5L 4s
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author xenwolf and made on 2011-05-12 03:21:45 UTC.
- The original revision id was 227758804.
- The revision comment was: links to intervals
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Original Wikitext content:
The familiar harmonic entropy minimum with this MOS pattern is [[Semaphore family|semaphore]], in which a generator is [[8_7|8/7]] or [[7_6|7/6]] (tempered to be the same interval), so two of them make a [[4_3|4/3]]. However, in addition to the 5's (tempering out 81/80) and no-5's versions of semaphore, there is also a weird scale called "[[pseudo-semaphore]]", in which two different flavors of [[3_2|3/2]] exist in the same scale: an octave minus two generators makes a sharp 3/2, and two octaves minus seven generators makes a flat 3/2. ||||||||||||||||||||||~ Generator ||~ Cents ||~ Comments || || 1\5 || || || || || || || || || || || 240 ||= || || || || || || || || || || || || 12\59 || 244.07 ||= Pseudo-semaphore is around here || || || || || || || || || || || 11\54 || || 244.44 ||= || || || || || || || || || || 10\49 || || || 244.90 ||= || || || || || || || || || 9\44 || || || || 245.45 ||= || || || || || || || || 8\39 || || || || || 246.15 ||= || || || || || || || 7\34 || || || || || || 247.06 ||= || || || || || || 6\29 || || || || || || || 248.28 ||= || || || || || || || 11\53 || || || || || || 249.06 ||= No-5's semaphore (not tempering out 81/80) is around here || || || || || 5\24 || || || || || || || || 250 ||= || || || || 4\19 || || || || || || || || || 252.63 ||= Meantone-style semaphore (tempering out 81/80) is around here || || || 3\14 || || || || || || || || || || 257.14 ||= Boundary of propriety (generators larger than this are proper) || || 2\9 || || || || || || || || || || || 266.67 ||= ||
Original HTML content:
<html><head><title>5L 4s</title></head><body>The familiar harmonic entropy minimum with this MOS pattern is <a class="wiki_link" href="/Semaphore%20family">semaphore</a>, in which a generator is <a class="wiki_link" href="/8_7">8/7</a> or <a class="wiki_link" href="/7_6">7/6</a> (tempered to be the same interval), so two of them make a <a class="wiki_link" href="/4_3">4/3</a>. However, in addition to the 5's (tempering out 81/80) and no-5's versions of semaphore, there is also a weird scale called "<a class="wiki_link" href="/pseudo-semaphore">pseudo-semaphore</a>", in which two different flavors of <a class="wiki_link" href="/3_2">3/2</a> exist in the same scale: an octave minus two generators makes a sharp 3/2, and two octaves minus seven generators makes a flat 3/2.<br />
<table class="wiki_table">
<tr>
<th colspan="11">Generator<br />
</th>
<th>Cents<br />
</th>
<th>Comments<br />
</th>
</tr>
<tr>
<td>1\5<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>240<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><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>12\59<br />
</td>
<td>244.07<br />
</td>
<td style="text-align: center;">Pseudo-semaphore is around here<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><br />
</td>
<td><br />
</td>
<td>11\54<br />
</td>
<td><br />
</td>
<td>244.44<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><br />
</td>
<td>10\49<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>244.90<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>9\44<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>245.45<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\39<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>246.15<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>7\34<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>247.06<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\29<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>248.28<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>11\53<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>249.06<br />
</td>
<td style="text-align: center;">No-5's semaphore (not<br />
tempering out 81/80) is around here<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>5\24<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>250<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>4\19<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>252.63<br />
</td>
<td style="text-align: center;">Meantone-style semaphore<br />
(tempering out 81/80) is around here<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>3\14<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>257.14<br />
</td>
<td style="text-align: center;">Boundary of propriety (generators<br />
larger than this are proper)<br />
</td>
</tr>
<tr>
<td>2\9<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>266.67<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
</table>
</body></html>