Kite's thoughts on pergens: Difference between revisions
Wikispaces>TallKite **Imported revision 625062379 - Original comment: ** |
Wikispaces>TallKite **Imported revision 625080209 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<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:TallKite|TallKite]] and made on <tt>2018-01- | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2018-01-19 03:27:09 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>625080209</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> | ||
| Line 544: | Line 544: | ||
We can also examine which MOS scales are generated by a specific pergen. This of course depends on the exact size of the generator. In this table, the 5th is assumed to be between 4\7 and 3\5. | We can also examine which MOS scales are generated by a specific pergen. This of course depends on the exact size of the generator. In this table, the 5th is assumed to be between 4\7 and 3\5. | ||
||||~ pergen ||~ MOS scales ||~ from 5 to 12 ||~ ||~ || | ||||~ pergen ||~ MOS scales ||~ from 5 to 12 ||~ ||~ ||~ ||~ || | ||
||= (P8, P5) ||= unsplit ||= 5 = 2L 3s ||= 7 = 5L 2s || | ||= (P8, P5) ||= unsplit ||= 5 = 2L 3s ||= 7 = 5L 2s |||| 12 = 7L 5s (or 5L 7s) || || || | ||
||~ halves ||~ ||~ ||~ ||~ ||~ || | ||~ halves ||~ ||~ ||~ ||~ ||~ ||~ ||~ || | ||
||= (P8/2, P5) ||= half-8ve ||= 6 = 2L 4s ||= 8 = 2L 6s ||= 10 = 2L 8s || | ||= (P8/2, P5) ||= half-8ve ||= 6 = 2L 4s ||= 8 = 2L 6s ||= 10 = 2L 8s |||||| 12 = 2L 10s (or 10L 2s) || | ||
||= (P8, P4/2) ||= half-4th ||= 5 = 4L 1s ||= 9 = 5L 4s ||= ||= || | ||= (P8, P4/2) ||= half-4th ||= 5 = 4L 1s ||= 9 = 5L 4s ||= ||= || || || | ||
||= (P8, P5/2) ||= half-5th ||= 7 = 3L 4s ||= 10 = 7L 3s ||= ||= || | ||= (P8, P5/2) ||= half-5th ||= 7 = 3L 4s ||= 10 = 7L 3s ||= ||= || || || | ||
||= (P8/2, P4/2) ||= half-everything ||= 6 = 4L 2s ||= 10 = 4L 6s ||= ||= || | ||= (P8/2, P4/2) ||= half-everything ||= 6 = 4L 2s ||= 10 = 4L 6s ||= ||= || || || | ||
||~ thirds ||~ ||~ ||~ ||~ ||~ || | ||~ thirds ||~ ||~ ||~ ||~ ||~ ||~ ||~ || | ||
||= (P8/3, P5) ||= third-8ve ||= 6 = 3L 3s ||= 9 = 3L 6s || | ||= (P8/3, P5) ||= third-8ve ||= 6 = 3L 3s ||= 9 = 3L 6s |||| 12 = 3L 9s (or 9L 3s) || || || | ||
||= (P8, P4/3) ||= third-4th ||= 5 = 1L 4s ||= 6 = 1L 5s ||= 7 = 1L 6s ||= 8 = 7L 1s || | ||= (P8, P4/3) ||= third-4th ||= 5 = 1L 4s ||= 6 = 1L 5s ||= 7 = 1L 6s ||= 8 = 7L 1s || || || | ||
||= (P8, P5/3) ||= third-5th ||= 5 = 1L 4s ||= 6 = 5L 1s ||= 11 = 5L 6s ||= || | ||= (P8, P5/3) ||= third-5th ||= 5 = 1L 4s ||= 6 = 5L 1s ||= 11 = 5L 6s ||= || || || | ||
||= (P8, P11/3) ||= third-11th ||= 5 = 2L 3s ||= 7 = 2L 5s ||= 9 = 2L 7s ||= 11 = 2L 9s || | ||= (P8, P11/3) ||= third-11th ||= 5 = 2L 3s ||= 7 = 2L 5s ||= 9 = 2L 7s ||= 11 = 2L 9s || || || | ||
||= (P8/3, P4/2) ||= third-8ve, half-4th ||= 6 = 3L 3s ||= 9 = 6L 3s ||= ||= || | ||= (P8/3, P4/2) ||= third-8ve, half-4th ||= 6 = 3L 3s ||= 9 = 6L 3s ||= ||= || || || | ||
||= (P8/3, P5/2) ||= third-8ve, half-5th ||= 6 = 3L 3s ||= 9 = 3L 6s ||= 12 = 3L 9s ||= || | ||= (P8/3, P5/2) ||= third-8ve, half-5th ||= 6 = 3L 3s ||= 9 = 3L 6s ||= 12 = 3L 9s ||= || || || | ||
||= (P8/2, P4/3) ||= half-8ve, third-4th ||= 6 = 2L 4s ||= 8 = 6L 2s ||= ||= || | ||= (P8/2, P4/3) ||= half-8ve, third-4th ||= 6 = 2L 4s ||= 8 = 6L 2s ||= ||= || || || | ||
||= (P8/2, P5/3) ||= half-8ve, third-5th ||= 6 = 4L 2s ||= 10 = 6L 4s ||= ||= || | ||= (P8/2, P5/3) ||= half-8ve, third-5th ||= 6 = 4L 2s ||= 10 = 6L 4s ||= ||= || || || | ||
||= (P8/2, P11/3) ||= half-8ve, third-11th ||= 6 = 2L 4s ||= 8 = 2L 6s ||= 10 = 2L 8s ||= 12 = 2L 10s || | ||= (P8/2, P11/3) ||= half-8ve, third-11th ||= 6 = 2L 4s ||= 8 = 2L 6s ||= 10 = 2L 8s ||= 12 = 2L 10s || || || | ||
||= (P8/3, P4/3) ||= third-everything ||= 6 = 3L 3s ||= 9 = 6L 3s ||= ||= || | ||= (P8/3, P4/3) ||= third-everything ||= 6 = 3L 3s ||= 9 = 6L 3s ||= ||= || || || | ||
||~ quarters ||~ ||~ ||~ ||~ ||~ || | ||~ quarters ||~ ||~ ||~ ||~ ||~ ||~ ||~ || | ||
||= (P8/4, P5) ||= | ||= (P8/4, P5) ||= quarter-8ve ||= 8 = 4L 4s |||| 12 = 4L 8s (or 8L 4s) ||= || || || | ||
||= (P8, P4/4) ||= | ||= (P8, P4/4) ||= quarter-4th ||= 5 = 1L 4s ||= 6 = 1L 5s ||= 7 = 1L 6s ||= 8 = 1L 7s || 9 = 1L 8s || 10 = 9L 1s || | ||
||= | ||= (P8, P5/4) ||= quarter-5th ||= 5 = 1L 4s ||= 6 = 1L 5s ||= 7 = 6L 1s ||= || || || | ||
||= (P8, | ||= (P8, P11/4) ||= quarter-11th ||= 5 = 3L 2s ||= 8 = 3L 5s ||= 11 = 3L 8s ||= || || || | ||
||= (P8, | ||= (P8, P12/4) ||= quarter-12th ||= 5 = 3L 2s ||= 8 = 5L 3s ||= ||= || || || | ||
||= (P8/4 | ||= (P8/4, P4/2) ||= quarter-8ve half-4th ||= 8 = 4L 4s ||= 12 = 4L 8s ||= ||= || || || | ||
||= (P8/ | ||= (P8/2, M2/4) ||= half-8ve quarter-tone ||= 6 = 2L 4s ||= 8 = 2L 6s ||= 10 = 2L 8s ||= 12 = 2L 10s || || || | ||
||= (P8/2, | ||= (P8/2, P4/4) ||= half-8ve quarter-4th ||= 6 = 2L 4s ||= 8 = 2L 6s ||= 10 = 8L 2s ||= || || || | ||
||= (P8/2, | ||= (P8/2, P5/4) ||= half-8ve quarter-5th ||= 6 = 2L 4s ||= 8 = 6L 2s ||= ||= || || || | ||
||= (P8/ | ||= (P8/4, P4/3) ||= quarter-8ve third-4th ||= ||= ||= ||= || || || | ||
||= (P8/4, | ||= (P8/4, P5/3) ||= quarter-8ve third-5th ||= ||= ||= ||= || || || | ||
||= (P8/4, | ||= (P8/4, P11/3) ||= quarter-8ve 3rd-11th ||= ||= ||= ||= || || || | ||
||= (P8/ | ||= (P8/3, P4/4) ||= third-8ve quarter-4th ||= ||= ||= ||= || || || | ||
||= (P8/3, | ||= (P8/3, P5/4) ||= third-8ve quarter-5th ||= ||= ||= ||= || || || | ||
||= (P8/3, | ||= (P8/3, P11/4) ||= third-8ve quarter-11th ||= ||= ||= ||= || || || | ||
||= (P8/3, | ||= (P8/3, P12/4) ||= third-8ve quarter-12th ||= ||= ||= ||= || || || | ||
||= (P8/4, P4/4) ||= quarter-everything ||= ||= ||= ||= || || || | |||
| Line 2,967: | Line 2,967: | ||
</th> | </th> | ||
<th>from 5 to 12<br /> | <th>from 5 to 12<br /> | ||
</th> | |||
<th><br /> | |||
</th> | |||
<th><br /> | |||
</th> | </th> | ||
<th><br /> | <th><br /> | ||
| Line 2,982: | Line 2,986: | ||
<td style="text-align: center;">7 = 5L 2s<br /> | <td style="text-align: center;">7 = 5L 2s<br /> | ||
</td> | </td> | ||
<td | <td colspan="2">12 = 7L 5s (or 5L 7s)<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th>halves<br /> | <th>halves<br /> | ||
</th> | |||
<th><br /> | |||
</th> | |||
<th><br /> | |||
</th> | </th> | ||
<th><br /> | <th><br /> | ||
| Line 3,012: | Line 3,022: | ||
<td style="text-align: center;">10 = 2L 8s<br /> | <td style="text-align: center;">10 = 2L 8s<br /> | ||
</td> | </td> | ||
<td | <td colspan="3">12 = 2L 10s (or 10L 2s)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 3,027: | Line 3,037: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 3,041: | Line 3,055: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 3,055: | Line 3,073: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th>thirds<br /> | <th>thirds<br /> | ||
</th> | |||
<th><br /> | |||
</th> | |||
<th><br /> | |||
</th> | </th> | ||
<th><br /> | <th><br /> | ||
| Line 3,080: | Line 3,106: | ||
<td style="text-align: center;">9 = 3L 6s<br /> | <td style="text-align: center;">9 = 3L 6s<br /> | ||
</td> | </td> | ||
<td | <td colspan="2">12 = 3L 9s (or 9L 3s)<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 3,097: | Line 3,125: | ||
</td> | </td> | ||
<td style="text-align: center;">8 = 7L 1s<br /> | <td style="text-align: center;">8 = 7L 1s<br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 3,111: | Line 3,143: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 3,125: | Line 3,161: | ||
</td> | </td> | ||
<td style="text-align: center;">11 = 2L 9s<br /> | <td style="text-align: center;">11 = 2L 9s<br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 3,139: | Line 3,179: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 3,153: | Line 3,197: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 3,167: | Line 3,215: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 3,181: | Line 3,233: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 3,195: | Line 3,251: | ||
</td> | </td> | ||
<td style="text-align: center;">12 = 2L 10s<br /> | <td style="text-align: center;">12 = 2L 10s<br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 3,209: | Line 3,269: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th>quarters<br /> | <th>quarters<br /> | ||
</th> | |||
<th><br /> | |||
</th> | |||
<th><br /> | |||
</th> | </th> | ||
<th><br /> | <th><br /> | ||
| Line 3,228: | Line 3,296: | ||
<td style="text-align: center;">(P8/4, P5)<br /> | <td style="text-align: center;">(P8/4, P5)<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">quarter-8ve<br /> | ||
</td> | |||
<td style="text-align: center;">8 = 4L 4s<br /> | |||
</td> | </td> | ||
<td | <td colspan="2">12 = 4L 8s (or 8L 4s)<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 3,242: | Line 3,312: | ||
<td style="text-align: center;">(P8, P4/4)<br /> | <td style="text-align: center;">(P8, P4/4)<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">quarter-4th<br /> | ||
</td> | |||
<td style="text-align: center;">5 = 1L 4s<br /> | |||
</td> | |||
<td style="text-align: center;">6 = 1L 5s<br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">7 = 1L 6s<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">8 = 1L 7s<br /> | ||
</td> | </td> | ||
<td | <td>9 = 1L 8s<br /> | ||
</td> | </td> | ||
<td | <td>10 = 9L 1s<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 3,256: | Line 3,330: | ||
<td style="text-align: center;">(P8, P5/4)<br /> | <td style="text-align: center;">(P8, P5/4)<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">quarter-5th<br /> | ||
</td> | |||
<td style="text-align: center;">5 = 1L 4s<br /> | |||
</td> | |||
<td style="text-align: center;">6 = 1L 5s<br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">7 = 6L 1s<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 3,270: | Line 3,348: | ||
<td style="text-align: center;">(P8, P11/4)<br /> | <td style="text-align: center;">(P8, P11/4)<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">quarter-11th<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">5 = 3L 2s<br /> | ||
</td> | |||
<td style="text-align: center;">8 = 3L 5s<br /> | |||
</td> | |||
<td style="text-align: center;">11 = 3L 8s<br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 3,284: | Line 3,366: | ||
<td style="text-align: center;">(P8, P12/4)<br /> | <td style="text-align: center;">(P8, P12/4)<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">quarter-12th<br /> | ||
</td> | |||
<td style="text-align: center;">5 = 3L 2s<br /> | |||
</td> | |||
<td style="text-align: center;">8 = 5L 3s<br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
| Line 3,290: | Line 3,376: | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 3,298: | Line 3,384: | ||
<td style="text-align: center;">(P8/4, P4/2)<br /> | <td style="text-align: center;">(P8/4, P4/2)<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">quarter-8ve half-4th<br /> | ||
</td> | |||
<td style="text-align: center;">8 = 4L 4s<br /> | |||
</td> | |||
<td style="text-align: center;">12 = 4L 8s<br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
| Line 3,304: | Line 3,394: | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 3,312: | Line 3,402: | ||
<td style="text-align: center;">(P8/2, M2/4)<br /> | <td style="text-align: center;">(P8/2, M2/4)<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">half-8ve quarter-tone<br /> | ||
</td> | |||
<td style="text-align: center;">6 = 2L 4s<br /> | |||
</td> | |||
<td style="text-align: center;">8 = 2L 6s<br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">10 = 2L 8s<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">12 = 2L 10s<br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 3,326: | Line 3,420: | ||
<td style="text-align: center;">(P8/2, P4/4)<br /> | <td style="text-align: center;">(P8/2, P4/4)<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">half-8ve quarter-4th<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">6 = 2L 4s<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">8 = 2L 6s<br /> | ||
</td> | |||
<td style="text-align: center;">10 = 8L 2s<br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 3,340: | Line 3,438: | ||
<td style="text-align: center;">(P8/2, P5/4)<br /> | <td style="text-align: center;">(P8/2, P5/4)<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">half-8ve quarter-5th<br /> | ||
</td> | |||
<td style="text-align: center;">6 = 2L 4s<br /> | |||
</td> | |||
<td style="text-align: center;">8 = 6L 2s<br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
| Line 3,346: | Line 3,448: | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;">(P8/4, P4/3)<br /> | <td style="text-align: center;">(P8/4, P4/3)<br /> | ||
</td> | |||
<td style="text-align: center;">quarter-8ve third-4th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
| Line 3,362: | Line 3,466: | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;">(P8/4, P5/3)<br /> | <td style="text-align: center;">(P8/4, P5/3)<br /> | ||
</td> | |||
<td style="text-align: center;">quarter-8ve third-5th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
| Line 3,376: | Line 3,484: | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;">(P8/4, P11/3)<br /> | <td style="text-align: center;">(P8/4, P11/3)<br /> | ||
</td> | |||
<td style="text-align: center;">quarter-8ve 3rd-11th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
| Line 3,390: | Line 3,502: | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;">(P8/3, P4/4)<br /> | <td style="text-align: center;">(P8/3, P4/4)<br /> | ||
</td> | |||
<td style="text-align: center;">third-8ve quarter-4th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
| Line 3,404: | Line 3,520: | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;">(P8/3, P5/4)<br /> | <td style="text-align: center;">(P8/3, P5/4)<br /> | ||
</td> | |||
<td style="text-align: center;">third-8ve quarter-5th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
| Line 3,418: | Line 3,538: | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;">(P8/3, P11/4)<br /> | <td style="text-align: center;">(P8/3, P11/4)<br /> | ||
</td> | |||
<td style="text-align: center;">third-8ve quarter-11th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
| Line 3,432: | Line 3,556: | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;">(P8/3, P12/4)<br /> | <td style="text-align: center;">(P8/3, P12/4)<br /> | ||
</td> | |||
<td style="text-align: center;">third-8ve quarter-12th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
| Line 3,446: | Line 3,574: | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;">(P8/4, P4/4)<br /> | <td style="text-align: center;">(P8/4, P4/4)<br /> | ||
</td> | |||
<td style="text-align: center;">quarter-everything<br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
| Line 3,460: | Line 3,592: | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 3,788: | Line 3,922: | ||
<br /> | <br /> | ||
This PDF is a rank-2 notation guide that shows the full lattice for the first 15 pergens, up through the third-splits block.<br /> | This PDF is a rank-2 notation guide that shows the full lattice for the first 15 pergens, up through the third-splits block.<br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:4900:http://www.tallkite.com/misc_files/pergens.pdf --><a class="wiki_link_ext" href="http://www.tallkite.com/misc_files/pergens.pdf" rel="nofollow">http://www.tallkite.com/misc_files/pergens.pdf</a><!-- ws:end:WikiTextUrlRule:4900 --><br /> | ||
<br /> | <br /> | ||
Alt-pergenLister lists out thousands of pergens, and suggests periods, generators and enharmonics for each one. It can also list only those pergens supported by a specific edo. Written in Jesusonic, runs inside Reaper.<br /> | Alt-pergenLister lists out thousands of pergens, and suggests periods, generators and enharmonics for each one. It can also list only those pergens supported by a specific edo. Written in Jesusonic, runs inside Reaper.<br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:4901:http://www.tallkite.com/misc_files/alt-pergensLister.zip --><a class="wiki_link_ext" href="http://www.tallkite.com/misc_files/alt-pergensLister.zip" rel="nofollow">http://www.tallkite.com/misc_files/alt-pergensLister.zip</a><!-- ws:end:WikiTextUrlRule:4901 --><br /> | ||
<br /> | <br /> | ||
Screenshot of the first 38 pergens:<br /> | Screenshot of the first 38 pergens:<br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:2882:&lt;img src=&quot;/file/view/alt-pergenLister.png/624838213/704x460/alt-pergenLister.png&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 460px; width: 704px;&quot; /&gt; --><img src="/file/view/alt-pergenLister.png/624838213/704x460/alt-pergenLister.png" alt="alt-pergenLister.png" title="alt-pergenLister.png" style="height: 460px; width: 704px;" /><!-- ws:end:WikiTextLocalImageRule:2882 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:90:&lt;h2&gt; --><h2 id="toc19"><a name="Further Discussion-Misc notes"></a><!-- ws:end:WikiTextHeadingRule:90 -->Misc notes</h2> | <!-- ws:start:WikiTextHeadingRule:90:&lt;h2&gt; --><h2 id="toc19"><a name="Further Discussion-Misc notes"></a><!-- ws:end:WikiTextHeadingRule:90 -->Misc notes</h2> | ||