|
|
| Line 1: |
Line 1: |
| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | This MOS pattern is somewhat of a wasteland as far as low-harmonic-entropy scales are concerned. However, there is one interesting no-5's scale, [[Chromatic_pairs#Bleu|bleu]]. In this scale, 5 steps make a 3/2, and the chord 11:12:13:14 is represented as three equal steps. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| |
| : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-11-04 15:47:37 UTC</tt>.<br>
| |
| : The original revision id was <tt>565209253</tt>.<br>
| |
| : The revision comment was: <tt></tt><br>
| |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| |
| <h4>Original Wikitext content:</h4>
| |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">This MOS pattern is somewhat of a wasteland as far as low-harmonic-entropy scales are concerned. However, there is one interesting no-5's scale, [[Chromatic pairs#Bleu|bleu]]. In this scale, 5 steps make a 3/2, and the chord 11:12:13:14 is represented as three equal steps.
| |
| ||||||||||~ Generator ||~ ||~ ||~ Cents ||~ Comments ||
| |
| || 0\1 || || || || || || || 0 ||= ||
| |
| || || || || 1\11 || || || || 109.09 ||= L/s = 4 ||
| |
| || || || || || || || || 1200/(7+pi) ||= <span style="display: block; text-align: center;">L/s = pi</span> ||
| |
| || || || 1\10 || || || || || 120 ||= L/s = 3 ||
| |
| || || || || || || || || 1200/(7+e) ||= <span style="display: block; text-align: center;">L/s = e</span> ||
| |
| || || || || || 3\29 || || || 124.14 || ||
| |
| || || || || || || || 8\77 || 124.675 || ||
| |
| || || || || || || 5\48 || || 125 || ||
| |
| || || || || 2\19 || || || || 126.32 || ||
| |
| || || 1\9 || || || || || || 133.33 ||= Boundary of propriety:
| |
| generators larger than this are proper ||
| |
| || || || || || || || || 1200/(7+sqrt(3)) || ||
| |
| || || || || 3\26 || || || || 138.46 ||= ||
| |
| || || || || || || 8\69 || || 139.13 ||= ||
| |
| || || || || || || || 13\112 || 139.29 ||= Golden bleu ||
| |
| || || || || || 5\43 || || || 139.53 ||= ||
| |
| || || || || || || || || 1200/(7+pi/2) || ||
| |
| || || || 2\17 || || || || || 141.18 ||= Bleu is around here
| |
| Optimum rank range (L/s=3/2) ||
| |
| || 1\8 || || || || || || || 150 ||= ||</pre></div>
| |
| <h4>Original HTML content:</h4>
| |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>1L 7s</title></head><body>This MOS pattern is somewhat of a wasteland as far as low-harmonic-entropy scales are concerned. However, there is one interesting no-5's scale, <a class="wiki_link" href="/Chromatic%20pairs#Bleu">bleu</a>. In this scale, 5 steps make a 3/2, and the chord 11:12:13:14 is represented as three equal steps.<br />
| |
|
| |
|
| | {| class="wikitable" |
| | |- |
| | ! colspan="5" | Generator |
| | ! | |
| | ! | |
| | ! | Cents |
| | ! | Comments |
| | |- |
| | | | 0\1 |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 0 |
| | | style="text-align:center;" | |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | 1\11 |
| | | | |
| | | | |
| | | | |
| | | | 109.09 |
| | | style="text-align:center;" | L/s = 4 |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 1200/(7+pi) |
| | | style="text-align:center;" | <span style="display: block; text-align: center;">L/s = pi</span> |
| | |- |
| | | | |
| | | | |
| | | | 1\10 |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 120 |
| | | style="text-align:center;" | L/s = 3 |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 1200/(7+e) |
| | | style="text-align:center;" | <span style="display: block; text-align: center;">L/s = e</span> |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 3\29 |
| | | | |
| | | | |
| | | | 124.14 |
| | | | |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 8\77 |
| | | | 124.675 |
| | | | |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 5\48 |
| | | | |
| | | | 125 |
| | | | |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | 2\19 |
| | | | |
| | | | |
| | | | |
| | | | 126.32 |
| | | | |
| | |- |
| | | | |
| | | | 1\9 |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 133.33 |
| | | style="text-align:center;" | Boundary of propriety: |
|
| |
|
| <table class="wiki_table">
| | generators larger than this are proper |
| <tr>
| | |- |
| <th colspan="5">Generator<br />
| | | | |
| </th>
| | | | |
| <th><br />
| | | | |
| </th>
| | | | |
| <th><br />
| | | | |
| </th>
| | | | |
| <th>Cents<br />
| | | | |
| </th>
| | | | 1200/(7+sqrt(3)) |
| <th>Comments<br />
| | | | |
| </th>
| | |- |
| </tr>
| | | | |
| <tr>
| | | | |
| <td>0\1<br />
| | | | |
| </td>
| | | | 3\26 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 138.46 |
| <td><br />
| | | style="text-align:center;" | |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 8\69 |
| <td>0<br />
| | | | |
| </td>
| | | | 139.13 |
| <td style="text-align: center;"><br />
| | | style="text-align:center;" | |
| </td>
| | |- |
| </tr>
| | | | |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 13\112 |
| </td>
| | | | 139.29 |
| <td>1\11<br />
| | | style="text-align:center;" | Golden bleu |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 5\43 |
| </td>
| | | | |
| <td>109.09<br />
| | | | |
| </td>
| | | | 139.53 |
| <td style="text-align: center;">L/s = 4<br />
| | | style="text-align:center;" | |
| </td>
| | |- |
| </tr>
| | | | |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 1200/(7+pi/2) |
| <td><br />
| | | | |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 2\17 |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>1200/(7+pi)<br />
| | | | |
| </td>
| | | | 141.18 |
| <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = pi</span><br />
| | | style="text-align:center;" | Bleu is around here |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <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;">L/s = 3<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>1200/(7+e)<br />
| |
| </td>
| |
| <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = e</span><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>3\29<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>124.14<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>8\77<br />
| |
| </td>
| |
| <td>124.675<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>5\48<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>125<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>2\19<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>126.32<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>1\9<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>133.33<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><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>1200/(7+sqrt(3))<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>3\26<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>138.46<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>8\69<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>139.13<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>13\112<br />
| |
| </td>
| |
| <td>139.29<br />
| |
| </td>
| |
| <td style="text-align: center;">Golden bleu<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>5\43<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>139.53<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>1200/(7+pi/2)<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>2\17<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>141.18<br />
| |
| </td>
| |
| <td style="text-align: center;">Bleu is around here<br />
| |
| Optimum rank range (L/s=3/2)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>1\8<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>150<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| </body></html></pre></div>
| | Optimum rank range (L/s=3/2) |
| | |- |
| | | | 1\8 |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 150 |
| | | style="text-align:center;" | |
| | |} |
| | [[Category:mos]] |
| | [[Category:scales]] |
This MOS pattern is somewhat of a wasteland as far as low-harmonic-entropy scales are concerned. However, there is one interesting no-5's scale, bleu. In this scale, 5 steps make a 3/2, and the chord 11:12:13:14 is represented as three equal steps.
| Generator
|
|
|
Cents
|
Comments
|
| 0\1
|
|
|
|
|
|
|
0
|
|
|
|
|
|
1\11
|
|
|
|
109.09
|
L/s = 4
|
|
|
|
|
|
|
|
|
1200/(7+pi)
|
L/s = pi
|
|
|
|
1\10
|
|
|
|
|
120
|
L/s = 3
|
|
|
|
|
|
|
|
|
1200/(7+e)
|
L/s = e
|
|
|
|
|
|
3\29
|
|
|
124.14
|
|
|
|
|
|
|
|
|
8\77
|
124.675
|
|
|
|
|
|
|
|
5\48
|
|
125
|
|
|
|
|
|
2\19
|
|
|
|
126.32
|
|
|
|
1\9
|
|
|
|
|
|
133.33
|
Boundary of propriety:
generators larger than this are proper
|
|
|
|
|
|
|
|
|
1200/(7+sqrt(3))
|
|
|
|
|
|
3\26
|
|
|
|
138.46
|
|
|
|
|
|
|
|
8\69
|
|
139.13
|
|
|
|
|
|
|
|
|
13\112
|
139.29
|
Golden bleu
|
|
|
|
|
|
5\43
|
|
|
139.53
|
|
|
|
|
|
|
|
|
|
1200/(7+pi/2)
|
|
|
|
|
2\17
|
|
|
|
|
141.18
|
Bleu is around here
Optimum rank range (L/s=3/2)
|
| 1\8
|
|
|
|
|
|
|
150
|
|