130edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 288013626 - Original comment: ** |
Wikispaces>hearneg **Imported revision 484173290 - 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:hearneg|hearneg]] and made on <tt>2014-01-21 01:07:05 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>484173290</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">//130edo// divides the octave into 130 parts of size 9.231 cents each. It is the tenth [[The Riemann Zeta Function and Tuning#Zeta | <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">//130edo// divides the octave into 130 parts of size 9.231 cents each. It is the tenth [[The Riemann Zeta Function and Tuning#Zeta%20EDO%20lists|zeta integral edo]] but not a gap edo. It can be used to tune a variety of temperaments, including hemiwürschmidt, sesquiquartififths, harry and hemischismic. It also can be used to tune the rank-three temperament [[Breed family#Jove,%20aka%20Wonder|jove]], tempering out 243/242 and 441/440, plus 364/363 for the 13-limit and 595/594 for the 17-limit. It gives the [[optimal patent val]] for 11-limit [[Würschmidt family#Hemiw%FCrschmidt|hemiwürschmidt]] and [[Schismatic family#Sesquiquartififths|sesquart]] and 13-limit [[Breedsmic temperaments#Harry|harry]] temperaments. | ||
7-limit commas: 2401/2400, 3136/3125, 19683/19600 | 7-limit commas: 2401/2400, 3136/3125, 19683/19600 | ||
| Line 28: | Line 28: | ||
|| 7 || 64.62 || || | || 7 || 64.62 || || | ||
|| 8 || 73.85 || || | || 8 || 73.85 || || | ||
|| 9 || 83.08 || | || 9 || 83.08 || [[Breedsmic temperaments#Harry|harry]] || | ||
|| 10 || 92.31 || || | || 10 || 92.31 || || | ||
|| 11 || 101.54 || || | || 11 || 101.54 || || | ||
| Line 38: | Line 38: | ||
|| 17 || 156.92 || || | || 17 || 156.92 || || | ||
|| 18 || 166.15 || || | || 18 || 166.15 || || | ||
|| 19 || 175.38 || | || 19 || 175.38 || [[Schismatic family#Sesquiquartififths|sesquart]] || | ||
|| 20 || 184.62 || || | || 20 || 184.62 || || | ||
|| 21 || 193.85 || | || 21 || 193.85 || [[Würschmidt family#Hemiw%FCrschmidt|hemiwürschmidt]] || | ||
|| 22 || 203.08 || || | || 22 || 203.08 || || | ||
|| 23 || 212.31 || || | || 23 || 212.31 || || | ||
| Line 46: | Line 46: | ||
|| 25 || 230.77 || || | || 25 || 230.77 || || | ||
|| 26 || 240 || || | || 26 || 240 || || | ||
|| 27 || 249.23 || | || 27 || 249.23 || hemischismic || | ||
|| 28 || 258.46 || || | || 28 || 258.46 || || | ||
|| 29 || 267.69 || || | || 29 || 267.69 || || | ||
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[[http://www.archive.org/details/TheParadiseOfCantor|The Paradise of Cantor]] [[http://www.archive.org/download/TheParadiseOfCantor/cantor.mp3|play]] by [[Gene Ward Smith]]</pre></div> | [[http://www.archive.org/details/TheParadiseOfCantor|The Paradise of Cantor]] [[http://www.archive.org/download/TheParadiseOfCantor/cantor.mp3|play]] by [[Gene Ward Smith]]</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>130edo</title></head><body><em>130edo</em> divides the octave into 130 parts of size 9.231 cents each. It is the tenth <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta | <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>130edo</title></head><body><em>130edo</em> divides the octave into 130 parts of size 9.231 cents each. It is the tenth <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta%20EDO%20lists">zeta integral edo</a> but not a gap edo. It can be used to tune a variety of temperaments, including hemiwürschmidt, sesquiquartififths, harry and hemischismic. It also can be used to tune the rank-three temperament <a class="wiki_link" href="/Breed%20family#Jove,%20aka%20Wonder">jove</a>, tempering out 243/242 and 441/440, plus 364/363 for the 13-limit and 595/594 for the 17-limit. It gives the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 11-limit <a class="wiki_link" href="/W%C3%BCrschmidt%20family#Hemiw%FCrschmidt">hemiwürschmidt</a> and <a class="wiki_link" href="/Schismatic%20family#Sesquiquartififths">sesquart</a> and 13-limit <a class="wiki_link" href="/Breedsmic%20temperaments#Harry">harry</a> temperaments.<br /> | ||
<br /> | <br /> | ||
7-limit commas: 2401/2400, 3136/3125, 19683/19600<br /> | 7-limit commas: 2401/2400, 3136/3125, 19683/19600<br /> | ||
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<td>83.08<br /> | <td>83.08<br /> | ||
</td> | </td> | ||
<td><br /> | <td><a class="wiki_link" href="/Breedsmic%20temperaments#Harry">harry</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>175.38<br /> | <td>175.38<br /> | ||
</td> | </td> | ||
<td><br /> | <td><a class="wiki_link" href="/Schismatic%20family#Sesquiquartififths">sesquart</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 350: | Line 350: | ||
<td>193.85<br /> | <td>193.85<br /> | ||
</td> | </td> | ||
<td><br /> | <td><a class="wiki_link" href="/W%C3%BCrschmidt%20family#Hemiw%FCrschmidt">hemiwürschmidt</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 398: | Line 398: | ||
<td>249.23<br /> | <td>249.23<br /> | ||
</td> | </td> | ||
<td><br /> | <td>hemischismic<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||