Pajara 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 2012-11-15 14:52:18 UTC.
- The original revision id was 382976328.
- 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 Pajara Tunings by Eigenmonzos== [[Gencom]]: [7/5 3/2; 50/49 64/63 65/63 99/98] [[Gencom map]]: [<2 2 7 8 14 5|, <0 1 -2 -2 -6 2|] ||~ Eigenmonzo ||~ Fifth || || 4/3 || 701.955 || || 14/11 || 704.377 || || 10/9 || 704.399 || || 6/5 || 705.214 (5 limit minimax) || || 3125/2592 || 705.447 (5 limit least squares) || || 20\34 || 705.882 || || 11/9 || 706.574 || || 5/4 || 706.843 || || |0 -50 5 5 29> || 707.106 (11 limit least squares) || || 33\56 || 707.143 || || 12/11 || 707.234 || || 35/27 || 707.246 (9 limit least squares) || || 15/11 || 707.390 || || 11/8 || 708.114 || || 11/10 || 708.749 (11 limit minimax) || || 9/7 || 708.771 (9 limit minimax) || || 71663616/52521875 || 708.814 (7 limit least squares) || || |0 -49 9 9 37 -19> || 708.901 (13 limit least squares) || || |0 -51 7 10 42 -22> || 709.038 (15 limit least squares) || || 13\22 || 709.091 || || 7/6 || 711.043 (7 limit minimax) || || 32\54 || 711.111 || || 13/11 || 711.151 (13 and 15 limit minimax) || || 16/15 || 711.731 || || 19\32 || 712.500 || || 13/10 || 713.553 || || 8/7 || 715.587 || || 15/13 || 717.420 || || 14/13 || 717.925 || || 15/14 || 719.443 || || 16/13 || 720.264 || || 13/12 || 738.573 || ==Spectrum of Pajarous Tunings by Eigenmonzos== [[Gencom]]: [7/5 3/2; 50/49 55/54 64/63 65/63] [[Gencom map]]: [<2 2 7 8 1 5|, <0 1 -2 -2 5 2|] ||~ Eigenmonzo ||~ Fifth || || 4/3 || 701.955 || || 13/11 || 703.597 || || 10/9 || 704.399 || || 6/5 || 705.214 (5 limit minimax) || || 3125/2592 || 705.447 (5 limit least squares) || || 20\34 || 705.882 || || 5/4 || 706.843 || || 33\56 || 707.143 || || 35/27 || 707.246 (9 limit least squares) || || 9/7 || 708.771 (9, 13 and 15 limit minimax) || || 71663616/52521875 || 708.814 (7 limit least squares) || || 13\22 || 709.091 || || 11/10 || 709.286 (11 limit minimax) || || |0 17 -16 -16 26> || 709.883 (11 limit least squares) || || 11/8 || 710.264 || || 15/11 || 710.508 || || |0 16 -20 -20 29 8> || 710.665 (13 limit least squares) || || |0 7 -29 -21 35 11> || 710.879 (15 limit least squares) || || 7/6 || 711.043 (7 limit minimax) || || 32\54 || 711.111 || || 16/15 || 711.731 || || 14/11 || 711.785 || || 12/11 || 712.341 || || 19\32 || 712.500 || || 13/10 || 713.553 || || 8/7 || 715.587 || || 11/9 || 715.803 || || 15/13 || 717.420 || || 14/13 || 717.925 || || 15/14 || 719.443 || || 16/13 || 720.264 || || 13/12 || 738.573 || ==Spectrum of Pajaro Tunings by Eigenmonzos== [[Gencom]]: [7/5 3/2; 40/39 50/49 55/54 64/63] [[Gencom map]]: [<2 2 7 8 1 11|, <0 1 -2 -2 5 -3|] ||~ Eigenmonzo ||~ Fifth || || 4/3 || 701.955 || || 10/9 || 704.399 || || 6/5 || 705.214 (5 limit minimax) || || 3125/2592 || 705.447 (5 limit least squares) || || 20\34 || 705.882 || || 5/4 || 706.843 || || 33\56 || 707.143 || || 35/27 || 707.246 (9 limit least squares) || || 9/7 || 708.771 (9 limit minimax) || || 71663616/52521875 || 708.814 (7 limit least squares) || || 13\22 || 709.091 || || 11/10 || 709.286 (11 limit minimax) || || |0 17 -16 -16 26> || 709.883 (11 limit least squares) || || 11/8 || 710.264 || || 15/11 || 710.508 || || 7/6 || 711.043 (7 limit minimax) || || 32\54 || 711.111 || || |0 31 -15 -15 34 -22> || 711.580 (13 limit least squares) || || |0 27 -19 -16 40 -24> || 711.631 (15 limit least squares) || || 16/15 || 711.731 || || 14/11 || 711.785 || || 12/11 || 712.341 || || 19\32 || 712.500 || || 18/13 || 712.676 (13 and 15 limit minimax) || || 13/11 || 713.849 || || 13/12 || 715.357 || || 8/7 || 715.587 || || 11/9 || 715.803 || || 15/14 || 719.443 || || 16/13 || 719.824 || || 15/13 || 723.871 || || 14/13 || 728.298 || || 13/10 || 745.786 || ==Spectrum of Pajaric Tunings by Eigenmonzos== [[Gencom]]: [7/5 3/2; 40/39 45/44 50/49 56/55] [[Gencom map]]: [<2 2 7 8 7 11|, <0 1 -2 -2 0 -3|] ||~ Eigenmonzo ||~ Fifth || || 15/11 || 663.049 || || 11/10 || 682.502 || || 14/11 || 691.246 || || 4/3 || 701.955 || || 13/11 || 703.597 || || 10/9 || 704.399 || || 6/5 || 705.214 (5 limit minimax) || || 3125/2592 || 705.447 (5 limit least squares) || || 20\34 || 705.882 || || |0 -32 11 11 -1> || 706.676 (11 limit least squares) || || 5/4 || 706.843 (11, 13 and 15 limit minimax) || || 33\56 || 707.143 || || 35/27 || 707.246 (9 limit least squares) || || 9/7 || 708.771 (9 limit minimax) || || 71663616/52521875 || 708.814 (7 limit least squares) || || 13\22 || 709.091 || || |0 -46 10 10 -4 17> || 709.889 (13 limit least squares) || || |0 -47 9 11 -5 19> || 710.032 (15 limit least squares) || || 7/6 || 711.043 (7 limit minimax) || || 32\54 || 711.111 || || 16/15 || 711.731 || || 19\32 || 712.500 || || 18/13 || 712.676 || || 13/12 || 715.357 || || 8/7 || 715.587 || || 15/14 || 719.443 || || 16/13 || 719.824 || || 15/13 || 723.871 || || 11/9 || 726.296 || || 14/13 || 728.298 || || 13/10 || 745.786 || || 12/11 || 750.637 ||
Original HTML content:
<html><head><title>Pajara 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 Pajara Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:2 -->Spectrum of Pajara Tunings by Eigenmonzos</h2>
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [7/5 3/2; 50/49 64/63 65/63 99/98]<br />
<a class="wiki_link" href="/Gencom%20map">Gencom map</a>: [<2 2 7 8 14 5|, <0 1 -2 -2 -6 2|]<br />
<table class="wiki_table">
<tr>
<th>Eigenmonzo<br />
</th>
<th>Fifth<br />
</th>
</tr>
<tr>
<td>4/3<br />
</td>
<td>701.955<br />
</td>
</tr>
<tr>
<td>14/11<br />
</td>
<td>704.377<br />
</td>
</tr>
<tr>
<td>10/9<br />
</td>
<td>704.399<br />
</td>
</tr>
<tr>
<td>6/5<br />
</td>
<td>705.214 (5 limit minimax)<br />
</td>
</tr>
<tr>
<td>3125/2592<br />
</td>
<td>705.447 (5 limit least squares)<br />
</td>
</tr>
<tr>
<td>20\34<br />
</td>
<td>705.882<br />
</td>
</tr>
<tr>
<td>11/9<br />
</td>
<td>706.574<br />
</td>
</tr>
<tr>
<td>5/4<br />
</td>
<td>706.843<br />
</td>
</tr>
<tr>
<td>|0 -50 5 5 29><br />
</td>
<td>707.106 (11 limit least squares)<br />
</td>
</tr>
<tr>
<td>33\56<br />
</td>
<td>707.143<br />
</td>
</tr>
<tr>
<td>12/11<br />
</td>
<td>707.234<br />
</td>
</tr>
<tr>
<td>35/27<br />
</td>
<td>707.246 (9 limit least squares)<br />
</td>
</tr>
<tr>
<td>15/11<br />
</td>
<td>707.390<br />
</td>
</tr>
<tr>
<td>11/8<br />
</td>
<td>708.114<br />
</td>
</tr>
<tr>
<td>11/10<br />
</td>
<td>708.749 (11 limit minimax)<br />
</td>
</tr>
<tr>
<td>9/7<br />
</td>
<td>708.771 (9 limit minimax)<br />
</td>
</tr>
<tr>
<td>71663616/52521875<br />
</td>
<td>708.814 (7 limit least squares)<br />
</td>
</tr>
<tr>
<td>|0 -49 9 9 37 -19><br />
</td>
<td>708.901 (13 limit least squares)<br />
</td>
</tr>
<tr>
<td>|0 -51 7 10 42 -22><br />
</td>
<td>709.038 (15 limit least squares)<br />
</td>
</tr>
<tr>
<td>13\22<br />
</td>
<td>709.091<br />
</td>
</tr>
<tr>
<td>7/6<br />
</td>
<td>711.043 (7 limit minimax)<br />
</td>
</tr>
<tr>
<td>32\54<br />
</td>
<td>711.111<br />
</td>
</tr>
<tr>
<td>13/11<br />
</td>
<td>711.151 (13 and 15 limit minimax)<br />
</td>
</tr>
<tr>
<td>16/15<br />
</td>
<td>711.731<br />
</td>
</tr>
<tr>
<td>19\32<br />
</td>
<td>712.500<br />
</td>
</tr>
<tr>
<td>13/10<br />
</td>
<td>713.553<br />
</td>
</tr>
<tr>
<td>8/7<br />
</td>
<td>715.587<br />
</td>
</tr>
<tr>
<td>15/13<br />
</td>
<td>717.420<br />
</td>
</tr>
<tr>
<td>14/13<br />
</td>
<td>717.925<br />
</td>
</tr>
<tr>
<td>15/14<br />
</td>
<td>719.443<br />
</td>
</tr>
<tr>
<td>16/13<br />
</td>
<td>720.264<br />
</td>
</tr>
<tr>
<td>13/12<br />
</td>
<td>738.573<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Tuning Spectra-Spectrum of Pajarous Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:4 -->Spectrum of Pajarous Tunings by Eigenmonzos</h2>
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [7/5 3/2; 50/49 55/54 64/63 65/63]<br />
<a class="wiki_link" href="/Gencom%20map">Gencom map</a>: [<2 2 7 8 1 5|, <0 1 -2 -2 5 2|]<br />
<table class="wiki_table">
<tr>
<th>Eigenmonzo<br />
</th>
<th>Fifth<br />
</th>
</tr>
<tr>
<td>4/3<br />
</td>
<td>701.955<br />
</td>
</tr>
<tr>
<td>13/11<br />
</td>
<td>703.597<br />
</td>
</tr>
<tr>
<td>10/9<br />
</td>
<td>704.399<br />
</td>
</tr>
<tr>
<td>6/5<br />
</td>
<td>705.214 (5 limit minimax)<br />
</td>
</tr>
<tr>
<td>3125/2592<br />
</td>
<td>705.447 (5 limit least squares)<br />
</td>
</tr>
<tr>
<td>20\34<br />
</td>
<td>705.882<br />
</td>
</tr>
<tr>
<td>5/4<br />
</td>
<td>706.843<br />
</td>
</tr>
<tr>
<td>33\56<br />
</td>
<td>707.143<br />
</td>
</tr>
<tr>
<td>35/27<br />
</td>
<td>707.246 (9 limit least squares)<br />
</td>
</tr>
<tr>
<td>9/7<br />
</td>
<td>708.771 (9, 13 and 15 limit minimax)<br />
</td>
</tr>
<tr>
<td>71663616/52521875<br />
</td>
<td>708.814 (7 limit least squares)<br />
</td>
</tr>
<tr>
<td>13\22<br />
</td>
<td>709.091<br />
</td>
</tr>
<tr>
<td>11/10<br />
</td>
<td>709.286 (11 limit minimax)<br />
</td>
</tr>
<tr>
<td>|0 17 -16 -16 26><br />
</td>
<td>709.883 (11 limit least squares)<br />
</td>
</tr>
<tr>
<td>11/8<br />
</td>
<td>710.264<br />
</td>
</tr>
<tr>
<td>15/11<br />
</td>
<td>710.508<br />
</td>
</tr>
<tr>
<td>|0 16 -20 -20 29 8><br />
</td>
<td>710.665 (13 limit least squares)<br />
</td>
</tr>
<tr>
<td>|0 7 -29 -21 35 11><br />
</td>
<td>710.879 (15 limit least squares)<br />
</td>
</tr>
<tr>
<td>7/6<br />
</td>
<td>711.043 (7 limit minimax)<br />
</td>
</tr>
<tr>
<td>32\54<br />
</td>
<td>711.111<br />
</td>
</tr>
<tr>
<td>16/15<br />
</td>
<td>711.731<br />
</td>
</tr>
<tr>
<td>14/11<br />
</td>
<td>711.785<br />
</td>
</tr>
<tr>
<td>12/11<br />
</td>
<td>712.341<br />
</td>
</tr>
<tr>
<td>19\32<br />
</td>
<td>712.500<br />
</td>
</tr>
<tr>
<td>13/10<br />
</td>
<td>713.553<br />
</td>
</tr>
<tr>
<td>8/7<br />
</td>
<td>715.587<br />
</td>
</tr>
<tr>
<td>11/9<br />
</td>
<td>715.803<br />
</td>
</tr>
<tr>
<td>15/13<br />
</td>
<td>717.420<br />
</td>
</tr>
<tr>
<td>14/13<br />
</td>
<td>717.925<br />
</td>
</tr>
<tr>
<td>15/14<br />
</td>
<td>719.443<br />
</td>
</tr>
<tr>
<td>16/13<br />
</td>
<td>720.264<br />
</td>
</tr>
<tr>
<td>13/12<br />
</td>
<td>738.573<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="Tuning Spectra-Spectrum of Pajaro Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:6 -->Spectrum of Pajaro Tunings by Eigenmonzos</h2>
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [7/5 3/2; 40/39 50/49 55/54 64/63]<br />
<a class="wiki_link" href="/Gencom%20map">Gencom map</a>: [<2 2 7 8 1 11|, <0 1 -2 -2 5 -3|]<br />
<table class="wiki_table">
<tr>
<th>Eigenmonzo<br />
</th>
<th>Fifth<br />
</th>
</tr>
<tr>
<td>4/3<br />
</td>
<td>701.955<br />
</td>
</tr>
<tr>
<td>10/9<br />
</td>
<td>704.399<br />
</td>
</tr>
<tr>
<td>6/5<br />
</td>
<td>705.214 (5 limit minimax)<br />
</td>
</tr>
<tr>
<td>3125/2592<br />
</td>
<td>705.447 (5 limit least squares)<br />
</td>
</tr>
<tr>
<td>20\34<br />
</td>
<td>705.882<br />
</td>
</tr>
<tr>
<td>5/4<br />
</td>
<td>706.843<br />
</td>
</tr>
<tr>
<td>33\56<br />
</td>
<td>707.143<br />
</td>
</tr>
<tr>
<td>35/27<br />
</td>
<td>707.246 (9 limit least squares)<br />
</td>
</tr>
<tr>
<td>9/7<br />
</td>
<td>708.771 (9 limit minimax)<br />
</td>
</tr>
<tr>
<td>71663616/52521875<br />
</td>
<td>708.814 (7 limit least squares)<br />
</td>
</tr>
<tr>
<td>13\22<br />
</td>
<td>709.091<br />
</td>
</tr>
<tr>
<td>11/10<br />
</td>
<td>709.286 (11 limit minimax)<br />
</td>
</tr>
<tr>
<td>|0 17 -16 -16 26><br />
</td>
<td>709.883 (11 limit least squares)<br />
</td>
</tr>
<tr>
<td>11/8<br />
</td>
<td>710.264<br />
</td>
</tr>
<tr>
<td>15/11<br />
</td>
<td>710.508<br />
</td>
</tr>
<tr>
<td>7/6<br />
</td>
<td>711.043 (7 limit minimax)<br />
</td>
</tr>
<tr>
<td>32\54<br />
</td>
<td>711.111<br />
</td>
</tr>
<tr>
<td>|0 31 -15 -15 34 -22><br />
</td>
<td>711.580 (13 limit least squares)<br />
</td>
</tr>
<tr>
<td>|0 27 -19 -16 40 -24><br />
</td>
<td>711.631 (15 limit least squares)<br />
</td>
</tr>
<tr>
<td>16/15<br />
</td>
<td>711.731<br />
</td>
</tr>
<tr>
<td>14/11<br />
</td>
<td>711.785<br />
</td>
</tr>
<tr>
<td>12/11<br />
</td>
<td>712.341<br />
</td>
</tr>
<tr>
<td>19\32<br />
</td>
<td>712.500<br />
</td>
</tr>
<tr>
<td>18/13<br />
</td>
<td>712.676 (13 and 15 limit minimax)<br />
</td>
</tr>
<tr>
<td>13/11<br />
</td>
<td>713.849<br />
</td>
</tr>
<tr>
<td>13/12<br />
</td>
<td>715.357<br />
</td>
</tr>
<tr>
<td>8/7<br />
</td>
<td>715.587<br />
</td>
</tr>
<tr>
<td>11/9<br />
</td>
<td>715.803<br />
</td>
</tr>
<tr>
<td>15/14<br />
</td>
<td>719.443<br />
</td>
</tr>
<tr>
<td>16/13<br />
</td>
<td>719.824<br />
</td>
</tr>
<tr>
<td>15/13<br />
</td>
<td>723.871<br />
</td>
</tr>
<tr>
<td>14/13<br />
</td>
<td>728.298<br />
</td>
</tr>
<tr>
<td>13/10<br />
</td>
<td>745.786<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Tuning Spectra-Spectrum of Pajaric Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:8 -->Spectrum of Pajaric Tunings by Eigenmonzos</h2>
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [7/5 3/2; 40/39 45/44 50/49 56/55]<br />
<a class="wiki_link" href="/Gencom%20map">Gencom map</a>: [<2 2 7 8 7 11|, <0 1 -2 -2 0 -3|]<br />
<table class="wiki_table">
<tr>
<th>Eigenmonzo<br />
</th>
<th>Fifth<br />
</th>
</tr>
<tr>
<td>15/11<br />
</td>
<td>663.049<br />
</td>
</tr>
<tr>
<td>11/10<br />
</td>
<td>682.502<br />
</td>
</tr>
<tr>
<td>14/11<br />
</td>
<td>691.246<br />
</td>
</tr>
<tr>
<td>4/3<br />
</td>
<td>701.955<br />
</td>
</tr>
<tr>
<td>13/11<br />
</td>
<td>703.597<br />
</td>
</tr>
<tr>
<td>10/9<br />
</td>
<td>704.399<br />
</td>
</tr>
<tr>
<td>6/5<br />
</td>
<td>705.214 (5 limit minimax)<br />
</td>
</tr>
<tr>
<td>3125/2592<br />
</td>
<td>705.447 (5 limit least squares)<br />
</td>
</tr>
<tr>
<td>20\34<br />
</td>
<td>705.882<br />
</td>
</tr>
<tr>
<td>|0 -32 11 11 -1><br />
</td>
<td>706.676 (11 limit least squares)<br />
</td>
</tr>
<tr>
<td>5/4<br />
</td>
<td>706.843 (11, 13 and 15 limit minimax)<br />
</td>
</tr>
<tr>
<td>33\56<br />
</td>
<td>707.143<br />
</td>
</tr>
<tr>
<td>35/27<br />
</td>
<td>707.246 (9 limit least squares)<br />
</td>
</tr>
<tr>
<td>9/7<br />
</td>
<td>708.771 (9 limit minimax)<br />
</td>
</tr>
<tr>
<td>71663616/52521875<br />
</td>
<td>708.814 (7 limit least squares)<br />
</td>
</tr>
<tr>
<td>13\22<br />
</td>
<td>709.091<br />
</td>
</tr>
<tr>
<td>|0 -46 10 10 -4 17><br />
</td>
<td>709.889 (13 limit least squares)<br />
</td>
</tr>
<tr>
<td>|0 -47 9 11 -5 19><br />
</td>
<td>710.032 (15 limit least squares)<br />
</td>
</tr>
<tr>
<td>7/6<br />
</td>
<td>711.043 (7 limit minimax)<br />
</td>
</tr>
<tr>
<td>32\54<br />
</td>
<td>711.111<br />
</td>
</tr>
<tr>
<td>16/15<br />
</td>
<td>711.731<br />
</td>
</tr>
<tr>
<td>19\32<br />
</td>
<td>712.500<br />
</td>
</tr>
<tr>
<td>18/13<br />
</td>
<td>712.676<br />
</td>
</tr>
<tr>
<td>13/12<br />
</td>
<td>715.357<br />
</td>
</tr>
<tr>
<td>8/7<br />
</td>
<td>715.587<br />
</td>
</tr>
<tr>
<td>15/14<br />
</td>
<td>719.443<br />
</td>
</tr>
<tr>
<td>16/13<br />
</td>
<td>719.824<br />
</td>
</tr>
<tr>
<td>15/13<br />
</td>
<td>723.871<br />
</td>
</tr>
<tr>
<td>11/9<br />
</td>
<td>726.296<br />
</td>
</tr>
<tr>
<td>14/13<br />
</td>
<td>728.298<br />
</td>
</tr>
<tr>
<td>13/10<br />
</td>
<td>745.786<br />
</td>
</tr>
<tr>
<td>12/11<br />
</td>
<td>750.637<br />
</td>
</tr>
</table>
</body></html>