Composing with tablets: Difference between revisions
Wikispaces>genewardsmith **Imported revision 258919444 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 258923392 - 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 00: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-28 00:44:47 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>258923392</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 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 [[http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/stella.mp3|piece]] 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. | 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 [[http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/stella.mp3|piece]] 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. | ||
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 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]]. | ||
</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 piece.</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>.</body></html></pre></div> | ||