Porcupine: Difference between revisions
Wikispaces>hstraub **Imported revision 617421639 - Original comment: ** |
Wikispaces>TallKite **Imported revision 624131139 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-12-20 18:19:42 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>624131139</tt>.<br> | ||
: The revision comment was: <tt></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> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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||= 2 ||> 325.50 ||= 6/5~11/9 ||= ^m3 = vvM3 ||= -2 ||> 874.50 ||= 18/11~5/3 ||= vM6 = ^^m6 || | ||= 2 ||> 325.50 ||= 6/5~11/9 ||= ^m3 = vvM3 ||= -2 ||> 874.50 ||= 18/11~5/3 ||= vM6 = ^^m6 || | ||
||= 3 ||> 488.25 ||= 4/3 ||= P4 ||= -3 ||> 711.75 ||= 3/2 ||= P5 || | ||= 3 ||> 488.25 ||= 4/3 ||= P4 ||= -3 ||> 711.75 ||= 3/2 ||= P5 || | ||
||= 4 ||> 651.00 ||= 16/11~22/15 ||= | ||= 4 ||> 651.00 ||= 16/11~22/15 ||= v5 = ^^d5 ||= -4 ||> 549.00 ||= 15/11~11/8 ||= ^4 = vvA4 || | ||
||= 5 ||> 813.75 ||= 8/5 ||= ^m6 = vvM6 ||= -5 ||> 386.25 ||= 5/4 ||= vM3 = ^^m3 || | ||= 5 ||> 813.75 ||= 8/5 ||= ^m6 = vvM6 ||= -5 ||> 386.25 ||= 5/4 ||= vM3 = ^^m3 || | ||
||= 6 ||> 976.50 ||= 7/4~16/9 ||= m7 ||= -6 ||> 223.50 ||= 9/8~8/7 ||= M2 || | ||= 6 ||> 976.50 ||= 7/4~16/9 ||= m7 ||= -6 ||> 223.50 ||= 9/8~8/7 ||= M2 || | ||
||= 7 ||> 1139.25 ||= 48/25~160/81 ||= | ||= 7 ||> 1139.25 ||= 48/25~160/81 ||= v8 = ^^d8 ||= -7 ||> 60.75 ||= 81/80~25/24 ||= ^1 = vvA1 || | ||
||= 8 ||> 102.00 ||= 16/15~21/20 ||= ^m2 = vvM2 ||= -8 ||> 1098.00 ||= 40/21~15/8 ||= vM7 = ^^m7 || | ||= 8 ||> 102.00 ||= 16/15~21/20 ||= ^m2 = vvM2 ||= -8 ||> 1098.00 ||= 40/21~15/8 ||= vM7 = ^^m7 || | ||
||= 9 ||> 264.75 ||= 7/6 ||= m3 ||= -9 ||> 935.25 ||= 12/7 ||= M6 || | ||= 9 ||> 264.75 ||= 7/6 ||= m3 ||= -9 ||> 935.25 ||= 12/7 ||= M6 || | ||
||= 10 ||> 427.50 ||= 14/11 ||= | ||= 10 ||> 427.50 ||= 14/11 ||= v4 = ^^d4 ||= -10 ||> 772.50 ||= 11/7 ||= ^5 = vvA5 || | ||
||= 11 ||> 590.25 ||= 7/5 ||= ^d5 = | ||= 11 ||> 590.25 ||= 7/5 ||= ^d5 = vv5 ||= -11 ||> 609.75 ||= 10/7 ||= vA4 = ^^4 || | ||
||= 12 ||> 753.00 ||= 14/9 ||= m6 ||= -12 ||> 447.00 ||= 9/7 ||= M3 || | ||= 12 ||> 753.00 ||= 14/9 ||= m6 ||= -12 ||> 447.00 ||= 9/7 ||= M3 || | ||
The specific tuning shown is the full 11-limit [[POTE tuning]], but of course there is a range of acceptible porcupine tunings that includes generators as small as 160 cents ([[15edo]]) and as large as 165.5 cents ([[29edo]]). (However, the 29edo patent val does not support 11-limit porcupine proper, not annihilating 64/63.) | The specific tuning shown is the full 11-limit [[POTE tuning]], but of course there is a range of acceptible porcupine tunings that includes generators as small as 160 cents ([[15edo]]) and as large as 165.5 cents ([[29edo]]). (However, the 29edo patent val does not support 11-limit porcupine proper, not annihilating 64/63.) | ||
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<td style="text-align: center;">16/11~22/15<br /> | <td style="text-align: center;">16/11~22/15<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">v5 = ^^d5<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">-4<br /> | <td style="text-align: center;">-4<br /> | ||
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<td style="text-align: center;">15/11~11/8<br /> | <td style="text-align: center;">15/11~11/8<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^ | <td style="text-align: center;">^4 = vvA4<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">48/25~160/81<br /> | <td style="text-align: center;">48/25~160/81<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">v8 = ^^d8<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">-7<br /> | <td style="text-align: center;">-7<br /> | ||
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<td style="text-align: center;">81/80~25/24<br /> | <td style="text-align: center;">81/80~25/24<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^ | <td style="text-align: center;">^1 = vvA1<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">14/11<br /> | <td style="text-align: center;">14/11<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">v4 = ^^d4<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">-10<br /> | <td style="text-align: center;">-10<br /> | ||
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<td style="text-align: center;">11/7<br /> | <td style="text-align: center;">11/7<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^ | <td style="text-align: center;">^5 = vvA5<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">7/5<br /> | <td style="text-align: center;">7/5<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^d5 = | <td style="text-align: center;">^d5 = vv5<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">-11<br /> | <td style="text-align: center;">-11<br /> | ||
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<td style="text-align: center;">10/7<br /> | <td style="text-align: center;">10/7<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">vA4 = ^^ | <td style="text-align: center;">vA4 = ^^4<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||