1L 8s
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author JosephRuhf and made on 2015-11-05 13:01:28 UTC.
- The original revision id was 565337619.
- 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:
This MOS, with a generator of up to 1/9edo (133.333 cents), represents temperaments like Miracle (2<L<3 s=1) and Negri (3<L<4 s=2). Of all the temperaments it represents, the harmonic entropy minimum is the one where the scale is generated by an interval near 3/28edo (L near 4 s=3). || 0/1 || || || || || 0 ||= ||= || || || || || || 1/13 || 92.308 ||= ||= || || || || || 1/12 || || 100 ||= ||= L/s = 4 || || || || || || 2/23 || 104.348 ||= ||= || || || || || || || 1200/(8+pi) || || || || || || 1/11 || || || 109.091 ||= Miracle generators from here... ||= L/s = 3 || || || || || || || 1200/(8+e) || || || || || || || || 3/32 || 112.5 ||= ||= || || || || || || || 1200/(9+phi) || || || || || || || 2/21 || || 114.286 ||= ||= || || || || || || 3/31 || 116.129 ||= ||= || || || 1/10 || || || || 120 ||= ...to here; Negri generators from here... ||= Boundary of propriety: generators larger than this are proper || || || || || || || 1200/(8+<span style="line-height: 1.5;">sqrt(3))</span> || || || || || || || || 4/39 || 123.077 ||= ||= || || || || || 3/29 || || 124.138 ||= ||= || || || || || || || 1200/(8+phi) || || || || || || || || 5/48 || 125 ||= ||= || || || || || || || 1200/(8+pih) || || || || || || 2/19 || || || 126.316 ||= ...to here ||= || || || || || || 5/47 || 127.66 ||= ||= || || || || || 3/28 || || 128.571 ||= ||= || || || || || || 4/37 || 129.73 ||= ||= || || 1/9 || || || || || 133.333 ||= ||= ||
Original HTML content:
<html><head><title>1L 8s</title></head><body>This MOS, with a generator of up to 1/9edo (133.333 cents), represents temperaments like Miracle (2<L<3 s=1) and Negri (3<L<4 s=2). Of all the temperaments it represents, the harmonic entropy minimum is the one where the scale is generated by an interval near 3/28edo (L near 4 s=3).<br />
<table class="wiki_table">
<tr>
<td>0/1<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>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>1/13<br />
</td>
<td>92.308<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>1/12<br />
</td>
<td><br />
</td>
<td>100<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">L/s = 4<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>2/23<br />
</td>
<td>104.348<br />
</td>
<td style="text-align: center;"><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>1200/(8+pi)<br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>1/11<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>109.091<br />
</td>
<td style="text-align: center;">Miracle generators from here...<br />
</td>
<td style="text-align: center;">L/s = 3<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>1200/(8+e)<br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>3/32<br />
</td>
<td>112.5<br />
</td>
<td style="text-align: center;"><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>1200/(9+phi)<br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>2/21<br />
</td>
<td><br />
</td>
<td>114.286<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>3/31<br />
</td>
<td>116.129<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>1/10<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>120<br />
</td>
<td style="text-align: center;">...to here;<br />
Negri generators from here...<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>1200/(8+<span style="line-height: 1.5;">sqrt(3))</span><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>4/39<br />
</td>
<td>123.077<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>3/29<br />
</td>
<td><br />
</td>
<td>124.138<br />
</td>
<td style="text-align: center;"><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>1200/(8+phi)<br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>5/48<br />
</td>
<td>125<br />
</td>
<td style="text-align: center;"><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>1200/(8+pih)<br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>2/19<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>126.316<br />
</td>
<td style="text-align: center;">...to here<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>5/47<br />
</td>
<td>127.66<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>3/28<br />
</td>
<td><br />
</td>
<td>128.571<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>4/37<br />
</td>
<td>129.73<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td>1/9<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>133.333<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
</table>
</body></html>