270edo: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 238900915 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 238903605 - 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>2011-06-27 02: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-06-27 02:57:01 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>238903605</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 270 equal division divides the octave into 270 equal parts of 4.4444 cents each. It is a very strong [[13-limit]] system, distinct and consistent through the 15 odd limit, and is the thirteenth [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta integral edo]]. In the 5-limit it tempers out the ennealimma, |1 -27 18>, the vulture comma, |24 -21 4>, and the vishnuzma or semisuper comma, |23 6 -14>. In the 7-limit it tempers out 2401/2400 and 4375/4374, so that it supports ennealimmal temperament, the wizma, 420175/419904 and the landscape comma, 250047/250000. In the 11-limit, it tempers out 5632/5625, 3025/3024 and 9801/9800. Finally in the 13-limit it tempers out 676/675, 1001/1000, 1716/1715 and 2080/2079, making it an [[The Archipelago|archipelago]] tuning, and the optimal patent val for some of the archipelago temperaments.</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 270 equal division divides the octave into 270 equal parts of 4.4444 cents each. It is a very strong [[13-limit]] system, distinct and consistent through the 15 odd limit, and is the thirteenth [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta integral edo]]. In the 5-limit it tempers out the ennealimma, |1 -27 18>, the vulture comma, |24 -21 4>, and the vishnuzma or semisuper comma, |23 6 -14>. In the 7-limit it tempers out 2401/2400 and 4375/4374, so that it supports ennealimmal temperament, the wizma, 420175/419904 and the landscape comma, 250047/250000. In the 11-limit, it tempers out 5632/5625, 3025/3024 and 9801/9800. Finally in the 13-limit it tempers out 676/675, 1001/1000, 1716/1715 and 2080/2079, making it an [[The Archipelago|archipelago]] tuning, and the optimal patent val for some of the archipelago temperaments. | ||
270 is a highly composite number, with divisors 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90 and 135, and some of these form the periods of the period and generators for some of rank two temperaments 270 supports; these include [[Ragismic microtemperaments#Ennealimmal|ennealimmal]], hemiennealimmal and [[The Archipelago#Rank two temperaments|decitonic]]. </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>270edo</title></head><body>The 270 equal division divides the octave into 270 equal parts of 4.4444 cents each. It is a very strong <a class="wiki_link" href="/13-limit">13-limit</a> system, distinct and consistent through the 15 odd limit, and is the thirteenth <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists">zeta integral edo</a>. In the 5-limit it tempers out the ennealimma, |1 -27 18&gt;, the vulture comma, |24 -21 4&gt;, and the vishnuzma or semisuper comma, |23 6 -14&gt;. In the 7-limit it tempers out 2401/2400 and 4375/4374, so that it supports ennealimmal temperament, the wizma, 420175/419904 and the landscape comma, 250047/250000. In the 11-limit, it tempers out 5632/5625, 3025/3024 and 9801/9800. Finally in the 13-limit it tempers out 676/675, 1001/1000, 1716/1715 and 2080/2079, making it an <a class="wiki_link" href="/The%20Archipelago">archipelago</a> tuning, and the optimal patent val for some of the archipelago temperaments.</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>270edo</title></head><body>The 270 equal division divides the octave into 270 equal parts of 4.4444 cents each. It is a very strong <a class="wiki_link" href="/13-limit">13-limit</a> system, distinct and consistent through the 15 odd limit, and is the thirteenth <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists">zeta integral edo</a>. In the 5-limit it tempers out the ennealimma, |1 -27 18&gt;, the vulture comma, |24 -21 4&gt;, and the vishnuzma or semisuper comma, |23 6 -14&gt;. In the 7-limit it tempers out 2401/2400 and 4375/4374, so that it supports ennealimmal temperament, the wizma, 420175/419904 and the landscape comma, 250047/250000. In the 11-limit, it tempers out 5632/5625, 3025/3024 and 9801/9800. Finally in the 13-limit it tempers out 676/675, 1001/1000, 1716/1715 and 2080/2079, making it an <a class="wiki_link" href="/The%20Archipelago">archipelago</a> tuning, and the optimal patent val for some of the archipelago temperaments.<br /> | ||
<br /> | |||
270 is a highly composite number, with divisors 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90 and 135, and some of these form the periods of the period and generators for some of rank two temperaments 270 supports; these include <a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal">ennealimmal</a>, hemiennealimmal and <a class="wiki_link" href="/The%20Archipelago#Rank two temperaments">decitonic</a>.</body></html></pre></div> | |||
Revision as of 02:57, 27 June 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 2011-06-27 02:57:01 UTC.
- The original revision id was 238903605.
- 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 270 equal division divides the octave into 270 equal parts of 4.4444 cents each. It is a very strong [[13-limit]] system, distinct and consistent through the 15 odd limit, and is the thirteenth [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta integral edo]]. In the 5-limit it tempers out the ennealimma, |1 -27 18>, the vulture comma, |24 -21 4>, and the vishnuzma or semisuper comma, |23 6 -14>. In the 7-limit it tempers out 2401/2400 and 4375/4374, so that it supports ennealimmal temperament, the wizma, 420175/419904 and the landscape comma, 250047/250000. In the 11-limit, it tempers out 5632/5625, 3025/3024 and 9801/9800. Finally in the 13-limit it tempers out 676/675, 1001/1000, 1716/1715 and 2080/2079, making it an [[The Archipelago|archipelago]] tuning, and the optimal patent val for some of the archipelago temperaments. 270 is a highly composite number, with divisors 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90 and 135, and some of these form the periods of the period and generators for some of rank two temperaments 270 supports; these include [[Ragismic microtemperaments#Ennealimmal|ennealimmal]], hemiennealimmal and [[The Archipelago#Rank two temperaments|decitonic]].
Original HTML content:
<html><head><title>270edo</title></head><body>The 270 equal division divides the octave into 270 equal parts of 4.4444 cents each. It is a very strong <a class="wiki_link" href="/13-limit">13-limit</a> system, distinct and consistent through the 15 odd limit, and is the thirteenth <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists">zeta integral edo</a>. In the 5-limit it tempers out the ennealimma, |1 -27 18>, the vulture comma, |24 -21 4>, and the vishnuzma or semisuper comma, |23 6 -14>. In the 7-limit it tempers out 2401/2400 and 4375/4374, so that it supports ennealimmal temperament, the wizma, 420175/419904 and the landscape comma, 250047/250000. In the 11-limit, it tempers out 5632/5625, 3025/3024 and 9801/9800. Finally in the 13-limit it tempers out 676/675, 1001/1000, 1716/1715 and 2080/2079, making it an <a class="wiki_link" href="/The%20Archipelago">archipelago</a> tuning, and the optimal patent val for some of the archipelago temperaments.<br /> <br /> 270 is a highly composite number, with divisors 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90 and 135, and some of these form the periods of the period and generators for some of rank two temperaments 270 supports; these include <a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal">ennealimmal</a>, hemiennealimmal and <a class="wiki_link" href="/The%20Archipelago#Rank two temperaments">decitonic</a>.</body></html>