Negri extensions: Difference between revisions
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Simplify the ratios in the tuning spectra |
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| Line 195: | Line 195: | ||
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! Edo<br>generator | ! Edo<br>generator | ||
! [[Eigenmonzo|Eigenmonzo<br>(unchanged-interval]] | ! [[Eigenmonzo|Eigenmonzo<br>(unchanged-interval)]] | ||
! Generator (¢) | ! Generator (¢) | ||
! Comments | ! Comments | ||
|- | |- | ||
| | | | ||
| | | 15/8 | ||
| 111.731 | | 111.731 | ||
| | | | ||
|- | |- | ||
| | | | ||
| | | 7/4 | ||
| 115.587 | | 115.587 | ||
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| Line 220: | Line 220: | ||
|- | |- | ||
| | | | ||
| | | 13/8 | ||
| 119.824 | | 119.824 | ||
| | | | ||
| Line 250: | Line 250: | ||
|- | |- | ||
| | | | ||
| | | 3/2 | ||
| 124.511 | | 124.511 | ||
| 7- and 9-odd-limit minimax | | 7- and 9-odd-limit minimax | ||
| Line 260: | Line 260: | ||
|- | |- | ||
| | | | ||
| | | {{monzo| 0 -13 15 -5 }} | ||
| 125.469 | | 125.469 | ||
| 7-odd-limit least squares | | 7-odd-limit least squares | ||
|- | |- | ||
| | | | ||
| {{ | | {{monzo| 0 63 -26 -1 }} | ||
| 125.579 | | 125.579 | ||
| 9-odd-limit least squares | | 9-odd-limit least squares | ||
|- | |- | ||
| | | | ||
| | | 9/5 | ||
| 125.673 | | 125.673 | ||
| | | | ||
|- | |- | ||
| | | | ||
| | | {{monzo| 6 11 -10 }} | ||
| 126.238 | | 126.238 | ||
| 5-odd-limit least squares | | 5-odd-limit least squares | ||
| Line 285: | Line 285: | ||
|- | |- | ||
| | | | ||
| | | 5/3 | ||
| 126.337 | | 126.337 | ||
| 5-odd-limit minimax | | 5-odd-limit minimax | ||
|- | |- | ||
| | | | ||
| {{ | | {{monzo| 0 79 -40 -5 16 2 }} | ||
| 126.445 | | 126.445 | ||
| 13-odd-limit least squares | | 13-odd-limit least squares | ||
|- | |- | ||
| | | | ||
| {{ | | {{monzo| 0 34 -17 -2 7 }} | ||
| 126.511 | | 126.511 | ||
| 11-odd-limit least squares | | 11-odd-limit least squares | ||
|- | |- | ||
| | | | ||
| {{ | | {{monzo| 0 73 -46 -4 20 4 }} | ||
| 126.619 | | 126.619 | ||
| 15-odd-limit least squares | | 15-odd-limit least squares | ||
|- | |- | ||
| | | | ||
| | | 13/9 | ||
| 127.324 | | 127.324 | ||
| | | | ||
| Line 320: | Line 320: | ||
|- | |- | ||
| | | | ||
| | | 13/7 | ||
| 128.298 | | 128.298 | ||
| | | | ||
| Line 342: | Line 342: | ||
| 11/8 | | 11/8 | ||
| 129.736 | | 129.736 | ||
| | |||
|- | |||
| 1\9 | |||
| | |||
| 133.333 | |||
| | | | ||
|- | |- | ||
| Line 360: | Line 365: | ||
|- | |- | ||
| | | | ||
| | | 11/7 | ||
| 139.169 | | 139.169 | ||
| | | | ||
| Line 370: | Line 375: | ||
|- | |- | ||
| | | | ||
| | | 11/6 | ||
| 150.637 | | 150.637 | ||
| | | | ||
| Line 385: | Line 390: | ||
|- | |- | ||
| | | | ||
| | | 15/8 | ||
| 111.731 | | 111.731 | ||
| | | | ||
|- | |- | ||
| | | | ||
| | | 7/4 | ||
| 115.587 | | 115.587 | ||
| | | | ||
| Line 400: | Line 405: | ||
|- | |- | ||
| | | | ||
| | | 13/8 | ||
| 119.824 | | 119.824 | ||
| | | | ||
| Line 420: | Line 425: | ||
|- | |- | ||
| | | | ||
| | | 11/7 | ||
| 123.906 | | 123.906 | ||
| | | | ||
| Line 450: | Line 455: | ||
|- | |- | ||
| | | | ||
| | | 3/2 | ||
| 124.511 | | 124.511 | ||
| 7-, 9-, 11-, 13- and 15-odd-limit minimax | | 7-, 9-, 11-, 13- and 15-odd-limit minimax | ||
|- | |- | ||
| | | | ||
| {{ | | {{monzo| 0 -149 8 -15 113 -23 }} | ||
| 124.700 | | 124.700 | ||
| 15-odd-limit least squares | | 15-odd-limit least squares | ||
|- | |- | ||
| | | | ||
| {{ | | {{monzo| 0 -136 21 -14 98 -21 }} | ||
| 124.764 | | 124.764 | ||
| 13-odd-limit least squares | | 13-odd-limit least squares | ||
|- | |- | ||
| | | | ||
| {{ | | {{monzo| 0 -125 15 -15 81 }} | ||
| 124.854 | | 124.854 | ||
| 11-odd-limit least squares | | 11-odd-limit least squares | ||
| Line 475: | Line 480: | ||
|- | |- | ||
| | | | ||
| | | 11/6 | ||
| 124.965 | | 124.965 | ||
| | | | ||
| Line 490: | Line 495: | ||
|- | |- | ||
| | | | ||
| | | {{monzo| 0 -13 15 -5 }} | ||
| 125.469 | | 125.469 | ||
| 7-odd-limit least squares | | 7-odd-limit least squares | ||
|- | |- | ||
| | | | ||
| {{ | | {{monzo| 0 63 -26 -1 }} | ||
| 125.579 | | 125.579 | ||
| 9-odd-limit least squares | | 9-odd-limit least squares | ||
|- | |- | ||
| | | | ||
| | | 9/5 | ||
| 125.673 | | 125.673 | ||
| | | | ||
|- | |- | ||
| | | | ||
| | | {{monzo| 6 11 -10 }} | ||
| 126.238 | | 126.238 | ||
| 5-odd-limit least squares | | 5-odd-limit least squares | ||
| Line 515: | Line 520: | ||
|- | |- | ||
| | | | ||
| | | 5/3 | ||
| 126.337 | | 126.337 | ||
| 5-odd-limit minimax | | 5-odd-limit minimax | ||
|- | |- | ||
| | | | ||
| | | 13/9 | ||
| 127.324 | | 127.324 | ||
| | | | ||
| Line 535: | Line 540: | ||
|- | |- | ||
| | | | ||
| | | 13/7 | ||
| 128.298 | | 128.298 | ||
| | | | ||
| Line 570: | Line 575: | ||
|- | |- | ||
| | | | ||
| | | 15/8 | ||
| 111.731 | | 111.731 | ||
| | | | ||
|- | |- | ||
| | | | ||
| | | 7/4 | ||
| 115.587 | | 115.587 | ||
| | | | ||
| Line 585: | Line 590: | ||
|- | |- | ||
| | | | ||
| | | 13/8 | ||
| 119.824 | | 119.824 | ||
| | | | ||
| Line 615: | Line 620: | ||
|- | |- | ||
| | | | ||
| | | 3/2 | ||
| 124.511 | | 124.511 | ||
| 7- and 9-odd-limit minimax | | 7- and 9-odd-limit minimax | ||
| Line 625: | Line 630: | ||
|- | |- | ||
| | | | ||
| | | {{monzo| 0 -13 15 -5 }} | ||
| 125.469 | | 125.469 | ||
| 7-odd-limit least squares | | 7-odd-limit least squares | ||
|- | |- | ||
| | | | ||
| {{ | | {{monzo| 0 63 -26 -1 }} | ||
| 125.579 | | 125.579 | ||
| 9-odd-limit least squares | | 9-odd-limit least squares | ||
|- | |- | ||
| | | | ||
| | | 9/5 | ||
| 125.673 | | 125.673 | ||
| | | | ||
|- | |- | ||
| | | | ||
| | | {{monzo| 6 11 -10 }} | ||
| 126.238 | | 126.238 | ||
| 5-odd-limit least squares | | 5-odd-limit least squares | ||
| Line 650: | Line 655: | ||
|- | |- | ||
| | | | ||
| | | 5/3 | ||
| 126.337 | | 126.337 | ||
| 5-odd-limit minimax | | 5-odd-limit minimax | ||
|- | |- | ||
| | | | ||
| | | 13/9 | ||
| 127.324 | | 127.324 | ||
| | | | ||
| Line 665: | Line 670: | ||
|- | |- | ||
| | | | ||
| {{ | | {{monzo| 0 106 -31 4 -38 11 }} | ||
| 127.602 | | 127.602 | ||
| 13-odd-limit least squares | | 13-odd-limit least squares | ||
| Line 675: | Line 680: | ||
|- | |- | ||
| | | | ||
| {{ | | {{monzo| 0 -95 25 -5 31 }} | ||
| 127.706 | | 127.706 | ||
| 11 limit least squares | | 11 limit least squares | ||
|- | |- | ||
| | | | ||
| {{ | | {{monzo| 0 109 -28 5 -43 13 }} | ||
| 127.718 | | 127.718 | ||
| 15-odd-limit least squares | | 15-odd-limit least squares | ||
|- | |- | ||
| | | | ||
| | | 13/7 | ||
| 128.298 | | 128.298 | ||
| | | | ||
| Line 710: | Line 715: | ||
|- | |- | ||
| | | | ||
| | | 11/7 | ||
| 130.415 | | 130.415 | ||
| | | | ||
|- | |- | ||
| | | | ||
| | | 11/6 | ||
| 131.170 | | 131.170 | ||
| | | | ||
| Line 755: | Line 760: | ||
|- | |- | ||
| | | | ||
| | | 15/8 | ||
| 111.731 | | 111.731 | ||
| | | | ||
|- | |- | ||
| | | | ||
| | | 7/4 | ||
| 115.587 | | 115.587 | ||
| | | | ||
| Line 770: | Line 775: | ||
|- | |- | ||
| | | | ||
| | | 13/8 | ||
| 119.824 | | 119.824 | ||
| | | | ||
| Line 785: | Line 790: | ||
|- | |- | ||
| | | | ||
| | | 11/6 | ||
| 122.785 | | 122.785 | ||
| | | | ||
| Line 825: | Line 830: | ||
|- | |- | ||
| | | | ||
| {{ | | {{monzo| 0 19 -22 -7 32 }} | ||
| 124.180 | | 124.180 | ||
| 11-odd-limit least squares | | 11-odd-limit least squares | ||
|- | |- | ||
| | | | ||
| {{ | | {{monzo| 0 33 -66 -14 90 -6 }} | ||
| 124.186 | | 124.186 | ||
| 15-odd-limit least squares | | 15-odd-limit least squares | ||
|- | |- | ||
| | | | ||
| {{ | | {{monzo| 0 49 -50 -15 76 -8 }} | ||
| 124.215 | | 124.215 | ||
| 13-odd-limit least squares | | 13-odd-limit least squares | ||
| Line 845: | Line 850: | ||
|- | |- | ||
| | | | ||
| | | 11/7 | ||
| 124.424 | | 124.424 | ||
| | | | ||
|- | |- | ||
| | | | ||
| | | 3/2 | ||
| 124.511 | | 124.511 | ||
| 7- and 9-odd-limit minimax | | 7- and 9-odd-limit minimax | ||
| Line 860: | Line 865: | ||
|- | |- | ||
| | | | ||
| | | {{monzo| 0 -13 15 -5 }} | ||
| 125.469 | | 125.469 | ||
| 7-odd-limit least squares | | 7-odd-limit least squares | ||
|- | |- | ||
| | | | ||
| {{ | | {{monzo| 0 63 -26 -1 }} | ||
| 125.579 | | 125.579 | ||
| 9-odd-limit least squares | | 9-odd-limit least squares | ||
|- | |- | ||
| | | | ||
| | | 9/5 | ||
| 125.673 | | 125.673 | ||
| | | | ||
|- | |- | ||
| | | | ||
| | | {{monzo| 6 11 -10 }} | ||
| 126.238 | | 126.238 | ||
| 5-odd-limit least squares | | 5-odd-limit least squares | ||
|- | |- | ||
| | | | ||
| | | 5/3 | ||
| 126.337 | | 126.337 | ||
| 5-odd-limit minimax | | 5-odd-limit minimax | ||
|- | |- | ||
| | | | ||
| | | 13/9 | ||
| 127.324 | | 127.324 | ||
| | | | ||
| Line 900: | Line 905: | ||
|- | |- | ||
| | | | ||
| | | 13/7 | ||
| 128.298 | | 128.298 | ||
| | | | ||