Magic extensions
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2012-11-17 11:39:32 UTC.
- The original revision id was 383550892.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
=Tuning Spectra= ==Spectrum of Magic Tunings by Eigenmonzos== 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|] ||~ 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 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 || ==Spectrum of Sorcery Tunings by Eigenmonzos== 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|] ||~ 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== 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|] ||~ 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== 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|] ||~ 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== 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|] ||~ 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 ||
Original HTML content:
<html><head><title>Magic extensions</title></head><body><br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Tuning Spectra"></a><!-- ws:end:WikiTextHeadingRule:0 -->Tuning Spectra</h1>
<!-- ws:start:WikiTextHeadingRule:2:<h2> --><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: [<1 0 2 -1 6 -2|, <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><br />
</td>
<td>380.377 (13 limit least squares)<br />
</td>
</tr>
<tr>
<td>|0 36 -23 32><br />
</td>
<td>380.384 (9 limit least squares)<br />
</td>
</tr>
<tr>
<td>|0 58 -29 52 -108 100><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><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><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>
<td><br />
</td>
<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:<h2> --><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: [<1 0 2 -1 6 11|, <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><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><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><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>
<td><br />
</td>
<td>|0 -179 -10 -87 53 158><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><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:<h2> --><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: [<1 0 2 -1 6 4|, <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><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><br />
</td>
<td>380.427 (13 limit least squares)<br />
</td>
</tr>
<tr>
<td>|0 134 9 71 -89 -33><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><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><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>
<td><br />
</td>
<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:<h2> --><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: [<1 0 2 -1 -1 4|, <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><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><br />
</td>
<td>380.506 (7 limit least squares)<br />
</td>
</tr>
<tr>
<td>|0 47 -34 43 57 -48><br />
</td>
<td>380.676 (13 limit least squares)<br />
</td>
</tr>
<tr>
<td>|0 46 -35 49 65 -55><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>
<td><br />
</td>
<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><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:<h2> --><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: [<1 0 2 -1 -7 -2|, <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><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><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><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><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>
<td><br />
</td>
<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:<h2> --><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: [<1 0 2 5 0 4|, <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><br />
</td>
<td>377.630 (13 limit least squares)<br />
</td>
</tr>
<tr>
<td>|0 -21 -5 27><br />
</td>
<td>377.640 (7 limit least squares)<br />
</td>
</tr>
<tr>
<td>|0 134 9 -81 63 -33><br />
</td>
<td>377.718 (15 limit least squares)<br />
</td>
</tr>
<tr>
<td>|0 85 -14 -62 46><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><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>
<td><br />
</td>
<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>