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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | =Tuning Spectra= |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | |
| : This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2012-11-17 13:53:42 UTC</tt>.<br>
| | ==Spectrum of Magic Tunings by Eigenmonzos== |
| : The original revision id was <tt>383572318</tt>.<br>
| |
| : The revision comment was: <tt></tt><br>
| |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| |
| <h4>Original Wikitext content:</h4>
| |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">=Tuning Spectra=
| |
| ==Spectrum of Magic Tunings by Eigenmonzos== | |
|
| |
|
| 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: [<1 0 2 -1 6 -2|, <0 5 1 12 -8 18|] | | Gencom map: [<1 0 2 -1 6 -2|, <0 5 1 12 -8 18|] |
| ||~ Eigenmonzo ||~ Major Third ||
| |
| || 14/13 || 378.617 ||
| |
| || 6/5 || 378.910 ||
| |
| || 6\19 || 378.947 ||
| |
| || 15/13 || 379.355 ||
| |
| || 18/13 || 379.577 ||
| |
| || 13/10 || 379.660 ||
| |
| || 10/9 || 379.733 ||
| |
| || 13/12 || 379.890 ||
| |
| || 27/20 || 379.968 (5 limit least squares) ||
| |
| || 19\60 || 380.000 ||
| |
| || 16/13 || 380.029 ||
| |
| || 15/14 || 380.093 ||
| |
| || 32\101 || 380.198 ||
| |
| || 7/5 || 380.228 ||
| |
| || 13/11 || 380.354 (13 and 15 limit minimax) ||
| |
| || |0 56 -31 46 -94 88> || 380.377 (13 limit least squares) ||
| |
| || |0 36 -23 32> || 380.384 (9 limit least squares) ||
| |
| || |0 58 -29 52 -108 100> || 380.389 (15 limit least squares) ||
| |
| || 4/3 || 380.391 (5, 7 and 9 limit minimax) ||
| |
| || 13\41 || 380.488 ||
| |
| || |0 1 -7 15> || 380.506 (7 limit least squares) ||
| |
| || 11/9 || 380.700 (11 limit minimax) ||
| |
| || |0 85 -14 52 -68> || 380.714 (11 limit least squares) ||
| |
| || 8/7 || 380.735 ||
| |
| || 33\104 || 380.769 ||
| |
| || 12/11 || 380.818 ||
| |
| || 14/11 || 380.875 ||
| |
| || 20\63 || 380.952 ||
| |
| || 7/6 || 380.982 ||
| |
| || 11/8 || 381.085 ||
| |
| || 15/11 || 381.211 ||
| |
| || 16/15 || 381.378 ||
| |
| || 11/10 || 381.666 ||
| |
| || 7\22 || 381.818 ||
| |
| || 9/7 || 382.458 ||
| |
| || 5/4 || 386.314 ||
| |
|
| |
|
| ==Spectrum of Necromancy Tunings by Eigenmonzos== | | {| class="wikitable" |
| | |- |
| | ! | Eigenmonzo |
| | ! | Major Third |
| | |- |
| | | | 14/13 |
| | | | 378.617 |
| | |- |
| | | | 6/5 |
| | | | 378.910 |
| | |- |
| | | | 6\19 |
| | | | 378.947 |
| | |- |
| | | | 15/13 |
| | | | 379.355 |
| | |- |
| | | | 18/13 |
| | | | 379.577 |
| | |- |
| | | | 13/10 |
| | | | 379.660 |
| | |- |
| | | | 10/9 |
| | | | 379.733 |
| | |- |
| | | | 13/12 |
| | | | 379.890 |
| | |- |
| | | | 27/20 |
| | | | 379.968 (5 limit least squares) |
| | |- |
| | | | 19\60 |
| | | | 380.000 |
| | |- |
| | | | 16/13 |
| | | | 380.029 |
| | |- |
| | | | 15/14 |
| | | | 380.093 |
| | |- |
| | | | 32\101 |
| | | | 380.198 |
| | |- |
| | | | 7/5 |
| | | | 380.228 |
| | |- |
| | | | 13/11 |
| | | | 380.354 (13 and 15 limit minimax) |
| | |- |
| | | | |0 56 -31 46 -94 88> |
| | | | 380.377 (13 limit least squares) |
| | |- |
| | | | |0 36 -23 32> |
| | | | 380.384 (9 limit least squares) |
| | |- |
| | | | |0 58 -29 52 -108 100> |
| | | | 380.389 (15 limit least squares) |
| | |- |
| | | | 4/3 |
| | | | 380.391 (5, 7 and 9 limit minimax) |
| | |- |
| | | | 13\41 |
| | | | 380.488 |
| | |- |
| | | | |0 1 -7 15> |
| | | | 380.506 (7 limit least squares) |
| | |- |
| | | | 11/9 |
| | | | 380.700 (11 limit minimax) |
| | |- |
| | | | |0 85 -14 52 -68> |
| | | | 380.714 (11 limit least squares) |
| | |- |
| | | | 8/7 |
| | | | 380.735 |
| | |- |
| | | | 33\104 |
| | | | 380.769 |
| | |- |
| | | | 12/11 |
| | | | 380.818 |
| | |- |
| | | | 14/11 |
| | | | 380.875 |
| | |- |
| | | | 20\63 |
| | | | 380.952 |
| | |- |
| | | | 7/6 |
| | | | 380.982 |
| | |- |
| | | | 11/8 |
| | | | 381.085 |
| | |- |
| | | | 15/11 |
| | | | 381.211 |
| | |- |
| | | | 16/15 |
| | | | 381.378 |
| | |- |
| | | | 11/10 |
| | | | 381.666 |
| | |- |
| | | | 7\22 |
| | | | 381.818 |
| | |- |
| | | | 9/7 |
| | | | 382.458 |
| | |- |
| | | | 5/4 |
| | | | 386.314 |
| | |} |
| | |
| | ==Spectrum of Necromancy Tunings by Eigenmonzos== |
|
| |
|
| 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: [<1 0 2 -1 6 11|, <0 5 1 12 -8 -23|] | | Gencom map: [<1 0 2 -1 6 11|, <0 5 1 12 -8 -23|] |
| ||~ Eigenmonzo ||~ Major Third ||
| |
| || 6/5 || 378.910 ||
| |
| || 6\19 || 378.947 ||
| |
| || 10/9 || 379.733 ||
| |
| || 27/20 || 379.968 (5 limit least squares) ||
| |
| || 19\60 || 380.000 ||
| |
| || 15/14 || 380.093 ||
| |
| || 32\101 || 380.198 ||
| |
| || 7/5 || 380.228 ||
| |
| || |0 36 -23 32> || 380.384 (9 limit least squares) ||
| |
| || 4/3 || 380.391 (5, 7 and 9 limit minimax) ||
| |
| || 13\41 || 380.488 ||
| |
| || |0 1 -7 15> || 380.506 (7 limit least squares) ||
| |
| || 11/9 || 380.700 (11 limit minimax) ||
| |
| || 18/13 || 380.709 (13 and 15 limit minimax) ||
| |
| || |0 85 -14 52 -68> || 380.714 (11 limit least squares) ||
| |
| || 13/11 || 380.719 ||
| |
| || 8/7 || 380.735 ||
| |
| || 13/12 || 380.765 ||
| |
| || 33\104 || 380.769 ||
| |
| || |0 -179 -10 -87 53 158> || 380.785 (13 limit least squares) ||
| |
| || 14/13 || 380.809 ||
| |
| || |0 -222 -53 -93 67 187> || 380.817 (15 limit least squares) ||
| |
| || 12/11 || 380.818 ||
| |
| || 16/13 || 380.847 ||
| |
| || 14/11 || 380.875 ||
| |
| || 20\63 || 380.952 ||
| |
| || 15/13 || 380.957 ||
| |
| || 7/6 || 380.982 ||
| |
| || 13/10 || 381.074 ||
| |
| || 11/8 || 381.085 ||
| |
| || 15/11 || 381.211 ||
| |
| || 16/15 || 381.378 ||
| |
| || 11/10 || 381.666 ||
| |
| || 7\22 || 381.818 ||
| |
| || 9/7 || 382.458 ||
| |
| || 5/4 || 386.314 ||
| |
|
| |
|
| | {| class="wikitable" |
| | |- |
| | ! | Eigenmonzo |
| | ! | Major Third |
| | |- |
| | | | 6/5 |
| | | | 378.910 |
| | |- |
| | | | 6\19 |
| | | | 378.947 |
| | |- |
| | | | 10/9 |
| | | | 379.733 |
| | |- |
| | | | 27/20 |
| | | | 379.968 (5 limit least squares) |
| | |- |
| | | | 19\60 |
| | | | 380.000 |
| | |- |
| | | | 15/14 |
| | | | 380.093 |
| | |- |
| | | | 32\101 |
| | | | 380.198 |
| | |- |
| | | | 7/5 |
| | | | 380.228 |
| | |- |
| | | | |0 36 -23 32> |
| | | | 380.384 (9 limit least squares) |
| | |- |
| | | | 4/3 |
| | | | 380.391 (5, 7 and 9 limit minimax) |
| | |- |
| | | | 13\41 |
| | | | 380.488 |
| | |- |
| | | | |0 1 -7 15> |
| | | | 380.506 (7 limit least squares) |
| | |- |
| | | | 11/9 |
| | | | 380.700 (11 limit minimax) |
| | |- |
| | | | 18/13 |
| | | | 380.709 (13 and 15 limit minimax) |
| | |- |
| | | | |0 85 -14 52 -68> |
| | | | 380.714 (11 limit least squares) |
| | |- |
| | | | 13/11 |
| | | | 380.719 |
| | |- |
| | | | 8/7 |
| | | | 380.735 |
| | |- |
| | | | 13/12 |
| | | | 380.765 |
| | |- |
| | | | 33\104 |
| | | | 380.769 |
| | |- |
| | | | |0 -179 -10 -87 53 158> |
| | | | 380.785 (13 limit least squares) |
| | |- |
| | | | 14/13 |
| | | | 380.809 |
| | |- |
| | | | |0 -222 -53 -93 67 187> |
| | | | 380.817 (15 limit least squares) |
| | |- |
| | | | 12/11 |
| | | | 380.818 |
| | |- |
| | | | 16/13 |
| | | | 380.847 |
| | |- |
| | | | 14/11 |
| | | | 380.875 |
| | |- |
| | | | 20\63 |
| | | | 380.952 |
| | |- |
| | | | 15/13 |
| | | | 380.957 |
| | |- |
| | | | 7/6 |
| | | | 380.982 |
| | |- |
| | | | 13/10 |
| | | | 381.074 |
| | |- |
| | | | 11/8 |
| | | | 381.085 |
| | |- |
| | | | 15/11 |
| | | | 381.211 |
| | |- |
| | | | 16/15 |
| | | | 381.378 |
| | |- |
| | | | 11/10 |
| | | | 381.666 |
| | |- |
| | | | 7\22 |
| | | | 381.818 |
| | |- |
| | | | 9/7 |
| | | | 382.458 |
| | |- |
| | | | 5/4 |
| | | | 386.314 |
| | |} |
|
| |
|
| ==Spectrum of Sorcery Tunings by Eigenmonzos== | | ==Spectrum of Sorcery Tunings by Eigenmonzos== |
|
| |
|
| 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: [<1 0 2 -1 6 4|, <0 5 1 12 -8 -1|] | | Gencom map: [<1 0 2 -1 6 4|, <0 5 1 12 -8 -1|] |
| ||~ Eigenmonzo ||~ Major Third ||
| |
| || 16/13 || 359.472 ||
| |
| || 13/10 || 372.893 ||
| |
| || 13/12 || 376.905 ||
| |
| || 15/13 || 378.249 ||
| |
| || 18/13 || 378.489 ||
| |
| || 6/5 || 378.910 ||
| |
| || 6\19 || 378.947 ||
| |
| || 14/13 || 379.100 ||
| |
| || 10/9 || 379.733 ||
| |
| || 27/20 || 379.968 (5 limit least squares) ||
| |
| || 19\60 || 380.000 ||
| |
| || 15/14 || 380.093 ||
| |
| || 32\101 || 380.198 ||
| |
| || 7/5 || 380.228 ||
| |
| || |0 36 -23 32> || 380.384 (9 limit least squares) ||
| |
| || 4/3 || 380.391 (5, 7 and 9 limit minimax) ||
| |
| || |0 -113 12 -65 75 26> || 380.427 (13 limit least squares) ||
| |
| || |0 134 9 71 -89 -33> || 380.457 (15 limit least squares) ||
| |
| || 13\41 || 380.488 ||
| |
| || |0 1 -7 15> || 380.506 (7 limit least squares) ||
| |
| || 11/9 || 380.700 (11, 13 and 15 limit minimax) ||
| |
| || |0 85 -14 52 -68> || 380.714 (11 limit least squares) ||
| |
| || 8/7 || 380.735 ||
| |
| || 33\104 || 380.769 ||
| |
| || 12/11 || 380.818 ||
| |
| || 14/11 || 380.875 ||
| |
| || 20\63 || 380.952 ||
| |
| || 7/6 || 380.982 ||
| |
| || 11/8 || 381.085 ||
| |
| || 15/11 || 381.211 ||
| |
| || 16/15 || 381.378 ||
| |
| || 11/10 || 381.666 ||
| |
| || 7\22 || 381.818 ||
| |
| || 9/7 || 382.458 ||
| |
| || 13/11 || 384.173 ||
| |
| || 5/4 || 386.314 ||
| |
|
| |
|
| | {| class="wikitable" |
| | |- |
| | ! | Eigenmonzo |
| | ! | Major Third |
| | |- |
| | | | 16/13 |
| | | | 359.472 |
| | |- |
| | | | 13/10 |
| | | | 372.893 |
| | |- |
| | | | 13/12 |
| | | | 376.905 |
| | |- |
| | | | 15/13 |
| | | | 378.249 |
| | |- |
| | | | 18/13 |
| | | | 378.489 |
| | |- |
| | | | 6/5 |
| | | | 378.910 |
| | |- |
| | | | 6\19 |
| | | | 378.947 |
| | |- |
| | | | 14/13 |
| | | | 379.100 |
| | |- |
| | | | 10/9 |
| | | | 379.733 |
| | |- |
| | | | 27/20 |
| | | | 379.968 (5 limit least squares) |
| | |- |
| | | | 19\60 |
| | | | 380.000 |
| | |- |
| | | | 15/14 |
| | | | 380.093 |
| | |- |
| | | | 32\101 |
| | | | 380.198 |
| | |- |
| | | | 7/5 |
| | | | 380.228 |
| | |- |
| | | | |0 36 -23 32> |
| | | | 380.384 (9 limit least squares) |
| | |- |
| | | | 4/3 |
| | | | 380.391 (5, 7 and 9 limit minimax) |
| | |- |
| | | | |0 -113 12 -65 75 26> |
| | | | 380.427 (13 limit least squares) |
| | |- |
| | | | |0 134 9 71 -89 -33> |
| | | | 380.457 (15 limit least squares) |
| | |- |
| | | | 13\41 |
| | | | 380.488 |
| | |- |
| | | | |0 1 -7 15> |
| | | | 380.506 (7 limit least squares) |
| | |- |
| | | | 11/9 |
| | | | 380.700 (11, 13 and 15 limit minimax) |
| | |- |
| | | | |0 85 -14 52 -68> |
| | | | 380.714 (11 limit least squares) |
| | |- |
| | | | 8/7 |
| | | | 380.735 |
| | |- |
| | | | 33\104 |
| | | | 380.769 |
| | |- |
| | | | 12/11 |
| | | | 380.818 |
| | |- |
| | | | 14/11 |
| | | | 380.875 |
| | |- |
| | | | 20\63 |
| | | | 380.952 |
| | |- |
| | | | 7/6 |
| | | | 380.982 |
| | |- |
| | | | 11/8 |
| | | | 381.085 |
| | |- |
| | | | 15/11 |
| | | | 381.211 |
| | |- |
| | | | 16/15 |
| | | | 381.378 |
| | |- |
| | | | 11/10 |
| | | | 381.666 |
| | |- |
| | | | 7\22 |
| | | | 381.818 |
| | |- |
| | | | 9/7 |
| | | | 382.458 |
| | |- |
| | | | 13/11 |
| | | | 384.173 |
| | |- |
| | | | 5/4 |
| | | | 386.314 |
| | |} |
|
| |
|
| ==Spectrum of Telepathy Tunings by Eigenmonzos== | | ==Spectrum of Telepathy Tunings by Eigenmonzos== |
|
| |
|
| 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: [<1 0 2 -1 -1 4|, <0 5 1 12 14 -1|] | | Gencom map: [<1 0 2 -1 -1 4|, <0 5 1 12 14 -1|] |
| ||~ Eigenmonzo ||~ Major Third ||
| |
| || 16/13 || 359.472 ||
| |
| || 13/10 || 372.893 ||
| |
| || 13/12 || 376.905 ||
| |
| || 15/13 || 378.249 ||
| |
| || 18/13 || 378.489 ||
| |
| || 6/5 || 378.910 ||
| |
| || 6\19 || 378.947 ||
| |
| || 14/13 || 379.100 ||
| |
| || 10/9 || 379.733 ||
| |
| || 27/20 || 379.968 (5 limit least squares) ||
| |
| || 19\60 || 380.000 ||
| |
| || 15/14 || 380.093 ||
| |
| || 32\101 || 380.198 ||
| |
| || 7/5 || 380.228 ||
| |
| || |0 36 -23 32> || 380.384 (9 limit least squares) ||
| |
| || 4/3 || 380.391 (5, 7 and 9 limit minimax) ||
| |
| || 13\41 || 380.488 ||
| |
| || |0 1 -7 15> || 380.506 (7 limit least squares) ||
| |
| || |0 47 -34 43 57 -48> || 380.676 (13 limit least squares) ||
| |
| || |0 46 -35 49 65 -55> || 380.691 (15 limit least squares) ||
| |
| || 13/11 || 380.719 (13 and 15 limit minimax) ||
| |
| || 8/7 || 380.735 ||
| |
| || 33\104 || 380.769 ||
| |
| || 20\63 || 380.952 ||
| |
| || 7/6 || 380.982 ||
| |
| || 16/15 || 381.378 ||
| |
| || |0 19 -36 30 42> || 381.380 (11 limit least squares) ||
| |
| || 7\22 || 381.818 ||
| |
| || 11/10 || 381.923 (11 limit minimax) ||
| |
| || 11/8 || 382.237 ||
| |
| || 9/7 || 382.458 ||
| |
| || 15/11 || 382.881 ||
| |
| || 12/11 || 383.263 ||
| |
| || 5/4 || 386.314 ||
| |
| || 11/9 || 386.852 ||
| |
| || 14/11 || 391.246 ||
| |
|
| |
|
| | {| class="wikitable" |
| | |- |
| | ! | Eigenmonzo |
| | ! | Major Third |
| | |- |
| | | | 16/13 |
| | | | 359.472 |
| | |- |
| | | | 13/10 |
| | | | 372.893 |
| | |- |
| | | | 13/12 |
| | | | 376.905 |
| | |- |
| | | | 15/13 |
| | | | 378.249 |
| | |- |
| | | | 18/13 |
| | | | 378.489 |
| | |- |
| | | | 6/5 |
| | | | 378.910 |
| | |- |
| | | | 6\19 |
| | | | 378.947 |
| | |- |
| | | | 14/13 |
| | | | 379.100 |
| | |- |
| | | | 10/9 |
| | | | 379.733 |
| | |- |
| | | | 27/20 |
| | | | 379.968 (5 limit least squares) |
| | |- |
| | | | 19\60 |
| | | | 380.000 |
| | |- |
| | | | 15/14 |
| | | | 380.093 |
| | |- |
| | | | 32\101 |
| | | | 380.198 |
| | |- |
| | | | 7/5 |
| | | | 380.228 |
| | |- |
| | | | |0 36 -23 32> |
| | | | 380.384 (9 limit least squares) |
| | |- |
| | | | 4/3 |
| | | | 380.391 (5, 7 and 9 limit minimax) |
| | |- |
| | | | 13\41 |
| | | | 380.488 |
| | |- |
| | | | |0 1 -7 15> |
| | | | 380.506 (7 limit least squares) |
| | |- |
| | | | |0 47 -34 43 57 -48> |
| | | | 380.676 (13 limit least squares) |
| | |- |
| | | | |0 46 -35 49 65 -55> |
| | | | 380.691 (15 limit least squares) |
| | |- |
| | | | 13/11 |
| | | | 380.719 (13 and 15 limit minimax) |
| | |- |
| | | | 8/7 |
| | | | 380.735 |
| | |- |
| | | | 33\104 |
| | | | 380.769 |
| | |- |
| | | | 20\63 |
| | | | 380.952 |
| | |- |
| | | | 7/6 |
| | | | 380.982 |
| | |- |
| | | | 16/15 |
| | | | 381.378 |
| | |- |
| | | | |0 19 -36 30 42> |
| | | | 381.380 (11 limit least squares) |
| | |- |
| | | | 7\22 |
| | | | 381.818 |
| | |- |
| | | | 11/10 |
| | | | 381.923 (11 limit minimax) |
| | |- |
| | | | 11/8 |
| | | | 382.237 |
| | |- |
| | | | 9/7 |
| | | | 382.458 |
| | |- |
| | | | 15/11 |
| | | | 382.881 |
| | |- |
| | | | 12/11 |
| | | | 383.263 |
| | |- |
| | | | 5/4 |
| | | | 386.314 |
| | |- |
| | | | 11/9 |
| | | | 386.852 |
| | |- |
| | | | 14/11 |
| | | | 391.246 |
| | |} |
|
| |
|
| ==Spectrum of Witchcraft Tunings by Eigenmonzos== | | ==Spectrum of Witchcraft Tunings by Eigenmonzos== |
|
| |
|
| 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: [<1 0 2 -1 -7 -2|, <0 5 1 12 33 18|] | | Gencom map: [<1 0 2 -1 -7 -2|, <0 5 1 12 33 18|] |
| ||~ Eigenmonzo ||~ Major Third ||
| |
| || 14/13 || 378.617 ||
| |
| || 6/5 || 378.910 ||
| |
| || 6\19 || 378.947 ||
| |
| || 15/13 || 379.355 ||
| |
| || 18/13 || 379.577 ||
| |
| || 13/10 || 379.660 ||
| |
| || 10/9 || 379.733 ||
| |
| || 27/20 || 379.968 (5 limit least squares) ||
| |
| || 13/12 || 379.890 ||
| |
| || 19\60 || 380.000 ||
| |
| || 16/13 || 380.029 ||
| |
| || 15/14 || 380.093 ||
| |
| || 15/11 || 380.113 (15 limit minimax) ||
| |
| || 14/11 || 380.119 (13 limit minimax) ||
| |
| || 11/10 || 380.156 ||
| |
| || |0 -106 -111 11 179 59> || 380.193 (15 limit least squares) ||
| |
| || 32\101 || 380.198 ||
| |
| || |0 -67 -72 5 152 47> || 380.218 (13 limit least squares) ||
| |
| || 7/5 || 380.228 ||
| |
| || |0 -38 -55 11 137> || 380.278 (11 limit least squares) ||
| |
| || 11/9 || 380.322 ||
| |
| || 12/11 || 380.334 ||
| |
| || 11/8 || 380.343 (11 limit minimax) ||
| |
| || |0 36 -23 32> || 380.384 (9 limit least squares) ||
| |
| || 4/3 || 380.391 (5, 7 and 9 limit minimax) ||
| |
| || 13\41 || 380.488 ||
| |
| || 13/11 || 380.719 ||
| |
| || 8/7 || 380.735 ||
| |
| || 33\104 || 380.769 ||
| |
| || 20\63 || 380.952 ||
| |
| || 7/6 || 380.982 ||
| |
| || 16/15 || 381.378 ||
| |
| || 7\22 || 381.818 ||
| |
| || 9/7 || 382.458 ||
| |
| || 5/4 || 386.314 ||
| |
|
| |
|
| | {| class="wikitable" |
| | |- |
| | ! | Eigenmonzo |
| | ! | Major Third |
| | |- |
| | | | 14/13 |
| | | | 378.617 |
| | |- |
| | | | 6/5 |
| | | | 378.910 |
| | |- |
| | | | 6\19 |
| | | | 378.947 |
| | |- |
| | | | 15/13 |
| | | | 379.355 |
| | |- |
| | | | 18/13 |
| | | | 379.577 |
| | |- |
| | | | 13/10 |
| | | | 379.660 |
| | |- |
| | | | 10/9 |
| | | | 379.733 |
| | |- |
| | | | 27/20 |
| | | | 379.968 (5 limit least squares) |
| | |- |
| | | | 13/12 |
| | | | 379.890 |
| | |- |
| | | | 19\60 |
| | | | 380.000 |
| | |- |
| | | | 16/13 |
| | | | 380.029 |
| | |- |
| | | | 15/14 |
| | | | 380.093 |
| | |- |
| | | | 15/11 |
| | | | 380.113 (15 limit minimax) |
| | |- |
| | | | 14/11 |
| | | | 380.119 (13 limit minimax) |
| | |- |
| | | | 11/10 |
| | | | 380.156 |
| | |- |
| | | | |0 -106 -111 11 179 59> |
| | | | 380.193 (15 limit least squares) |
| | |- |
| | | | 32\101 |
| | | | 380.198 |
| | |- |
| | | | |0 -67 -72 5 152 47> |
| | | | 380.218 (13 limit least squares) |
| | |- |
| | | | 7/5 |
| | | | 380.228 |
| | |- |
| | | | |0 -38 -55 11 137> |
| | | | 380.278 (11 limit least squares) |
| | |- |
| | | | 11/9 |
| | | | 380.322 |
| | |- |
| | | | 12/11 |
| | | | 380.334 |
| | |- |
| | | | 11/8 |
| | | | 380.343 (11 limit minimax) |
| | |- |
| | | | |0 36 -23 32> |
| | | | 380.384 (9 limit least squares) |
| | |- |
| | | | 4/3 |
| | | | 380.391 (5, 7 and 9 limit minimax) |
| | |- |
| | | | 13\41 |
| | | | 380.488 |
| | |- |
| | | | 13/11 |
| | | | 380.719 |
| | |- |
| | | | 8/7 |
| | | | 380.735 |
| | |- |
| | | | 33\104 |
| | | | 380.769 |
| | |- |
| | | | 20\63 |
| | | | 380.952 |
| | |- |
| | | | 7/6 |
| | | | 380.982 |
| | |- |
| | | | 16/15 |
| | | | 381.378 |
| | |- |
| | | | 7\22 |
| | | | 381.818 |
| | |- |
| | | | 9/7 |
| | | | 382.458 |
| | |- |
| | | | 5/4 |
| | | | 386.314 |
| | |} |
|
| |
|
| ==Spectrum of Muggles Tunings by Eigenmonzos== | | ==Spectrum of Muggles Tunings by Eigenmonzos== |
|
| |
|
| 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: [<1 0 2 5 0 4|, <0 5 1 -7 11 -1|] | | Gencom map: [<1 0 2 5 0 4|, <0 5 1 -7 11 -1|] |
| ||~ Eigenmonzo ||~ Major Third ||
| |
| || 11/9 || 347.408 ||
| |
| || 16/13 || 359.472 ||
| |
| || 15/11 || 372.610 ||
| |
| || 13/10 || 372.893 ||
| |
| || 12/11 || 374.894 ||
| |
| || 8/7 || 375.882 ||
| |
| || 13/11 || 375.899 ||
| |
| || 11/10 || 376.500 ||
| |
| || 14/11 || 376.805 ||
| |
| || 13/12 || 376.905 ||
| |
| || 7/5 || 377.186 ||
| |
| || 11/8 || 377.393 (11, 13 and 15 limit minimax) ||
| |
| || |0 113 -12 -68 58 -26> || 377.630 (13 limit least squares) ||
| |
| || |0 -21 -5 27> || 377.640 (7 limit least squares) ||
| |
| || |0 134 9 -81 63 -33> || 377.718 (15 limit least squares) ||
| |
| || |0 85 -14 -62 46> || 377.758 (11 limit least squares) ||
| |
| || 7/6 || 377.761 (7 limit minimax) ||
| |
| || 15/13 || 378.249 ||
| |
| || 15/14 || 378.419 ||
| |
| || 18/13 || 378.489 ||
| |
| || 9/7 || 378.534 (9 limit minimax) ||
| |
| || |0 93 -4 -44> || 378.554 (9 limit least squares) ||
| |
| || 14/13 || 378.617 ||
| |
| || 6/5 || 378.910 ||
| |
| || 6\19 || 378.947 ||
| |
| || 10/9 || 379.733 ||
| |
| || 27/20 || 379.968 (5 limit least squares) ||
| |
| || 19\60 || 380.000 ||
| |
| || 32\101 || 380.198 ||
| |
| || 4/3 || 380.391 (5 limit minimax) ||
| |
| || 13\41 || 380.488 ||
| |
| || 33\104 || 380.769 ||
| |
| || 20\63 || 380.952 ||
| |
| || 16/15 || 381.378 ||
| |
| || 7\22 || 381.818 ||
| |
| || 5/4 || 386.314 ||</pre></div>
| |
| <h4>Original HTML content:</h4>
| |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Magic extensions</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Tuning Spectra"></a><!-- ws:end:WikiTextHeadingRule:0 -->Tuning Spectra</h1>
| |
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Tuning Spectra-Spectrum of Magic Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:2 -->Spectrum of Magic Tunings by Eigenmonzos</h2>
| |
| <br />
| |
| Gencom: [2 5/4; 100/99 105/104 144/143 196/195]<br />
| |
| Gencom map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 1 12 -8 18|]<br />
| |
|
| |
|
| |
| <table class="wiki_table">
| |
| <tr>
| |
| <th>Eigenmonzo<br />
| |
| </th>
| |
| <th>Major Third<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td>14/13<br />
| |
| </td>
| |
| <td>378.617<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6/5<br />
| |
| </td>
| |
| <td>378.910<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6\19<br />
| |
| </td>
| |
| <td>378.947<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/13<br />
| |
| </td>
| |
| <td>379.355<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18/13<br />
| |
| </td>
| |
| <td>379.577<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/10<br />
| |
| </td>
| |
| <td>379.660<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10/9<br />
| |
| </td>
| |
| <td>379.733<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/12<br />
| |
| </td>
| |
| <td>379.890<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>27/20<br />
| |
| </td>
| |
| <td>379.968 (5 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>19\60<br />
| |
| </td>
| |
| <td>380.000<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16/13<br />
| |
| </td>
| |
| <td>380.029<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/14<br />
| |
| </td>
| |
| <td>380.093<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>32\101<br />
| |
| </td>
| |
| <td>380.198<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7/5<br />
| |
| </td>
| |
| <td>380.228<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/11<br />
| |
| </td>
| |
| <td>380.354 (13 and 15 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 56 -31 46 -94 88&gt;<br />
| |
| </td>
| |
| <td>380.377 (13 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 36 -23 32&gt;<br />
| |
| </td>
| |
| <td>380.384 (9 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 58 -29 52 -108 100&gt;<br />
| |
| </td>
| |
| <td>380.389 (15 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4/3<br />
| |
| </td>
| |
| <td>380.391 (5, 7 and 9 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13\41<br />
| |
| </td>
| |
| <td>380.488<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 1 -7 15&gt;<br />
| |
| </td>
| |
| <td>380.506 (7 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/9<br />
| |
| </td>
| |
| <td>380.700 (11 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 85 -14 52 -68&gt;<br />
| |
| </td>
| |
| <td>380.714 (11 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>8/7<br />
| |
| </td>
| |
| <td>380.735<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>33\104<br />
| |
| </td>
| |
| <td>380.769<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12/11<br />
| |
| </td>
| |
| <td>380.818<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14/11<br />
| |
| </td>
| |
| <td>380.875<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>20\63<br />
| |
| </td>
| |
| <td>380.952<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7/6<br />
| |
| </td>
| |
| <td>380.982<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/8<br />
| |
| </td>
| |
| <td>381.085<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/11<br />
| |
| </td>
| |
| <td>381.211<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16/15<br />
| |
| </td>
| |
| <td>381.378<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/10<br />
| |
| </td>
| |
| <td>381.666<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7\22<br />
| |
| </td>
| |
| <td>381.818<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9/7<br />
| |
| </td>
| |
| <td>382.458<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5/4<br />
| |
| </td>
| |
| <td>386.314<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Tuning Spectra-Spectrum of Necromancy Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:4 -->Spectrum of Necromancy Tunings by Eigenmonzos</h2>
| |
| <br />
| |
| Gencom: [2 5/4; 100/99 225/224 245/243 275/273]<br />
| |
| Gencom map: [&lt;1 0 2 -1 6 11|, &lt;0 5 1 12 -8 -23|]<br />
| |
|
| |
|
| |
| <table class="wiki_table">
| |
| <tr>
| |
| <th>Eigenmonzo<br />
| |
| </th>
| |
| <th>Major Third<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td>6/5<br />
| |
| </td>
| |
| <td>378.910<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6\19<br />
| |
| </td>
| |
| <td>378.947<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10/9<br />
| |
| </td>
| |
| <td>379.733<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>27/20<br />
| |
| </td>
| |
| <td>379.968 (5 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>19\60<br />
| |
| </td>
| |
| <td>380.000<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/14<br />
| |
| </td>
| |
| <td>380.093<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>32\101<br />
| |
| </td>
| |
| <td>380.198<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7/5<br />
| |
| </td>
| |
| <td>380.228<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 36 -23 32&gt;<br />
| |
| </td>
| |
| <td>380.384 (9 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4/3<br />
| |
| </td>
| |
| <td>380.391 (5, 7 and 9 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13\41<br />
| |
| </td>
| |
| <td>380.488<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 1 -7 15&gt;<br />
| |
| </td>
| |
| <td>380.506 (7 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/9<br />
| |
| </td>
| |
| <td>380.700 (11 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18/13<br />
| |
| </td>
| |
| <td>380.709 (13 and 15 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 85 -14 52 -68&gt;<br />
| |
| </td>
| |
| <td>380.714 (11 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/11<br />
| |
| </td>
| |
| <td>380.719<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>8/7<br />
| |
| </td>
| |
| <td>380.735<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/12<br />
| |
| </td>
| |
| <td>380.765<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>33\104<br />
| |
| </td>
| |
| <td>380.769<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 -179 -10 -87 53 158&gt;<br />
| |
| </td>
| |
| <td>380.785 (13 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14/13<br />
| |
| </td>
| |
| <td>380.809<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 -222 -53 -93 67 187&gt;<br />
| |
| </td>
| |
| <td>380.817 (15 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12/11<br />
| |
| </td>
| |
| <td>380.818<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16/13<br />
| |
| </td>
| |
| <td>380.847<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14/11<br />
| |
| </td>
| |
| <td>380.875<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>20\63<br />
| |
| </td>
| |
| <td>380.952<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/13<br />
| |
| </td>
| |
| <td>380.957<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7/6<br />
| |
| </td>
| |
| <td>380.982<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/10<br />
| |
| </td>
| |
| <td>381.074<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/8<br />
| |
| </td>
| |
| <td>381.085<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/11<br />
| |
| </td>
| |
| <td>381.211<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16/15<br />
| |
| </td>
| |
| <td>381.378<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/10<br />
| |
| </td>
| |
| <td>381.666<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7\22<br />
| |
| </td>
| |
| <td>381.818<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9/7<br />
| |
| </td>
| |
| <td>382.458<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5/4<br />
| |
| </td>
| |
| <td>386.314<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
| <br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Tuning Spectra-Spectrum of Sorcery Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:6 -->Spectrum of Sorcery Tunings by Eigenmonzos</h2>
| |
| <br />
| |
| Gencom: [2 5/4; 65/64 78/77 91/90 100/99]<br />
| |
| Gencom map: [&lt;1 0 2 -1 6 4|, &lt;0 5 1 12 -8 -1|]<br />
| |
|
| |
|
| |
| <table class="wiki_table">
| |
| <tr>
| |
| <th>Eigenmonzo<br />
| |
| </th>
| |
| <th>Major Third<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td>16/13<br />
| |
| </td>
| |
| <td>359.472<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/10<br />
| |
| </td>
| |
| <td>372.893<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/12<br />
| |
| </td>
| |
| <td>376.905<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/13<br />
| |
| </td>
| |
| <td>378.249<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18/13<br />
| |
| </td>
| |
| <td>378.489<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6/5<br />
| |
| </td>
| |
| <td>378.910<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6\19<br />
| |
| </td>
| |
| <td>378.947<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14/13<br />
| |
| </td>
| |
| <td>379.100<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10/9<br />
| |
| </td>
| |
| <td>379.733<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>27/20<br />
| |
| </td>
| |
| <td>379.968 (5 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>19\60<br />
| |
| </td>
| |
| <td>380.000<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/14<br />
| |
| </td>
| |
| <td>380.093<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>32\101<br />
| |
| </td>
| |
| <td>380.198<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7/5<br />
| |
| </td>
| |
| <td>380.228<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 36 -23 32&gt;<br />
| |
| </td>
| |
| <td>380.384 (9 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4/3<br />
| |
| </td>
| |
| <td>380.391 (5, 7 and 9 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 -113 12 -65 75 26&gt;<br />
| |
| </td>
| |
| <td>380.427 (13 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 134 9 71 -89 -33&gt;<br />
| |
| </td>
| |
| <td>380.457 (15 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13\41<br />
| |
| </td>
| |
| <td>380.488<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 1 -7 15&gt;<br />
| |
| </td>
| |
| <td>380.506 (7 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/9<br />
| |
| </td>
| |
| <td>380.700 (11, 13 and 15 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 85 -14 52 -68&gt;<br />
| |
| </td>
| |
| <td>380.714 (11 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>8/7<br />
| |
| </td>
| |
| <td>380.735<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>33\104<br />
| |
| </td>
| |
| <td>380.769<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12/11<br />
| |
| </td>
| |
| <td>380.818<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14/11<br />
| |
| </td>
| |
| <td>380.875<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>20\63<br />
| |
| </td>
| |
| <td>380.952<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7/6<br />
| |
| </td>
| |
| <td>380.982<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/8<br />
| |
| </td>
| |
| <td>381.085<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/11<br />
| |
| </td>
| |
| <td>381.211<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16/15<br />
| |
| </td>
| |
| <td>381.378<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/10<br />
| |
| </td>
| |
| <td>381.666<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7\22<br />
| |
| </td>
| |
| <td>381.818<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9/7<br />
| |
| </td>
| |
| <td>382.458<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/11<br />
| |
| </td>
| |
| <td>384.173<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5/4<br />
| |
| </td>
| |
| <td>386.314<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
| <br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Tuning Spectra-Spectrum of Telepathy Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:8 -->Spectrum of Telepathy Tunings by Eigenmonzos</h2>
| |
| <br />
| |
| Gencom: [2 5/4; 55/54 65/64 91/90 99/98]<br />
| |
| Gencom map: [&lt;1 0 2 -1 -1 4|, &lt;0 5 1 12 14 -1|]<br />
| |
|
| |
|
| |
| <table class="wiki_table">
| |
| <tr>
| |
| <th>Eigenmonzo<br />
| |
| </th>
| |
| <th>Major Third<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td>16/13<br />
| |
| </td>
| |
| <td>359.472<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/10<br />
| |
| </td>
| |
| <td>372.893<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/12<br />
| |
| </td>
| |
| <td>376.905<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/13<br />
| |
| </td>
| |
| <td>378.249<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18/13<br />
| |
| </td>
| |
| <td>378.489<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6/5<br />
| |
| </td>
| |
| <td>378.910<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6\19<br />
| |
| </td>
| |
| <td>378.947<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14/13<br />
| |
| </td>
| |
| <td>379.100<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10/9<br />
| |
| </td>
| |
| <td>379.733<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>27/20<br />
| |
| </td>
| |
| <td>379.968 (5 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>19\60<br />
| |
| </td>
| |
| <td>380.000<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/14<br />
| |
| </td>
| |
| <td>380.093<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>32\101<br />
| |
| </td>
| |
| <td>380.198<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7/5<br />
| |
| </td>
| |
| <td>380.228<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 36 -23 32&gt;<br />
| |
| </td>
| |
| <td>380.384 (9 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4/3<br />
| |
| </td>
| |
| <td>380.391 (5, 7 and 9 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13\41<br />
| |
| </td>
| |
| <td>380.488<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 1 -7 15&gt;<br />
| |
| </td>
| |
| <td>380.506 (7 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 47 -34 43 57 -48&gt;<br />
| |
| </td>
| |
| <td>380.676 (13 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 46 -35 49 65 -55&gt;<br />
| |
| </td>
| |
| <td>380.691 (15 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/11<br />
| |
| </td>
| |
| <td>380.719 (13 and 15 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>8/7<br />
| |
| </td>
| |
| <td>380.735<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>33\104<br />
| |
| </td>
| |
| <td>380.769<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>20\63<br />
| |
| </td>
| |
| <td>380.952<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7/6<br />
| |
| </td>
| |
| <td>380.982<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16/15<br />
| |
| </td>
| |
| <td>381.378<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 19 -36 30 42&gt;<br />
| |
| </td>
| |
| <td>381.380 (11 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7\22<br />
| |
| </td>
| |
| <td>381.818<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/10<br />
| |
| </td>
| |
| <td>381.923 (11 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/8<br />
| |
| </td>
| |
| <td>382.237<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9/7<br />
| |
| </td>
| |
| <td>382.458<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/11<br />
| |
| </td>
| |
| <td>382.881<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12/11<br />
| |
| </td>
| |
| <td>383.263<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5/4<br />
| |
| </td>
| |
| <td>386.314<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/9<br />
| |
| </td>
| |
| <td>386.852<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14/11<br />
| |
| </td>
| |
| <td>391.246<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
| <br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Tuning Spectra-Spectrum of Witchcraft Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:10 -->Spectrum of Witchcraft Tunings by Eigenmonzos</h2>
| |
| <br />
| |
| Gencom: [2 5/4; 105/104 196/195 245/243 275/273]<br />
| |
| Gencom map: [&lt;1 0 2 -1 -7 -2|, &lt;0 5 1 12 33 18|]<br />
| |
|
| |
|
| |
| <table class="wiki_table">
| |
| <tr>
| |
| <th>Eigenmonzo<br />
| |
| </th>
| |
| <th>Major Third<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td>14/13<br />
| |
| </td>
| |
| <td>378.617<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6/5<br />
| |
| </td>
| |
| <td>378.910<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6\19<br />
| |
| </td>
| |
| <td>378.947<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/13<br />
| |
| </td>
| |
| <td>379.355<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18/13<br />
| |
| </td>
| |
| <td>379.577<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/10<br />
| |
| </td>
| |
| <td>379.660<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10/9<br />
| |
| </td>
| |
| <td>379.733<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>27/20<br />
| |
| </td>
| |
| <td>379.968 (5 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/12<br />
| |
| </td>
| |
| <td>379.890<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>19\60<br />
| |
| </td>
| |
| <td>380.000<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16/13<br />
| |
| </td>
| |
| <td>380.029<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/14<br />
| |
| </td>
| |
| <td>380.093<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/11<br />
| |
| </td>
| |
| <td>380.113 (15 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14/11<br />
| |
| </td>
| |
| <td>380.119 (13 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/10<br />
| |
| </td>
| |
| <td>380.156<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 -106 -111 11 179 59&gt;<br />
| |
| </td>
| |
| <td>380.193 (15 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>32\101<br />
| |
| </td>
| |
| <td>380.198<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 -67 -72 5 152 47&gt;<br />
| |
| </td>
| |
| <td>380.218 (13 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7/5<br />
| |
| </td>
| |
| <td>380.228<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 -38 -55 11 137&gt;<br />
| |
| </td>
| |
| <td>380.278 (11 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/9<br />
| |
| </td>
| |
| <td>380.322<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12/11<br />
| |
| </td>
| |
| <td>380.334<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/8<br />
| |
| </td>
| |
| <td>380.343 (11 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 36 -23 32&gt;<br />
| |
| </td>
| |
| <td>380.384 (9 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4/3<br />
| |
| </td>
| |
| <td>380.391 (5, 7 and 9 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13\41<br />
| |
| </td>
| |
| <td>380.488<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/11<br />
| |
| </td>
| |
| <td>380.719<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>8/7<br />
| |
| </td>
| |
| <td>380.735<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>33\104<br />
| |
| </td>
| |
| <td>380.769<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>20\63<br />
| |
| </td>
| |
| <td>380.952<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7/6<br />
| |
| </td>
| |
| <td>380.982<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16/15<br />
| |
| </td>
| |
| <td>381.378<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7\22<br />
| |
| </td>
| |
| <td>381.818<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9/7<br />
| |
| </td>
| |
| <td>382.458<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5/4<br />
| |
| </td>
| |
| <td>386.314<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
| <br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Tuning Spectra-Spectrum of Muggles Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:12 -->Spectrum of Muggles Tunings by Eigenmonzos</h2>
| |
| <br />
| |
| Gencom: [2 5/4; 45/44 65/64 78/77 126/125]<br />
| |
| Gencom map: [&lt;1 0 2 5 0 4|, &lt;0 5 1 -7 11 -1|]<br />
| |
|
| |
|
| |
| <table class="wiki_table">
| |
| <tr>
| |
| <th>Eigenmonzo<br />
| |
| </th>
| |
| <th>Major Third<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td>11/9<br />
| |
| </td>
| |
| <td>347.408<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16/13<br />
| |
| </td>
| |
| <td>359.472<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/11<br />
| |
| </td>
| |
| <td>372.610<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/10<br />
| |
| </td>
| |
| <td>372.893<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12/11<br />
| |
| </td>
| |
| <td>374.894<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>8/7<br />
| |
| </td>
| |
| <td>375.882<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/11<br />
| |
| </td>
| |
| <td>375.899<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/10<br />
| |
| </td>
| |
| <td>376.500<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14/11<br />
| |
| </td>
| |
| <td>376.805<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/12<br />
| |
| </td>
| |
| <td>376.905<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7/5<br />
| |
| </td>
| |
| <td>377.186<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/8<br />
| |
| </td>
| |
| <td>377.393 (11, 13 and 15 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 113 -12 -68 58 -26&gt;<br />
| |
| </td>
| |
| <td>377.630 (13 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 -21 -5 27&gt;<br />
| |
| </td>
| |
| <td>377.640 (7 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 134 9 -81 63 -33&gt;<br />
| |
| </td>
| |
| <td>377.718 (15 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 85 -14 -62 46&gt;<br />
| |
| </td>
| |
| <td>377.758 (11 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7/6<br />
| |
| </td>
| |
| <td>377.761 (7 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/13<br />
| |
| </td>
| |
| <td>378.249<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/14<br />
| |
| </td>
| |
| <td>378.419<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18/13<br />
| |
| </td>
| |
| <td>378.489<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9/7<br />
| |
| </td>
| |
| <td>378.534 (9 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 93 -4 -44&gt;<br />
| |
| </td>
| |
| <td>378.554 (9 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14/13<br />
| |
| </td>
| |
| <td>378.617<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6/5<br />
| |
| </td>
| |
| <td>378.910<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6\19<br />
| |
| </td>
| |
| <td>378.947<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10/9<br />
| |
| </td>
| |
| <td>379.733<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>27/20<br />
| |
| </td>
| |
| <td>379.968 (5 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>19\60<br />
| |
| </td>
| |
| <td>380.000<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>32\101<br />
| |
| </td>
| |
| <td>380.198<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4/3<br />
| |
| </td>
| |
| <td>380.391 (5 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13\41<br />
| |
| </td>
| |
| <td>380.488<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>33\104<br />
| |
| </td>
| |
| <td>380.769<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>20\63<br />
| |
| </td>
| |
| <td>380.952<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16/15<br />
| |
| </td>
| |
| <td>381.378<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7\22<br />
| |
| </td>
| |
| <td>381.818<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5/4<br />
| |
| </td>
| |
| <td>386.314<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| </body></html></pre></div> | | {| class="wikitable" |
| | |- |
| | ! | Eigenmonzo |
| | ! | Major Third |
| | |- |
| | | | 11/9 |
| | | | 347.408 |
| | |- |
| | | | 16/13 |
| | | | 359.472 |
| | |- |
| | | | 15/11 |
| | | | 372.610 |
| | |- |
| | | | 13/10 |
| | | | 372.893 |
| | |- |
| | | | 12/11 |
| | | | 374.894 |
| | |- |
| | | | 8/7 |
| | | | 375.882 |
| | |- |
| | | | 13/11 |
| | | | 375.899 |
| | |- |
| | | | 11/10 |
| | | | 376.500 |
| | |- |
| | | | 14/11 |
| | | | 376.805 |
| | |- |
| | | | 13/12 |
| | | | 376.905 |
| | |- |
| | | | 7/5 |
| | | | 377.186 |
| | |- |
| | | | 11/8 |
| | | | 377.393 (11, 13 and 15 limit minimax) |
| | |- |
| | | | |0 113 -12 -68 58 -26> |
| | | | 377.630 (13 limit least squares) |
| | |- |
| | | | |0 -21 -5 27> |
| | | | 377.640 (7 limit least squares) |
| | |- |
| | | | |0 134 9 -81 63 -33> |
| | | | 377.718 (15 limit least squares) |
| | |- |
| | | | |0 85 -14 -62 46> |
| | | | 377.758 (11 limit least squares) |
| | |- |
| | | | 7/6 |
| | | | 377.761 (7 limit minimax) |
| | |- |
| | | | 15/13 |
| | | | 378.249 |
| | |- |
| | | | 15/14 |
| | | | 378.419 |
| | |- |
| | | | 18/13 |
| | | | 378.489 |
| | |- |
| | | | 9/7 |
| | | | 378.534 (9 limit minimax) |
| | |- |
| | | | |0 93 -4 -44> |
| | | | 378.554 (9 limit least squares) |
| | |- |
| | | | 14/13 |
| | | | 378.617 |
| | |- |
| | | | 6/5 |
| | | | 378.910 |
| | |- |
| | | | 6\19 |
| | | | 378.947 |
| | |- |
| | | | 10/9 |
| | | | 379.733 |
| | |- |
| | | | 27/20 |
| | | | 379.968 (5 limit least squares) |
| | |- |
| | | | 19\60 |
| | | | 380.000 |
| | |- |
| | | | 32\101 |
| | | | 380.198 |
| | |- |
| | | | 4/3 |
| | | | 380.391 (5 limit minimax) |
| | |- |
| | | | 13\41 |
| | | | 380.488 |
| | |- |
| | | | 33\104 |
| | | | 380.769 |
| | |- |
| | | | 20\63 |
| | | | 380.952 |
| | |- |
| | | | 16/15 |
| | | | 381.378 |
| | |- |
| | | | 7\22 |
| | | | 381.818 |
| | |- |
| | | | 5/4 |
| | | | 386.314 |
| | |} |