Kite's thoughts on pergens: Difference between revisions
Wikispaces>TallKite **Imported revision 624808533 - Original comment: ** |
Wikispaces>TallKite **Imported revision 624808841 - 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:TallKite|TallKite]] and made on <tt>2018-01-12 19: | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2018-01-12 19:29:18 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>624808841</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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||||||~ Tetratonic MOS scales ||~ secondary examples || | ||||||~ Tetratonic MOS scales ||~ secondary examples || | ||
||= 1L 3s ||= (P8, P4/2) [4] ||= half-4th tetratonic || third-4th, third-5th || | ||= 1L 3s ||= (P8, P4/2) [4] ||= half-4th tetratonic ||< third-4th, third-5th || | ||
||= 2L 2s ||= (P8/2, P5) [4] ||= half-8ve tetratonic || || | ||= 2L 2s ||= (P8/2, P5) [4] ||= half-8ve tetratonic ||< || | ||
||= 3L 1s ||= (P8, P5/2) [4] ||= half-fifth tetratonic || || | ||= 3L 1s ||= (P8, P5/2) [4] ||= half-fifth tetratonic ||< || | ||
||||||~ Pentatonic MOS scales ||~ || | ||||||~ Pentatonic MOS scales ||~ || | ||
||= 1L 4s ||= (P8, P5/3) [5] ||= third-5th pentatonic || third-4th, quarter-4th, quarter-5th || | ||= 1L 4s ||= (P8, P5/3) [5] ||= third-5th pentatonic ||< third-4th, quarter-4th, quarter-5th || | ||
||= 2L 3s ||= (P8, P5) [5] ||= unsplit pentatonic || third-11th || | ||= 2L 3s ||= (P8, P5) [5] ||= unsplit pentatonic ||< third-11th || | ||
||= 3L 2s ||= (P8, P12/5) [5] ||= quarter-12th pentatonic || quarter-11th || | ||= 3L 2s ||= (P8, P12/5) [5] ||= quarter-12th pentatonic ||< quarter-11th || | ||
||= 4L 1s ||= (P8, P4/2) [5] ||= half-4th pentatonic || || | ||= 4L 1s ||= (P8, P4/2) [5] ||= half-4th pentatonic ||< || | ||
||||||~ Hexatonic MOS scales ||~ || | ||||||~ Hexatonic MOS scales ||~ || | ||
||= 1L 5s ||= (P8, P4/3) [6] ||= third-4th hexatonic || quarter-4th, quarter-5th, fifth-4th, fifth-5th || | ||= 1L 5s ||= (P8, P4/3) [6] ||= third-4th hexatonic ||< quarter-4th, quarter-5th, fifth-4th, fifth-5th || | ||
||= 2L 4s ||= (P8/2, P5) [6] ||= half-8ve hexatonic || || | ||= 2L 4s ||= (P8/2, P5) [6] ||= half-8ve hexatonic ||< || | ||
||= 3L 3s ||= (P8/3, P5) [6] ||= third-8ve hexatonic || || | ||= 3L 3s ||= (P8/3, P5) [6] ||= third-8ve hexatonic ||< || | ||
||= 4L 2s ||= (P8/2, P4/2) [6] ||= half-everything hexatonic || || | ||= 4L 2s ||= (P8/2, P4/2) [6] ||= half-everything hexatonic ||< || | ||
||= 5L 1s ||= (P8, P5/3) [6] ||= third-5th hexatonic || || | ||= 5L 1s ||= (P8, P5/3) [6] ||= third-5th hexatonic ||< || | ||
||||||~ Heptatonic MOS scales ||~ || | ||||||~ Heptatonic MOS scales ||~ || | ||
||= 1L 6s ||= (P8, P4/3) [7] ||= third-4th heptatonic || quarter-4th, fifth-4th, fifth-5th, sixth-4th, sixth-5th || | ||= 1L 6s ||= (P8, P4/3) [7] ||= third-4th heptatonic ||< quarter-4th, fifth-4th, fifth-5th, sixth-4th, sixth-5th || | ||
||= 2L 5s ||= (P8, P11/3) [7] ||= third-11th heptatonic || fifth-WW4th, sixth-WW5th || | ||= 2L 5s ||= (P8, P11/3) [7] ||= third-11th heptatonic ||< fifth-WW4th, sixth-WW5th || | ||
||= 3L 4s ||= (P8, P5/2) [7] ||= half-5th heptatonic || fifth-12th || | ||= 3L 4s ||= (P8, P5/2) [7] ||= half-5th heptatonic ||< fifth-12th || | ||
||= 4L 3s ||= (P8, P11/5) [7] ||= fifth-11th heptatonic || sixth-12th || | ||= 4L 3s ||= (P8, P11/5) [7] ||= fifth-11th heptatonic ||< sixth-12th || | ||
||= 5L 2s ||= (P8, P5) [7] ||= unsplit heptatonic || sixth-WW4th || | ||= 5L 2s ||= (P8, P5) [7] ||= unsplit heptatonic ||< sixth-WW4th || | ||
||= 6L 1s ||= (P8, P5/4) [7] ||= quarter-5th heptatonic || || | ||= 6L 1s ||= (P8, P5/4) [7] ||= quarter-5th heptatonic ||< || | ||
||||||~ Octotonic MOS scales ||~ || | ||||||~ Octotonic MOS scales ||~ || | ||
||= ||= ||= || || | ||= 1L 7s ||= (P8, P) [8] ||= octotonic ||< || | ||
||= ||= ||= || || | ||= 2L 6s ||= (P8, P) [8] ||= octotonic ||< || | ||
||= ||= ||= || || | ||= 3L 5s ||= (P8, P) [8] ||= octotonic ||< || | ||
||= ||= ||= | ||= 4L 4s ||= (P8, P) [8] ||= octotonic ||< || | ||
||= | ||= 5L 3s ||= (P8, P) [8] ||= octotonic ||< || | ||
||= ||= ||= | ||= 6L 2s ||= (P8, P) [8] ||= octotonic ||< || | ||
||= | ||= 7L 1s ||= (P8, P) [8] ||= octotonic ||< || | ||
||= | ||||||~ Nonatonic MOS scales ||~ || | ||
||= | ||= 1L 8s ||= (P8, P) [9] ||= nonatonic ||< || | ||
||= | ||= 2L 7s ||= (P8, P) [9] ||= nonatonic ||< || | ||
||= | ||= 3L 6s ||= (P8, P) [9] ||= nonatonic ||< || | ||
||= 4L 5s ||= (P8, P) [9] ||= nonatonic ||< || | |||
||= 5L 4s ||= (P8, P) [9] ||= nonatonic ||< || | |||
||= 6L 3s ||= (P8, P) [9] ||= nonatonic ||< || | |||
||= 7L 2s ||= (P8, P) [9] ||= nonatonic ||< || | |||
||= 8L 1s ||= (P8, P) [9] ||= nonatonic ||< || | |||
||||||~ Decatonic MOS scales ||~ || | |||
||= 1L 9s ||= (P8, P) [10] ||= decatonic ||< || | |||
||= 2L 8s ||= (P8, P) [10] ||= decatonic ||< half-8ve quartertone || | |||
||= 3L 7s ||= (P8, P) [10] ||= decatonic ||< || | |||
||= 4L 6s ||= (P8, P) [10] ||= decatonic ||< || | |||
||= 5L 5s ||= (P8, P) [10] ||= decatonic ||< || | |||
||= 6L 4s ||= (P8, P) [10] ||= decatonic ||< || | |||
||= 7L 3s ||= (P8, P) [10] ||= decatonic ||< || | |||
||= 8L 2s ||= (P8, P) [10] ||= decatonic ||< || | |||
||= 9L 1s ||= (P8, P) [10] ||= decatonic ||< || | |||
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<td style="text-align: center;">half-4th tetratonic<br /> | <td style="text-align: center;">half-4th tetratonic<br /> | ||
</td> | </td> | ||
<td>third-4th, third-5th<br /> | <td style="text-align: left;">third-4th, third-5th<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">half-8ve tetratonic<br /> | <td style="text-align: center;">half-8ve tetratonic<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">half-fifth tetratonic<br /> | <td style="text-align: center;">half-fifth tetratonic<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">third-5th pentatonic<br /> | <td style="text-align: center;">third-5th pentatonic<br /> | ||
</td> | </td> | ||
<td>third-4th, quarter-4th, quarter-5th<br /> | <td style="text-align: left;">third-4th, quarter-4th, quarter-5th<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">unsplit pentatonic<br /> | <td style="text-align: center;">unsplit pentatonic<br /> | ||
</td> | </td> | ||
<td>third-11th<br /> | <td style="text-align: left;">third-11th<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">quarter-12th pentatonic<br /> | <td style="text-align: center;">quarter-12th pentatonic<br /> | ||
</td> | </td> | ||
<td>quarter-11th<br /> | <td style="text-align: left;">quarter-11th<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">half-4th pentatonic<br /> | <td style="text-align: center;">half-4th pentatonic<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">third-4th hexatonic<br /> | <td style="text-align: center;">third-4th hexatonic<br /> | ||
</td> | </td> | ||
<td>quarter-4th, quarter-5th, fifth-4th, fifth-5th<br /> | <td style="text-align: left;">quarter-4th, quarter-5th, fifth-4th, fifth-5th<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">half-8ve hexatonic<br /> | <td style="text-align: center;">half-8ve hexatonic<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">third-8ve hexatonic<br /> | <td style="text-align: center;">third-8ve hexatonic<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">half-everything hexatonic<br /> | <td style="text-align: center;">half-everything hexatonic<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">third-5th hexatonic<br /> | <td style="text-align: center;">third-5th hexatonic<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">third-4th heptatonic<br /> | <td style="text-align: center;">third-4th heptatonic<br /> | ||
</td> | </td> | ||
<td>quarter-4th, fifth-4th, fifth-5th, sixth-4th, sixth-5th<br /> | <td style="text-align: left;">quarter-4th, fifth-4th, fifth-5th, sixth-4th, sixth-5th<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">third-11th heptatonic<br /> | <td style="text-align: center;">third-11th heptatonic<br /> | ||
</td> | </td> | ||
<td>fifth-WW4th, sixth-WW5th<br /> | <td style="text-align: left;">fifth-WW4th, sixth-WW5th<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">half-5th heptatonic<br /> | <td style="text-align: center;">half-5th heptatonic<br /> | ||
</td> | </td> | ||
<td>fifth-12th<br /> | <td style="text-align: left;">fifth-12th<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">fifth-11th heptatonic<br /> | <td style="text-align: center;">fifth-11th heptatonic<br /> | ||
</td> | </td> | ||
<td>sixth-12th<br /> | <td style="text-align: left;">sixth-12th<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">unsplit heptatonic<br /> | <td style="text-align: center;">unsplit heptatonic<br /> | ||
</td> | </td> | ||
<td>sixth-WW4th<br /> | <td style="text-align: left;">sixth-WW4th<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">quarter-5th heptatonic<br /> | <td style="text-align: center;">quarter-5th heptatonic<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">1L 7s<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">(P8, P) [8]<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">octotonic<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">2L 6s<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">(P8, P) [8]<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">octotonic<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">3L 5s<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">(P8, P) [8]<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">octotonic<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">4L 4s<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">(P8, P) [8]<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">octotonic<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">5L 3s<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">(P8, P) [8]<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">octotonic<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">6L 2s<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">(P8, P) [8]<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">octotonic<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">7L 1s<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">(P8, P) [8]<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">octotonic<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | |||
</tr> | |||
<tr> | |||
<th colspan="3">Nonatonic MOS scales<br /> | |||
</th> | |||
<th><br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">1L 8s<br /> | |||
</td> | |||
<td style="text-align: center;">(P8, P) [9]<br /> | |||
</td> | |||
<td style="text-align: center;">nonatonic<br /> | |||
</td> | |||
<td style="text-align: left;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">2L 7s<br /> | |||
</td> | |||
<td style="text-align: center;">(P8, P) [9]<br /> | |||
</td> | |||
<td style="text-align: center;">nonatonic<br /> | |||
</td> | |||
<td style="text-align: left;"><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">3L 6s<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">(P8, P) [9]<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">nonatonic<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">4L 5s<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">(P8, P) [9]<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">nonatonic<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">5L 4s<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">(P8, P) [9]<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">nonatonic<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">6L 3s<br /> | ||
</td> | |||
<td style="text-align: center;">(P8, P) [9]<br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">nonatonic<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | </tr> | ||
<tr> | |||
<td style="text-align: center;">7L 2s<br /> | |||
</td> | |||
<td style="text-align: center;">(P8, P) [9]<br /> | |||
</td> | |||
<td style="text-align: center;">nonatonic<br /> | |||
</td> | |||
<td style="text-align: left;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">8L 1s<br /> | |||
</td> | |||
<td style="text-align: center;">(P8, P) [9]<br /> | |||
</td> | |||
<td style="text-align: center;">nonatonic<br /> | |||
</td> | |||
<td style="text-align: left;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<th colspan="3">Decatonic MOS scales<br /> | |||
</th> | |||
<th><br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">1L 9s<br /> | |||
</td> | |||
<td style="text-align: center;">(P8, P) [10]<br /> | |||
</td> | |||
<td style="text-align: center;">decatonic<br /> | |||
</td> | |||
<td style="text-align: left;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">2L 8s<br /> | |||
</td> | |||
<td style="text-align: center;">(P8, P) [10]<br /> | |||
</td> | |||
<td style="text-align: center;">decatonic<br /> | |||
</td> | |||
<td style="text-align: left;">half-8ve quartertone<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">3L 7s<br /> | |||
</td> | |||
<td style="text-align: center;">(P8, P) [10]<br /> | |||
</td> | |||
<td style="text-align: center;">decatonic<br /> | |||
</td> | |||
<td style="text-align: left;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">4L 6s<br /> | |||
</td> | |||
<td style="text-align: center;">(P8, P) [10]<br /> | |||
</td> | |||
<td style="text-align: center;">decatonic<br /> | |||
</td> | |||
<td style="text-align: left;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">5L 5s<br /> | |||
</td> | |||
<td style="text-align: center;">(P8, P) [10]<br /> | |||
</td> | |||
<td style="text-align: center;">decatonic<br /> | |||
</td> | |||
<td style="text-align: left;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">6L 4s<br /> | |||
</td> | |||
<td style="text-align: center;">(P8, P) [10]<br /> | |||
</td> | |||
<td style="text-align: center;">decatonic<br /> | |||
</td> | |||
<td style="text-align: left;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">7L 3s<br /> | |||
</td> | |||
<td style="text-align: center;">(P8, P) [10]<br /> | |||
</td> | |||
<td style="text-align: center;">decatonic<br /> | |||
</td> | |||
<td style="text-align: left;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">8L 2s<br /> | |||
</td> | |||
<td style="text-align: center;">(P8, P) [10]<br /> | |||
</td> | |||
<td style="text-align: center;">decatonic<br /> | |||
</td> | |||
<td style="text-align: left;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">9L 1s<br /> | |||
</td> | |||
<td style="text-align: center;">(P8, P) [10]<br /> | |||
</td> | |||
<td style="text-align: center;">decatonic<br /> | |||
</td> | |||
<td style="text-align: left;"><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 2,853: | Line 3,010: | ||
<!-- ws:start:WikiTextHeadingRule:62:&lt;h2&gt; --><h2 id="toc16"><a name="Further Discussion-Misc notes"></a><!-- ws:end:WikiTextHeadingRule:62 -->Misc notes</h2> | <!-- ws:start:WikiTextHeadingRule:62:&lt;h2&gt; --><h2 id="toc16"><a name="Further Discussion-Misc notes"></a><!-- ws:end:WikiTextHeadingRule:62 -->Misc notes</h2> | ||
<br /> | <br /> | ||
Pergens were discovered by Kite Giedraitis in 2017, and developed with the help of Praveen Venkataramana. Earlier drafts of this article can be found at <!-- ws:start:WikiTextUrlRule: | Pergens were discovered by Kite Giedraitis in 2017, and developed with the help of Praveen Venkataramana. Earlier drafts of this article can be found at <!-- ws:start:WikiTextUrlRule:3751:http://xenharmonic.wikispaces.com/pergen+names --><a href="http://xenharmonic.wikispaces.com/pergen+names">http://xenharmonic.wikispaces.com/pergen+names</a><!-- ws:end:WikiTextUrlRule:3751 --><br /> | ||
<br /> | <br /> | ||
Gedras can be expanded to 5-limit two ways: one, by including another keyspan that is compatible with 7 and 12, such as 9 or 16. Two, the third number can be the comma 81/80. Thus 5/4 would be a M3 minus a comma, [4, 2, -1]. If 64/63 is 7's notational comma, for (a,b,c,d) we get [k,s,g,r]:<br /> | Gedras can be expanded to 5-limit two ways: one, by including another keyspan that is compatible with 7 and 12, such as 9 or 16. Two, the third number can be the comma 81/80. Thus 5/4 would be a M3 minus a comma, [4, 2, -1]. If 64/63 is 7's notational comma, for (a,b,c,d) we get [k,s,g,r]:<br /> | ||