22edo tetrachords: Difference between revisions
Wikispaces>guest **Imported revision 86744681 - Original comment: ** |
Wikispaces>guest **Imported revision 86746159 - 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:guest|guest]] and made on <tt>2009-09-02 01: | : This revision was by author [[User:guest|guest]] and made on <tt>2009-09-02 01:35:14 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>86746159</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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Tetrachord details: | Tetrachord details: | ||
|| tetrachord notation || interval names || [[22edo Solfege|solfege]] || notes || | || tetrachord notation || steps in cents || interval names || [[22edo Solfege|solfege]] || notes || | ||
|| 1-1-7 || P1 d2 m2 P4 || do di ra fa || | || 1-1-7 || 55 + 55 + 382 || P1 d2 m2 P4 || do di ra fa || || | ||
|| 1-2-6 || P1 d2 N2 P4 || do di ru fa || | || 1-2-6 || 55 + 109 + 327 || P1 d2 N2 P4 || do di ru fa || || | ||
|| 1-3-5 || P1 d2 M2 P4 || do di re fa || | || 1-3-5 || 55 + 164 + 273 || P1 d2 M2 P4 || do di re fa || || | ||
|| 1-4-4 || P1 d2 sm3 P4 || do di ma fa || found in Superpyth Phrygian | || 1-4-4 || 55 + 218 + 218 || P1 d2 sm3 P4 || do di ma fa || found in Superpyth Phrygian || | ||
|| 1-5-3 || P1 d2 m3 P4 || do di me fa || | || 1-5-3 || 55 + 273 + 164 || P1 d2 m3 P4 || do di me fa || || | ||
|| 1-6-2 || P1 d2 M3 P4 || do di mi fa || | || 1-6-2 || 55 + 327 + 109 || P1 d2 M3 P4 || do di mi fa || || | ||
|| 1-7-1 || P1 d2 SM3 P4 || do di mo fa || | || 1-7-1 || 55 + 382 + 55 || P1 d2 SM3 P4 || do di mo fa || || | ||
|| 2-1-6 || P1 m2 N2 P4 || do ra ru fa || | || 2-1-6 || 109 + 55 + 327 || P1 m2 N2 P4 || do ra ru fa || || | ||
|| 2-2-5 || P1 m2 M2 P4 || do ra re fa || | || 2-2-5 || 109 + 109 + 273 || P1 m2 M2 P4 || do ra re fa || || | ||
|| 2-3-4 || P1 m2 sm3 P4 || do ra ma fa || | || 2-3-4 || 109 + 164 + 218 || P1 m2 sm3 P4 || do ra ma fa || || | ||
|| 2-4-3 || P1 m2 m3 P4 || do ra me fa || | || 2-4-3 || 109 + 218 +165 || P1 m2 m3 P4 || do ra me fa || || | ||
|| 2-5-2 || P1 m2 M3 P4 || do ra mi fa || | || 2-5-2 || 109 + 273 + 109 || P1 m2 M3 P4 || do ra mi fa || || | ||
|| 2-6-1 || P1 m2 SM3 P4 || do ra mo fa || | || 2-6-1 || 109 + 327 + 55 || P1 m2 SM3 P4 || do ra mo fa || || | ||
|| 3-1-5 || P1 N2 M2 P4 || do ru re fa || | || 3-1-5 || 164 + 55 + 273 || P1 N2 M2 P4 || do ru re fa || || | ||
|| 3-2-4 || P1 N2 sm3 P4 || do ru ma fa || | || 3-2-4 || 164 + 109 + 218 || P1 N2 sm3 P4 || do ru ma fa || || | ||
|| 3-3-3 || P1 N2 m3 P4 || do ru me fa || perfectly even tetrachord, found in Porcupine temperament | || 3-3-3 || 164 + 164 +164 || P1 N2 m3 P4 || do ru me fa || perfectly even tetrachord, found in Porcupine temperament || | ||
|| 3-4-2 || P1 N2 M3 P4 || do ru mi fa || | || 3-4-2 || 164 + 218 + 109 || P1 N2 M3 P4 || do ru mi fa || || | ||
|| 3-5-1 || P1 N2 SM3 P4 || do ru mo fa || | || 3-5-1 || 164 + 273 + 55 || P1 N2 SM3 P4 || do ru mo fa || || | ||
|| 4-1-4 || P1 M2 sm3 P4 || do re ma fa || found in Superpyth Minor (& Dorian) | || 4-1-4 || 218 + 55 + 218 || P1 M2 sm3 P4 || do re ma fa || found in Superpyth Minor (& Dorian) || | ||
|| 4-2-3 || P1 M2 m3 P4 || do re me fa || | || 4-2-3 || 218 + 109 + 164 || P1 M2 m3 P4 || do re me fa || || | ||
|| 4-3-2 || P1 M2 M3 P4 || do re mi fa || | || 4-3-2 || 218 + 164 + 109 || P1 M2 M3 P4 || do re mi fa || || | ||
|| 4-4-1 || P1 M2 SM3 P4 || do re mo fa || found in Superpyth Major (& Mixolydian, & Lydian) | || 4-4-1 || 218 + 218 + 55 || P1 M2 SM3 P4 || do re mo fa || found in Superpyth Major (& Mixolydian, & Lydian) || | ||
|| 5-1-3 || P1 sm3 m3 P4 || do ma me fa || | || 5-1-3 || 273 + 55 + 164 || P1 sm3 m3 P4 || do ma me fa || || | ||
|| 5-2-2 || P1 sm3 M3 P4 || do ma mi fa || | || 5-2-2 || 273 + 109 + 109 || P1 sm3 M3 P4 || do ma mi fa || || | ||
|| 5-3-1 || P1 sm3 SM3 P4 || do ma mo fa || | || 5-3-1 || 273 + 164 + 55 || P1 sm3 SM3 P4 || do ma mo fa || || | ||
|| 6-1-2 || P1 m3 M3 P4 || do me mi fa || | || 6-1-2 || 327 + 55 + 109 || P1 m3 M3 P4 || do me mi fa || || | ||
|| 6-2-1 || P1 m3 SM3 P4 || do me mo fa || | || 6-2-1 || 327 + 109 + 55 || P1 m3 SM3 P4 || do me mo fa || || | ||
|| 7-1-1 || P1 M3 SM3 P4 || do mi mo fa || | || 7-1-1 || 382 + 55 + 55 || P1 M3 SM3 P4 || do mi mo fa || <span style="-webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; border-collapse: collapse;"> </span> || | ||
Tetrachords in families: | Tetrachords in families: | ||
| Line 181: | Line 181: | ||
<tr> | <tr> | ||
<td>tetrachord notation<br /> | <td>tetrachord notation<br /> | ||
</td> | |||
<td>steps in cents<br /> | |||
</td> | </td> | ||
<td>interval names<br /> | <td>interval names<br /> | ||
| Line 191: | Line 193: | ||
<tr> | <tr> | ||
<td>1-1-7<br /> | <td>1-1-7<br /> | ||
</td> | |||
<td>55 + 55 + 382<br /> | |||
</td> | </td> | ||
<td>P1 d2 m2 P4<br /> | <td>P1 d2 m2 P4<br /> | ||
| Line 196: | Line 200: | ||
<td>do di ra fa<br /> | <td>do di ra fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1-2-6<br /> | <td>1-2-6<br /> | ||
</td> | |||
<td>55 + 109 + 327<br /> | |||
</td> | </td> | ||
<td>P1 d2 N2 P4<br /> | <td>P1 d2 N2 P4<br /> | ||
| Line 206: | Line 212: | ||
<td>do di ru fa<br /> | <td>do di ru fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1-3-5<br /> | <td>1-3-5<br /> | ||
</td> | |||
<td>55 + 164 + 273<br /> | |||
</td> | </td> | ||
<td>P1 d2 M2 P4<br /> | <td>P1 d2 M2 P4<br /> | ||
| Line 216: | Line 224: | ||
<td>do di re fa<br /> | <td>do di re fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1-4-4<br /> | <td>1-4-4<br /> | ||
</td> | |||
<td>55 + 218 + 218<br /> | |||
</td> | </td> | ||
<td>P1 d2 sm3 P4<br /> | <td>P1 d2 sm3 P4<br /> | ||
| Line 226: | Line 236: | ||
<td>do di ma fa<br /> | <td>do di ma fa<br /> | ||
</td> | </td> | ||
<td>found in Superpyth Phrygian | <td>found in Superpyth Phrygian<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1-5-3<br /> | <td>1-5-3<br /> | ||
</td> | |||
<td>55 + 273 + 164<br /> | |||
</td> | </td> | ||
<td>P1 d2 m3 P4<br /> | <td>P1 d2 m3 P4<br /> | ||
| Line 236: | Line 248: | ||
<td>do di me fa<br /> | <td>do di me fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1-6-2<br /> | <td>1-6-2<br /> | ||
</td> | |||
<td>55 + 327 + 109<br /> | |||
</td> | </td> | ||
<td>P1 d2 M3 P4<br /> | <td>P1 d2 M3 P4<br /> | ||
| Line 246: | Line 260: | ||
<td>do di mi fa<br /> | <td>do di mi fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1-7-1<br /> | <td>1-7-1<br /> | ||
</td> | |||
<td>55 + 382 + 55<br /> | |||
</td> | </td> | ||
<td>P1 d2 SM3 P4<br /> | <td>P1 d2 SM3 P4<br /> | ||
| Line 256: | Line 272: | ||
<td>do di mo fa<br /> | <td>do di mo fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2-1-6<br /> | <td>2-1-6<br /> | ||
</td> | |||
<td>109 + 55 + 327<br /> | |||
</td> | </td> | ||
<td>P1 m2 N2 P4<br /> | <td>P1 m2 N2 P4<br /> | ||
| Line 266: | Line 284: | ||
<td>do ra ru fa<br /> | <td>do ra ru fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2-2-5<br /> | <td>2-2-5<br /> | ||
</td> | |||
<td>109 + 109 + 273<br /> | |||
</td> | </td> | ||
<td>P1 m2 M2 P4<br /> | <td>P1 m2 M2 P4<br /> | ||
| Line 276: | Line 296: | ||
<td>do ra re fa<br /> | <td>do ra re fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2-3-4<br /> | <td>2-3-4<br /> | ||
</td> | |||
<td>109 + 164 + 218<br /> | |||
</td> | </td> | ||
<td>P1 m2 sm3 P4<br /> | <td>P1 m2 sm3 P4<br /> | ||
| Line 286: | Line 308: | ||
<td>do ra ma fa<br /> | <td>do ra ma fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2-4-3<br /> | <td>2-4-3<br /> | ||
</td> | |||
<td>109 + 218 +165<br /> | |||
</td> | </td> | ||
<td>P1 m2 m3 P4<br /> | <td>P1 m2 m3 P4<br /> | ||
| Line 296: | Line 320: | ||
<td>do ra me fa<br /> | <td>do ra me fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2-5-2<br /> | <td>2-5-2<br /> | ||
</td> | |||
<td>109 + 273 + 109<br /> | |||
</td> | </td> | ||
<td>P1 m2 M3 P4<br /> | <td>P1 m2 M3 P4<br /> | ||
| Line 306: | Line 332: | ||
<td>do ra mi fa<br /> | <td>do ra mi fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2-6-1<br /> | <td>2-6-1<br /> | ||
</td> | |||
<td>109 + 327 + 55<br /> | |||
</td> | </td> | ||
<td>P1 m2 SM3 P4<br /> | <td>P1 m2 SM3 P4<br /> | ||
| Line 316: | Line 344: | ||
<td>do ra mo fa<br /> | <td>do ra mo fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>3-1-5<br /> | <td>3-1-5<br /> | ||
</td> | |||
<td>164 + 55 + 273<br /> | |||
</td> | </td> | ||
<td>P1 N2 M2 P4<br /> | <td>P1 N2 M2 P4<br /> | ||
| Line 326: | Line 356: | ||
<td>do ru re fa<br /> | <td>do ru re fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>3-2-4<br /> | <td>3-2-4<br /> | ||
</td> | |||
<td>164 + 109 + 218<br /> | |||
</td> | </td> | ||
<td>P1 N2 sm3 P4<br /> | <td>P1 N2 sm3 P4<br /> | ||
| Line 336: | Line 368: | ||
<td>do ru ma fa<br /> | <td>do ru ma fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>3-3-3<br /> | <td>3-3-3<br /> | ||
</td> | |||
<td>164 + 164 +164<br /> | |||
</td> | </td> | ||
<td>P1 N2 m3 P4<br /> | <td>P1 N2 m3 P4<br /> | ||
| Line 346: | Line 380: | ||
<td>do ru me fa<br /> | <td>do ru me fa<br /> | ||
</td> | </td> | ||
<td>perfectly even tetrachord, found in Porcupine temperament | <td>perfectly even tetrachord, found in Porcupine temperament<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>3-4-2<br /> | <td>3-4-2<br /> | ||
</td> | |||
<td>164 + 218 + 109<br /> | |||
</td> | </td> | ||
<td>P1 N2 M3 P4<br /> | <td>P1 N2 M3 P4<br /> | ||
| Line 356: | Line 392: | ||
<td>do ru mi fa<br /> | <td>do ru mi fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>3-5-1<br /> | <td>3-5-1<br /> | ||
</td> | |||
<td>164 + 273 + 55<br /> | |||
</td> | </td> | ||
<td>P1 N2 SM3 P4<br /> | <td>P1 N2 SM3 P4<br /> | ||
| Line 366: | Line 404: | ||
<td>do ru mo fa<br /> | <td>do ru mo fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>4-1-4<br /> | <td>4-1-4<br /> | ||
</td> | |||
<td>218 + 55 + 218<br /> | |||
</td> | </td> | ||
<td>P1 M2 sm3 P4<br /> | <td>P1 M2 sm3 P4<br /> | ||
| Line 376: | Line 416: | ||
<td>do re ma fa<br /> | <td>do re ma fa<br /> | ||
</td> | </td> | ||
<td>found in Superpyth Minor (&amp; Dorian) | <td>found in Superpyth Minor (&amp; Dorian)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>4-2-3<br /> | <td>4-2-3<br /> | ||
</td> | |||
<td>218 + 109 + 164<br /> | |||
</td> | </td> | ||
<td>P1 M2 m3 P4<br /> | <td>P1 M2 m3 P4<br /> | ||
| Line 386: | Line 428: | ||
<td>do re me fa<br /> | <td>do re me fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>4-3-2<br /> | <td>4-3-2<br /> | ||
</td> | |||
<td>218 + 164 + 109<br /> | |||
</td> | </td> | ||
<td>P1 M2 M3 P4<br /> | <td>P1 M2 M3 P4<br /> | ||
| Line 396: | Line 440: | ||
<td>do re mi fa<br /> | <td>do re mi fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>4-4-1<br /> | <td>4-4-1<br /> | ||
</td> | |||
<td>218 + 218 + 55<br /> | |||
</td> | </td> | ||
<td>P1 M2 SM3 P4<br /> | <td>P1 M2 SM3 P4<br /> | ||
| Line 406: | Line 452: | ||
<td>do re mo fa<br /> | <td>do re mo fa<br /> | ||
</td> | </td> | ||
<td>found in Superpyth Major (&amp; Mixolydian, &amp; Lydian) | <td>found in Superpyth Major (&amp; Mixolydian, &amp; Lydian)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>5-1-3<br /> | <td>5-1-3<br /> | ||
</td> | |||
<td>273 + 55 + 164<br /> | |||
</td> | </td> | ||
<td>P1 sm3 m3 P4<br /> | <td>P1 sm3 m3 P4<br /> | ||
| Line 416: | Line 464: | ||
<td>do ma me fa<br /> | <td>do ma me fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>5-2-2<br /> | <td>5-2-2<br /> | ||
</td> | |||
<td>273 + 109 + 109<br /> | |||
</td> | </td> | ||
<td>P1 sm3 M3 P4<br /> | <td>P1 sm3 M3 P4<br /> | ||
| Line 426: | Line 476: | ||
<td>do ma mi fa<br /> | <td>do ma mi fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>5-3-1<br /> | <td>5-3-1<br /> | ||
</td> | |||
<td>273 + 164 + 55<br /> | |||
</td> | </td> | ||
<td>P1 sm3 SM3 P4<br /> | <td>P1 sm3 SM3 P4<br /> | ||
| Line 436: | Line 488: | ||
<td>do ma mo fa<br /> | <td>do ma mo fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>6-1-2<br /> | <td>6-1-2<br /> | ||
</td> | |||
<td>327 + 55 + 109<br /> | |||
</td> | </td> | ||
<td>P1 m3 M3 P4<br /> | <td>P1 m3 M3 P4<br /> | ||
| Line 446: | Line 500: | ||
<td>do me mi fa<br /> | <td>do me mi fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>6-2-1<br /> | <td>6-2-1<br /> | ||
</td> | |||
<td>327 + 109 + 55<br /> | |||
</td> | </td> | ||
<td>P1 m3 SM3 P4<br /> | <td>P1 m3 SM3 P4<br /> | ||
| Line 456: | Line 512: | ||
<td>do me mo fa<br /> | <td>do me mo fa<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>7-1-1<br /> | <td>7-1-1<br /> | ||
</td> | |||
<td>382 + 55 + 55<br /> | |||
</td> | </td> | ||
<td>P1 M3 SM3 P4<br /> | <td>P1 M3 SM3 P4<br /> | ||
| Line 466: | Line 524: | ||
<td>do mi mo fa<br /> | <td>do mi mo fa<br /> | ||
</td> | </td> | ||
<td> | <td><span style="-webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; border-collapse: collapse;"> </span><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||