Prime harmonic series: Difference between revisions
Wikispaces>danterosati **Imported revision 176638991 - Original comment: ** |
Wikispaces>xenwolf **Imported revision 176727893 - Original comment: typographic change only** |
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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:xenwolf|xenwolf]] and made on <tt>2010-11-05 04:07:58 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>176727893</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt>typographic change only</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">The acoustic prime harmonic series is similar to the set of prime numbers, except that it begins with 1, and skips 2 because of octave equivalence : 1,3,5,7,11,13…etc. | <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">The **acoustic prime harmonic series** is similar to the set of prime numbers, except that it begins with 1, and skips 2 because of octave equivalence : 1,3,5,7,11,13…etc. | ||
If “new” pitch classes in the harmonic series are always odd numbers (even numbers are always octave duplications), the question is whether there is a useful acoustic/musical distinction between odd composites and primes. The test case is 9, which is the first odd numbered partial that is composite. | If “new” pitch classes in the harmonic series are always odd numbers (even numbers are always octave duplications), the question is whether there is a useful acoustic/musical distinction between odd composites and primes. The test case is 9, which is the first odd numbered partial that is composite. | ||
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Of course, as in scales derived from the full series, there is nothing that says one must start at the beginning of the series or include consecutive members only. The possibilities are endless.</pre></div> | Of course, as in scales derived from the full series, there is nothing that says one must start at the beginning of the series or include consecutive members only. The possibilities are endless.</pre></div> | ||
<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>The Prime Harmonic Series</title></head><body>The acoustic prime harmonic series is similar to the set of prime numbers, except that it begins with 1, and skips 2 because of octave equivalence : 1,3,5,7,11,13…etc.<br /> | <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>The Prime Harmonic Series</title></head><body>The <strong>acoustic prime harmonic series</strong> is similar to the set of prime numbers, except that it begins with 1, and skips 2 because of octave equivalence : 1,3,5,7,11,13…etc.<br /> | ||
If “new” pitch classes in the harmonic series are always odd numbers (even numbers are always octave duplications), the question is whether there is a useful acoustic/musical distinction between odd composites and primes. The test case is 9, which is the first odd numbered partial that is composite.<br /> | If “new” pitch classes in the harmonic series are always odd numbers (even numbers are always octave duplications), the question is whether there is a useful acoustic/musical distinction between odd composites and primes. The test case is 9, which is the first odd numbered partial that is composite.<br /> | ||
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