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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | Omnitetrachordal MODMOS scale |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2016-09-01 20:31:43 UTC</tt>.<br>
| | [[7L_13s|7L+13s]] |
| : The original revision id was <tt>590810870</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">Omnitetrachordal MODMOS scale
| |
| [[7L 13s|7L+13s]] | |
| 20 tones (8+4+8) | | 20 tones (8+4+8) |
|
| |
|
| [[Tetracot family|Tetracot]] MODMOS. Comes in 3 forms! | | [[Tetracot_family|Tetracot]] MODMOS. Comes in 3 forms! |
|
| |
|
| [[Gallery of omnitetrachordal scales#perfect|P]] = 4.1745609664 | | [[Gallery_of_omnitetrachordal_scales#perfect|P]] = 4.1745609664 |
| [[Gallery of omnitetrachordal scales#Q|Q]] = 9.4523018119 (4/3 = 3L+4.5s) | | |
| | [[Gallery_of_omnitetrachordal_scales#Q|Q]] = 9.4523018119 (4/3 = 3L+4.5s) |
|
| |
|
| L = 60.00 to 171.43 cents (118.65 cents @ P, 143.28 cents @ Q) | | L = 60.00 to 171.43 cents (118.65 cents @ P, 143.28 cents @ Q) |
| | |
| s = 0.00 to 60.00 cents (28.42 cents @ P, 15.16 cents @ Q) | | s = 0.00 to 60.00 cents (28.42 cents @ P, 15.16 cents @ Q) |
|
| |
|
| 9/8 = L+3s (171.43 to 240.00 cents) | | 9/8 = L+3s (171.43 to 240.00 cents) |
| | |
| 4/3 = 3L+5s (480.00 to 514.29 cents) | | 4/3 = 3L+5s (480.00 to 514.29 cents) |
| | |
| MOS generator = L+2s (171.43 to 180.00 cents) | | MOS generator = L+2s (171.43 to 180.00 cents) |
|
| |
|
| notable EDOs: 27, 34, 41, 61, 75 | | notable EDOs: 27, 34, 41, 61, 75 |
|
| |
|
| {{ ssLssLssLssLssLssLsL }} (MOS, not OTC)
| | <tt> ssLssLssLssLssLssLsL </tt> (MOS, not OTC) |
| {{ || |||| || }}
| | |
| {{ ssLsssLssLLsssLssLLs }} (OTC MODMOS, form 1) - gc 9,3,2,2,2; 2o
| | <tt> || |||| || </tt> |
| | |
| | <tt> ssLsssLssLLsssLssLLs </tt> (OTC MODMOS, form 1) - gc 9,3,2,2,2; 2o |
| | |
| | <tt> ssLssLssLssLssLssLsL </tt> (MOS, not OTC) |
| | |
| | <tt> || || |||| </tt> |
| | |
| | <tt> ssLsssLsLsLsssLsLsLs </tt> (OTC MODMOS, form 2) - gc 10,3,3; 4o |
|
| |
|
| {{ ssLssLssLssLssLssLsL }} (MOS, not OTC)
| | <tt> ssLssLssLssLssLssLsL </tt> (MOS, not OTC) |
| {{ || || |||| }}
| |
| {{ ssLsssLsLsLsssLsLsLs }} (OTC MODMOS, form 2) - gc 10,3,3; 4o
| |
|
| |
|
| {{ ssLssLssLssLssLssLsL }} (MOS, not OTC)
| | <tt> |||| || || </tt> |
| {{ |||| || || }}
| |
| {{ ssLsssLLssLsssLsssLL }} (OTC MODMOS, form 3) - gc 9,3,2,2,2; 2o
| |
|
| |
|
| {{ sssLsssLssLLsssLssLL }} (form 1)
| | <tt> ssLsssLLssLsssLsssLL </tt> (OTC MODMOS, form 3) - gc 9,3,2,2,2; 2o |
| {{ || || }}
| |
| {{ sssLsssLsLsLsssLsLsL }} (form 2)
| |
| {{ || || }}
| |
| {{ sssLsssLLssLsssLLssL }} (form 3)
| |
| {{ | | | | }}
| |
| {{ sssLsssLssLLsssLssLL }} (form 1)
| |
|
| |
|
| all modes, form 1:
| | <tt> sssLsssLssLLsssLssLL </tt> (form 1) |
| || {{ sssL sssLssLL sssLssLL }} || || ||
| | |
| || {{ ssLs ssLssLLs ssLssLLs }} || || ||
| | <tt> || || </tt> |
| || {{ sLss sLssLLss sLssLLss }} || || ||
| |
| || {{ Lsss LssLLsss LssLLsss }} || || {{ LsssLssL LsssLssL Lsss }} ||
| |
| || {{ sssL ssLLsssL ssLLsssL }} || || {{ sssLssLL sssLssLL sssL }} ||
| |
| || {{ ssLs sLLsssLs sLLsssLs }} || || {{ ssLssLLs ssLssLLs ssLs }} ||
| |
| || {{ sLss LLsssLss LLsssLss }} || || {{ sLssLLss sLssLLss sLss }} ||
| |
| || || || {{ LssLLsss LssLLsss Lsss }} ||
| |
| || || || {{ ssLLsssL ssLLsssL sssL }} ||
| |
| || || || {{ sLLsssLs sLLsssLs ssLs }} ||
| |
| || || || {{ LLsssLss LLsssLss sLss }} ||
| |
| || || {{ LsssLssL Lsss LsssLssL }} || ||
| |
| || || {{ sssLssLL sssL sssLssLL }} || ||
| |
| || || {{ ssLssLLs ssLs ssLssLLs }} || ||
| |
| || || {{ sLssLLss sLss sLssLLss }} || || | |
| || || {{ LssLLsss Lsss LssLLsss }} || ||
| |
| || || {{ ssLLsssL sssL ssLLsssL }} || ||
| |
| || || {{ sLLsssLs ssLs sLLsssLs }} || ||
| |
| || || {{ LLsssLss sLss LLsssLss }} || ||
| |
| || {{ Lsss LsssLssL LsssLssL }} || || ||
| |
|
| |
|
| all modes, form 2:
| | <tt> sssLsssLsLsLsssLsLsL </tt> (form 2) |
| || {{ sssL sssLsLsL sssLsLsL }} || || ||
| |
| || {{ ssLs ssLsLsLs ssLsLsLs }} || || ||
| |
| || {{ sLss sLsLsLss sLsLsLss }} || || {{ sLsssLsL sLsssLsL sLss }} ||
| |
| || {{ Lsss LsLsLsss LsLsLsss }} || || {{ LsssLsLs LsssLsLs Lsss }} ||
| |
| || {{ sssL sLsLsssL sLsLsssL }} || || {{ sssLsLsL sssLsLsL sssL }} ||
| |
| || {{ ssLs LsLsssLs LsLsssLs }} || || {{ ssLsLsLs ssLsLsLs ssLs }} ||
| |
| || || || {{ sLsLsLss sLsLsLss sLss }} ||
| |
| || || || {{ LsLsLsss LsLsLsss Lsss }} ||
| |
| || || || {{ sLsLsssL sLsLsssL sssL }} ||
| |
| || || || {{ LsLsssLs LsLsssLs ssLs }} ||
| |
| || || {{ sLsssLsL sLss sLsssLsL }} || ||
| |
| || || {{ LsssLsLs Lsss LsssLsLs }} || ||
| |
| || || {{ sssLsLsL sssL sssLsLsL }} || ||
| |
| || || {{ ssLsLsLs ssLs ssLsLsLs }} || ||
| |
| || || {{ sLsLsLss sLss sLsLsLss }} || ||
| |
| || || {{ LsLsLsss Lsss LsLsLsss }} || ||
| |
| || || {{ sLsLsssL sssL sLsLsssL }} || ||
| |
| || || {{ LsLsssLs ssLs LsLsssLs }} || ||
| |
| || {{ sLss sLsssLsL sLsssLsL }} || || ||
| |
| || {{ Lsss LsssLsLs LsssLsLs }} || || ||
| |
|
| |
|
| all modes, form 3:
| | <tt> || || </tt> |
| || {{ sssL sssLLssL sssLLssL }} || || ||
| |
| || {{ ssLs ssLLssLs ssLLssLs }} || || {{ ssLsssLL ssLsssLL ssLs }} ||
| |
| || {{ sLss sLLssLss sLLssLss }} || || {{ sLsssLLs sLsssLLs sLss }} ||
| |
| || {{ Lsss LLssLsss LLssLsss }} || || {{ LsssLLss LsssLLss Lsss }} ||
| |
| || {{ sssL LssLsssL LssLsssL }} || || {{ sssLLssL sssLLssL sssL }} ||
| |
| || || || {{ ssLLssLs ssLLssLs ssLs }} ||
| |
| || || || {{ sLLssLss sLLssLss sLss }} ||
| |
| || || || {{ LLssLsss LLssLsss Lsss }} ||
| |
| || || || {{ LssLsssL LssLsssL sssL }} ||
| |
| || || {{ ssLsssLL ssLs ssLsssLL }} || ||
| |
| || || {{ sLsssLLs sLss sLsssLLs }} || ||
| |
| || || {{ LsssLLss Lsss LsssLLss }} || ||
| |
| || || {{ sssLLssL sssL sssLLssL }} || ||
| |
| || || {{ ssLLssLs ssLs ssLLssLs }} || ||
| |
| || || {{ sLLssLss sLss sLLssLss }} || ||
| |
| || || {{ LLssLsss Lsss LLssLsss }} || ||
| |
| || || {{ LssLsssL sssL LssLsssL }} || ||
| |
| || {{ ssLs ssLsssLL ssLsssLL }} || || ||
| |
| || {{ sLss sLsssLLs sLsssLLs }} || || ||
| |
| || {{ Lsss LsssLLss LsssLLss }} || || ||
| |
|
| |
|
| [[image:20_07_13_LsssLssL_Lsss_LsssLssL.png]]
| | <tt> sssLsssLLssLsssLLssL </tt> (form 3) |
|
| |
|
| ===See also===
| | <tt> | | | | </tt> |
| * [[Omnitetrachordality]]
| |
| * [[Gallery of omnitetrachordal scales]]
| |
| </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>OTC 7L 13s</title></head><body>Omnitetrachordal MODMOS scale<br />
| |
| <a class="wiki_link" href="/7L%2013s">7L+13s</a><br />
| |
| 20 tones (8+4+8)<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tetracot%20family">Tetracot</a> MODMOS. Comes in 3 forms!<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 4.1745609664<br />
| |
| <a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 9.4523018119 (4/3 = 3L+4.5s)<br />
| |
| <br />
| |
| L = 60.00 to 171.43 cents (118.65 cents @ P, 143.28 cents @ Q)<br />
| |
| s = 0.00 to 60.00 cents (28.42 cents @ P, 15.16 cents @ Q)<br />
| |
| <br />
| |
| 9/8 = L+3s (171.43 to 240.00 cents)<br />
| |
| 4/3 = 3L+5s (480.00 to 514.29 cents)<br />
| |
| MOS generator = L+2s (171.43 to 180.00 cents)<br />
| |
| <br />
| |
| notable EDOs: 27, 34, 41, 61, 75<br />
| |
| <br />
| |
| <tt> ssLssLssLssLssLssLsL </tt> (MOS, not OTC)<br />
| |
| <tt> || |||| || </tt><br />
| |
| <tt> ssLsssLssLLsssLssLLs </tt> (OTC MODMOS, form 1) - gc 9,3,2,2,2; 2o<br />
| |
| <br />
| |
| <tt> ssLssLssLssLssLssLsL </tt> (MOS, not OTC)<br />
| |
| <tt> || || |||| </tt><br />
| |
| <tt> ssLsssLsLsLsssLsLsLs </tt> (OTC MODMOS, form 2) - gc 10,3,3; 4o<br />
| |
| <br />
| |
| <tt> ssLssLssLssLssLssLsL </tt> (MOS, not OTC)<br />
| |
| <tt> |||| || || </tt><br />
| |
| <tt> ssLsssLLssLsssLsssLL </tt> (OTC MODMOS, form 3) - gc 9,3,2,2,2; 2o<br />
| |
| <br />
| |
| <tt> sssLsssLssLLsssLssLL </tt> (form 1)<br />
| |
| <tt> || || </tt><br />
| |
| <tt> sssLsssLsLsLsssLsLsL </tt> (form 2)<br />
| |
| <tt> || || </tt><br />
| |
| <tt> sssLsssLLssLsssLLssL </tt> (form 3)<br />
| |
| <tt> | | | | </tt><br />
| |
| <tt> sssLsssLssLLsssLssLL </tt> (form 1)<br />
| |
| <br />
| |
| all modes, form 1:<br />
| |
|
| |
|
| | <tt> sssLsssLssLLsssLssLL </tt> (form 1) |
|
| |
|
| <table class="wiki_table">
| | all modes, form 1: |
| <tr>
| |
| <td><tt> sssL sssLssLL sssLssLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> ssLs ssLssLLs ssLssLLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> sLss sLssLLss sLssLLss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> Lsss LssLLsss LssLLsss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsssLssL LsssLssL Lsss </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> sssL ssLLsssL ssLLsssL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sssLssLL sssLssLL sssL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> ssLs sLLsssLs sLLsssLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> ssLssLLs ssLssLLs ssLs </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> sLss LLsssLss LLsssLss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLssLLss sLssLLss sLss </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LssLLsss LssLLsss Lsss </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> ssLLsssL ssLLsssL sssL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLLsssLs sLLsssLs ssLs </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLsssLss LLsssLss sLss </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsssLssL Lsss LsssLssL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sssLssLL sssL sssLssLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> ssLssLLs ssLs ssLssLLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLssLLss sLss sLssLLss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LssLLsss Lsss LssLLsss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> ssLLsssL sssL ssLLsssL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLLsssLs ssLs sLLsssLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLsssLss sLss LLsssLss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> Lsss LsssLssL LsssLssL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | {| class="wikitable" |
| all modes, form 2:<br />
| | |- |
| | | | <tt> sssL sssLssLL sssLssLL </tt> |
| | | | |
| | | | |
| | |- |
| | | | <tt> ssLs ssLssLLs ssLssLLs </tt> |
| | | | |
| | | | |
| | |- |
| | | | <tt> sLss sLssLLss sLssLLss </tt> |
| | | | |
| | | | |
| | |- |
| | | | <tt> Lsss LssLLsss LssLLsss </tt> |
| | | | |
| | | | <tt> LsssLssL LsssLssL Lsss </tt> |
| | |- |
| | | | <tt> sssL ssLLsssL ssLLsssL </tt> |
| | | | |
| | | | <tt> sssLssLL sssLssLL sssL </tt> |
| | |- |
| | | | <tt> ssLs sLLsssLs sLLsssLs </tt> |
| | | | |
| | | | <tt> ssLssLLs ssLssLLs ssLs </tt> |
| | |- |
| | | | <tt> sLss LLsssLss LLsssLss </tt> |
| | | | |
| | | | <tt> sLssLLss sLssLLss sLss </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> LssLLsss LssLLsss Lsss </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> ssLLsssL ssLLsssL sssL </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> sLLsssLs sLLsssLs ssLs </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> LLsssLss LLsssLss sLss </tt> |
| | |- |
| | | | |
| | | | <tt> LsssLssL Lsss LsssLssL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> sssLssLL sssL sssLssLL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> ssLssLLs ssLs ssLssLLs </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> sLssLLss sLss sLssLLss </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LssLLsss Lsss LssLLsss </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> ssLLsssL sssL ssLLsssL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> sLLsssLs ssLs sLLsssLs </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LLsssLss sLss LLsssLss </tt> |
| | | | |
| | |- |
| | | | <tt> Lsss LsssLssL LsssLssL </tt> |
| | | | |
| | | | |
| | |} |
|
| |
|
| | all modes, form 2: |
|
| |
|
| <table class="wiki_table">
| | {| class="wikitable" |
| <tr>
| | |- |
| <td><tt> sssL sssLsLsL sssLsLsL </tt><br />
| | | | <tt> sssL sssLsLsL sssLsLsL </tt> |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | |- |
| <td><br />
| | | | <tt> ssLs ssLsLsLs ssLsLsLs </tt> |
| </td>
| | | | |
| </tr>
| | | | |
| <tr>
| | |- |
| <td><tt> ssLs ssLsLsLs ssLsLsLs </tt><br />
| | | | <tt> sLss sLsLsLss sLsLsLss </tt> |
| </td>
| | | | |
| <td><br />
| | | | <tt> sLsssLsL sLsssLsL sLss </tt> |
| </td>
| | |- |
| <td><br />
| | | | <tt> Lsss LsLsLsss LsLsLsss </tt> |
| </td>
| | | | |
| </tr>
| | | | <tt> LsssLsLs LsssLsLs Lsss </tt> |
| <tr>
| | |- |
| <td><tt> sLss sLsLsLss sLsLsLss </tt><br />
| | | | <tt> sssL sLsLsssL sLsLsssL </tt> |
| </td>
| | | | |
| <td><br />
| | | | <tt> sssLsLsL sssLsLsL sssL </tt> |
| </td>
| | |- |
| <td><tt> sLsssLsL sLsssLsL sLss </tt><br />
| | | | <tt> ssLs LsLsssLs LsLsssLs </tt> |
| </td>
| | | | |
| </tr>
| | | | <tt> ssLsLsLs ssLsLsLs ssLs </tt> |
| <tr>
| | |- |
| <td><tt> Lsss LsLsLsss LsLsLsss </tt><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | <tt> sLsLsLss sLsLsLss sLss </tt> |
| </td>
| | |- |
| <td><tt> LsssLsLs LsssLsLs Lsss </tt><br />
| | | | |
| </td>
| | | | |
| </tr>
| | | | <tt> LsLsLsss LsLsLsss Lsss </tt> |
| <tr>
| | |- |
| <td><tt> sssL sLsLsssL sLsLsssL </tt><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | <tt> sLsLsssL sLsLsssL sssL </tt> |
| </td>
| | |- |
| <td><tt> sssLsLsL sssLsLsL sssL </tt><br />
| | | | |
| </td>
| | | | |
| </tr>
| | | | <tt> LsLsssLs LsLsssLs ssLs </tt> |
| <tr>
| | |- |
| <td><tt> ssLs LsLsssLs LsLsssLs </tt><br />
| | | | |
| </td>
| | | | <tt> sLsssLsL sLss sLsssLsL </tt> |
| <td><br />
| | | | |
| </td>
| | |- |
| <td><tt> ssLsLsLs ssLsLsLs ssLs </tt><br />
| | | | |
| </td>
| | | | <tt> LsssLsLs Lsss LsssLsLs </tt> |
| </tr>
| | | | |
| <tr>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | <tt> sssLsLsL sssL sssLsLsL </tt> |
| <td><br />
| | | | |
| </td>
| | |- |
| <td><tt> sLsLsLss sLsLsLss sLss </tt><br />
| | | | |
| </td>
| | | | <tt> ssLsLsLs ssLs ssLsLsLs </tt> |
| </tr>
| | | | |
| <tr>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | <tt> sLsLsLss sLss sLsLsLss </tt> |
| <td><br />
| | | | |
| </td>
| | |- |
| <td><tt> LsLsLsss LsLsLsss Lsss </tt><br />
| | | | |
| </td>
| | | | <tt> LsLsLsss Lsss LsLsLsss </tt> |
| </tr>
| | | | |
| <tr>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | <tt> sLsLsssL sssL sLsLsssL </tt> |
| <td><br />
| | | | |
| </td>
| | |- |
| <td><tt> sLsLsssL sLsLsssL sssL </tt><br />
| | | | |
| </td>
| | | | <tt> LsLsssLs ssLs LsLsssLs </tt> |
| </tr>
| | | | |
| <tr>
| | |- |
| <td><br />
| | | | <tt> sLss sLsssLsL sLsssLsL </tt> |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | |- |
| <td><tt> LsLsssLs LsLsssLs ssLs </tt><br />
| | | | <tt> Lsss LsssLsLs LsssLsLs </tt> |
| </td>
| | | | |
| </tr>
| | | | |
| <tr>
| | |} |
| <td><br />
| |
| </td>
| |
| <td><tt> sLsssLsL sLss sLsssLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsssLsLs Lsss LsssLsLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sssLsLsL sssL sssLsLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> ssLsLsLs ssLs ssLsLsLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLsLsLss sLss sLsLsLss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLsLsss Lsss LsLsLsss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLsLsssL sssL sLsLsssL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLsssLs ssLs LsLsssLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> sLss sLsssLsL sLsssLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> Lsss LsssLsLs LsssLsLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | all modes, form 3: |
| all modes, form 3:<br /> | |
|
| |
|
| | {| class="wikitable" |
| | |- |
| | | | <tt> sssL sssLLssL sssLLssL </tt> |
| | | | |
| | | | |
| | |- |
| | | | <tt> ssLs ssLLssLs ssLLssLs </tt> |
| | | | |
| | | | <tt> ssLsssLL ssLsssLL ssLs </tt> |
| | |- |
| | | | <tt> sLss sLLssLss sLLssLss </tt> |
| | | | |
| | | | <tt> sLsssLLs sLsssLLs sLss </tt> |
| | |- |
| | | | <tt> Lsss LLssLsss LLssLsss </tt> |
| | | | |
| | | | <tt> LsssLLss LsssLLss Lsss </tt> |
| | |- |
| | | | <tt> sssL LssLsssL LssLsssL </tt> |
| | | | |
| | | | <tt> sssLLssL sssLLssL sssL </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> ssLLssLs ssLLssLs ssLs </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> sLLssLss sLLssLss sLss </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> LLssLsss LLssLsss Lsss </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> LssLsssL LssLsssL sssL </tt> |
| | |- |
| | | | |
| | | | <tt> ssLsssLL ssLs ssLsssLL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> sLsssLLs sLss sLsssLLs </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LsssLLss Lsss LsssLLss </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> sssLLssL sssL sssLLssL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> ssLLssLs ssLs ssLLssLs </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> sLLssLss sLss sLLssLss </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LLssLsss Lsss LLssLsss </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LssLsssL sssL LssLsssL </tt> |
| | | | |
| | |- |
| | | | <tt> ssLs ssLsssLL ssLsssLL </tt> |
| | | | |
| | | | |
| | |- |
| | | | <tt> sLss sLsssLLs sLsssLLs </tt> |
| | | | |
| | | | |
| | |- |
| | | | <tt> Lsss LsssLLss LsssLLss </tt> |
| | | | |
| | | | |
| | |} |
|
| |
|
| <table class="wiki_table">
| | [[File:20_07_13_LsssLssL_Lsss_LsssLssL.png|alt=20_07_13_LsssLssL_Lsss_LsssLssL.png|20_07_13_LsssLssL_Lsss_LsssLssL.png]] |
| <tr>
| |
| <td><tt> sssL sssLLssL sssLLssL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> ssLs ssLLssLs ssLLssLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> ssLsssLL ssLsssLL ssLs </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> sLss sLLssLss sLLssLss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLsssLLs sLsssLLs sLss </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> Lsss LLssLsss LLssLsss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsssLLss LsssLLss Lsss </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> sssL LssLsssL LssLsssL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sssLLssL sssLLssL sssL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> ssLLssLs ssLLssLs ssLs </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLLssLss sLLssLss sLss </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLssLsss LLssLsss Lsss </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LssLsssL LssLsssL sssL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> ssLsssLL ssLs ssLsssLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLsssLLs sLss sLsssLLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsssLLss Lsss LsssLLss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sssLLssL sssL sssLLssL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> ssLLssLs ssLs ssLLssLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLLssLss sLss sLLssLss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLssLsss Lsss LLssLsss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LssLsssL sssL LssLsssL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> ssLs ssLsssLL ssLsssLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> sLss sLsssLLs sLsssLLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> Lsss LsssLLss LsssLLss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | ===See also=== |
| <!-- ws:start:WikiTextLocalImageRule:494:&lt;img src=&quot;/file/view/20_07_13_LsssLssL_Lsss_LsssLssL.png/589285476/20_07_13_LsssLssL_Lsss_LsssLssL.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/20_07_13_LsssLssL_Lsss_LsssLssL.png/589285476/20_07_13_LsssLssL_Lsss_LsssLssL.png" alt="20_07_13_LsssLssL_Lsss_LsssLssL.png" title="20_07_13_LsssLssL_Lsss_LsssLssL.png" /><!-- ws:end:WikiTextLocalImageRule:494 --><br />
| | <ul><li>[[Omnitetrachordality|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales|Gallery of omnitetrachordal scales]]</li></ul> |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--See also"></a><!-- ws:end:WikiTextHeadingRule:0 -->See also</h3>
| |
| <ul><li><a class="wiki_link" href="/Omnitetrachordality">Omnitetrachordality</a></li><li><a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales">Gallery of omnitetrachordal scales</a></li></ul></body></html></pre></div>
| |
Omnitetrachordal MODMOS scale
7L+13s
20 tones (8+4+8)
Tetracot MODMOS. Comes in 3 forms!
P = 4.1745609664
Q = 9.4523018119 (4/3 = 3L+4.5s)
L = 60.00 to 171.43 cents (118.65 cents @ P, 143.28 cents @ Q)
s = 0.00 to 60.00 cents (28.42 cents @ P, 15.16 cents @ Q)
9/8 = L+3s (171.43 to 240.00 cents)
4/3 = 3L+5s (480.00 to 514.29 cents)
MOS generator = L+2s (171.43 to 180.00 cents)
notable EDOs: 27, 34, 41, 61, 75
ssLssLssLssLssLssLsL (MOS, not OTC)
|| |||| ||
ssLsssLssLLsssLssLLs (OTC MODMOS, form 1) - gc 9,3,2,2,2; 2o
ssLssLssLssLssLssLsL (MOS, not OTC)
|| || ||||
ssLsssLsLsLsssLsLsLs (OTC MODMOS, form 2) - gc 10,3,3; 4o
ssLssLssLssLssLssLsL (MOS, not OTC)
|||| || ||
ssLsssLLssLsssLsssLL (OTC MODMOS, form 3) - gc 9,3,2,2,2; 2o
sssLsssLssLLsssLssLL (form 1)
|| ||
sssLsssLsLsLsssLsLsL (form 2)
|| ||
sssLsssLLssLsssLLssL (form 3)
| | | |
sssLsssLssLLsssLssLL (form 1)
all modes, form 1:
sssL sssLssLL sssLssLL
|
|
|
ssLs ssLssLLs ssLssLLs
|
|
|
sLss sLssLLss sLssLLss
|
|
|
Lsss LssLLsss LssLLsss
|
|
LsssLssL LsssLssL Lsss
|
sssL ssLLsssL ssLLsssL
|
|
sssLssLL sssLssLL sssL
|
ssLs sLLsssLs sLLsssLs
|
|
ssLssLLs ssLssLLs ssLs
|
sLss LLsssLss LLsssLss
|
|
sLssLLss sLssLLss sLss
|
|
|
LssLLsss LssLLsss Lsss
|
|
|
ssLLsssL ssLLsssL sssL
|
|
|
sLLsssLs sLLsssLs ssLs
|
|
|
LLsssLss LLsssLss sLss
|
|
LsssLssL Lsss LsssLssL
|
|
|
sssLssLL sssL sssLssLL
|
|
|
ssLssLLs ssLs ssLssLLs
|
|
|
sLssLLss sLss sLssLLss
|
|
|
LssLLsss Lsss LssLLsss
|
|
|
ssLLsssL sssL ssLLsssL
|
|
|
sLLsssLs ssLs sLLsssLs
|
|
|
LLsssLss sLss LLsssLss
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Lsss LsssLssL LsssLssL
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all modes, form 2:
sssL sssLsLsL sssLsLsL
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ssLs ssLsLsLs ssLsLsLs
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sLss sLsLsLss sLsLsLss
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sLsssLsL sLsssLsL sLss
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Lsss LsLsLsss LsLsLsss
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LsssLsLs LsssLsLs Lsss
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sssL sLsLsssL sLsLsssL
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sssLsLsL sssLsLsL sssL
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ssLs LsLsssLs LsLsssLs
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ssLsLsLs ssLsLsLs ssLs
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sLsLsLss sLsLsLss sLss
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LsLsLsss LsLsLsss Lsss
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sLsLsssL sLsLsssL sssL
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LsLsssLs LsLsssLs ssLs
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sLsssLsL sLss sLsssLsL
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LsssLsLs Lsss LsssLsLs
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sssLsLsL sssL sssLsLsL
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ssLsLsLs ssLs ssLsLsLs
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sLsLsLss sLss sLsLsLss
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LsLsLsss Lsss LsLsLsss
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sLsLsssL sssL sLsLsssL
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LsLsssLs ssLs LsLsssLs
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sLss sLsssLsL sLsssLsL
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Lsss LsssLsLs LsssLsLs
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all modes, form 3:
sssL sssLLssL sssLLssL
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ssLs ssLLssLs ssLLssLs
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ssLsssLL ssLsssLL ssLs
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sLss sLLssLss sLLssLss
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sLsssLLs sLsssLLs sLss
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Lsss LLssLsss LLssLsss
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LsssLLss LsssLLss Lsss
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sssL LssLsssL LssLsssL
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sssLLssL sssLLssL sssL
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ssLLssLs ssLLssLs ssLs
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sLLssLss sLLssLss sLss
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LLssLsss LLssLsss Lsss
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LssLsssL LssLsssL sssL
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ssLsssLL ssLs ssLsssLL
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sLsssLLs sLss sLsssLLs
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LsssLLss Lsss LsssLLss
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sssLLssL sssL sssLLssL
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ssLLssLs ssLs ssLLssLs
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sLLssLss sLss sLLssLss
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LLssLsss Lsss LLssLsss
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LssLsssL sssL LssLsssL
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ssLs ssLsssLL ssLsssLL
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sLss sLsssLLs sLsssLLs
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Lsss LsssLLss LsssLLss
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See also