4L 3s: Difference between revisions
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Wikispaces>keenanpepper **Imported revision 222633992 - Original comment: ** |
Wikispaces>keenanpepper **Imported revision 222744164 - 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:keenanpepper|keenanpepper]] and made on <tt>2011-04-25 | : This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-04-25 13:40:31 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>222744164</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">4L 3s refers to the structure of moment of symmetry scales with generators ranging from 1\4edo (one degree of [[4edo]], 300¢) to 2\7edo (two degrees of [[7edo]], or approx. 342.857¢). The spectrum looks like this: | <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">4L 3s refers to the structure of moment of symmetry scales with generators ranging from 1\4edo (one degree of [[4edo]], 300¢) to 2\7edo (two degrees of [[7edo]], or approx. 342.857¢). The spectrum looks like this: | ||
||||||||||||||~ Generator ||~ Scale ||~ g in cents ||~ 2g ||~ 3g ||~ 4g ||~ Comments || | ||||||||||||||~ Generator ||~ Scale ||~ g in cents ||~ 2g ||~ 3g ||~ 4g ||~ Comments || | ||
|| 1\4 || || || || || || || 1 0 1 0 1 0 1 || 300.000 || 600.000 || 900.000 || 0.000 ||= || | || 1\4 || || || || || || || 1 0 1 0 1 0 1 || 300.000 || 600.000 || 900.000 || 0.000 ||= || | ||
| Line 23: | Line 21: | ||
|| || || 5\18 || || || || || 3 2 3 2 3 2 3 || 333.333 || 666.667 || 1000.000 || 133.333 ||= || | || || || 5\18 || || || || || 3 2 3 2 3 2 3 || 333.333 || 666.667 || 1000.000 || 133.333 ||= || | ||
|| || || || 7\25 || || || || 4 3 4 3 4 3 4 || 336.000 || 672.000 || 1008.000 || 144.000 ||= || | || || || || 7\25 || || || || 4 3 4 3 4 3 4 || 336.000 || 672.000 || 1008.000 || 144.000 ||= || | ||
|| 2\7 || || || || || || || 1 1 1 1 1 1 1 || 342.857 || 685.714 || 1028.571 || 171.429 ||= ||</pre></div> | || 2\7 || || || || || || || 1 1 1 1 1 1 1 || 342.857 || 685.714 || 1028.571 || 171.429 ||= || | ||
There are two notable harmonic entropy minima: [[Kleismic family|hanson/keemun]], in which the generator is 6/5 and 6 of them make a 3/1, and [[Starling temperaments|myna]], in which the generator is also 6/5 but now **10** of them make a 6/1.</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>4L 3s</title></head><body>4L 3s refers to the structure of moment of symmetry scales with generators ranging from 1\4edo (one degree of <a class="wiki_link" href="/4edo">4edo</a>, 300¢) to 2\7edo (two degrees of <a class="wiki_link" href="/7edo">7edo</a>, or approx. 342.857¢). The spectrum looks like this:<br /> | <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>4L 3s</title></head><body>4L 3s refers to the structure of moment of symmetry scales with generators ranging from 1\4edo (one degree of <a class="wiki_link" href="/4edo">4edo</a>, 300¢) to 2\7edo (two degrees of <a class="wiki_link" href="/7edo">7edo</a>, or approx. 342.857¢). The spectrum looks like this:<br /> | ||
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</table> | </table> | ||
</body></html></pre></div> | There are two notable harmonic entropy minima: <a class="wiki_link" href="/Kleismic%20family">hanson/keemun</a>, in which the generator is 6/5 and 6 of them make a 3/1, and <a class="wiki_link" href="/Starling%20temperaments">myna</a>, in which the generator is also 6/5 but now <strong>10</strong> of them make a 6/1.</body></html></pre></div> | ||
Revision as of 13:40, 25 April 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 keenanpepper and made on 2011-04-25 13:40:31 UTC.
- The original revision id was 222744164.
- 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:
4L 3s refers to the structure of moment of symmetry scales with generators ranging from 1\4edo (one degree of [[4edo]], 300¢) to 2\7edo (two degrees of [[7edo]], or approx. 342.857¢). The spectrum looks like this: ||||||||||||||~ Generator ||~ Scale ||~ g in cents ||~ 2g ||~ 3g ||~ 4g ||~ Comments || || 1\4 || || || || || || || 1 0 1 0 1 0 1 || 300.000 || 600.000 || 900.000 || 0.000 ||= || || || || || || || || 8\31 || 7 1 7 1 7 1 7 || 309.677 || || || ||= Myna is around here || || || || || || || 7\27 || || 6 1 6 1 6 1 6 || 311.111 || || || ||= || || || || || || 6\23 || || || 5 1 5 1 5 1 5 || 313.043 || || || ||= || || || || || 5\19 || || || || 4 1 4 1 4 1 4 || 315.789 || 631.579 || 947.368 || 63.158 ||= || || || || || || 9\34 || || || 7 2 7 2 7 2 7 || 317.647 || || || ||= Hanson/Keemun is around here || || || || 4\15 || || || || || 3 1 3 1 3 1 3 || 320.000 || 640.000 || 960.000 || 80.000 ||= || || || || || 7\26 || || || || 5 2 5 2 5 2 5 || 323.077 || 646.154 || 969.231 || 92.308 ||= || || || 3\11 || || || || || || 2 1 2 1 2 1 2 || 327.273 || 654.545 || 981.818 || 109.091 ||= Boundary of propriety (generators larger than this are proper) || || || || || 8\29 || || || || 5 3 5 3 5 3 5 || 331.034 || 662.069 || 993.013 || 124.138 ||= || || || || 5\18 || || || || || 3 2 3 2 3 2 3 || 333.333 || 666.667 || 1000.000 || 133.333 ||= || || || || || 7\25 || || || || 4 3 4 3 4 3 4 || 336.000 || 672.000 || 1008.000 || 144.000 ||= || || 2\7 || || || || || || || 1 1 1 1 1 1 1 || 342.857 || 685.714 || 1028.571 || 171.429 ||= || There are two notable harmonic entropy minima: [[Kleismic family|hanson/keemun]], in which the generator is 6/5 and 6 of them make a 3/1, and [[Starling temperaments|myna]], in which the generator is also 6/5 but now **10** of them make a 6/1.
Original HTML content:
<html><head><title>4L 3s</title></head><body>4L 3s refers to the structure of moment of symmetry scales with generators ranging from 1\4edo (one degree of <a class="wiki_link" href="/4edo">4edo</a>, 300¢) to 2\7edo (two degrees of <a class="wiki_link" href="/7edo">7edo</a>, or approx. 342.857¢). The spectrum looks like this:<br />
<table class="wiki_table">
<tr>
<th colspan="7">Generator<br />
</th>
<th>Scale<br />
</th>
<th>g in cents<br />
</th>
<th>2g<br />
</th>
<th>3g<br />
</th>
<th>4g<br />
</th>
<th>Comments<br />
</th>
</tr>
<tr>
<td>1\4<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>1 0 1 0 1 0 1<br />
</td>
<td>300.000<br />
</td>
<td>600.000<br />
</td>
<td>900.000<br />
</td>
<td>0.000<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>8\31<br />
</td>
<td>7 1 7 1 7 1 7<br />
</td>
<td>309.677<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td style="text-align: center;">Myna is around here<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>7\27<br />
</td>
<td><br />
</td>
<td>6 1 6 1 6 1 6<br />
</td>
<td>311.111<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>6\23<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>5 1 5 1 5 1 5<br />
</td>
<td>313.043<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>5\19<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>4 1 4 1 4 1 4<br />
</td>
<td>315.789<br />
</td>
<td>631.579<br />
</td>
<td>947.368<br />
</td>
<td>63.158<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>9\34<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>7 2 7 2 7 2 7<br />
</td>
<td>317.647<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td style="text-align: center;">Hanson/Keemun is around here<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>4\15<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>3 1 3 1 3 1 3<br />
</td>
<td>320.000<br />
</td>
<td>640.000<br />
</td>
<td>960.000<br />
</td>
<td>80.000<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>7\26<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>5 2 5 2 5 2 5<br />
</td>
<td>323.077<br />
</td>
<td>646.154<br />
</td>
<td>969.231<br />
</td>
<td>92.308<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>3\11<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>2 1 2 1 2 1 2<br />
</td>
<td>327.273<br />
</td>
<td>654.545<br />
</td>
<td>981.818<br />
</td>
<td>109.091<br />
</td>
<td style="text-align: center;">Boundary of propriety (generators<br />
larger than this are proper)<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>8\29<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>5 3 5 3 5 3 5<br />
</td>
<td>331.034<br />
</td>
<td>662.069<br />
</td>
<td>993.013<br />
</td>
<td>124.138<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>5\18<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>3 2 3 2 3 2 3<br />
</td>
<td>333.333<br />
</td>
<td>666.667<br />
</td>
<td>1000.000<br />
</td>
<td>133.333<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>7\25<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>4 3 4 3 4 3 4<br />
</td>
<td>336.000<br />
</td>
<td>672.000<br />
</td>
<td>1008.000<br />
</td>
<td>144.000<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td>2\7<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>1 1 1 1 1 1 1<br />
</td>
<td>342.857<br />
</td>
<td>685.714<br />
</td>
<td>1028.571<br />
</td>
<td>171.429<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
</table>
There are two notable harmonic entropy minima: <a class="wiki_link" href="/Kleismic%20family">hanson/keemun</a>, in which the generator is 6/5 and 6 of them make a 3/1, and <a class="wiki_link" href="/Starling%20temperaments">myna</a>, in which the generator is also 6/5 but now <strong>10</strong> of them make a 6/1.</body></html>