232edo: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 239778431 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 243976661 - 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:genewardsmith|genewardsmith]] and made on <tt>2011- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-02 16:03:49 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>243976661</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">The //232 equal division// divides the octave into 232 equal parts of 5.172 cents each. It provides the [[optimal patent val]] for [[13-limit]] [[Hemifamity temperaments#Mystery|mystery temperament]] and other temperaments tempering out 176/175, for which it gives the optimal patent val for the corresponding rank five temperament. Aside from its patent val, the 232d val is worth considering. Both temper out the wuerschmidt comma, 393216/390625, in the 5-limit. In the 7-limit, the patent val tempers out 5120/5103 and 232d 3125/3097 and 245/243, supporting [[Sensamagic clan#Bohpier|bohpier temperament]]. In the 11-limit, the patent val tempers out 441/440 and 896/891, and 232d 540/539, 1375/1372 and 4000/3993, supporting octoid. In the 13-limit, the patent val tempers out 196/195, 352/351, 364/363 and 676/675, which leads to 13-limit mystery. 232d also tempers out 352/351 and 676/675, which supports variants of octoid.</pre></div> | <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 //232 equal division// divides the octave into 232 equal parts of 5.172 cents each. It provides the [[optimal patent val]] for [[13-limit]] [[Hemifamity temperaments#Mystery|mystery temperament]] and other temperaments tempering out 176/175, for which it gives the optimal patent val for the corresponding rank five temperament. Aside from its patent val, the 232d val is worth considering. Both temper out the wuerschmidt comma, 393216/390625, in the 5-limit. In the 7-limit, the patent val tempers out 5120/5103 and 232d 3125/3097 and 245/243, supporting [[Sensamagic clan#Bohpier|bohpier temperament]]. In the 11-limit, the patent val tempers out 441/440 and 896/891, and 232d 540/539, 1375/1372 and 4000/3993, supporting octoid. In the 13-limit, the patent val tempers out 196/195, 352/351, 364/363, 441/440 and 676/675, which leads to 13-limit mystery, for which it provides the optimal patent val. 232d also tempers out 352/351 and 676/675, which supports variants of octoid. | ||
Considering the 205edo patent val and 13-limit mystery, we note that because it tempers out 441/440 it allows [[werckismic chords]], because it tempers out 196/195 it allows [[mynucumic chords]], because it tempers out 352/351 it allows [[minthmic chords]], and because it tempers out 364/363 it allows [[gentle chords]], making it a very flexible harmonic system.</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>232edo</title></head><body>The <em>232 equal division</em> divides the octave into 232 equal parts of 5.172 cents each. It provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/13-limit">13-limit</a> <a class="wiki_link" href="/Hemifamity%20temperaments#Mystery">mystery temperament</a> and other temperaments tempering out 176/175, for which it gives the optimal patent val for the corresponding rank five temperament. Aside from its patent val, the 232d val is worth considering. Both temper out the wuerschmidt comma, 393216/390625, in the 5-limit. In the 7-limit, the patent val tempers out 5120/5103 and 232d 3125/3097 and 245/243, supporting <a class="wiki_link" href="/Sensamagic%20clan#Bohpier">bohpier temperament</a>. In the 11-limit, the patent val tempers out 441/440 and 896/891, and 232d 540/539, 1375/1372 and 4000/3993, supporting octoid. In the 13-limit, the patent val tempers out 196/195, 352/351, 364/363 and 676/675, which leads to 13-limit mystery. 232d also tempers out 352/351 and 676/675, which supports variants of octoid.</body></html></pre></div> | <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>232edo</title></head><body>The <em>232 equal division</em> divides the octave into 232 equal parts of 5.172 cents each. It provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/13-limit">13-limit</a> <a class="wiki_link" href="/Hemifamity%20temperaments#Mystery">mystery temperament</a> and other temperaments tempering out 176/175, for which it gives the optimal patent val for the corresponding rank five temperament. Aside from its patent val, the 232d val is worth considering. Both temper out the wuerschmidt comma, 393216/390625, in the 5-limit. In the 7-limit, the patent val tempers out 5120/5103 and 232d 3125/3097 and 245/243, supporting <a class="wiki_link" href="/Sensamagic%20clan#Bohpier">bohpier temperament</a>. In the 11-limit, the patent val tempers out 441/440 and 896/891, and 232d 540/539, 1375/1372 and 4000/3993, supporting octoid. In the 13-limit, the patent val tempers out 196/195, 352/351, 364/363, 441/440 and 676/675, which leads to 13-limit mystery, for which it provides the optimal patent val. 232d also tempers out 352/351 and 676/675, which supports variants of octoid. <br /> | ||
<br /> | |||
Considering the 205edo patent val and 13-limit mystery, we note that because it tempers out 441/440 it allows <a class="wiki_link" href="/werckismic%20chords">werckismic chords</a>, because it tempers out 196/195 it allows <a class="wiki_link" href="/mynucumic%20chords">mynucumic chords</a>, because it tempers out 352/351 it allows <a class="wiki_link" href="/minthmic%20chords">minthmic chords</a>, and because it tempers out 364/363 it allows <a class="wiki_link" href="/gentle%20chords">gentle chords</a>, making it a very flexible harmonic system.</body></html></pre></div> | |||
Revision as of 16:03, 2 August 2011
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2011-08-02 16:03:49 UTC.
- The original revision id was 243976661.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
The //232 equal division// divides the octave into 232 equal parts of 5.172 cents each. It provides the [[optimal patent val]] for [[13-limit]] [[Hemifamity temperaments#Mystery|mystery temperament]] and other temperaments tempering out 176/175, for which it gives the optimal patent val for the corresponding rank five temperament. Aside from its patent val, the 232d val is worth considering. Both temper out the wuerschmidt comma, 393216/390625, in the 5-limit. In the 7-limit, the patent val tempers out 5120/5103 and 232d 3125/3097 and 245/243, supporting [[Sensamagic clan#Bohpier|bohpier temperament]]. In the 11-limit, the patent val tempers out 441/440 and 896/891, and 232d 540/539, 1375/1372 and 4000/3993, supporting octoid. In the 13-limit, the patent val tempers out 196/195, 352/351, 364/363, 441/440 and 676/675, which leads to 13-limit mystery, for which it provides the optimal patent val. 232d also tempers out 352/351 and 676/675, which supports variants of octoid. Considering the 205edo patent val and 13-limit mystery, we note that because it tempers out 441/440 it allows [[werckismic chords]], because it tempers out 196/195 it allows [[mynucumic chords]], because it tempers out 352/351 it allows [[minthmic chords]], and because it tempers out 364/363 it allows [[gentle chords]], making it a very flexible harmonic system.
Original HTML content:
<html><head><title>232edo</title></head><body>The <em>232 equal division</em> divides the octave into 232 equal parts of 5.172 cents each. It provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/13-limit">13-limit</a> <a class="wiki_link" href="/Hemifamity%20temperaments#Mystery">mystery temperament</a> and other temperaments tempering out 176/175, for which it gives the optimal patent val for the corresponding rank five temperament. Aside from its patent val, the 232d val is worth considering. Both temper out the wuerschmidt comma, 393216/390625, in the 5-limit. In the 7-limit, the patent val tempers out 5120/5103 and 232d 3125/3097 and 245/243, supporting <a class="wiki_link" href="/Sensamagic%20clan#Bohpier">bohpier temperament</a>. In the 11-limit, the patent val tempers out 441/440 and 896/891, and 232d 540/539, 1375/1372 and 4000/3993, supporting octoid. In the 13-limit, the patent val tempers out 196/195, 352/351, 364/363, 441/440 and 676/675, which leads to 13-limit mystery, for which it provides the optimal patent val. 232d also tempers out 352/351 and 676/675, which supports variants of octoid. <br /> <br /> Considering the 205edo patent val and 13-limit mystery, we note that because it tempers out 441/440 it allows <a class="wiki_link" href="/werckismic%20chords">werckismic chords</a>, because it tempers out 196/195 it allows <a class="wiki_link" href="/mynucumic%20chords">mynucumic chords</a>, because it tempers out 352/351 it allows <a class="wiki_link" href="/minthmic%20chords">minthmic chords</a>, and because it tempers out 364/363 it allows <a class="wiki_link" href="/gentle%20chords">gentle chords</a>, making it a very flexible harmonic system.</body></html>