Rank-2 temperaments by mapping of 3: Difference between revisions
Wikispaces>mbattaglia1 **Imported revision 337249156 - Original comment: ** |
Wikispaces>keenanpepper **Imported revision 400688738 - 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:keenanpepper|keenanpepper]] and made on <tt>2013-01-23 05:50:56 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>400688738</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">Following is a list of octave-repeating | <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">Following is a list of octave-repeating rank-2 temperaments, organized by the mapping of the prime 3. | ||
The motivation for this is that 4/3 and 3/2 are the most consonant intervals within an octave, so it makes sense to look for temperaments where they occur often. Moreover, if two temperaments fall into the same category on this page, they not only have similar MOS structure, but also the consonant intervals 4/3 and 3/2 will appear in the same places in each MOS they have in common, so an important part of the harmonic structure is similar as well as the melodic structure. | The motivation for this is that 4/3 and 3/2 are the most consonant intervals within an octave, so it makes sense to look for temperaments where they occur often. Moreover, if two temperaments fall into the same category on this page, they not only have similar MOS structure, but also the consonant intervals 4/3 and 3/2 will appear in the same places in each MOS they have in common, so an important part of the harmonic structure is similar as well as the melodic structure. | ||
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* Ennealimmal</pre></div> | * Ennealimmal</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>Rank-2 temperaments by mapping of 3</title></head><body>Following is a list of octave-repeating | <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>Rank-2 temperaments by mapping of 3</title></head><body>Following is a list of octave-repeating rank-2 temperaments, organized by the mapping of the prime 3.<br /> | ||
<br /> | <br /> | ||
The motivation for this is that 4/3 and 3/2 are the most consonant intervals within an octave, so it makes sense to look for temperaments where they occur often. Moreover, if two temperaments fall into the same category on this page, they not only have similar MOS structure, but also the consonant intervals 4/3 and 3/2 will appear in the same places in each MOS they have in common, so an important part of the harmonic structure is similar as well as the melodic structure.<br /> | The motivation for this is that 4/3 and 3/2 are the most consonant intervals within an octave, so it makes sense to look for temperaments where they occur often. Moreover, if two temperaments fall into the same category on this page, they not only have similar MOS structure, but also the consonant intervals 4/3 and 3/2 will appear in the same places in each MOS they have in common, so an important part of the harmonic structure is similar as well as the melodic structure.<br /> | ||