 = 1200.000, ~3/2 = 695.603 | * POTE: ~2 = 1200.000, ~3/2 = 695.603 | ||
{{Optimal ET sequence|legend=0| 12, 19 }} | |||
Badness: 0.016129 | Badness: 0.016129 | ||
| Line 948: | Line 948: | ||
* POTE: ~2 = 1200.000, ~3/2 = 695.696 | * POTE: ~2 = 1200.000, ~3/2 = 695.696 | ||
{{Optimal ET sequence|legend=0| 12, 19 }} | |||
Badness: 0.015356 | Badness: 0.015356 | ||
| Line 963: | Line 963: | ||
* POTE: ~2 = 1200.000, ~3/2 = 695.688 | * POTE: ~2 = 1200.000, ~3/2 = 695.688 | ||
{{Optimal ET sequence|legend=0| 12, 19 }} | |||
Badness: 0.013906 | Badness: 0.013906 | ||
| Line 978: | Line 978: | ||
* POTE: ~2 = 1200.000, ~3/2 = 695.676 | * POTE: ~2 = 1200.000, ~3/2 = 695.676 | ||
{{Optimal ET sequence|legend=0| 12, 19 }} | |||
Badness: 0.013818 | Badness: 0.013818 | ||
| Line 993: | Line 993: | ||
* POTE: ~2 = 1200.000, ~3/2 = 695.358 | * POTE: ~2 = 1200.000, ~3/2 = 695.358 | ||
{{Optimal ET sequence|legend=0| 7dg, 12, 19g }} | |||
Badness: 0.022099 | Badness: 0.022099 | ||
| Line 1,008: | Line 1,008: | ||
* POTE: ~2 = 1200.000, ~3/2 = 695.725 | * POTE: ~2 = 1200.000, ~3/2 = 695.725 | ||
{{Optimal ET sequence|legend=0| 7dgh, 12, 19gh }} | |||
Badness: 0.019904 | Badness: 0.019904 | ||
| Line 1,023: | Line 1,023: | ||
* POTE: ~2 = 1200.000, ~3/2 = 697.254 | * POTE: ~2 = 1200.000, ~3/2 = 697.254 | ||
{{Optimal ET sequence|legend=0| 7d, 12f, 19f }} | |||
Badness: 0.024243 | Badness: 0.024243 | ||
| Line 1,038: | Line 1,038: | ||
* POTE: ~2 = 1200.000, ~3/2 = 697.586 | * POTE: ~2 = 1200.000, ~3/2 = 697.586 | ||
{{Optimal ET sequence|legend=0| 7dg, 12f }} | |||
Badness: 0.021400 | Badness: 0.021400 | ||
| Line 1,053: | Line 1,053: | ||
* POTE: ~2 = 1200.000, ~3/2 = 698.118 | * POTE: ~2 = 1200.000, ~3/2 = 698.118 | ||
{{Optimal ET sequence|legend=0| 7dgh, 12f }} | |||
Badness: 0.018996 | Badness: 0.018996 | ||
| Line 1,070: | Line 1,070: | ||
* POTE: ~2 = 1200.000, ~3/2 = 694.689 | * POTE: ~2 = 1200.000, ~3/2 = 694.689 | ||
{{Optimal ET sequence|legend=0| 7d, 12e, 19e }} | |||
Badness: 0.031539 | Badness: 0.031539 | ||
| Line 1,085: | Line 1,085: | ||
* POTE: ~2 = 1200.000, ~3/2 = 694.764 | * POTE: ~2 = 1200.000, ~3/2 = 694.764 | ||
{{Optimal ET sequence|legend=0| 7d, 12e, 19e }} | |||
Badness: 0.026288 | Badness: 0.026288 | ||
| Line 1,104: | Line 1,104: | ||
* POTE: ~63/44 = 600.000, ~3/2 = 696.016 | * POTE: ~63/44 = 600.000, ~3/2 = 696.016 | ||
{{Optimal ET sequence|legend=0| 12, 26de, 38d, 50 }} | |||
Badness: 0.038122 | Badness: 0.038122 | ||
| Line 1,119: | Line 1,119: | ||
* POTE: ~55/39 = 600.000, ~3/2 = 695.836 | * POTE: ~55/39 = 600.000, ~3/2 = 695.836 | ||
{{Optimal ET sequence|legend=0| 12f, 26deff, 38df, 50 }} | |||
Badness: 0.028817 | Badness: 0.028817 | ||
| Line 1,134: | Line 1,134: | ||
* POTE: ~17/12 = 600.000, ~3/2 = 695.783 | * POTE: ~17/12 = 600.000, ~3/2 = 695.783 | ||
{{Optimal ET sequence|legend=0| 12f, 38df, 50 }} | |||
Badness: 0.022666 | Badness: 0.022666 | ||
| Line 1,149: | Line 1,149: | ||
* POTE: ~17/12 = 600.000, ~3/2 = 695.752 | * POTE: ~17/12 = 600.000, ~3/2 = 695.752 | ||
{{Optimal ET sequence|legend=0| 12f, 26deff, 38df, 50 }} | |||
Badness: 0.017785 | Badness: 0.017785 | ||
| Line 1,166: | Line 1,166: | ||
* POTE: ~2 = 1200.000, ~11/10 = 167.805 | * POTE: ~2 = 1200.000, ~11/10 = 167.805 | ||
{{Optimal ET sequence|legend=0| 7d, 36d, 43, 50, 93 }} | |||
Badness: 0.050729 | Badness: 0.050729 | ||
| Line 1,181: | Line 1,181: | ||
* POTE: ~2 = 1200.000, ~11/10 = 167.790 | * POTE: ~2 = 1200.000, ~11/10 = 167.790 | ||
{{Optimal ET sequence|legend=0| 7d, 43, 50, 93 }} | |||
Badness: 0.035445 | Badness: 0.035445 | ||
| Line 1,196: | Line 1,196: | ||
* POTE: ~2 = 1200.000, ~11/10 = 167.786 | * POTE: ~2 = 1200.000, ~11/10 = 167.786 | ||
{{Optimal ET sequence|legend=0| 7dg, 43, 50, 93 }} | |||
Badness: 0.025221 | Badness: 0.025221 | ||
| Line 1,253: | Line 1,253: | ||
* 11-odd-limit diamond tradeoff: ~3/2 = [682.502, 701.955] | * 11-odd-limit diamond tradeoff: ~3/2 = [682.502, 701.955] | ||
{{Optimal ET sequence|legend=0| 7, 19, 26, 45, 71bc, 116bcde }} | |||
Badness: 0.033839 | Badness: 0.033839 | ||
| Line 1,272: | Line 1,272: | ||
* 13- and 15-odd-limit diamond tradeoff: ~3/2 = [682.502, 701.955] | * 13- and 15-odd-limit diamond tradeoff: ~3/2 = [682.502, 701.955] | ||
{{Optimal ET sequence|legend=0| 7, 19, 26, 45f, 71bcf, 116bcdef }} | |||
Badness: 0.022260 | Badness: 0.022260 | ||
| Line 1,310: | Line 1,310: | ||
* [[CWE]]: ~2 = 1200.000, ~3/2 = 692.042 | * [[CWE]]: ~2 = 1200.000, ~3/2 = 692.042 | ||
{{Optimal ET sequence|legend=0| 7d, 19d, 26, 59bcd, 85bccd }} | |||
; Music | ; Music | ||
| Line 1,361: | Line 1,361: | ||
* POTE: ~2 = 1200.000, ~3/2 = 703.254 | * POTE: ~2 = 1200.000, ~3/2 = 703.254 | ||
{{Optimal ET sequence|legend=0| 5, 12, 17c, 29cde }} | |||
Badness: 0.024180 | Badness: 0.024180 | ||
| Line 1,380: | Line 1,380: | ||
* 13- and 15-odd-limit diamond tradeoff: ~3/2 = [691.202, 715.587] | * 13- and 15-odd-limit diamond tradeoff: ~3/2 = [691.202, 715.587] | ||
{{Optimal ET sequence|legend=0|12f, 17c, 29cdef }} | |||
Badness: 0.024108 | Badness: 0.024108 | ||
| Line 1,395: | Line 1,395: | ||
* POTE: ~2 = 1200.000, ~3/2 = 704.905 | * POTE: ~2 = 1200.000, ~3/2 = 704.905 | ||
{{Optimal ET sequence|legend=0| 5, 12, 17c, 46cde }} | |||
Badness: 0.027295 | Badness: 0.027295 | ||
| Line 1,410: | Line 1,410: | ||
* POTE: ~2 = 1200.000, ~3/2 = 698.776 | * POTE: ~2 = 1200.000, ~3/2 = 698.776 | ||
{{Optimal ET sequence|legend=0| 5e, 7, 12, 19d, 43de }} | |||
Badness: 0.021978 | Badness: 0.021978 | ||
| Line 1,425: | Line 1,425: | ||
* POTE: ~2 = 1200.000, ~3/2 = 695.762 | * POTE: ~2 = 1200.000, ~3/2 = 695.762 | ||
{{Optimal ET sequence|legend=0| 5ef, 7, 12, 19d, 31def }} | |||
Badness: 0.027039 | Badness: 0.027039 | ||
| Line 1,440: | Line 1,440: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.115 | * POTE: ~2 = 1200.000, ~3/2 = 696.115 | ||
{{Optimal ET sequence|legend=0| 5ef, 7, 12, 19d, 31def }} | |||
Badness: 0.024539 | Badness: 0.024539 | ||
| Line 1,455: | Line 1,455: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.217 | * POTE: ~2 = 1200.000, ~3/2 = 696.217 | ||
{{Optimal ET sequence|legend=0| 5ef, 7, 12, 19d, 31def }} | |||
Badness: 0.020398 | Badness: 0.020398 | ||
| Line 1,470: | Line 1,470: | ||
* POTE: ~2 = 1200.000, ~3/2 = 698.544 | * POTE: ~2 = 1200.000, ~3/2 = 698.544 | ||
{{Optimal ET sequence|legend=0| 5e, 7, 12f, 19df }} | |||
Badness: 0.018289 | Badness: 0.018289 | ||
| Line 1,485: | Line 1,485: | ||
* POTE: ~2 = 1200.000, ~3/2 = 705.004 | * POTE: ~2 = 1200.000, ~3/2 = 705.004 | ||
{{Optimal ET sequence|legend=0| 5e, 12e, 17c, 46cd }} | |||
Badness: 0.036562 | Badness: 0.036562 | ||
| Line 1,500: | Line 1,500: | ||
* POTE: ~2 = 1200.000, ~3/2 = 705.496 | * POTE: ~2 = 1200.000, ~3/2 = 705.496 | ||
{{Optimal ET sequence|legend=0| 5e, 12e, 17c }} | |||
Badness: 0.027435 | Badness: 0.027435 | ||
| Line 1,515: | Line 1,515: | ||
* POTE: ~2 = 1200.000, ~3/2 = 698.491 | * POTE: ~2 = 1200.000, ~3/2 = 698.491 | ||
{{Optimal ET sequence|legend=0| 5, 7, 12e }} | |||
Badness: 0.026141 | Badness: 0.026141 | ||
| Line 1,530: | Line 1,530: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.743 | * POTE: ~2 = 1200.000, ~3/2 = 696.743 | ||
{{Optimal ET sequence|legend=0| 5, 7, 12ef, 19def }} | |||
Badness: 0.023300 | Badness: 0.023300 | ||
| Line 1,545: | Line 1,545: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.978 | * POTE: ~2 = 1200.000, ~3/2 = 696.978 | ||
{{Optimal ET sequence|legend=0| 5, 7, 12ef, 19def }} | |||
Badness: 0.024535 | Badness: 0.024535 | ||
| Line 1,560: | Line 1,560: | ||
* POTE: ~2 = 1200.000, ~3/2 = 697.068 | * POTE: ~2 = 1200.000, ~3/2 = 697.068 | ||
{{Optimal ET sequence|legend=0| 5, 7, 12ef, 19def }} | |||
Badness: 0.021098 | Badness: 0.021098 | ||
| Line 1,596: | Line 1,596: | ||
* POTE: ~2 = 1200.000, ~3/2 = 696.615 | * POTE: ~2 = 1200.000, ~3/2 = 696.615 | ||
{{Optimal ET sequence|legend=0| 5, 7d, 12de }} | |||
Badness: 0.025167 | Badness: 0.025167 | ||
| Line 1,628: | Line 1,628: | ||
* POTE: ~2 = 1200.000, ~3/2 = 705.096 | * POTE: ~2 = 1200.000, ~3/2 = 705.096 | ||
{{Optimal ET sequence|legend=0| 5de, 12de, 17c, 29c }} | |||
Badness: 0.063262 | Badness: 0.063262 | ||
| Line 1,643: | Line 1,643: | ||
* POTE: ~2 = 1200.000, ~3/2 = 705.094 | * POTE: ~2 = 1200.000, ~3/2 = 705.094 | ||
{{Optimal ET sequence|legend=0| 5de, 12de, 17c, 29c }} | |||
Badness: 0.040324 | Badness: 0.040324 | ||
| Line 1,708: | Line 1,708: | ||
* 11-odd-limit diamond tradeoff: ~11/9 = [344.999, 350.978] | * 11-odd-limit diamond tradeoff: ~11/9 = [344.999, 350.978] | ||
{{Optimal ET sequence|legend=0| 7, 24, 31 }} | |||
Badness: 0.026064 | Badness: 0.026064 | ||
| Line 1,725: | Line 1,725: | ||
* POTE: ~2 = 1200.000, ~11/9 = 348.558 | * POTE: ~2 = 1200.000, ~11/9 = 348.558 | ||
{{Optimal ET sequence|legend=0| 7, 24, 31 }} | |||
Badness: 0.023388 | Badness: 0.023388 | ||
| Line 1,742: | Line 1,742: | ||
* POTE: ~2 = 1200.000, ~11/9 = 348.736 | * POTE: ~2 = 1200.000, ~11/9 = 348.736 | ||
{{Optimal ET sequence|legend=0| 7, 24, 31 }} | |||
Badness: 0.020576 | Badness: 0.020576 | ||
| Line 1,759: | Line 1,759: | ||
* POTE: ~2 = 1200.000, ~11/9 = 348.810 | * POTE: ~2 = 1200.000, ~11/9 = 348.810 | ||
{{Optimal ET sequence|legend=0| 7, 24, 31, 55 }} | |||
Badness: 0.017302 | Badness: 0.017302 | ||
| Line 1,797: | Line 1,797: | ||
* POTE: ~2 = 1200.000, ~11/9 = 350.565 | * POTE: ~2 = 1200.000, ~11/9 = 350.565 | ||
{{Optimal ET sequence|legend=0| 7d, 17c, 24 }} | |||
Badness: 0.036207 | Badness: 0.036207 | ||
| Line 1,814: | Line 1,814: | ||
* POTE: ~2 = 1200.000, ~11/9 = 350.745 | * POTE: ~2 = 1200.000, ~11/9 = 350.745 | ||
{{Optimal ET sequence|legend=0| 7d, 17c, 24, 41c }} | |||
Badness: 0.028738 | Badness: 0.028738 | ||
| Line 1,865: | Line 1,865: | ||
* POTE: ~2 = 1200.000, ~10/7 = 633.073 | * POTE: ~2 = 1200.000, ~10/7 = 633.073 | ||
{{Optimal ET sequence|legend=0| 17c, 19, 36 }} | |||
Badness: 0.040721 | Badness: 0.040721 | ||
| Line 1,880: | Line 1,880: | ||
* POTE: ~2 = 1200.000, ~10/7 = 633.042 | * POTE: ~2 = 1200.000, ~10/7 = 633.042 | ||
{{Optimal ET sequence|legend=0| 17c, 19, 36, 91ceef }} | |||
Badness: 0.027304 | Badness: 0.027304 | ||
| Line 1,897: | Line 1,897: | ||
* POTE: ~2 = 1200.000, ~10/7 = 633.061 | * POTE: ~2 = 1200.000, ~10/7 = 633.061 | ||
{{Optimal ET sequence|legend=0| 17c, 19e, 36e }} | |||
Badness: 0.041592 | Badness: 0.041592 | ||
| Line 1,912: | Line 1,912: | ||
* POTE: ~2 = 1200.000, ~10/7 = 632.991 | * POTE: ~2 = 1200.000, ~10/7 = 632.991 | ||
{{Optimal ET sequence|legend=0| 17c, 19e, 36e }} | |||
Badness: 0.026922 | Badness: 0.026922 | ||
| Line 1,927: | Line 1,927: | ||
* POTE: ~2 = 1200.000, ~10/7 = 631.370 | * POTE: ~2 = 1200.000, ~10/7 = 631.370 | ||
{{Optimal ET sequence|legend=0| 17cee, 19 }} | |||
Badness: 0.054829 | Badness: 0.054829 | ||
| Line 1,942: | Line 1,942: | ||
* POTE: ~2 = 1200.000, ~10/7 = 631.221 | * POTE: ~2 = 1200.000, ~10/7 = 631.221 | ||
{{Optimal ET sequence|legend=0| 17cee, 19 }} | |||
Badness: 0.036144 | Badness: 0.036144 | ||
| Line 1,976: | Line 1,976: | ||
* CWE: ~2 = 1200.000, ~11/10 = 167.338 | * CWE: ~2 = 1200.000, ~11/10 = 167.338 | ||
{{Optimal ET sequence|legend=0| 7, 36, 43 }} | |||
Badness: 0.0576 | Badness: 0.0576 | ||
| Line 1,991: | Line 1,991: | ||
* CWE: ~2 = 1200.000, ~11/10 = 167.396 | * CWE: ~2 = 1200.000, ~11/10 = 167.396 | ||
{{Optimal ET sequence|legend=0| 7, 36, 43 }} | |||
Badness: 0.0368 | Badness: 0.0368 | ||
| Line 2,063: | Line 2,063: | ||
* POTE: ~2 = 1200.000, ~9/7 = 425.957 | * POTE: ~2 = 1200.000, ~9/7 = 425.957 | ||
{{Optimal ET sequence|legend=0| 14c, 17c, 31, 130bee, 169beee }} | |||
Badness: 0.021636 | Badness: 0.021636 | ||
| Line 2,078: | Line 2,078: | ||
* POTE: ~2 = 1200.000, ~9/7 = 425.550 | * POTE: ~2 = 1200.000, ~9/7 = 425.550 | ||
{{Optimal ET sequence|legend=0| 14c, 17c, 31, 79cf }} | |||
Badness: 0.025514 | Badness: 0.025514 | ||
| Line 2,093: | Line 2,093: | ||
* POTE: ~2 = 1200.000, ~9/7 = 425.752 | * POTE: ~2 = 1200.000, ~9/7 = 425.752 | ||
{{Optimal ET sequence|legend=0| 14cf, 17c, 31f }} | |||
Badness: 0.026877 | Badness: 0.026877 | ||
| Line 2,108: | Line 2,108: | ||
* POTE: ~2 = 1200.000, ~9/7 = 426.276 | * POTE: ~2 = 1200.000, ~9/7 = 426.276 | ||
{{Optimal ET sequence|legend=0| 14cf, 31, 45ef, 76e }} | |||
Badness: 0.024522 | Badness: 0.024522 | ||
| Line 2,123: | Line 2,123: | ||
* POTE: ~2 = 1200.000, ~9/7 = 426.187 | * POTE: ~2 = 1200.000, ~9/7 = 426.187 | ||
{{Optimal ET sequence|legend=0| 14cf, 31 }} | |||
Badness: 0.022573 | Badness: 0.022573 | ||
| Line 2,138: | Line 2,138: | ||
* POTE: ~2 = 1200.000, ~9/7 = 426.225 | * POTE: ~2 = 1200.000, ~9/7 = 426.225 | ||
{{Optimal ET sequence|legend=0| 14cf, 31 }} | |||
Badness: 0.018839 | Badness: 0.018839 | ||
| Line 2,155: | Line 2,155: | ||
* POTE: ~2 = 1200.000, ~9/7 = 425.993 | * POTE: ~2 = 1200.000, ~9/7 = 425.993 | ||
{{Optimal ET sequence|legend=0| 31, 107b, 138b, 169be, 200be }} | |||
Badness: 0.056826 | Badness: 0.056826 | ||
| Line 2,195: | Line 2,195: | ||
* POTE: ~2 = 1200.000, ~12/11 = 139.428 | * POTE: ~2 = 1200.000, ~12/11 = 139.428 | ||
{{Optimal ET sequence|legend=0| 17c, 26, 43 }} | |||
Badness: 0.047914 | Badness: 0.047914 | ||
| Line 2,210: | Line 2,210: | ||
* POTE: ~2 = 1200.000, ~13/12 = 139.387 | * POTE: ~2 = 1200.000, ~13/12 = 139.387 | ||
{{Optimal ET sequence|legend=0| 17c, 26, 43 }} | |||
Badness: 0.029285 | Badness: 0.029285 | ||
| Line 2,225: | Line 2,225: | ||
* POTE: ~2 = 1200.000, ~13/12 = 139.362 | * POTE: ~2 = 1200.000, ~13/12 = 139.362 | ||
{{Optimal ET sequence|legend=0| 17cg, 26, 43 }} | |||
Badness: 0.020878 | Badness: 0.020878 | ||
| Line 2,240: | Line 2,240: | ||
* POTE: ~2 = 1200.000, ~13/12 = 139.313 | * POTE: ~2 = 1200.000, ~13/12 = 139.313 | ||
{{Optimal ET sequence|legend=0| 17cgh, 26, 43, 69 }} | |||
Badness: 0.018229 | Badness: 0.018229 | ||
| Line 2,276: | Line 2,276: | ||
* POTE: ~2 = 1200.000, ~7/5 = 580.647 | * POTE: ~2 = 1200.000, ~7/5 = 580.647 | ||
{{Optimal ET sequence|legend=0| 29cde, 31 }} | |||
Badness: 0.042869 | Badness: 0.042869 | ||
| Line 2,330: | Line 2,330: | ||
* 11-odd-limit diamond tradeoff: ~3/2 = [682.458, 701.955] | * 11-odd-limit diamond tradeoff: ~3/2 = [682.458, 701.955] | ||
{{Optimal ET sequence|legend=0| 12, 26 }} | |||
Badness: 0.023124 | Badness: 0.023124 | ||
| Line 2,349: | Line 2,349: | ||
* 13- and 15-odd-limit diamond tradeoff: ~3/2 = [682.458, 701.955] | * 13- and 15-odd-limit diamond tradeoff: ~3/2 = [682.458, 701.955] | ||
{{Optimal ET sequence|legend=0| 12f, 14cf, 26 }} | |||
Badness: 0.021565 | Badness: 0.021565 | ||
| Line 2,364: | Line 2,364: | ||
* POTE: ~7/5 = 600.000, ~3/2 = 692.487 (~21/20 = 92.487) | * POTE: ~7/5 = 600.000, ~3/2 = 692.487 (~21/20 = 92.487) | ||
{{Optimal ET sequence|legend=0| 12f, 14cf, 26 }} | |||
Badness: 0.018358 | Badness: 0.018358 | ||
| Line 2,379: | Line 2,379: | ||
* POTE: ~7/5 = 600.000, ~3/2 = 692.299 (~21/20 = 92.299) | * POTE: ~7/5 = 600.000, ~3/2 = 692.299 (~21/20 = 92.299) | ||
{{Optimal ET sequence|legend=0| 12f, 14cf, 26 }} | |||
Badness: 0.015118 | Badness: 0.015118 | ||
| Line 2,394: | Line 2,394: | ||
* POTE: ~7/5 = 600.000, ~3/2 = 694.121 (~21/20 = 94.121) | * POTE: ~7/5 = 600.000, ~3/2 = 694.121 (~21/20 = 94.121) | ||
{{Optimal ET sequence|legend=0| 10cdeef, 12f }} | |||
Badness: 0.026542 | Badness: 0.026542 | ||
| Line 2,409: | Line 2,409: | ||
* POTE: ~7/5 = 600.000, ~3/2 = 690.548 (~21/20 = 90.548) | * POTE: ~7/5 = 600.000, ~3/2 = 690.548 (~21/20 = 90.548) | ||
{{Optimal ET sequence|legend=0| 12e, 14c, 26e, 40cee }} | |||
Badness: 0.038577 | Badness: 0.038577 | ||
| Line 2,424: | Line 2,424: | ||
* POTE: ~7/5 = 600.000, ~3/2 = 699.001 (~21/20 = 99.001) | * POTE: ~7/5 = 600.000, ~3/2 = 699.001 (~21/20 = 99.001) | ||
{{Optimal ET sequence|legend=0| 10cd, 12 }} | |||
Badness: 0.043062 | Badness: 0.043062 | ||
| Line 2,445: | Line 2,445: | ||
* POTE: ~7/5 = 600.000, ~11/8 = 552.530 (~33/32 = 47.470) | * POTE: ~7/5 = 600.000, ~11/8 = 552.530 (~33/32 = 47.470) | ||
{{Optimal ET sequence|legend=0| 24d, 26, 50d }} | |||
Badness: 0.070689 | Badness: 0.070689 | ||
| Line 2,460: | Line 2,460: | ||
* POTE: ~7/5 = 600.000, ~11/8 = 552.532 (~33/32 = 47.468) | * POTE: ~7/5 = 600.000, ~11/8 = 552.532 (~33/32 = 47.468) | ||
{{Optimal ET sequence|legend=0| 24d, 26, 50d }} | |||
Badness: 0.040047 | Badness: 0.040047 | ||
| Line 2,475: | Line 2,475: | ||
* POTE: ~7/5 = 600.000, ~11/8 = 552.656 (~34/33 = 47.344) | * POTE: ~7/5 = 600.000, ~11/8 = 552.656 (~34/33 = 47.344) | ||
{{Optimal ET sequence|legend=0| 24d, 26 }} | |||
Badness: 0.029499 | Badness: 0.029499 | ||
| Line 2,490: | Line 2,490: | ||
* POTE: ~7/5 = 600.000, ~11/8 = 552.638 (~34/33 = 47.362) | * POTE: ~7/5 = 600.000, ~11/8 = 552.638 (~34/33 = 47.362) | ||
{{Optimal ET sequence|legend=0| 24d, 26 }} | |||
Badness: 0.023133 | Badness: 0.023133 | ||
| Line 2,528: | Line 2,528: | ||
* POTE: ~99/70 = 600.000, ~11/8 = 552.093 (~36/35 = 47.907) | * POTE: ~99/70 = 600.000, ~11/8 = 552.093 (~36/35 = 47.907) | ||
{{Optimal ET sequence|legend=0| 24, 26, 50 }} | |||
Badness: 0.052099 | Badness: 0.052099 | ||
| Line 2,543: | Line 2,543: | ||
* POTE: ~99/70 = 600.000, ~11/8 = 552.150 (~36/35 = 47.850) | * POTE: ~99/70 = 600.000, ~11/8 = 552.150 (~36/35 = 47.850) | ||
{{Optimal ET sequence|legend=0| 24, 26, 50 }} | |||
Badness: 0.031039 | Badness: 0.031039 | ||
| Line 2,558: | Line 2,558: | ||
* POTE: ~17/12 = 600.000, ~11/8 = 552.158 (~36/35 = 47.842) | * POTE: ~17/12 = 600.000, ~11/8 = 552.158 (~36/35 = 47.842) | ||
{{Optimal ET sequence|legend=0| 24, 26, 50 }} | |||
Badness: 0.021260 | Badness: 0.021260 | ||
| Line 2,573: | Line 2,573: | ||
* POTE: ~17/12 = 600.000, ~11/8 = 552.120 (~36/35 = 47.880) | * POTE: ~17/12 = 600.000, ~11/8 = 552.120 (~36/35 = 47.880) | ||
{{Optimal ET sequence|legend=0| 24, 26, 50 }} | |||
Badness: 0.016548 | Badness: 0.016548 | ||
| Line 2,609: | Line 2,609: | ||
* POTE: ~363/256 = 600.000, ~77/64 = 324.238 (~7/6 = 275.762) | * POTE: ~363/256 = 600.000, ~77/64 = 324.238 (~7/6 = 275.762) | ||
{{Optimal ET sequence|legend=0| 26, 48c, 74 }} | |||
Badness: 0.101499 | Badness: 0.101499 | ||
| Line 2,624: | Line 2,624: | ||
* POTE: ~55/39 = 600.000, ~77/64 = 324.226 (~7/6 = 275.774) | * POTE: ~55/39 = 600.000, ~77/64 = 324.226 (~7/6 = 275.774) | ||
{{Optimal ET sequence|legend=0| 26, 48c, 74 }} | |||
Badness: 0.053482 | Badness: 0.053482 | ||
| Line 2,662: | Line 2,662: | ||
* POTE: ~8/7 = 240.000, ~3/2 = 696.536 (~56/55 = 23.464) | * POTE: ~8/7 = 240.000, ~3/2 = 696.536 (~56/55 = 23.464) | ||
{{Optimal ET sequence|legend=0| 5, 45, 50 }} | |||
Badness: 0.070378 | Badness: 0.070378 | ||
| Line 2,677: | Line 2,677: | ||
* POTE: ~8/7 = 240.000, ~3/2 = 696.162 (~91/90 = 23.838) | * POTE: ~8/7 = 240.000, ~3/2 = 696.162 (~91/90 = 23.838) | ||
{{Optimal ET sequence|legend=0| 5, 45f, 50 }} | |||
Badness: 0.048829 | Badness: 0.048829 | ||
| Line 2,733: | Line 2,733: | ||
* CTE: ~2 = 1200.000, ~3/2 = 693.087 | * CTE: ~2 = 1200.000, ~3/2 = 693.087 | ||
{{Optimal ET sequence|legend=0| 7, 12, 19, 26, 45f }} | |||
Badness: 0.0141 | Badness: 0.0141 | ||
| Line 2,767: | Line 2,767: | ||
* CWE: ~2 = 1200.000, ~3/2 = 690.183 | * CWE: ~2 = 1200.000, ~3/2 = 690.183 | ||
{{Optimal ET sequence|legend=0| 7, 19eff, 26eff, 33ceeff, 40ceeff }} | |||
Badness: 0.0353 | Badness: 0.0353 | ||