Composing with tablets
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- This revision was by author genewardsmith and made on 2011-09-27 15:10:09 UTC.
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Perhaps the first thing to note about the use of [[tablets]] as an aid to composition is that while the tablet for a given note is always non-unique, it can become unique if we require all of the notes sounding in a particular chord to share the same chord identifier, and this is the most basic of ways to make use of tablets. In other words, if c is a chord identifier in a tablet, a chord can often be notated as the set of notes {note(n1, c), note(n2, c), ..., note(nk, c)}, all with the same chord identifier c. If a piece of music uses chords sharing the same note identifier exclusively, we can completely separate the numbers n, the note skeleton, from the sequence of chord identifers, and change each around at will completely independently. Let us consider a simple [[http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/fouredo.mp3|4edo piece]] as a starting point: [0 3 6 9] [0 3 5 10] [0 2 5 11] [0 2 5 12] [0 3 6 13] [0 3 5 14] [0 2 5 15] [0 2 5 16] [0 3 6 9] [0 3 5 10] [0 2 5 11] [0 2 5 12] [0 3 6 13] [0 3 5 14] [0 2 5 15] [0 2 5 16] [0 3 6 9] [0 3 5 10] [0 2 5 11] [0 2 5 12] [0 3 6 9] [0 3 5 10] [0 2 5 11] [0 2 5 12] [0 3 6 9] [0 3 5 10] [0 2 5 11] [0 2 5 12] [0 3 6 9] [0 3 5 10] [0 2 5 11] [0 2 5 12] [0 2 5 11] [0 2 5 11] [0 3 6 9] [0 3 6 9] [0 2 5 11] [0 2 5 11] [0 3 6 9] [0 3 6 9] [0 2 5 11] [0 2 5 11] [0 3 6 9] [0 3 6 9] [0 2 5 11] [0 2 5 11] [0 3 6 9] [0 3 6 9] [0 2 5 16] [0 2 5 15] [0 3 5 14] [0 3 6 13] [0 2 5 12] [0 2 5 11] [0 3 5 10] [0 3 6 9] [0 3 6 8] [0 3 6 8] [0 3 6 8] [0 3 6 8] [0 2 5 8] [0 2 5 8] [0 2 5 8] [0 2 5 8] This has sixteen measures of four notes each. If to each two measures we attach the chord identifier of a [[http://xenharmonic.wikispaces.com/Tablets#The 7-limit 4et tablet|7-limit 4et tablet]], then we may convert all of the 4et notes into 7-limit JI notes by means of the associated chord identifier and therefore by the assoicated tablet. For instance, from the sequence of chords [-1 -1 -1], [0 -1 -1], [0 0 -1], [0 -1 0], [-1 -1 0], [-1 0 -1], [-1 0 0], [0 0 0] we obtain [[http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/diamond.mp3|this piece]].
Original HTML content:
<html><head><title>Composing with tablets</title></head><body>Perhaps the first thing to note about the use of <a class="wiki_link" href="/tablets">tablets</a> as an aid to composition is that while the tablet for a given note is always non-unique, it can become unique if we require all of the notes sounding in a particular chord to share the same chord identifier, and this is the most basic of ways to make use of tablets. In other words, if c is a chord identifier in a tablet, a chord can often be notated as the set of notes {note(n1, c), note(n2, c), ..., note(nk, c)}, all with the same chord identifier c. If a piece of music uses chords sharing the same note identifier exclusively, we can completely separate the numbers n, the note skeleton, from the sequence of chord identifers, and change each around at will completely independently.<br /> <br /> Let us consider a simple <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/fouredo.mp3" rel="nofollow">4edo piece</a> as a starting point:<br /> <br /> [0 3 6 9]<br /> [0 3 5 10]<br /> [0 2 5 11]<br /> [0 2 5 12]<br /> [0 3 6 13]<br /> [0 3 5 14]<br /> [0 2 5 15]<br /> [0 2 5 16]<br /> [0 3 6 9]<br /> [0 3 5 10]<br /> [0 2 5 11]<br /> [0 2 5 12]<br /> [0 3 6 13]<br /> [0 3 5 14]<br /> [0 2 5 15]<br /> [0 2 5 16]<br /> [0 3 6 9]<br /> [0 3 5 10]<br /> [0 2 5 11]<br /> [0 2 5 12]<br /> [0 3 6 9]<br /> [0 3 5 10]<br /> [0 2 5 11]<br /> [0 2 5 12]<br /> [0 3 6 9]<br /> [0 3 5 10]<br /> [0 2 5 11]<br /> [0 2 5 12]<br /> [0 3 6 9]<br /> [0 3 5 10]<br /> [0 2 5 11]<br /> [0 2 5 12]<br /> [0 2 5 11]<br /> [0 2 5 11]<br /> [0 3 6 9]<br /> [0 3 6 9]<br /> [0 2 5 11]<br /> [0 2 5 11]<br /> [0 3 6 9]<br /> [0 3 6 9]<br /> [0 2 5 11]<br /> [0 2 5 11]<br /> [0 3 6 9]<br /> [0 3 6 9]<br /> [0 2 5 11]<br /> [0 2 5 11]<br /> [0 3 6 9]<br /> [0 3 6 9]<br /> [0 2 5 16]<br /> [0 2 5 15]<br /> [0 3 5 14]<br /> [0 3 6 13]<br /> [0 2 5 12]<br /> [0 2 5 11]<br /> [0 3 5 10]<br /> [0 3 6 9]<br /> [0 3 6 8]<br /> [0 3 6 8]<br /> [0 3 6 8]<br /> [0 3 6 8]<br /> [0 2 5 8]<br /> [0 2 5 8]<br /> [0 2 5 8]<br /> [0 2 5 8]<br /> <br /> This has sixteen measures of four notes each. If to each two measures we attach the chord identifier of a [[<!-- ws:start:WikiTextUrlRule:72:http://xenharmonic.wikispaces.com/Tablets#The --><a href="http://xenharmonic.wikispaces.com/Tablets#The">http://xenharmonic.wikispaces.com/Tablets#The</a><!-- ws:end:WikiTextUrlRule:72 --> 7-limit 4et tablet|7-limit 4et tablet]], then we may convert all of the 4et notes into 7-limit JI notes by means of the associated chord identifier and therefore by the assoicated tablet. For instance, from the sequence of chords [-1 -1 -1], [0 -1 -1], [0 0 -1], [0 -1 0], [-1 -1 0], [-1 0 -1], [-1 0 0], [0 0 0] we obtain <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/diamond.mp3" rel="nofollow">this piece</a>.</body></html>