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Wikispaces>genewardsmith **Imported revision 248864045 - Original comment: ** |
Wikispaces>guest **Imported revision 248864829 - 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:guest|guest]] and made on <tt>2011-08-28 01:36:49 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>248864829</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">There are two notable harmonic entropy minima with this [[MOSScales|MOS]] pattern. The first is [[Tetracot family|tetracot]], in which four generators make a 3/2, and the second is known as [[roulette7]], the seven note albitonic scale for the | <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">There are two notable harmonic entropy minima with this [[MOSScales|MOS]] pattern. The first is [[Tetracot family|tetracot]], in which four generators make a 3/2, and the second is known as [[roulette7]], the seven note albitonic scale for the 2.5.7.11.13 subgroup temperament [[Chromatic pairs#Roulette|roulette]]. (Other temperaments like "luna", "hemithird", and "hemiwürschmidt" have very similar 7-note MOSes.) | ||
The 6L+1s pattern also houses a temperament of the 11th and 13th harmonics, for example L=7 s=4 (46 edo) is such a scale. | The 6L+1s pattern also houses a temperament of the 11th and 13th harmonics, for example L=7 s=4 (46 edo) is such a scale. | ||
| Line 17: | Line 17: | ||
|| || || 3\20 || || || || 180 || || | || || || 3\20 || || || || 180 || || | ||
|| || || || || 8\53 || || 181.13 || || | || || || || || 8\53 || || 181.13 || || | ||
|| || || || || || 13\86 || 181.40 || Unnamed golden temperament || | || || || || || || 13\86 || 181.40 || Unnamed golden temperament (discussed in [[http://launch.groups.yahoo.com/group/tuning/message/100254|this thread]]) || | ||
|| || || || 5\33 || || || 181.82 || || | || || || || 5\33 || || || 181.82 || || | ||
|| || 2\13 || || || || || 184.62 || || | || || 2\13 || || || || || 184.62 || || | ||
| Line 25: | Line 25: | ||
|| 1\6 || || || || || || 200 || ||</pre></div> | || 1\6 || || || || || || 200 || ||</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>6L 1s</title></head><body>There are two notable harmonic entropy minima with this <a class="wiki_link" href="/MOSScales">MOS</a> pattern. The first is <a class="wiki_link" href="/Tetracot%20family">tetracot</a>, in which four generators make a 3/2, and the second is known as <a class="wiki_link" href="/roulette7">roulette7</a>, the seven note albitonic scale for the | <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>6L 1s</title></head><body>There are two notable harmonic entropy minima with this <a class="wiki_link" href="/MOSScales">MOS</a> pattern. The first is <a class="wiki_link" href="/Tetracot%20family">tetracot</a>, in which four generators make a 3/2, and the second is known as <a class="wiki_link" href="/roulette7">roulette7</a>, the seven note albitonic scale for the 2.5.7.11.13 subgroup temperament <a class="wiki_link" href="/Chromatic%20pairs#Roulette">roulette</a>. (Other temperaments like &quot;luna&quot;, &quot;hemithird&quot;, and &quot;hemiwürschmidt&quot; have very similar 7-note MOSes.)<br /> | ||
<br /> | <br /> | ||
The 6L+1s pattern also houses a temperament of the 11th and 13th harmonics, for example L=7 s=4 (46 edo) is such a scale.<br /> | The 6L+1s pattern also houses a temperament of the 11th and 13th harmonics, for example L=7 s=4 (46 edo) is such a scale.<br /> | ||
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<td>181.40<br /> | <td>181.40<br /> | ||
</td> | </td> | ||
<td>Unnamed golden temperament<br /> | <td>Unnamed golden temperament (discussed in <a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/100254" rel="nofollow">this thread</a>)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Revision as of 01:36, 28 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 guest and made on 2011-08-28 01:36:49 UTC.
- The original revision id was 248864829.
- 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:
There are two notable harmonic entropy minima with this [[MOSScales|MOS]] pattern. The first is [[Tetracot family|tetracot]], in which four generators make a 3/2, and the second is known as [[roulette7]], the seven note albitonic scale for the 2.5.7.11.13 subgroup temperament [[Chromatic pairs#Roulette|roulette]]. (Other temperaments like "luna", "hemithird", and "hemiwürschmidt" have very similar 7-note MOSes.) The 6L+1s pattern also houses a temperament of the 11th and 13th harmonics, for example L=7 s=4 (46 edo) is such a scale. Scales of this form are always [[Rothenberg propriety|proper]], because there is only one small step. ||||||||||||~ Generator ||~ Cents ||~ Comments || || 1\7 || || || || || || 171.43 || || || || || || || || 6\41 || 175.61 || || || || || || || 5\34 || || 176.47 || Tetracot is around here || || || || || 4\27 || || || 177.78 || || || || || 3\20 || || || || 180 || || || || || || || 8\53 || || 181.13 || || || || || || || || 13\86 || 181.40 || Unnamed golden temperament (discussed in [[http://launch.groups.yahoo.com/group/tuning/message/100254|this thread]]) || || || || || 5\33 || || || 181.82 || || || || 2\13 || || || || || 184.62 || || || || || 3\19 || || || || 189.47 || || || || || || 4\25 || || || 192 || || || || || || || 5\31 || || 193.55 || Luna/hemithird/roulette is around here || || 1\6 || || || || || || 200 || ||
Original HTML content:
<html><head><title>6L 1s</title></head><body>There are two notable harmonic entropy minima with this <a class="wiki_link" href="/MOSScales">MOS</a> pattern. The first is <a class="wiki_link" href="/Tetracot%20family">tetracot</a>, in which four generators make a 3/2, and the second is known as <a class="wiki_link" href="/roulette7">roulette7</a>, the seven note albitonic scale for the 2.5.7.11.13 subgroup temperament <a class="wiki_link" href="/Chromatic%20pairs#Roulette">roulette</a>. (Other temperaments like "luna", "hemithird", and "hemiwürschmidt" have very similar 7-note MOSes.)<br />
<br />
The 6L+1s pattern also houses a temperament of the 11th and 13th harmonics, for example L=7 s=4 (46 edo) is such a scale.<br />
Scales of this form are always <a class="wiki_link" href="/Rothenberg%20propriety">proper</a>, because there is only one small step.<br />
<table class="wiki_table">
<tr>
<th colspan="6">Generator<br />
</th>
<th>Cents<br />
</th>
<th>Comments<br />
</th>
</tr>
<tr>
<td>1\7<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>171.43<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>6\41<br />
</td>
<td>175.61<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>5\34<br />
</td>
<td><br />
</td>
<td>176.47<br />
</td>
<td>Tetracot is around here<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>4\27<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>177.78<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>3\20<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>180<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>8\53<br />
</td>
<td><br />
</td>
<td>181.13<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>13\86<br />
</td>
<td>181.40<br />
</td>
<td>Unnamed golden temperament (discussed in <a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/100254" rel="nofollow">this thread</a>)<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>5\33<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>181.82<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>2\13<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>184.62<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>3\19<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>189.47<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>4\25<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>192<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>5\31<br />
</td>
<td><br />
</td>
<td>193.55<br />
</td>
<td>Luna/hemithird/roulette is around here<br />
</td>
</tr>
<tr>
<td>1\6<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>200<br />
</td>
<td><br />
</td>
</tr>
</table>
</body></html>