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| Line 1: |
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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | This MOS, being two periods of L s s s s s, is always proper. Its generator is 1/12edo (100 cents) or smaller and it appears as the chromatic scale of Injera and Shrutar temperaments, among others. Injera is the harmonic entropy minimum for this pattern, generating 5/4 by moving up four generators from the root. |
| 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>2015-11-10 15:10:50 UTC</tt>.<br>
| |
| : The original revision id was <tt>565944071</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, being two periods of L s s s s s, is always proper. Its generator is 1/12edo (100 cents) or smaller and it appears as the chromatic scale of Injera and Shrutar temperaments, among others. Injera is the harmonic entropy minimum for this pattern, generating 5/4 by moving up four generators from the root.
| |
| || 0/2 || || || || || || 0 ||
| |
| || || || || || 1/20 || || 60 ||
| |
| || || || || 1/18 || || || 66.667 ||
| |
| || || || || || 2/34 || || 70.588 ||
| |
| || || || || || || || 600/(5+pi) ||
| |
| || || || 1/16 || || || || 75 ||
| |
| || || || || || || || 600/(5+e) ||
| |
| || || || || || 3/46 || || 78.261 ||
| |
| || || || || || || || 600/(6+phi) ||
| |
| || || || || 2/30 || || || 80 ||
| |
| || || || || || 3/44 || || 81.818 ||
| |
| || || 1/14 || || || || || 85.714 ||
| |
| || || || || || 4/54 || || 88.889 ||
| |
| || || || || || || || 600/(5+sqrt(3)) ||
| |
| || || || || 3/40 || || || 90 ||
| |
| || || || || || || || 600/(5+phi) ||
| |
| || || || || || 5/66 || || 90.909 ||
| |
| || || || || || || || 600/(5+pi/2) ||
| |
| || || || || || || 7/92 || 91.304 ||
| |
| || || || 2/26 || || || || 92.308 ||
| |
| || || || || || 5/64 || || 93.75 ||
| |
| || || || || 3/38 || || || 94.737 ||
| |
| || || || || || 4/50 || || 96 ||
| |
| || 1/12 || || || || || || 100 ||</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>2L 10s</title></head><body>This MOS, being two periods of L s s s s s, is always proper. Its generator is 1/12edo (100 cents) or smaller and it appears as the chromatic scale of Injera and Shrutar temperaments, among others. Injera is the harmonic entropy minimum for this pattern, generating 5/4 by moving up four generators from the root.<br />
| |
|
| |
|
| | | {| class="wikitable" |
| <table class="wiki_table">
| | |- |
| <tr>
| | | | 0/2 |
| <td>0/2<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 0 |
| <td><br />
| | |- |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 1/20 |
| <td>0<br />
| | | | |
| </td>
| | | | 60 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 1/18 |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 66.667 |
| <td><br />
| | |- |
| </td>
| | | | |
| <td>1/20<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 2/34 |
| <td>60<br />
| | | | |
| </td>
| | | | 70.588 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 600/(5+pi) |
| <td>1/18<br />
| | |- |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 1/16 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>66.667<br />
| | | | |
| </td>
| | | | 75 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 600/(5+e) |
| <td><br />
| | |- |
| </td>
| | | | |
| <td>2/34<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 3/46 |
| <td>70.588<br />
| | | | |
| </td>
| | | | 78.261 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 600/(6+phi) |
| <td><br />
| | |- |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 2/30 |
| </td>
| | | | |
| <td>600/(5+pi)<br />
| | | | |
| </td>
| | | | 80 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 3/44 |
| <td>1/16<br />
| | | | |
| </td>
| | | | 81.818 |
| <td><br />
| | |- |
| </td>
| | | | |
| <td><br />
| | | | 1/14 |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>75<br />
| | | | |
| </td>
| | | | 85.714 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 4/54 |
| <td><br />
| | | | |
| </td>
| | | | 88.889 |
| <td><br />
| | |- |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>600/(5+e)<br />
| | | | |
| </td>
| | | | 600/(5+sqrt(3)) |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 3/40 |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 90 |
| <td><br />
| | |- |
| </td>
| | | | |
| <td>3/46<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>78.261<br />
| | | | |
| </td>
| | | | 600/(5+phi) |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 5/66 |
| <td><br />
| | | | |
| </td>
| | | | 90.909 |
| <td><br />
| | |- |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>600/(6+phi)<br />
| | | | |
| </td>
| | | | 600/(5+pi/2) |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 7/92 |
| </td>
| | | | 91.304 |
| <td>2/30<br />
| | |- |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 2/26 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>80<br />
| | | | |
| </td>
| | | | 92.308 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 5/64 |
| <td><br />
| | | | |
| </td>
| | | | 93.75 |
| <td><br />
| | |- |
| </td>
| | | | |
| <td>3/44<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 3/38 |
| </td>
| | | | |
| <td>81.818<br />
| | | | |
| </td>
| | | | 94.737 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>1/14<br />
| | | | |
| </td>
| | | | 4/50 |
| <td><br />
| | | | |
| </td>
| | | | 96 |
| <td><br />
| | |- |
| </td>
| | | | 1/12 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>85.714<br />
| | | | |
| </td>
| | | | 100 |
| </tr>
| | |} |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>4/54<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>88.889<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>600/(5+sqrt(3))<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>3/40<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>90<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>600/(5+phi)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>5/66<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>90.909<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>600/(5+pi/2)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7/92<br />
| |
| </td>
| |
| <td>91.304<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>2/26<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>92.308<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>5/64<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>93.75<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>3/38<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>94.737<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>4/50<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>96<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>1/12<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>100<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
| | |
| </body></html></pre></div>
| |
This MOS, being two periods of L s s s s s, is always proper. Its generator is 1/12edo (100 cents) or smaller and it appears as the chromatic scale of Injera and Shrutar temperaments, among others. Injera is the harmonic entropy minimum for this pattern, generating 5/4 by moving up four generators from the root.
| 0/2
|
|
|
|
|
|
0
|
|
|
|
|
|
1/20
|
|
60
|
|
|
|
|
1/18
|
|
|
66.667
|
|
|
|
|
|
2/34
|
|
70.588
|
|
|
|
|
|
|
|
600/(5+pi)
|
|
|
|
1/16
|
|
|
|
75
|
|
|
|
|
|
|
|
600/(5+e)
|
|
|
|
|
|
3/46
|
|
78.261
|
|
|
|
|
|
|
|
600/(6+phi)
|
|
|
|
|
2/30
|
|
|
80
|
|
|
|
|
|
3/44
|
|
81.818
|
|
|
1/14
|
|
|
|
|
85.714
|
|
|
|
|
|
4/54
|
|
88.889
|
|
|
|
|
|
|
|
600/(5+sqrt(3))
|
|
|
|
|
3/40
|
|
|
90
|
|
|
|
|
|
|
|
600/(5+phi)
|
|
|
|
|
|
5/66
|
|
90.909
|
|
|
|
|
|
|
|
600/(5+pi/2)
|
|
|
|
|
|
|
7/92
|
91.304
|
|
|
|
2/26
|
|
|
|
92.308
|
|
|
|
|
|
5/64
|
|
93.75
|
|
|
|
|
3/38
|
|
|
94.737
|
|
|
|
|
|
4/50
|
|
96
|
| 1/12
|
|
|
|
|
|
100
|