UDP: Difference between revisions
Wikispaces>mbattaglia1 **Imported revision 279064020 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 508626614 - 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: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-05-13 12:44:38 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>508626614</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">=Modal UDP Notation= | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">=Modal UDP Notation= | ||
Modal UDP notation is a way to uniquely specify a particular mode of any MOS. Its name is derived from up|down(period), or U|D(P). If accidentals are specified, it can also refer to the MODMOS's of those MOS's as well. | Modal UDP notation is a way to uniquely specify a particular [[Periodic scale#Definition-Rotations|rotation]], ie mode, of any MOS. Its name is derived from up|down(period), or U|D(P). If accidentals are specified, it can also refer to the MODMOS's of those MOS's as well. | ||
Any MOS has an ambiguous choice of generator: for example, the generator for meantone[7] can be viewed as either the perfect fourth or the perfect fifth. If the generator is chosen by picking the one which is the larger specific interval in its generic interval class, also called the //chroma-positive generator,// then the UDP notation for any mode is U|D(P) - where P is the number of periods per equivalence interval, U is the number of chroma-positive generators going up from the tonic times P, and D is the number of chroma-positive generators going down from the tonic times P. If P = 1, then it can be omitted, so that the UDP notation is simply U|D. | Any MOS has an ambiguous choice of generator: for example, the generator for meantone[7] can be viewed as either the perfect fourth or the perfect fifth. If the generator is chosen by picking the one which is the larger specific interval in its generic interval class, also called the //chroma-positive generator,// then the UDP notation for any mode is U|D(P) - where P is the number of periods per equivalence interval, U is the number of chroma-positive generators going up from the tonic times P, and D is the number of chroma-positive generators going down from the tonic times P. If P = 1, then it can be omitted, so that the UDP notation is simply U|D. | ||
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<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Modal UDP Notation</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Modal UDP Notation"></a><!-- ws:end:WikiTextHeadingRule:0 -->Modal UDP Notation</h1> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Modal UDP Notation</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Modal UDP Notation"></a><!-- ws:end:WikiTextHeadingRule:0 -->Modal UDP Notation</h1> | ||
Modal UDP notation is a way to uniquely specify a particular mode of any MOS. Its name is derived from up|down(period), or U|D(P). If accidentals are specified, it can also refer to the MODMOS's of those MOS's as well.<br /> | Modal UDP notation is a way to uniquely specify a particular <a class="wiki_link" href="/Periodic%20scale#Definition-Rotations">rotation</a>, ie mode, of any MOS. Its name is derived from up|down(period), or U|D(P). If accidentals are specified, it can also refer to the MODMOS's of those MOS's as well.<br /> | ||
<br /> | <br /> | ||
Any MOS has an ambiguous choice of generator: for example, the generator for meantone[7] can be viewed as either the perfect fourth or the perfect fifth. If the generator is chosen by picking the one which is the larger specific interval in its generic interval class, also called the <em>chroma-positive generator,</em> then the UDP notation for any mode is U|D(P) - where P is the number of periods per equivalence interval, U is the number of chroma-positive generators going up from the tonic times P, and D is the number of chroma-positive generators going down from the tonic times P. If P = 1, then it can be omitted, so that the UDP notation is simply U|D.<br /> | Any MOS has an ambiguous choice of generator: for example, the generator for meantone[7] can be viewed as either the perfect fourth or the perfect fifth. If the generator is chosen by picking the one which is the larger specific interval in its generic interval class, also called the <em>chroma-positive generator,</em> then the UDP notation for any mode is U|D(P) - where P is the number of periods per equivalence interval, U is the number of chroma-positive generators going up from the tonic times P, and D is the number of chroma-positive generators going down from the tonic times P. If P = 1, then it can be omitted, so that the UDP notation is simply U|D.<br /> | ||