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 2012-11-25 21:15:48 UTC.
- The original revision id was 385895740.
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Original Wikitext content:
This MOS, with a generator of up to 1/9edo (133 1/3 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 4/13 ||= ||= || || || || || 1/12 || || 100 ||= ||= L/s=4: generators smaller than this are "impractical" || || || || || || 2/23 || 104.347826 ||= ||= || || || || 1/11 || || || 109 1/11 ||= Miracle generators from here... ||= L/s=3: generators smaller than this may be considered "impractical" || || || || || || 3/32 || 112.5 ||= ||= || || || || || 2/21 || || 114 2/7 ||= ||= || || || || || || 3/31 || 116.129032 ||= ||= || || || 1/10 || || || || 120 ||= ...to here; Negri generators from here... ||= Boundary of propriety: generators larger than this are proper || || || || || || 4/39 || 123 1/13 ||= ||= || || || || || 3/29 || || 124.137931 ||= ||= || || || || || || 5/48 || 125 ||= ||= || || || || 2/19 || || || 126.315789 ||= ...to here ||= || || || || || || 5/47 || 127.659574 ||= ||= || || || || || 3/28 || || 128 4/7 ||= ||= || || || || || || 4/37 || 129 27/37 ||= ||= || || 1/9 || || || || || 133 1/3 ||= ||= ||
Original HTML content:
<html><head><title>1L 8s</title></head><body>This MOS, with a generator of up to 1/9edo (133 1/3 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 4/13<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 /> generators smaller than this are "impractical"<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>2/23<br /> </td> <td>104.347826<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>1/11<br /> </td> <td><br /> </td> <td><br /> </td> <td>109 1/11<br /> </td> <td style="text-align: center;">Miracle generators from here...<br /> </td> <td style="text-align: center;">L/s=3:<br /> generators smaller than this may be considered "impractical"<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>2/21<br /> </td> <td><br /> </td> <td>114 2/7<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>116.129032<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>4/39<br /> </td> <td>123 1/13<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>124.137931<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>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>2/19<br /> </td> <td><br /> </td> <td><br /> </td> <td>126.315789<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>127.659574<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 4/7<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 27/37<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 1/3<br /> </td> <td style="text-align: center;"><br /> </td> <td style="text-align: center;"><br /> </td> </tr> </table> </body></html>