Composing with tablets: Difference between revisions
Wikispaces>genewardsmith **Imported revision 258923392 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 259427150 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-09-28 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-28 20:54:02 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>259427150</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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This is not, of course, the only way to transform the original tonality diamond piece into one in the stellated hexany. More or less at random we could try converting the chord identifier [a b c] to [-a -c -b]; this sort of transformation will send two related chords to another pair of related chords. Doing this leads to the following [[http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/rella.mp3|piece]]. But we have perfect freedom to choose our chord identifiers however we like; we could for example use [0 0 0], [0 1 -1], [0 2 -1], [0 2 -2], [0 3 -2], [0 3 -3], [1 3 -3], [2 3 -3]. This modulates upwards by 2401/2400, and leads to the following [[http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/stella.mp3|piece]]. | This is not, of course, the only way to transform the original tonality diamond piece into one in the stellated hexany. More or less at random we could try converting the chord identifier [a b c] to [-a -c -b]; this sort of transformation will send two related chords to another pair of related chords. Doing this leads to the following [[http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/rella.mp3|piece]]. But we have perfect freedom to choose our chord identifiers however we like; we could for example use [0 0 0], [0 1 -1], [0 2 -1], [0 2 -2], [0 3 -2], [0 3 -3], [1 3 -3], [2 3 -3]. This modulates upwards by 2401/2400, and leads to the following [[http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/stella.mp3|piece]]. | ||
Because the keenanismic tablet also makes use of 4et, we can take the same 4et melodic skeleton we started with and add chords for a progression of keenanismic tablets. If we use [1 1 1], [1 1 1], | |||
[0 3 1], [1 4 0], [0 5 -1], [1 5 -3], [3 4 -4], [4 4 -6], [5 4 -8], | |||
[4 5 -9], [5 5 -11], [4 7 -11], [5 8 -12], [4 9 -13], [5 9 -15], | |||
[5 9 -15] as the sixteen keenanismic tetrads for the sixteen measures of the 4et piece, we obtain the following [[http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/keenm.mp3|piece]]. This in theory transposes up 2401/2400 again, but it does very little tuning damage to temper it out, leading to agni temperament. The tuning used here, 284et, tempers out both 2401/2400 and 385/384. | |||
</pre></div> | </pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
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This traverses all eight tetrads of the 7-limit tonality diamond, a scale of thirteen notes. But since we have the piece in tablet form, it is easy to transform it in a variety of ways. For instance, we may add [1 1 1] to each chord identifier. This makes for a <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/stella.mp3" rel="nofollow">piece</a> which traverses the stellated hexany, a scale of fourteen notes. The rather surprising increase from thirteen to fourteen notes is possible since each scale has 32 tablets to each octave, but more than one tablet corresponds to each note. The 32 tablets of the diamond, corresponding to thirteen notes, transform to the 32 tablets of the stellated hexany, corresponding to fourteen notes.<br /> | This traverses all eight tetrads of the 7-limit tonality diamond, a scale of thirteen notes. But since we have the piece in tablet form, it is easy to transform it in a variety of ways. For instance, we may add [1 1 1] to each chord identifier. This makes for a <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/stella.mp3" rel="nofollow">piece</a> which traverses the stellated hexany, a scale of fourteen notes. The rather surprising increase from thirteen to fourteen notes is possible since each scale has 32 tablets to each octave, but more than one tablet corresponds to each note. The 32 tablets of the diamond, corresponding to thirteen notes, transform to the 32 tablets of the stellated hexany, corresponding to fourteen notes.<br /> | ||
<br /> | <br /> | ||
This is not, of course, the only way to transform the original tonality diamond piece into one in the stellated hexany. More or less at random we could try converting the chord identifier [a b c] to [-a -c -b]; this sort of transformation will send two related chords to another pair of related chords. Doing this leads to the following <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/rella.mp3" rel="nofollow">piece</a>. But we have perfect freedom to choose our chord identifiers however we like; we could for example use [0 0 0], [0 1 -1], [0 2 -1], [0 2 -2], [0 3 -2], [0 3 -3], [1 3 -3], [2 3 -3]. This modulates upwards by 2401/2400, and leads to the following <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/stella.mp3" rel="nofollow">piece</a>.</body></html></pre></div> | This is not, of course, the only way to transform the original tonality diamond piece into one in the stellated hexany. More or less at random we could try converting the chord identifier [a b c] to [-a -c -b]; this sort of transformation will send two related chords to another pair of related chords. Doing this leads to the following <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/rella.mp3" rel="nofollow">piece</a>. But we have perfect freedom to choose our chord identifiers however we like; we could for example use [0 0 0], [0 1 -1], [0 2 -1], [0 2 -2], [0 3 -2], [0 3 -3], [1 3 -3], [2 3 -3]. This modulates upwards by 2401/2400, and leads to the following <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/stella.mp3" rel="nofollow">piece</a>.<br /> | ||
<br /> | |||
Because the keenanismic tablet also makes use of 4et, we can take the same 4et melodic skeleton we started with and add chords for a progression of keenanismic tablets. If we use [1 1 1], [1 1 1], <br /> | |||
[0 3 1], [1 4 0], [0 5 -1], [1 5 -3], [3 4 -4], [4 4 -6], [5 4 -8], <br /> | |||
[4 5 -9], [5 5 -11], [4 7 -11], [5 8 -12], [4 9 -13], [5 9 -15], <br /> | |||
[5 9 -15] as the sixteen keenanismic tetrads for the sixteen measures of the 4et piece, we obtain the following <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/keenm.mp3" rel="nofollow">piece</a>. This in theory transposes up 2401/2400 again, but it does very little tuning damage to temper it out, leading to agni temperament. The tuning used here, 284et, tempers out both 2401/2400 and 385/384.</body></html></pre></div> | |||