UDP: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-11-18 19:51:35 UTC</tt>.

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-11-18 19:54:02 UTC</tt>.

: The original revision id was <tt>~~277119718~~</tt>.

: The original revision id was <tt>277120038</tt>.

: The revision comment was: <tt></tt>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

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If m shifts up, then U is such that mU shifts up to the top mode, and D is such that mD shifts down to the bottom mode; if m shifts down we reverse this so that -mD shifts up to the top mode and -mU to the bottom mode. If S is a periodic scale S such that the repetition interval **O** is some fraction 1/P of an octave, then the UDP notation for a given mode of a MOS is U|D(P). If P=1 we may omit it and just write U|D.

For example, consider the quasiperiodic function Lydian[i] with period 7 whose argument is the top row and value the bottom row of the following table:

For example, consider the quasiperiodic function Lydian(i) with period 7 whose argument is the top row and value the bottom row of the following table:

|| -5 || -4 || -3 || -2 || -1 || 0 || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || 10 || 11 || 12 || 13 || 14 || 15 ||

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If m shifts up, then U is such that mU shifts up to the top mode, and D is such that mD shifts down to the bottom mode; if m shifts down we reverse this so that -mD shifts up to the top mode and -mU to the bottom mode. If S is a periodic scale S such that the repetition interval O is some fraction 1/P of an octave, then the UDP notation for a given mode of a MOS is U|D(P). If P=1 we may omit it and just write U|D.

For example, consider the quasiperiodic function Lydian[i] with period 7 whose argument is the top row and value the bottom row of the following table:

For example, consider the quasiperiodic function Lydian(i) with period 7 whose argument is the top row and value the bottom row of the following table:

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2011-11-18 19:51:35 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-11-18 19:54:02 UTC</tt>.<br>
-: The original revision id was <tt>277119718</tt>.<br>
+: The original revision id was <tt>277120038</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>
@@ Line 20: / Line 20: @@
 If m shifts up, then U is such that mU shifts up to the top mode, and D is such that mD shifts down to the bottom mode; if m shifts down we reverse this so that -mD shifts up to the top mode and -mU to the bottom mode. If S is a periodic scale S such that the repetition interval **O** is some fraction 1/P of an octave, then the UDP notation for a given mode of a MOS is U|D(P). If P=1 we may omit it and just write U|D.
-For example, consider the quasiperiodic function Lydian[i] with period 7 whose argument is the top row and value the bottom row of the following table:
+For example, consider the quasiperiodic function Lydian(i) with period 7 whose argument is the top row and value the bottom row of the following table:
 || -5 || -4 || -3 || -2 || -1 || 0 || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || 10 || 11 || 12 || 13 || 14 || 15 ||
@@ Line 97: / Line 97: @@
 If m shifts up, then U is such that mU shifts up to the top mode, and D is such that mD shifts down to the bottom mode; if m shifts down we reverse this so that -mD shifts up to the top mode and -mU to the bottom mode. If S is a periodic scale S such that the repetition interval &lt;strong&gt;O&lt;/strong&gt; is some fraction 1/P of an octave, then the UDP notation for a given mode of a MOS is U|D(P). If P=1 we may omit it and just write U|D.&lt;br /&gt;
 &lt;br /&gt;
-For example, consider the quasiperiodic function Lydian[i] with period 7 whose argument is the top row and value the bottom row of the following table:&lt;br /&gt;
+For example, consider the quasiperiodic function Lydian(i) with period 7 whose argument is the top row and value the bottom row of the following table:&lt;br /&gt;
 &lt;br /&gt;