1L 5s
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- This revision was by author keenanpepper and made on 2011-11-25 20:50:07 UTC.
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Original Wikitext content:
There are two notable low-harmonic-entropy scales with this [[MOSScales|MOS]] pattern. The first is [[Tetracot family|tetracot]], in which four generators make a 3/2. The second is a scale in which two generators make a 5/4, which could be referred to by various names. The temperaments "luna", "hemithird", and "hemiwürschmidt" all have 6-note MOSes that are very similar. But perhaps it is best known as [[roulette6]], the six note haplitonic scale for the roulette [[Chromatic pair]]. Other scales include very improper (incomplete) versions of porcupine, negri, etc. ||||||||||||||~ Generator ||~ Cents ||~ Comments || || 0\1 || || || || || || || 0 ||= || || || || 1\8 || || || || || 150 ||= || || || || || 2\15 || || || || 160 ||= || || || || || || 3\22 || || || 163.64 ||= Porcupine is around here || || || 1\7 || || || || || || 171.43 ||= Boundary of propriety (generators larger than this are proper) || || || || || || || 5\34 || || 176.47 ||= Tetracot is around here || || || || || || 4\27 || || || 177.78 ||= || || || || || 3\20 || || || || 180 ||= || || || || || || || 8\53 || || 181.13 ||= || || || || || || || || || 1200/(5+phi) ||= Unnamed golden temperament (discussed in [[http://launch.groups.yahoo.com/group/tuning/message/100254|this thread]]) || || || || || || 5\33 || || || 181.82 ||= || || || || 2\13 || || || || || 184.62 ||= Optimum rank range glacial (L/s=3/2) || || || || || 3\19 || || || || 189.47 ||= || || || || || || 4\25 || || || 192 ||= || || || || || || || 5\31 || || 193.55 ||= || || || || || || || || 6\37 || 194.59 ||= Luna/Hemithird/Roulette is around here: [[roulette6]] || || 1\6 || || || || || || || 200 ||= ||
Original HTML content:
<html><head><title>1L 5s</title></head><body>There are two notable low-harmonic-entropy scales 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. The second is a scale in which two generators make a 5/4, which could be referred to by various names. The temperaments "luna", "hemithird", and "hemiwürschmidt" all have 6-note MOSes that are very similar. But perhaps it is best known as <a class="wiki_link" href="/roulette6">roulette6</a>, the six note haplitonic scale for the roulette <a class="wiki_link" href="/Chromatic%20pair">Chromatic pair</a>.<br />
<br />
Other scales include very improper (incomplete) versions of porcupine, negri, etc.<br />
<table class="wiki_table">
<tr>
<th colspan="7">Generator<br />
</th>
<th>Cents<br />
</th>
<th>Comments<br />
</th>
</tr>
<tr>
<td>0\1<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>0<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>1\8<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>150<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>2\15<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>160<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>3\22<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>163.64<br />
</td>
<td style="text-align: center;">Porcupine is around here<br />
</td>
</tr>
<tr>
<td><br />
</td>
<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 style="text-align: center;">Boundary of propriety<br />
(generators larger than this are proper)<br />
</td>
</tr>
<tr>
<td><br />
</td>
<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 style="text-align: center;">Tetracot is around here<br />
</td>
</tr>
<tr>
<td><br />
</td>
<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 style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<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 style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<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 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><br />
</td>
<td>1200/(5+phi)<br />
</td>
<td style="text-align: center;">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><br />
</td>
<td>5\33<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>181.82<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<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 style="text-align: center;">Optimum rank range glacial (L/s=3/2)<br />
</td>
</tr>
<tr>
<td><br />
</td>
<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 style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<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 style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<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 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>6\37<br />
</td>
<td>194.59<br />
</td>
<td style="text-align: center;">Luna/Hemithird/Roulette is around here: <a class="wiki_link" href="/roulette6">roulette6</a><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><br />
</td>
<td>200<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
</table>
</body></html>