Negri extensions
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- This revision was by author genewardsmith and made on 2012-11-06 20:10:24 UTC.
- The original revision id was 379888772.
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Original Wikitext content:
[[Negri]] temperament has various extensions to the 11 limit. =Tuning Spectra= ==Spectrum of Negri Tunings by Eigenmonzos== Gencom: [2 15/14; 45/44 49/48 56/55 78/77] Gencom map: [<1 2 2 3 4 4|, <0 -4 3 -2 -5 -3|] ||~ Eigenmonzo ||~ Supersecor || || 16/15 || 111.731 || || 8/7 || 115.587 || || 11/9 || 115.803 || || 15/14 || 119.443 || || 16/13 || 119.824 || || 7/5 || 123.498 || || 15/13 || 123.871 || || 13/10 || 124.298 || || 4/3 || 124.511 (7 and 9 limit minimax) || || 10/9 || 125.673 || || 6/5 || 126.337 (5 limit minimax) || || 18/13 || 127.324 || || 9/7 || 127.486 (11, 13 and 15 limit minimax) || || 14/13 || 128.298 || || 5/4 || 128.771 || || 11/10 || 129.374 || || 11/8 || 129.736 || || 7/6 || 133.435 || || 15/11 || 134.238 || || 13/12 || 138.573 || || 14/11 || 139.169 || || 13/11 || 144.605 || || 12/11 || 150.637 || ==Spectrum of Negril Tunings by Eigenmonzos== Gencom: [2 15/14; 49/48 65/64 91/90 875/858] Gencom map: [<1 2 2 3 2 4|, <0 -4 3 -2 14 -3|] ||~ Eigenmonzo ||~ Supersecor || || 16/15 || 111.731 || || 8/7 || 115.587 || || 15/14 || 119.443 || || 16/13 || 119.824 || || 7/5 || 123.498 || || 15/13 || 123.871 || || 14/11 || 123.906 || || 11/10 || 124.091 || || 13/11 || 124.164 || || 15/11 || 124.203 || || 13/10 || 124.298 || || 4/3 || 124.511 (7, 9, 11, 13 and 15 limit minimax) || || 11/9 || 124.882 || || 12/11 || 124.965 || || 11/8 || 125.094 || || 10/9 || 125.673 || || 6/5 || 126.337 (5 limit minimax) || || 18/13 || 127.324 || || 9/7 || 127.486 || || 14/13 || 128.298 || || 5/4 || 128.771 || || 7/6 || 133.435 || || 13/12 || 138.573 || ==Spectrum of Negric Tunings by Eigenmonzos== Gencom: [2 15/14; 33/32 49/48 65/64 91/90] Gencom map: [<1 2 2 3 3 4|, <0 -4 3 -2 4 -3|] ||~ Eigenmonzo ||~ Supersecor || || 16/15 || 111.731 || || 8/7 || 115.587 || || 15/14 || 119.443 || || 16/13 || 119.824 || || 7/5 || 123.498 || || 15/13 || 123.871 || || 13/10 || 124.298 || || 4/3 || 124.511 (7 and 9 limit minimax) || || 10/9 || 125.673 || || 6/5 || 126.337 (5 limit minimax) || || 18/13 || 127.324 || || 9/7 || 127.486 || || 14/13 || 128.298 || || 5/4 || 128.771 || || 11/9 || 128.951 (11, 13 and 15 limit minimax) || || 13/11 || 130.113 || || 14/11 || 130.415 || || 12/11 || 131.170 || || 15/11 || 132.610 || || 7/6 || 133.435 || || 11/8 || 137.829 || || 13/12 || 138.573 || || 11/10 || 165.004 || ==Spectrum of Negroni Tunings by Eigenmonzos== Gencom: [2 15/14; 49/48 55/54 65/64 91/90] Gencom map: [<1 2 2 3 5 4|, <0 -4 3 -2 -15 -3|] ||~ Eigenmonzo ||~ Supersecor || || 16/15 || 111.731 || || 8/7 || 115.587 || || 15/14 || 119.443 || || 16/13 || 119.824 || || 11/9 || 121.799 (11, 13 and 15 limit minimax) || || 12/11 || 122.785 || || 11/8 || 123.245 || || 7/5 || 123.498 || || 15/13 || 123.871 || || 15/11 || 124.068 || || 13/11 || 124.101 || || 11/10 || 124.166 || || 13/10 || 124.298 || || 14/11 || 124.424 || || 4/3 || 124.511 (7 and 9 limit minimx) || || 10/9 || 125.673 || || 6/5 || 126.337 (5 limit minimax) || || 18/13 || 127.324 || || 9/7 || 127.486 || || 14/13 || 128.298 || || 5/4 || 128.771 || || 7/6 || 133.435 || || 13/12 || 138.573 ||
Original HTML content:
<html><head><title>Negri extensions</title></head><body><a class="wiki_link" href="/Negri">Negri</a> temperament has various extensions to the 11 limit.<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 Negri Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:2 -->Spectrum of Negri Tunings by Eigenmonzos</h2>
<br />
Gencom: [2 15/14; 45/44 49/48 56/55 78/77]<br />
Gencom map: [<1 2 2 3 4 4|, <0 -4 3 -2 -5 -3|]<br />
<table class="wiki_table">
<tr>
<th>Eigenmonzo<br />
</th>
<th>Supersecor<br />
</th>
</tr>
<tr>
<td>16/15<br />
</td>
<td>111.731<br />
</td>
</tr>
<tr>
<td>8/7<br />
</td>
<td>115.587<br />
</td>
</tr>
<tr>
<td>11/9<br />
</td>
<td>115.803<br />
</td>
</tr>
<tr>
<td>15/14<br />
</td>
<td>119.443<br />
</td>
</tr>
<tr>
<td>16/13<br />
</td>
<td>119.824<br />
</td>
</tr>
<tr>
<td>7/5<br />
</td>
<td>123.498<br />
</td>
</tr>
<tr>
<td>15/13<br />
</td>
<td>123.871<br />
</td>
</tr>
<tr>
<td>13/10<br />
</td>
<td>124.298<br />
</td>
</tr>
<tr>
<td>4/3<br />
</td>
<td>124.511 (7 and 9 limit minimax)<br />
</td>
</tr>
<tr>
<td>10/9<br />
</td>
<td>125.673<br />
</td>
</tr>
<tr>
<td>6/5<br />
</td>
<td>126.337 (5 limit minimax)<br />
</td>
</tr>
<tr>
<td>18/13<br />
</td>
<td>127.324<br />
</td>
</tr>
<tr>
<td>9/7<br />
</td>
<td>127.486 (11, 13 and 15 limit minimax)<br />
</td>
</tr>
<tr>
<td>14/13<br />
</td>
<td>128.298<br />
</td>
</tr>
<tr>
<td>5/4<br />
</td>
<td>128.771<br />
</td>
</tr>
<tr>
<td>11/10<br />
</td>
<td>129.374<br />
</td>
</tr>
<tr>
<td>11/8<br />
</td>
<td>129.736<br />
</td>
</tr>
<tr>
<td>7/6<br />
</td>
<td>133.435<br />
</td>
</tr>
<tr>
<td>15/11<br />
</td>
<td>134.238<br />
</td>
</tr>
<tr>
<td>13/12<br />
</td>
<td>138.573<br />
</td>
</tr>
<tr>
<td>14/11<br />
</td>
<td>139.169<br />
</td>
</tr>
<tr>
<td>13/11<br />
</td>
<td>144.605<br />
</td>
</tr>
<tr>
<td>12/11<br />
</td>
<td>150.637<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Tuning Spectra-Spectrum of Negril Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:4 -->Spectrum of Negril Tunings by Eigenmonzos</h2>
<br />
Gencom: [2 15/14; 49/48 65/64 91/90 875/858]<br />
Gencom map: [<1 2 2 3 2 4|, <0 -4 3 -2 14 -3|]<br />
<table class="wiki_table">
<tr>
<th>Eigenmonzo<br />
</th>
<th>Supersecor<br />
</th>
</tr>
<tr>
<td>16/15<br />
</td>
<td>111.731<br />
</td>
</tr>
<tr>
<td>8/7<br />
</td>
<td>115.587<br />
</td>
</tr>
<tr>
<td>15/14<br />
</td>
<td>119.443<br />
</td>
</tr>
<tr>
<td>16/13<br />
</td>
<td>119.824<br />
</td>
</tr>
<tr>
<td>7/5<br />
</td>
<td>123.498<br />
</td>
</tr>
<tr>
<td>15/13<br />
</td>
<td>123.871<br />
</td>
</tr>
<tr>
<td>14/11<br />
</td>
<td>123.906<br />
</td>
</tr>
<tr>
<td>11/10<br />
</td>
<td>124.091<br />
</td>
</tr>
<tr>
<td>13/11<br />
</td>
<td>124.164<br />
</td>
</tr>
<tr>
<td>15/11<br />
</td>
<td>124.203<br />
</td>
</tr>
<tr>
<td>13/10<br />
</td>
<td>124.298<br />
</td>
</tr>
<tr>
<td>4/3<br />
</td>
<td>124.511 (7, 9, 11, 13 and 15 limit minimax)<br />
</td>
</tr>
<tr>
<td>11/9<br />
</td>
<td>124.882<br />
</td>
</tr>
<tr>
<td>12/11<br />
</td>
<td>124.965<br />
</td>
</tr>
<tr>
<td>11/8<br />
</td>
<td>125.094<br />
</td>
</tr>
<tr>
<td>10/9<br />
</td>
<td>125.673<br />
</td>
</tr>
<tr>
<td>6/5<br />
</td>
<td>126.337 (5 limit minimax)<br />
</td>
</tr>
<tr>
<td>18/13<br />
</td>
<td>127.324<br />
</td>
</tr>
<tr>
<td>9/7<br />
</td>
<td>127.486<br />
</td>
</tr>
<tr>
<td>14/13<br />
</td>
<td>128.298<br />
</td>
</tr>
<tr>
<td>5/4<br />
</td>
<td>128.771<br />
</td>
</tr>
<tr>
<td>7/6<br />
</td>
<td>133.435<br />
</td>
</tr>
<tr>
<td>13/12<br />
</td>
<td>138.573<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="Tuning Spectra-Spectrum of Negric Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:6 -->Spectrum of Negric Tunings by Eigenmonzos</h2>
<br />
Gencom: [2 15/14; 33/32 49/48 65/64 91/90]<br />
Gencom map: [<1 2 2 3 3 4|, <0 -4 3 -2 4 -3|]<br />
<table class="wiki_table">
<tr>
<th>Eigenmonzo<br />
</th>
<th>Supersecor<br />
</th>
</tr>
<tr>
<td>16/15<br />
</td>
<td>111.731<br />
</td>
</tr>
<tr>
<td>8/7<br />
</td>
<td>115.587<br />
</td>
</tr>
<tr>
<td>15/14<br />
</td>
<td>119.443<br />
</td>
</tr>
<tr>
<td>16/13<br />
</td>
<td>119.824<br />
</td>
</tr>
<tr>
<td>7/5<br />
</td>
<td>123.498<br />
</td>
</tr>
<tr>
<td>15/13<br />
</td>
<td>123.871<br />
</td>
</tr>
<tr>
<td>13/10<br />
</td>
<td>124.298<br />
</td>
</tr>
<tr>
<td>4/3<br />
</td>
<td>124.511 (7 and 9 limit minimax)<br />
</td>
</tr>
<tr>
<td>10/9<br />
</td>
<td>125.673<br />
</td>
</tr>
<tr>
<td>6/5<br />
</td>
<td>126.337 (5 limit minimax)<br />
</td>
</tr>
<tr>
<td>18/13<br />
</td>
<td>127.324<br />
</td>
</tr>
<tr>
<td>9/7<br />
</td>
<td>127.486<br />
</td>
</tr>
<tr>
<td>14/13<br />
</td>
<td>128.298<br />
</td>
</tr>
<tr>
<td>5/4<br />
</td>
<td>128.771<br />
</td>
</tr>
<tr>
<td>11/9<br />
</td>
<td>128.951 (11, 13 and 15 limit minimax)<br />
</td>
</tr>
<tr>
<td>13/11<br />
</td>
<td>130.113<br />
</td>
</tr>
<tr>
<td>14/11<br />
</td>
<td>130.415<br />
</td>
</tr>
<tr>
<td>12/11<br />
</td>
<td>131.170<br />
</td>
</tr>
<tr>
<td>15/11<br />
</td>
<td>132.610<br />
</td>
</tr>
<tr>
<td>7/6<br />
</td>
<td>133.435<br />
</td>
</tr>
<tr>
<td>11/8<br />
</td>
<td>137.829<br />
</td>
</tr>
<tr>
<td>13/12<br />
</td>
<td>138.573<br />
</td>
</tr>
<tr>
<td>11/10<br />
</td>
<td>165.004<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Tuning Spectra-Spectrum of Negroni Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:8 -->Spectrum of Negroni Tunings by Eigenmonzos</h2>
<br />
Gencom: [2 15/14; 49/48 55/54 65/64 91/90]<br />
Gencom map: [<1 2 2 3 5 4|, <0 -4 3 -2 -15 -3|]<br />
<table class="wiki_table">
<tr>
<th>Eigenmonzo<br />
</th>
<th>Supersecor<br />
</th>
</tr>
<tr>
<td>16/15<br />
</td>
<td>111.731<br />
</td>
</tr>
<tr>
<td>8/7<br />
</td>
<td>115.587<br />
</td>
</tr>
<tr>
<td>15/14<br />
</td>
<td>119.443<br />
</td>
</tr>
<tr>
<td>16/13<br />
</td>
<td>119.824<br />
</td>
</tr>
<tr>
<td>11/9<br />
</td>
<td>121.799 (11, 13 and 15 limit minimax)<br />
</td>
</tr>
<tr>
<td>12/11<br />
</td>
<td>122.785<br />
</td>
</tr>
<tr>
<td>11/8<br />
</td>
<td>123.245<br />
</td>
</tr>
<tr>
<td>7/5<br />
</td>
<td>123.498<br />
</td>
</tr>
<tr>
<td>15/13<br />
</td>
<td>123.871<br />
</td>
</tr>
<tr>
<td>15/11<br />
</td>
<td>124.068<br />
</td>
</tr>
<tr>
<td>13/11<br />
</td>
<td>124.101<br />
</td>
</tr>
<tr>
<td>11/10<br />
</td>
<td>124.166<br />
</td>
</tr>
<tr>
<td>13/10<br />
</td>
<td>124.298<br />
</td>
</tr>
<tr>
<td>14/11<br />
</td>
<td>124.424<br />
</td>
</tr>
<tr>
<td>4/3<br />
</td>
<td>124.511 (7 and 9 limit minimx)<br />
</td>
</tr>
<tr>
<td>10/9<br />
</td>
<td>125.673<br />
</td>
</tr>
<tr>
<td>6/5<br />
</td>
<td>126.337 (5 limit minimax)<br />
</td>
</tr>
<tr>
<td>18/13<br />
</td>
<td>127.324<br />
</td>
</tr>
<tr>
<td>9/7<br />
</td>
<td>127.486<br />
</td>
</tr>
<tr>
<td>14/13<br />
</td>
<td>128.298<br />
</td>
</tr>
<tr>
<td>5/4<br />
</td>
<td>128.771<br />
</td>
</tr>
<tr>
<td>7/6<br />
</td>
<td>133.435<br />
</td>
</tr>
<tr>
<td>13/12<br />
</td>
<td>138.573<br />
</td>
</tr>
</table>
</body></html>