4L 5s
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author Andrew_Heathwaite and made on 2010-09-05 17:59:09 UTC.
- The original revision id was 160514487.
- 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 5s refers to the structure of [[MOSScales|MOS Scales]] whose generator falls between 2\9 (two degrees of [[9edo]] = approx. 266.667¢) and 1\4 (one degree of [[4edo]] = 300¢). In the case of 9edo, L and s are the same size; in the case of 4edo, s is so small it disappears. The spectrum, then, goes something like: || || || || || scale || generator in cents || || 2\9 || || || || 1 1 1 1 1 1 1 1 1 || 266.667 || || || || || 7\31 || 3 4 3 4 3 4 3 4 3 || 270.968 || || || || 5\22 || || 2 3 2 3 2 3 2 3 2 || 272.727 || || || || || 8\35 || 3 5 3 5 3 5 3 5 3 || 274.286 || || || 3\13 || || || 1 2 1 2 1 2 1 2 1 || 276.923 || || || || || 7\30 || 2 5 2 5 2 5 2 5 2 || 280.000 || || || || 4\17 || || 1 3 1 3 1 3 1 3 1 || 282.353 || || || || || 5\21 || 1 4 1 4 1 4 1 4 1 || 285.714 || || 1\4 || || || || 0 1 0 1 0 1 0 1 0 || 300.000 || Note that between 7\31 and 5\22, g approximates frequency ratio 7:6, 2g approximates 16:11, and 3g approximates 8:5. This defines the range of Orwell Temperament. 4L 5s scales outside of that range are not suitable for Orwell.
Original HTML content:
<html><head><title>4L 5s</title></head><body>4L 5s refers to the structure of <a class="wiki_link" href="/MOSScales">MOS Scales</a> whose generator falls between 2\9 (two degrees of <a class="wiki_link" href="/9edo">9edo</a> = approx. 266.667¢) and 1\4 (one degree of <a class="wiki_link" href="/4edo">4edo</a> = 300¢). In the case of 9edo, L and s are the same size; in the case of 4edo, s is so small it disappears. The spectrum, then, goes something like:<br />
<br />
<table class="wiki_table">
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>scale<br />
</td>
<td>generator in cents<br />
</td>
</tr>
<tr>
<td>2\9<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>1 1 1 1 1 1 1 1 1<br />
</td>
<td>266.667<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>7\31<br />
</td>
<td>3 4 3 4 3 4 3 4 3<br />
</td>
<td>270.968<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>5\22<br />
</td>
<td><br />
</td>
<td>2 3 2 3 2 3 2 3 2<br />
</td>
<td>272.727<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>8\35<br />
</td>
<td>3 5 3 5 3 5 3 5 3<br />
</td>
<td>274.286<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>3\13<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>1 2 1 2 1 2 1 2 1<br />
</td>
<td>276.923<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>7\30<br />
</td>
<td>2 5 2 5 2 5 2 5 2<br />
</td>
<td>280.000<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>4\17<br />
</td>
<td><br />
</td>
<td>1 3 1 3 1 3 1 3 1<br />
</td>
<td>282.353<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>5\21<br />
</td>
<td>1 4 1 4 1 4 1 4 1<br />
</td>
<td>285.714<br />
</td>
</tr>
<tr>
<td>1\4<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>0 1 0 1 0 1 0 1 0<br />
</td>
<td>300.000<br />
</td>
</tr>
</table>
<br />
Note that between 7\31 and 5\22, g approximates frequency ratio 7:6, 2g approximates 16:11, and 3g approximates 8:5. This defines the range of Orwell Temperament. 4L 5s scales outside of that range are not suitable for Orwell.</body></html>