Garibaldi
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Original Wikitext content:
Garibaldi is a 7-limit (and higher) temperament of the [[schismatic family#Garibaldi]]. It is an extension of [[helmholtz]] temperament beyond the 5 limit but with the same simple chain-of-fifths structure (so that standard notation may be used). As in helmholtz temperament, 5/4 is mapped to the diminished fourth (e.g. A-Db), and the new mapping specific to garibaldi is that 7/4 is mapped to the double diminished octave (e.g. A-Abb). This makes garibaldi a [[marvel temperaments|marvel temperament]]. =Spectrum of Garibaldi Tunings by Eigenmonzos= ||~ Eigenmonzo ||~ Fifth || || 16/15 || 701.676 || || 69\118 || 701.695 || || 5/4 || 701.711 || || [0 -10 17> || 701.728 (5 limit least squares) || || 6/5 || 701.738 (5 limit minimax) || || 100\171 || 701.754 || || 10/9 || 701.760 || || 31\53 || 701.887 || || 15/13 || 701.9355 || || 13/10 || 701.9362 || || 4/3 || 701.955 || || 16/13 || 702.026 || || 13/12 || 702.030 || || 18/13 || 702.034 || || 86\147 || 702.041 || || 11/10 || 702.097 || || 15/11 || 702.102 || || 14/13 || 702.109 (13 and 15 limit minimax) || || [0 -95 -137 -129 167 143> || 702.112 (15 limit least squares) || || [0 -27 7 17> || 702.114 (9 limit least squares) || || 55\94 || 702.12766 || || [0 -38 -80 -122 137 116> || 702.12770 (13 limit least squares) || || [0 -25 11 35> || 702.140 (7 limit least squares) || || [0 17 -52 -88 134> || 702.183 (11 limit least squares) || || 9/7 || 702.193 (9 and 11 limit minimax) || || 7/6 || 702.209 (7 limit minimax) || || 79\135 || 702.222 || || 8/7 || 702.227 || || 14/11 || 702.230 || || 11/8 || 702.231 || || 12/11 || 702.244 || || 11/9 || 702.258 || || 24\41 || 702.439 || || 15/14 || 702.778 || || 7/5 || 702.915 || || 17\29 || 703.448 || || 13/11 || 703.597 ||
Original HTML content:
<html><head><title>Garibaldi temperament</title></head><body>Garibaldi is a 7-limit (and higher) temperament of the <a class="wiki_link" href="/schismatic%20family#Garibaldi">schismatic family</a>. It is an extension of <a class="wiki_link" href="/helmholtz">helmholtz</a> temperament beyond the 5 limit but with the same simple chain-of-fifths structure (so that standard notation may be used). As in helmholtz temperament, 5/4 is mapped to the diminished fourth (e.g. A-Db), and the new mapping specific to garibaldi is that 7/4 is mapped to the double diminished octave (e.g. A-Abb). This makes garibaldi a <a class="wiki_link" href="/marvel%20temperaments">marvel temperament</a>.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Spectrum of Garibaldi Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:0 -->Spectrum of Garibaldi Tunings by Eigenmonzos</h1>
<table class="wiki_table">
<tr>
<th>Eigenmonzo<br />
</th>
<th>Fifth<br />
</th>
</tr>
<tr>
<td>16/15<br />
</td>
<td>701.676<br />
</td>
</tr>
<tr>
<td>69\118<br />
</td>
<td>701.695<br />
</td>
</tr>
<tr>
<td>5/4<br />
</td>
<td>701.711<br />
</td>
</tr>
<tr>
<td>[0 -10 17><br />
</td>
<td>701.728 (5 limit least squares)<br />
</td>
</tr>
<tr>
<td>6/5<br />
</td>
<td>701.738 (5 limit minimax)<br />
</td>
</tr>
<tr>
<td>100\171<br />
</td>
<td>701.754<br />
</td>
</tr>
<tr>
<td>10/9<br />
</td>
<td>701.760<br />
</td>
</tr>
<tr>
<td>31\53<br />
</td>
<td>701.887<br />
</td>
</tr>
<tr>
<td>15/13<br />
</td>
<td>701.9355<br />
</td>
</tr>
<tr>
<td>13/10<br />
</td>
<td>701.9362<br />
</td>
</tr>
<tr>
<td>4/3<br />
</td>
<td>701.955<br />
</td>
</tr>
<tr>
<td>16/13<br />
</td>
<td>702.026<br />
</td>
</tr>
<tr>
<td>13/12<br />
</td>
<td>702.030<br />
</td>
</tr>
<tr>
<td>18/13<br />
</td>
<td>702.034<br />
</td>
</tr>
<tr>
<td>86\147<br />
</td>
<td>702.041<br />
</td>
</tr>
<tr>
<td>11/10<br />
</td>
<td>702.097<br />
</td>
</tr>
<tr>
<td>15/11<br />
</td>
<td>702.102<br />
</td>
</tr>
<tr>
<td>14/13<br />
</td>
<td>702.109 (13 and 15 limit minimax)<br />
</td>
</tr>
<tr>
<td>[0 -95 -137 -129 167 143><br />
</td>
<td>702.112 (15 limit least squares)<br />
</td>
</tr>
<tr>
<td>[0 -27 7 17><br />
</td>
<td>702.114 (9 limit least squares)<br />
</td>
</tr>
<tr>
<td>55\94<br />
</td>
<td>702.12766<br />
</td>
</tr>
<tr>
<td>[0 -38 -80 -122 137 116><br />
</td>
<td>702.12770 (13 limit least squares)<br />
</td>
</tr>
<tr>
<td>[0 -25 11 35><br />
</td>
<td>702.140 (7 limit least squares)<br />
</td>
</tr>
<tr>
<td>[0 17 -52 -88 134><br />
</td>
<td>702.183 (11 limit least squares)<br />
</td>
</tr>
<tr>
<td>9/7<br />
</td>
<td>702.193 (9 and 11 limit minimax)<br />
</td>
</tr>
<tr>
<td>7/6<br />
</td>
<td>702.209 (7 limit minimax)<br />
</td>
</tr>
<tr>
<td>79\135<br />
</td>
<td>702.222<br />
</td>
</tr>
<tr>
<td>8/7<br />
</td>
<td>702.227<br />
</td>
</tr>
<tr>
<td>14/11<br />
</td>
<td>702.230<br />
</td>
</tr>
<tr>
<td>11/8<br />
</td>
<td>702.231<br />
</td>
</tr>
<tr>
<td>12/11<br />
</td>
<td>702.244<br />
</td>
</tr>
<tr>
<td>11/9<br />
</td>
<td>702.258<br />
</td>
</tr>
<tr>
<td>24\41<br />
</td>
<td>702.439<br />
</td>
</tr>
<tr>
<td>15/14<br />
</td>
<td>702.778<br />
</td>
</tr>
<tr>
<td>7/5<br />
</td>
<td>702.915<br />
</td>
</tr>
<tr>
<td>17\29<br />
</td>
<td>703.448<br />
</td>
</tr>
<tr>
<td>13/11<br />
</td>
<td>703.597<br />
</td>
</tr>
</table>
</body></html>