19edo modes: Difference between revisions
Wikispaces>spt3125 **Imported revision 485267022 - Original comment: ** |
Wikispaces>spt3125 **Imported revision 485267522 - 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:spt3125|spt3125]] and made on <tt>2014-01-25 21: | : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-01-25 21:36:36 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>485267522</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 115: | Line 115: | ||
|| 0|8 || 1 3 1 3 1 3 1 3 3 || 0 1 4 5 8 9 12 13 16 || C C# D# Eb F F# G# Ab Bb || | || 0|8 || 1 3 1 3 1 3 1 3 3 || 0 1 4 5 8 9 12 13 16 || C C# D# Eb F F# G# Ab Bb || | ||
**godzilla[14]** ([[5L 9s|5L+9s ]]/ CPG = 4\19 | **godzilla[14]** ([[5L 9s|5L+9s ]]/ CPG = 4\19) | ||
||~ UDP ||~ | ||~ UDP ||~ steps ||~ degrees ||~ note names || | ||
|| 13|0 || | || 13|0 || 2 1 2 1 1 2 1 1 2 1 1 2 1 1 || 0 2 3 5 6 7 9 10 11 13 14 15 17 18 || C Db D Eb E E# F# Gb G Ab A A# B B# || | ||
|| 12|1 || 1 1 2 | || 12|1 || 2 1 1 2 1 2 1 1 2 1 1 2 1 1 || 0 2 3 4 6 7 9 10 11 13 14 15 17 18 || C Db D D# E E# F# Gb G Ab A A# B B# || | ||
|| 11|2 || 1 1 2 1 1 2 1 2 1 1 2 1 1 | || 11|2 || 2 1 1 2 1 1 2 1 2 1 1 2 1 1 || 0 2 3 4 6 7 8 10 11 13 14 15 17 18 || C Db D D# E E# F Gb G Ab A A# B B# || | ||
|| 10|3 || 1 1 2 1 2 1 1 2 | || 10|3 || 2 1 1 2 1 1 2 1 1 2 1 2 1 1 || 0 2 3 4 6 7 8 10 11 12 14 15 17 18 || C Db D D# E E# F Gb G G# A A# B B# || | ||
|| 9|4 || | || 9|4 || 2 1 1 2 1 1 2 1 1 2 1 1 2 1 || 0 2 3 4 6 7 8 10 11 12 14 15 16 18 || C Db D D# E E# F Gb G G# A A# Bb B# || | ||
|| 8|5 || 1 2 | || 8|5 || 1 2 1 2 1 1 2 1 1 2 1 1 2 1 || 0 1 3 4 6 7 8 10 11 12 14 15 16 18 || C C# D D# E E# F Gb G G# A A# Bb B# || | ||
|| 7|6 || 1 2 1 1 2 1 1 | || 7|6 || 1 2 1 1 2 1 2 1 1 2 1 1 2 1 || 0 1 3 4 5 7 8 10 11 12 14 15 16 18 || C C# D D# Eb E# F Gb G G# A A# Bb B# || | ||
|| 6|7 || 1 2 1 1 2 1 2 | || 6|7 || 1 2 1 1 2 1 1 2 1 2 1 1 2 1 || 0 1 3 4 5 7 8 9 11 12 14 15 16 18 || C C# D D# Eb E# F F# G G# A A# Bb B# || | ||
|| 5|8 || 1 2 1 2 1 1 2 1 1 2 | || 5|8 || 1 2 1 1 2 1 1 2 1 1 2 1 2 1 || 0 1 3 4 5 7 8 9 11 12 13 15 16 18 || C C# D D# Eb E# F F# G G# Ab A# Bb B# || | ||
|| 4|9 || 2 1 1 2 1 1 2 1 1 2 1 1 2 | || 4|9 || 1 2 1 1 2 1 1 2 1 1 2 1 1 2 || 0 1 3 4 5 7 8 9 11 12 13 15 16 17 || C C# D D# Eb E# F F# G G# Ab A# Bb B || | ||
|| 3|10 || | || 3|10 || 1 1 2 1 2 1 1 2 1 1 2 1 1 2 || 0 1 2 4 5 7 8 9 11 12 13 15 16 17 || C C# Db D# Eb E# F F# G G# Ab A# Bb B || | ||
|| 2|11 || | || 2|11 || 1 1 2 1 1 2 1 2 1 1 2 1 1 2 || 0 1 2 4 5 6 8 9 11 12 13 15 16 17 || C C# Db D# Eb E F F# G G# Ab A# Bb B || | ||
|| 1|12 || | || 1|12 || 1 1 2 1 1 2 1 1 2 1 2 1 1 2 || 0 1 2 4 5 6 8 9 10 12 13 15 16 17 || C C# Db D# Eb E F F# Gb G# Ab A# Bb B || | ||
|| 0|13 || | || 0|13 || 1 1 2 1 1 2 1 1 2 1 1 2 1 2 || 0 1 2 4 5 6 8 9 10 12 13 14 16 17 || C C# Db D# Eb E F F# Gb G# Ab A Bb B || | ||
==[[Kleismic family|Kleismic / Hanson]]== | ==[[Kleismic family|Kleismic / Hanson]]== | ||
| Line 144: | Line 145: | ||
|| 0|6 || 1 4 1 4 1 4 4 || 0 1 5 6 10 11 15 || C C# Eb E Gb G A# || has 3/2 || | || 0|6 || 1 4 1 4 1 4 4 || 0 1 5 6 10 11 15 || C C# Eb E Gb G A# || has 3/2 || | ||
**kleismic[11]** ([[xenharmonic/4L 7s|4L+7s ]]/ CPG = 14\19 | **kleismic[11]** ([[xenharmonic/4L 7s|4L+7s ]]/ CPG = 14\19) | ||
||~ UDP ||~ steps ||~ degrees ||~ note names ||~ comments || | ||~ UDP ||~ steps ||~ degrees ||~ note names ||~ comments || | ||
|| 10|0 || 3 1 3 1 1 3 1 1 3 1 1 || 0 3 4 7 8 9 12 13 14 17 18 || C D D# E# F F# G# Ab A B B# || || | || 10|0 || 3 1 3 1 1 3 1 1 3 1 1 || 0 3 4 7 8 9 12 13 14 17 18 || C D D# E# F F# G# Ab A B B# || || | ||
| Line 158: | Line 159: | ||
|| 0|10 || 1 1 3 1 1 3 1 1 3 1 3 || 0 1 2 5 6 7 10 11 12 15 16 || C C# Db Eb E E# Gb G G# A# Bb || || | || 0|10 || 1 1 3 1 1 3 1 1 3 1 3 || 0 1 2 5 6 7 10 11 12 15 16 || C C# Db Eb E E# Gb G G# A# Bb || || | ||
**kleismic[15]** ([[xenharmonic/4L 3s|4L+11s ]]/ CPG = 14\19 | **kleismic[15]** ([[xenharmonic/4L 3s|4L+11s ]]/ CPG = 14\19) | ||
||~ | ||~ UDP ||~ steps ||~ degrees ||~ note names || | ||
|| | || 14|0 || 2 1 1 2 1 1 1 2 1 1 1 2 1 1 1 || 0 2 3 4 6 7 8 9 11 12 13 14 16 17 18 || C Db D D# E E# F F# G G# Ab A Bb B B# || | ||
|| | || 13|1 || 2 1 1 1 2 1 1 2 1 1 1 2 1 1 1 || 0 2 3 4 5 7 8 9 11 12 13 14 16 17 18 || C Db D D# Eb E# F F# G G# Ab A Bb B B# || | ||
|| | || 12|2 || 2 1 1 1 2 1 1 1 2 1 1 2 1 1 1 || 0 2 3 4 5 7 8 9 10 12 13 14 16 17 18 || C Db D D# Eb E# F F# Gb G# Ab A Bb B B# || | ||
|| | || 11|3 || 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 || 0 2 3 4 5 7 8 9 10 12 13 14 15 17 18 || C Db D D# Eb E# F F# Gb G# Ab A A# B B# || | ||
|| | || 10|4 || 1 2 1 1 2 1 1 1 2 1 1 1 2 1 1 || 0 1 3 4 5 7 8 9 10 12 13 14 15 17 18 || C C# D D# Eb E# F F# Gb G# Ab A A# B B# || | ||
|| | || 9|5 || 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 || 0 1 3 4 5 6 8 9 10 12 13 14 15 17 18 || C C# D D# Eb E F F# Gb G# Ab A A# B B# || | ||
|| | || 8|6 || 1 2 1 1 1 2 1 1 1 2 1 1 2 1 1 || 0 1 3 4 5 6 8 9 10 11 13 14 15 17 18 || C C# D D# Eb E F F# Gb G Ab A A# B B# || | ||
|| | || 7|7 || 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 || 0 1 3 4 5 6 8 9 10 11 13 14 15 16 18 || C C# D D# Eb E F F# Gb G Ab A A# Bb B# || | ||
|| | || 6|8 || 1 1 2 1 1 2 1 1 1 2 1 1 1 2 1 || 0 1 2 4 5 6 8 9 10 11 13 14 15 16 18 || C C# Db D# Eb E F F# Gb G Ab A A# Bb B# || | ||
|| | || 5|9 || 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 || 0 1 2 4 5 6 7 9 10 11 13 14 15 16 18 || C C# Db D# Eb E E# F# Gb G Ab A A# Bb B# || | ||
|| | || 4|10 || 1 1 2 1 1 1 2 1 1 1 2 1 1 2 1 || 0 1 2 4 5 6 7 9 10 11 12 14 15 16 18 || C C# Db D# Eb E E# F# Gb G G# A A# Bb B# || | ||
|| | || 3|11 || 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 || 0 1 2 4 5 6 7 9 10 11 12 14 15 16 17 || C C# Db D# Eb E E# F# Gb G G# A A# Bb B || | ||
|| | || 2|12 || 1 1 1 2 1 1 2 1 1 1 2 1 1 1 2 || 0 1 2 3 5 6 7 9 10 11 12 14 15 16 17 || C C# Db D Eb E E# F# Gb G G# A A# Bb B || | ||
|| | || 1|13 || 1 1 1 2 1 1 1 2 1 1 2 1 1 1 2 || 0 1 2 3 5 6 7 8 10 11 12 14 15 16 17 || C C# Db D Eb E E# F Gb G G# A A# Bb B || | ||
|| | || 0|14 || 1 1 1 2 1 1 1 2 1 1 1 2 1 1 2 || 0 1 2 3 5 6 7 8 10 11 12 13 15 16 17 || C C# Db D Eb E E# F Gb G G# Ab A# Bb B || | ||
| Line 189: | Line 190: | ||
|| 0|6 || 1 1 5 1 5 1 5 || 0 1 2 7 8 13 14 || C C# Db E# F Ab A || | || 0|6 || 1 1 5 1 5 1 5 || 0 1 2 7 8 13 14 || C C# Db E# F Ab A || | ||
**magic[10]** ([[3L 7s|3L+7s]] / CPG = 6\19 | **magic[10]** ([[3L 7s|3L+7s]] / CPG = 6\19) | ||
||~ UDP ||~ steps ||~ degrees ||~ note names || | ||~ UDP ||~ steps ||~ degrees ||~ note names || | ||
|| 9|0 || 4 1 1 4 1 1 4 1 1 1 || 0 4 5 6 10 11 12 16 17 18 || C D# Eb E Gb G G# Bb B B# || | || 9|0 || 4 1 1 4 1 1 4 1 1 1 || 0 4 5 6 10 11 12 16 17 18 || C D# Eb E Gb G G# Bb B B# || | ||
| Line 218: | Line 219: | ||
|| 0|12 || 1 1 1 1 3 1 1 1 3 1 1 1 3 || 0 1 2 3 4 7 8 9 10 13 14 15 16 || C C# Db D D# E# F F# Gb Ab A A# Bb || | || 0|12 || 1 1 1 1 3 1 1 1 3 1 1 1 3 || 0 1 2 3 4 7 8 9 10 13 14 15 16 || C C# Db D D# E# F F# Gb Ab A A# Bb || | ||
**magic[16]** ([[3L 13s|3L+13s]] / CPG = 6\19 | **magic[16]** ([[3L 13s|3L+13s]] / CPG = 6\19) | ||
||~ | ||~ UDP ||~ steps ||~ degrees ||~ note names || | ||
|| | || 15|0 || 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 || 0 2 3 4 5 6 8 9 10 11 12 14 15 16 17 18 || C Db D D# Eb E F F# Gb G G# A A# Bb B B# || | ||
|| | || 14|1 || 2 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 || 0 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18 || C Db D D# Eb E F F# Gb G G# Ab A# Bb B B# || | ||
|| | || 13|2 || 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 || 0 2 3 4 5 6 7 9 10 11 12 13 15 16 17 18 || C Db D D# Eb E E# F# Gb G G# Ab A# Bb B B# || | ||
|| | || 12|3 || 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 || 0 1 3 4 5 6 7 9 10 11 12 13 15 16 17 18 || C C# D D# Eb E E# F# Gb G G# Ab A# Bb B B# || | ||
|| | || 11|4 || 1 2 1 1 1 1 2 1 1 1 1 1 2 1 1 1 || 0 1 3 4 5 6 7 9 10 11 12 13 14 16 17 18 || C C# D D# Eb E E# F# Gb G G# Ab A Bb B B# || | ||
|| | || 10|5 || 1 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1 || 0 1 3 4 5 6 7 8 10 11 12 13 14 16 17 18 || C C# D D# Eb E E# F Gb G G# Ab A Bb B B# || | ||
|| | || 9|6 || 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 || 0 1 2 4 5 6 7 8 10 11 12 13 14 16 17 18 || C C# Db D# Eb E E# F Gb G G# Ab A Bb B B# || | ||
|| | || 8|7 || 1 1 2 1 1 1 1 2 1 1 1 1 1 2 1 1 || 0 1 2 4 5 6 7 8 10 11 12 13 14 15 17 18 || C C# Db D# Eb E E# F Gb G G# Ab A A# B B# || | ||
|| | || 7|8 || 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1 1 || 0 1 2 4 5 6 7 8 9 11 12 13 14 15 17 18 || C C# Db D# Eb E E# F F# G G# Ab A A# B B# || | ||
|| | || 6|9 || 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 || 0 1 2 3 5 6 7 8 9 11 12 13 14 15 17 18 || C C# Db D Eb E E# F F# G G# Ab A A# B B# || | ||
|| | || 5|10 || 1 1 1 2 1 1 1 1 2 1 1 1 1 1 2 1 || 0 1 2 3 5 6 7 8 9 11 12 13 14 15 16 18 || C C# Db D Eb E E# F F# G G# Ab A A# Bb B# || | ||
|| | || 4|11 || 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1 || 0 1 2 3 5 6 7 8 9 10 12 13 14 15 16 18 || C C# Db D Eb E E# F F# Gb G# Ab A A# Bb B# || | ||
|| | || 3|12 || 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 || 0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 18 || C C# Db D D# E E# F F# Gb G# Ab A A# Bb B# || | ||
|| | || 2|13 || 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 2 || 0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 17 || C C# Db D D# E E# F F# Gb G# Ab A A# Bb B || | ||
|| | || 1|14 || 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 || 0 1 2 3 4 6 7 8 9 10 11 13 14 15 16 17 || C C# Db D D# E E# F F# Gb G Ab A A# Bb B || | ||
|| | || 0|15 || 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 || 0 1 2 3 4 5 7 8 9 10 11 13 14 15 16 17 || C C# Db D D# Eb E# F F# Gb G Ab A A# Bb B || | ||
==[[sensi|Sensi]]== | ==[[sensi|Sensi]]== | ||
| Line 293: | Line 294: | ||
|| 0|6 || 2 3 3 2 3 3 3 || 0 2 5 8 10 13 16 || C Db Eb F Gb Ab Bb || Locrian || | || 0|6 || 2 3 3 2 3 3 3 || 0 2 5 8 10 13 16 || C Db Eb F Gb Ab Bb || Locrian || | ||
**meantone[12]** ([[7L 5s|7L+5s]] / CPG = 8\19 | **meantone[12]** ([[7L 5s|7L+5s]] / CPG = 8\19) | ||
||~ UDP ||~ steps ||~ degrees ||~ note names ||~ comments || | ||~ UDP ||~ steps ||~ degrees ||~ note names ||~ comments || | ||
|| 11|0 || 2 2 1 2 1 2 2 1 2 1 2 1 || 0 2 4 5 7 8 10 12 13 15 16 18 || C Db D# Eb E# F Gb G# Ab A# Bb B# || || | || 11|0 || 2 2 1 2 1 2 2 1 2 1 2 1 || 0 2 4 5 7 8 10 12 13 15 16 18 || C Db D# Eb E# F Gb G# Ab A# Bb B# || || | ||
| Line 355: | Line 356: | ||
MOS scales of sizes 13, 15, and 17 also exist, and follow a similar pattern: | MOS scales of sizes 13, 15, and 17 also exist, and follow a similar pattern: | ||
**[13]** 4111114111111 | **liese[13]** 4111114111111 etc. | ||
**[15]** 311111131111111 | **liese[15]** 311111131111111 etc. | ||
**[17]** 21111111211111111 | **liese[17]** 21111111211111111 etc. | ||
| Line 1,217: | Line 1,218: | ||
<br /> | <br /> | ||
<strong>godzilla[14]</strong> (<a class="wiki_link" href="/5L%209s">5L+9s </a>/ CPG = 4\19 | <strong>godzilla[14]</strong> (<a class="wiki_link" href="/5L%209s">5L+9s </a>/ CPG = 4\19)<br /> | ||
| Line 1,224: | Line 1,225: | ||
<th>UDP<br /> | <th>UDP<br /> | ||
</th> | </th> | ||
<th> | <th>steps<br /> | ||
</th> | </th> | ||
<th> | <th>degrees<br /> | ||
</th> | </th> | ||
<th>note names<br /> | <th>note names<br /> | ||
| Line 1,234: | Line 1,235: | ||
<td>13|0<br /> | <td>13|0<br /> | ||
</td> | </td> | ||
<td> | <td>2 1 2 1 1 2 1 1 2 1 1 2 1 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 3 5 6 7 9 10 11 13 14 15 17 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C Db D Eb E E# F# Gb G Ab A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,244: | Line 1,245: | ||
<td>12|1<br /> | <td>12|1<br /> | ||
</td> | </td> | ||
<td>1 1 2 | <td>2 1 1 2 1 2 1 1 2 1 1 2 1 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 3 4 6 7 9 10 11 13 14 15 17 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C Db D D# E E# F# Gb G Ab A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,254: | Line 1,255: | ||
<td>11|2<br /> | <td>11|2<br /> | ||
</td> | </td> | ||
<td>1 1 2 1 1 2 1 2 1 1 2 1 1 | <td>2 1 1 2 1 1 2 1 2 1 1 2 1 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 3 4 6 7 8 10 11 13 14 15 17 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C Db D D# E E# F Gb G Ab A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,264: | Line 1,265: | ||
<td>10|3<br /> | <td>10|3<br /> | ||
</td> | </td> | ||
<td>1 1 2 1 2 1 1 2 | <td>2 1 1 2 1 1 2 1 1 2 1 2 1 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 3 4 6 7 8 10 11 12 14 15 17 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C Db D D# E E# F Gb G G# A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,274: | Line 1,275: | ||
<td>9|4<br /> | <td>9|4<br /> | ||
</td> | </td> | ||
<td> | <td>2 1 1 2 1 1 2 1 1 2 1 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 3 4 6 7 8 10 11 12 14 15 16 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C Db D D# E E# F Gb G G# A A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,284: | Line 1,285: | ||
<td>8|5<br /> | <td>8|5<br /> | ||
</td> | </td> | ||
<td>1 2 | <td>1 2 1 2 1 1 2 1 1 2 1 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 1 3 4 | <td>0 1 3 4 6 7 8 10 11 12 14 15 16 18<br /> | ||
</td> | </td> | ||
<td>C C# D D# | <td>C C# D D# E E# F Gb G G# A A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,294: | Line 1,295: | ||
<td>7|6<br /> | <td>7|6<br /> | ||
</td> | </td> | ||
<td>1 2 1 1 2 1 1 | <td>1 2 1 1 2 1 2 1 1 2 1 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 1 3 4 5 7 8 | <td>0 1 3 4 5 7 8 10 11 12 14 15 16 18<br /> | ||
</td> | </td> | ||
<td>C C# D D# Eb E# F | <td>C C# D D# Eb E# F Gb G G# A A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,304: | Line 1,305: | ||
<td>6|7<br /> | <td>6|7<br /> | ||
</td> | </td> | ||
<td>1 2 1 1 2 1 2 | <td>1 2 1 1 2 1 1 2 1 2 1 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 1 3 4 5 7 8 | <td>0 1 3 4 5 7 8 9 11 12 14 15 16 18<br /> | ||
</td> | </td> | ||
<td>C C# D D# Eb E# F | <td>C C# D D# Eb E# F F# G G# A A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,314: | Line 1,315: | ||
<td>5|8<br /> | <td>5|8<br /> | ||
</td> | </td> | ||
<td>1 2 1 2 1 1 2 1 1 2 | <td>1 2 1 1 2 1 1 2 1 1 2 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 1 3 4 | <td>0 1 3 4 5 7 8 9 11 12 13 15 16 18<br /> | ||
</td> | </td> | ||
<td>C C# D D# | <td>C C# D D# Eb E# F F# G G# Ab A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,324: | Line 1,325: | ||
<td>4|9<br /> | <td>4|9<br /> | ||
</td> | </td> | ||
<td>2 1 1 2 1 1 2 1 1 2 1 1 2 | <td>1 2 1 1 2 1 1 2 1 1 2 1 1 2<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 1 3 4 5 7 8 9 11 12 13 15 16 17<br /> | ||
</td> | </td> | ||
<td>C | <td>C C# D D# Eb E# F F# G G# Ab A# Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,334: | Line 1,335: | ||
<td>3|10<br /> | <td>3|10<br /> | ||
</td> | </td> | ||
<td> | <td>1 1 2 1 2 1 1 2 1 1 2 1 1 2<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 1 2 4 5 7 8 9 11 12 13 15 16 17<br /> | ||
</td> | </td> | ||
<td>C Db | <td>C C# Db D# Eb E# F F# G G# Ab A# Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,344: | Line 1,345: | ||
<td>2|11<br /> | <td>2|11<br /> | ||
</td> | </td> | ||
<td> | <td>1 1 2 1 1 2 1 2 1 1 2 1 1 2<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 1 2 4 5 6 8 9 11 12 13 15 16 17<br /> | ||
</td> | </td> | ||
<td>C Db | <td>C C# Db D# Eb E F F# G G# Ab A# Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,354: | Line 1,355: | ||
<td>1|12<br /> | <td>1|12<br /> | ||
</td> | </td> | ||
<td> | <td>1 1 2 1 1 2 1 1 2 1 2 1 1 2<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 1 2 4 5 6 8 9 10 12 13 15 16 17<br /> | ||
</td> | </td> | ||
<td>C Db | <td>C C# Db D# Eb E F F# Gb G# Ab A# Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,364: | Line 1,365: | ||
<td>0|13<br /> | <td>0|13<br /> | ||
</td> | </td> | ||
<td> | <td>1 1 2 1 1 2 1 1 2 1 1 2 1 2<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 1 2 4 5 6 8 9 10 12 13 14 16 17<br /> | ||
</td> | </td> | ||
<td>C Db D Eb E | <td>C C# Db D# Eb E F F# Gb G# Ab A Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
</table> | </table> | ||
<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:13:&lt;h2&gt; --><h2 id="toc6"><a name="MOS scales and modes of rank-2 temperaments-Kleismic / Hanson"></a><!-- ws:end:WikiTextHeadingRule:13 --><a class="wiki_link" href="/Kleismic%20family">Kleismic / Hanson</a></h2> | <!-- ws:start:WikiTextHeadingRule:13:&lt;h2&gt; --><h2 id="toc6"><a name="MOS scales and modes of rank-2 temperaments-Kleismic / Hanson"></a><!-- ws:end:WikiTextHeadingRule:13 --><a class="wiki_link" href="/Kleismic%20family">Kleismic / Hanson</a></h2> | ||
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<br /> | <br /> | ||
<strong>kleismic[11]</strong> (<a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%207s">4L+7s </a>/ CPG = 14\19 | <strong>kleismic[11]</strong> (<a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%207s">4L+7s </a>/ CPG = 14\19)<br /> | ||
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<br /> | <br /> | ||
<strong>kleismic[15]</strong> (<a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%203s">4L+11s </a>/ CPG = 14\19 | <strong>kleismic[15]</strong> (<a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%203s">4L+11s </a>/ CPG = 14\19)<br /> | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<th | <th>UDP<br /> | ||
</th> | </th> | ||
<th | <th>steps<br /> | ||
</th> | </th> | ||
<th | <th>degrees<br /> | ||
</th> | </th> | ||
<th | <th>note names<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>14|0<br /> | ||
</td> | </td> | ||
<td | <td>2 1 1 2 1 1 1 2 1 1 1 2 1 1 1<br /> | ||
</td> | </td> | ||
<td | <td>0 2 3 4 6 7 8 9 11 12 13 14 16 17 18<br /> | ||
</td> | </td> | ||
<td | <td>C Db D D# E E# F F# G G# Ab A Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>13|1<br /> | ||
</td> | </td> | ||
<td | <td>2 1 1 1 2 1 1 2 1 1 1 2 1 1 1<br /> | ||
</td> | </td> | ||
<td | <td>0 2 3 4 5 7 8 9 11 12 13 14 16 17 18<br /> | ||
</td> | </td> | ||
<td | <td>C Db D D# Eb E# F F# G G# Ab A Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>12|2<br /> | ||
</td> | </td> | ||
<td | <td>2 1 1 1 2 1 1 1 2 1 1 2 1 1 1<br /> | ||
</td> | </td> | ||
<td | <td>0 2 3 4 5 7 8 9 10 12 13 14 16 17 18<br /> | ||
</td> | </td> | ||
<td | <td>C Db D D# Eb E# F F# Gb G# Ab A Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>11|3<br /> | ||
</td> | </td> | ||
<td | <td>2 1 1 1 2 1 1 1 2 1 1 1 2 1 1<br /> | ||
</td> | </td> | ||
<td | <td>0 2 3 4 5 7 8 9 10 12 13 14 15 17 18<br /> | ||
</td> | </td> | ||
<td | <td>C Db D D# Eb E# F F# Gb G# Ab A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>10|4<br /> | ||
</td> | </td> | ||
<td | <td>1 2 1 1 2 1 1 1 2 1 1 1 2 1 1<br /> | ||
</td> | </td> | ||
<td | <td>0 1 3 4 5 7 8 9 10 12 13 14 15 17 18<br /> | ||
</td> | </td> | ||
<td | <td>C C# D D# Eb E# F F# Gb G# Ab A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>9|5<br /> | ||
</td> | </td> | ||
<td | <td>1 2 1 1 1 2 1 1 2 1 1 1 2 1 1<br /> | ||
</td> | </td> | ||
<td | <td>0 1 3 4 5 6 8 9 10 12 13 14 15 17 18<br /> | ||
</td> | </td> | ||
<td | <td>C C# D D# Eb E F F# Gb G# Ab A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>8|6<br /> | ||
</td> | </td> | ||
<td | <td>1 2 1 1 1 2 1 1 1 2 1 1 2 1 1<br /> | ||
</td> | </td> | ||
<td | <td>0 1 3 4 5 6 8 9 10 11 13 14 15 17 18<br /> | ||
</td> | </td> | ||
<td | <td>C C# D D# Eb E F F# Gb G Ab A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>7|7<br /> | ||
</td> | </td> | ||
<td | <td>1 2 1 1 1 2 1 1 1 2 1 1 1 2 1<br /> | ||
</td> | </td> | ||
<td | <td>0 1 3 4 5 6 8 9 10 11 13 14 15 16 18<br /> | ||
</td> | </td> | ||
<td | <td>C C# D D# Eb E F F# Gb G Ab A A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>6|8<br /> | ||
</td> | </td> | ||
<td | <td>1 1 2 1 1 2 1 1 1 2 1 1 1 2 1<br /> | ||
</td> | </td> | ||
<td | <td>0 1 2 4 5 6 8 9 10 11 13 14 15 16 18<br /> | ||
</td> | </td> | ||
<td | <td>C C# Db D# Eb E F F# Gb G Ab A A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>5|9<br /> | ||
</td> | </td> | ||
<td | <td>1 1 2 1 1 1 2 1 1 2 1 1 1 2 1<br /> | ||
</td> | </td> | ||
<td | <td>0 1 2 4 5 6 7 9 10 11 13 14 15 16 18<br /> | ||
</td> | </td> | ||
<td | <td>C C# Db D# Eb E E# F# Gb G Ab A A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>4|10<br /> | ||
</td> | </td> | ||
<td | <td>1 1 2 1 1 1 2 1 1 1 2 1 1 2 1<br /> | ||
</td> | </td> | ||
<td | <td>0 1 2 4 5 6 7 9 10 11 12 14 15 16 18<br /> | ||
</td> | </td> | ||
<td | <td>C C# Db D# Eb E E# F# Gb G G# A A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>3|11<br /> | ||
</td> | </td> | ||
<td | <td>1 1 2 1 1 1 2 1 1 1 2 1 1 1 2<br /> | ||
</td> | </td> | ||
<td | <td>0 1 2 4 5 6 7 9 10 11 12 14 15 16 17<br /> | ||
</td> | </td> | ||
<td | <td>C C# Db D# Eb E E# F# Gb G G# A A# Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>2|12<br /> | ||
</td> | </td> | ||
<td | <td>1 1 1 2 1 1 2 1 1 1 2 1 1 1 2<br /> | ||
</td> | </td> | ||
<td | <td>0 1 2 3 5 6 7 9 10 11 12 14 15 16 17<br /> | ||
</td> | </td> | ||
<td | <td>C C# Db D Eb E E# F# Gb G G# A A# Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>1|13<br /> | ||
</td> | </td> | ||
<td | <td>1 1 1 2 1 1 1 2 1 1 2 1 1 1 2<br /> | ||
</td> | </td> | ||
<td | <td>0 1 2 3 5 6 7 8 10 11 12 14 15 16 17<br /> | ||
</td> | </td> | ||
<td | <td>C C# Db D Eb E E# F Gb G G# A A# Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>0|14<br /> | ||
</td> | </td> | ||
<td | <td>1 1 1 2 1 1 1 2 1 1 1 2 1 1 2<br /> | ||
</td> | </td> | ||
<td | <td>0 1 2 3 5 6 7 8 10 11 12 13 15 16 17<br /> | ||
</td> | </td> | ||
<td | <td>C C# Db D Eb E E# F Gb G G# Ab A# Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<br /> | <br /> | ||
<strong>magic[10]</strong> (<a class="wiki_link" href="/3L%207s">3L+7s</a> / CPG = 6\19 | <strong>magic[10]</strong> (<a class="wiki_link" href="/3L%207s">3L+7s</a> / CPG = 6\19)<br /> | ||
| Line 2,151: | Line 2,153: | ||
<br /> | <br /> | ||
<strong>magic[16]</strong> (<a class="wiki_link" href="/3L%2013s">3L+13s</a> / CPG = 6\19 | <strong>magic[16]</strong> (<a class="wiki_link" href="/3L%2013s">3L+13s</a> / CPG = 6\19)<br /> | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<th | <th>UDP<br /> | ||
</th> | </th> | ||
<th | <th>steps<br /> | ||
</th> | </th> | ||
<th | <th>degrees<br /> | ||
</th> | </th> | ||
<th | <th>note names<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>15|0<br /> | ||
</td> | </td> | ||
<td | <td>2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1<br /> | ||
</td> | </td> | ||
<td | <td>0 2 3 4 5 6 8 9 10 11 12 14 15 16 17 18<br /> | ||
</td> | </td> | ||
<td | <td>C Db D D# Eb E F F# Gb G G# A A# Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>14|1<br /> | ||
</td> | </td> | ||
<td | <td>2 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1<br /> | ||
</td> | </td> | ||
<td | <td>0 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18<br /> | ||
</td> | </td> | ||
<td | <td>C Db D D# Eb E F F# Gb G G# Ab A# Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>13|2<br /> | ||
</td> | </td> | ||
<td | <td>2 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1<br /> | ||
</td> | </td> | ||
<td | <td>0 2 3 4 5 6 7 9 10 11 12 13 15 16 17 18<br /> | ||
</td> | </td> | ||
<td | <td>C Db D D# Eb E E# F# Gb G G# Ab A# Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>12|3<br /> | ||
</td> | </td> | ||
<td | <td>1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1<br /> | ||
</td> | </td> | ||
<td | <td>0 1 3 4 5 6 7 9 10 11 12 13 15 16 17 18<br /> | ||
</td> | </td> | ||
<td | <td>C C# D D# Eb E E# F# Gb G G# Ab A# Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>11|4<br /> | ||
</td> | </td> | ||
<td | <td>1 2 1 1 1 1 2 1 1 1 1 1 2 1 1 1<br /> | ||
</td> | </td> | ||
<td | <td>0 1 3 4 5 6 7 9 10 11 12 13 14 16 17 18<br /> | ||
</td> | </td> | ||
<td | <td>C C# D D# Eb E E# F# Gb G G# Ab A Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>10|5<br /> | ||
</td> | </td> | ||
<td | <td>1 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1<br /> | ||
</td> | </td> | ||
<td | <td>0 1 3 4 5 6 7 8 10 11 12 13 14 16 17 18<br /> | ||
</td> | </td> | ||
<td | <td>C C# D D# Eb E E# F Gb G G# Ab A Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>9|6<br /> | ||
</td> | </td> | ||
<td | <td>1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1<br /> | ||
</td> | </td> | ||
<td | <td>0 1 2 4 5 6 7 8 10 11 12 13 14 16 17 18<br /> | ||
</td> | </td> | ||
<td | <td>C C# Db D# Eb E E# F Gb G G# Ab A Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>8|7<br /> | ||
</td> | </td> | ||
<td | <td>1 1 2 1 1 1 1 2 1 1 1 1 1 2 1 1<br /> | ||
</td> | </td> | ||
<td | <td>0 1 2 4 5 6 7 8 10 11 12 13 14 15 17 18<br /> | ||
</td> | </td> | ||
<td | <td>C C# Db D# Eb E E# F Gb G G# Ab A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>7|8<br /> | ||
</td> | </td> | ||
<td | <td>1 1 2 1 1 1 1 1 2 1 1 1 1 2 1 1<br /> | ||
</td> | </td> | ||
<td | <td>0 1 2 4 5 6 7 8 9 11 12 13 14 15 17 18<br /> | ||
</td> | </td> | ||
<td | <td>C C# Db D# Eb E E# F F# G G# Ab A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>6|9<br /> | ||
</td> | </td> | ||
<td | <td>1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1<br /> | ||
</td> | </td> | ||
<td | <td>0 1 2 3 5 6 7 8 9 11 12 13 14 15 17 18<br /> | ||
</td> | </td> | ||
<td | <td>C C# Db D Eb E E# F F# G G# Ab A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>5|10<br /> | ||
</td> | </td> | ||
<td | <td>1 1 1 2 1 1 1 1 2 1 1 1 1 1 2 1<br /> | ||
</td> | </td> | ||
<td | <td>0 1 2 3 5 6 7 8 9 11 12 13 14 15 16 18<br /> | ||
</td> | </td> | ||
<td | <td>C C# Db D Eb E E# F F# G G# Ab A A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>4|11<br /> | ||
</td> | </td> | ||
<td | <td>1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1<br /> | ||
</td> | </td> | ||
<td | <td>0 1 2 3 5 6 7 8 9 10 12 13 14 15 16 18<br /> | ||
</td> | </td> | ||
<td | <td>C C# Db D Eb E E# F F# Gb G# Ab A A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>3|12<br /> | ||
</td> | </td> | ||
<td | <td>1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1<br /> | ||
</td> | </td> | ||
<td | <td>0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 18<br /> | ||
</td> | </td> | ||
<td | <td>C C# Db D D# E E# F F# Gb G# Ab A A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>2|13<br /> | ||
</td> | </td> | ||
<td | <td>1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 2<br /> | ||
</td> | </td> | ||
<td | <td>0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 17<br /> | ||
</td> | </td> | ||
<td | <td>C C# Db D D# E E# F F# Gb G# Ab A A# Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>1|14<br /> | ||
</td> | </td> | ||
<td | <td>1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2<br /> | ||
</td> | </td> | ||
<td | <td>0 1 2 3 4 6 7 8 9 10 11 13 14 15 16 17<br /> | ||
</td> | </td> | ||
<td | <td>C C# Db D D# E E# F F# Gb G Ab A A# Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td>0|15<br /> | ||
</td> | </td> | ||
<td | <td>1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2<br /> | ||
</td> | </td> | ||
<td | <td>0 1 2 3 4 5 7 8 9 10 11 13 14 15 16 17<br /> | ||
</td> | </td> | ||
<td | <td>C C# Db D D# Eb E# F F# Gb G Ab A A# Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 2,806: | Line 2,808: | ||
<br /> | <br /> | ||
<strong>meantone[12]</strong> (<a class="wiki_link" href="/7L%205s">7L+5s</a> / CPG = 8\19 | <strong>meantone[12]</strong> (<a class="wiki_link" href="/7L%205s">7L+5s</a> / CPG = 8\19)<br /> | ||
| Line 3,360: | Line 3,362: | ||
<br /> | <br /> | ||
MOS scales of sizes 13, 15, and 17 also exist, and follow a similar pattern:<br /> | MOS scales of sizes 13, 15, and 17 also exist, and follow a similar pattern:<br /> | ||
<strong>[13]</strong> 4111114111111<br /> | <strong>liese[13]</strong> 4111114111111 etc.<br /> | ||
<strong>[15]</strong> 311111131111111<br /> | <strong>liese[15]</strong> 311111131111111 etc.<br /> | ||
<strong>[17]</strong> 21111111211111111<br /> | <strong>liese[17]</strong> 21111111211111111 etc.<br /> | ||
<br /> | <br /> | ||
<br /> | <br /> | ||