76edo: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 246228219 - Original comment: ** |
Wikispaces>MasonGreen1 **Imported revision 596770372 - 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:MasonGreen1|MasonGreen1]] and made on <tt>2016-10-24 22:07:12 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>596770372</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 //76 equal division// 5-limit patent val is [[contorted]] in the 5-limit, reflecting the fact that 76 = 4 * 19. In the 7-limit it tempers out 2401/2400 as well as 81/80, and so supports [[Meantone family#Squares|squares temperament]]. In the 11-limit, it tempers out 245/242 and 385/384, and supports the 24&26 temperament. In the 13-limit, it tempers out 105/104, 144/143, 351/350 and 364/363. While the 44\76 = 11\19 fifth is already flat, the 43\76 fifth, even flatter, is an almost perfect approximation to the [[Pelogic family|hornbostel temperament]] POTE fifth, whereas its sharp fifth, 45\76, makes for an excellent [[Archytas clan#Superpyth|superpyth]] fifth. Hence you can do hornbostel/mavila, squares/meantone, and superpyth all with the same equal division.</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 //76 equal division// 5-limit patent val is [[contorted]] in the 5-limit, reflecting the fact that 76 = 4 * 19. In the 7-limit it tempers out 2401/2400 as well as 81/80, and so supports [[Meantone family#Squares|squares temperament]]. In the 11-limit, it tempers out 245/242 and 385/384, and supports the 24&26 temperament. In the 13-limit, it tempers out 105/104, 144/143, 351/350 and 364/363. While the 44\76 = 11\19 fifth is already flat, the 43\76 fifth, even flatter, is an almost perfect approximation to the [[Pelogic family|hornbostel temperament]] POTE fifth, whereas its sharp fifth, 45\76, makes for an excellent [[Archytas clan#Superpyth|superpyth]] fifth. Hence you can do hornbostel/mavila, squares/meantone, and superpyth all with the same equal division. | ||
Using non-patent vals, 76edo provides an excellent tuning for [[teff]] temperament, a low complexity, medium accuracy, and high limit (17 or 19) temperament.</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>76edo</title></head><body>The <em>76 equal division</em> 5-limit patent val is <a class="wiki_link" href="/contorted">contorted</a> in the 5-limit, reflecting the fact that 76 = 4 * 19. In the 7-limit it tempers out 2401/2400 as well as 81/80, and so supports <a class="wiki_link" href="/Meantone%20family#Squares">squares temperament</a>. In the 11-limit, it tempers out 245/242 and 385/384, and supports the 24&amp;26 temperament. In the 13-limit, it tempers out 105/104, 144/143, 351/350 and 364/363. While the 44\76 = 11\19 fifth is already flat, the 43\76 fifth, even flatter, is an almost perfect approximation to the <a class="wiki_link" href="/Pelogic%20family">hornbostel temperament</a> POTE fifth, whereas its sharp fifth, 45\76, makes for an excellent <a class="wiki_link" href="/Archytas%20clan#Superpyth">superpyth</a> fifth. Hence you can do hornbostel/mavila, squares/meantone, and superpyth all with the same equal division.</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>76edo</title></head><body>The <em>76 equal division</em> 5-limit patent val is <a class="wiki_link" href="/contorted">contorted</a> in the 5-limit, reflecting the fact that 76 = 4 * 19. In the 7-limit it tempers out 2401/2400 as well as 81/80, and so supports <a class="wiki_link" href="/Meantone%20family#Squares">squares temperament</a>. In the 11-limit, it tempers out 245/242 and 385/384, and supports the 24&amp;26 temperament. In the 13-limit, it tempers out 105/104, 144/143, 351/350 and 364/363. While the 44\76 = 11\19 fifth is already flat, the 43\76 fifth, even flatter, is an almost perfect approximation to the <a class="wiki_link" href="/Pelogic%20family">hornbostel temperament</a> POTE fifth, whereas its sharp fifth, 45\76, makes for an excellent <a class="wiki_link" href="/Archytas%20clan#Superpyth">superpyth</a> fifth. Hence you can do hornbostel/mavila, squares/meantone, and superpyth all with the same equal division.<br /> | ||
<br /> | |||
Using non-patent vals, 76edo provides an excellent tuning for <a class="wiki_link" href="/teff">teff</a> temperament, a low complexity, medium accuracy, and high limit (17 or 19) temperament.</body></html></pre></div> | |||
Revision as of 22:07, 24 October 2016
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author MasonGreen1 and made on 2016-10-24 22:07:12 UTC.
- The original revision id was 596770372.
- 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 //76 equal division// 5-limit patent val is [[contorted]] in the 5-limit, reflecting the fact that 76 = 4 * 19. In the 7-limit it tempers out 2401/2400 as well as 81/80, and so supports [[Meantone family#Squares|squares temperament]]. In the 11-limit, it tempers out 245/242 and 385/384, and supports the 24&26 temperament. In the 13-limit, it tempers out 105/104, 144/143, 351/350 and 364/363. While the 44\76 = 11\19 fifth is already flat, the 43\76 fifth, even flatter, is an almost perfect approximation to the [[Pelogic family|hornbostel temperament]] POTE fifth, whereas its sharp fifth, 45\76, makes for an excellent [[Archytas clan#Superpyth|superpyth]] fifth. Hence you can do hornbostel/mavila, squares/meantone, and superpyth all with the same equal division. Using non-patent vals, 76edo provides an excellent tuning for [[teff]] temperament, a low complexity, medium accuracy, and high limit (17 or 19) temperament.
Original HTML content:
<html><head><title>76edo</title></head><body>The <em>76 equal division</em> 5-limit patent val is <a class="wiki_link" href="/contorted">contorted</a> in the 5-limit, reflecting the fact that 76 = 4 * 19. In the 7-limit it tempers out 2401/2400 as well as 81/80, and so supports <a class="wiki_link" href="/Meantone%20family#Squares">squares temperament</a>. In the 11-limit, it tempers out 245/242 and 385/384, and supports the 24&26 temperament. In the 13-limit, it tempers out 105/104, 144/143, 351/350 and 364/363. While the 44\76 = 11\19 fifth is already flat, the 43\76 fifth, even flatter, is an almost perfect approximation to the <a class="wiki_link" href="/Pelogic%20family">hornbostel temperament</a> POTE fifth, whereas its sharp fifth, 45\76, makes for an excellent <a class="wiki_link" href="/Archytas%20clan#Superpyth">superpyth</a> fifth. Hence you can do hornbostel/mavila, squares/meantone, and superpyth all with the same equal division.<br /> <br /> Using non-patent vals, 76edo provides an excellent tuning for <a class="wiki_link" href="/teff">teff</a> temperament, a low complexity, medium accuracy, and high limit (17 or 19) temperament.</body></html>