1L 9s
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 2015-11-06 10:53:18 UTC.
- The original revision id was 565454719.
- The revision comment was:
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Original Wikitext content:
This MOS, generated by any interval up to a diatonic semitone of 1/10edo (120 cents), is called the "Happy" decatonic scale. It is the simplest MOS which may be used as a complete version of Miracle temperamet, which is also its harmonic entropy minimum. ||||||||||~ Generator (octave fraction) ||~ Generator (cents) ||~ Comments || || 0\1 || || || || || 0 ||= || || || || || || 1\14 || 85.714 ||= || || || || || 1\13 || || 92.308 ||= L/s = 4 || || || || || || 2\25 || 96 ||= || || || || || || || 1200/(9+pi) || || || || || 1\12 || || || 100 ||= L/s = 3 || || || || || || || 1200/(9+e) || || || || || || || 3\35 || 102.857 ||= || || || || || || || 1200/(10+phi) || || || || || || 2\23 || || 104.348 ||= || || || || || || 3\34 || 105.882 ||= || || || 1\11 || || || || 109.091 ||= || || || || || || || 1200/(9+sqrt(3)) || || || || || || || 4\43 || 111.628 ||= || || || || || 3\32 || || 112.5 ||= || || || || || || || 1200/(9+phi) || || || || || || || 5\53 || 113.2075 ||= || || || || || || || 1200/(9+pi/2) || || || || || 2\21 || || || 114.286 ||= || || || || || || 5\52 || 115.385 ||= || || || || || 3\31 || || 116.129 ||= || || || || || || 4\41 || 117.073 ||= || || 1\10 || || || || || 120 ||= ||
Original HTML content:
<html><head><title>1L 9s</title></head><body>This MOS, generated by any interval up to a diatonic semitone of 1/10edo (120 cents), is called the "Happy" decatonic scale. It is the simplest MOS which may be used as a complete version of Miracle temperamet, which is also its harmonic entropy minimum.<br />
<table class="wiki_table">
<tr>
<th colspan="5">Generator<br />
(octave fraction)<br />
</th>
<th>Generator<br />
(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>0<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\14<br />
</td>
<td>85.714<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>1\13<br />
</td>
<td><br />
</td>
<td>92.308<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\25<br />
</td>
<td>96<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+pi)<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>1\12<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>100<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/(9+e)<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>3\35<br />
</td>
<td>102.857<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/(10+phi)<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>2\23<br />
</td>
<td><br />
</td>
<td>104.348<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\34<br />
</td>
<td>105.882<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>1\11<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>109.091<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+sqrt(3))<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>4\43<br />
</td>
<td>111.628<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>3\32<br />
</td>
<td><br />
</td>
<td>112.5<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>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>5\53<br />
</td>
<td>113.2075<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+pi/2)<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>2\21<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>114.286<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\52<br />
</td>
<td>115.385<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>3\31<br />
</td>
<td><br />
</td>
<td>116.129<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\41<br />
</td>
<td>117.073<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td>1\10<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>120<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
</table>
</body></html>