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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>2016-09-02 21:57:19 UTC</tt>.<br>
| | [[14L_10s|14L+10s]] |
| : The original revision id was <tt>590989428</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
| |
| [[14L 10s|14L+10s]] | |
| 24 tones (10+4+10) | | 24 tones (10+4+10) |
|
| |
|
| [[Dicot family#Decimal|Decimal/decimated]]; 2 forms; best at low L/s. At P, it is essentially a tempered version of 24edo. | | [[Dicot_family#Decimal|Decimal/decimated]]; 2 forms; best at low L/s. At P, it is essentially a tempered version of 24edo. |
|
| |
|
| [[Gallery of omnitetrachordal scales#perfect|P]] = 1.04824036 | | [[Gallery_of_omnitetrachordal_scales#perfect|P]] = 1.04824036 |
| [[Gallery of omnitetrachordal scales#Q|Q]] = 3.4325106644 (4/3 = 6L+3.5s) | | |
| | [[Gallery_of_omnitetrachordal_scales#Q|Q]] = 3.4325106644 (4/3 = 6L+3.5s) |
|
| |
|
| L = 50.00 to 85.71 cents (50.98 cents @ P, 70.95 cents @ Q) | | L = 50.00 to 85.71 cents (50.98 cents @ P, 70.95 cents @ Q) |
| | |
| s = 0.00 to 50.00 cents (48.63 cents @ P, 20.67 cents @ Q) | | s = 0.00 to 50.00 cents (48.63 cents @ P, 20.67 cents @ Q) |
|
| |
|
| 9/8 = 2L+2s (171.43 to 200.00 cents) | | 9/8 = 2L+2s (171.43 to 200.00 cents) |
| | |
| 4/3 = 6L+4s (500.00 to 514.29 cents) | | 4/3 = 6L+4s (500.00 to 514.29 cents) |
| | |
| MOS generator = 3L+2s (250.00 to 257.14 cents) | | MOS generator = 3L+2s (250.00 to 257.14 cents) |
|
| |
|
| notable EDOs: 38, 52, 62, 86 | | notable EDOs: 38, 52, 62, 86 |
|
| |
|
| {{ LLsLsLLsLsLsLLsLsLLsLsLs }} (MOS, not OTC)
| | <tt> LLsLsLLsLsLsLLsLsLLsLsLs </tt> (MOS, not OTC) |
| {{ | | || | || | || }}
| | |
| {{ LLLLssLLssLLLLssLLssLLss }} (OTC MODMOS, form 1) - gc 15; 9o ;; pc 2,2,2,2,2; 14o
| | <tt> | | || | || | || </tt> |
| | |
| | <tt> LLLLssLLssLLLLssLLssLLss </tt> (OTC MODMOS, form 1) - gc 15; 9o ;; pc 2,2,2,2,2; 14o |
| | |
| | <tt> LLsLsLLsLsLsLLsLsLLsLsLs </tt> (MOS, not OTC) |
| | |
| | <tt> |||| || || </tt> |
|
| |
|
| {{ LLsLsLLsLsLsLLsLsLLsLsLs }} (MOS, not OTC)
| | <tt> LLLsLsLsLsLsLsLLLsLsLsLs </tt> (OTC MODMOS, form 2) - gc 10,6; 8o ;; pc 2,2,2,2,2,2,2,2,2,2; 4o |
| {{ |||| || || }}
| |
| {{ LLLsLsLsLsLsLsLLLsLsLsLs }} (OTC MODMOS, form 2) - gc 10,6; 8o ;; pc 2,2,2,2,2,2,2,2,2,2; 4o
| |
|
| |
|
| {{ LLssLLssLLssLLLLssLLssLL }} (OTC MODMOS, form 1)
| | <tt> LLssLLssLLssLLLLssLLssLL </tt> (OTC MODMOS, form 1) |
| {{ || || || || || }}
| |
| {{ LLsLsLsLsLsLsLLLsLsLsLsL }} (OTC MODMOS, form 2)
| |
|
| |
|
| symmetric modes:
| | <tt> || || || || || </tt> |
| {{ sLLssLLLLssLLssLLLLssLLs }} (form 1)
| |
| {{ LssLLLLssLLssLLssLLLLssL }} (form 1)
| |
|
| |
|
| all modes, form 1:
| | <tt> LLsLsLsLsLsLsLLLsLsLsLsL </tt> (OTC MODMOS, form 2) |
| || {{ ssLL ssLLssLLLL ssLLssLLLL }} || || ||
| |
| || {{ sLLs sLLssLLLLs sLLssLLLLs }} || || ||
| |
| || {{ LLss LLssLLLLss LLssLLLLss }} || || {{ LLssLLssLL LLssLLssLL LLss }} ||
| |
| || {{ LssL LssLLLLssL LssLLLLssL }} || || {{ LssLLssLLL LssLLssLLL LssL }} ||
| |
| || {{ ssLL ssLLLLssLL ssLLLLssLL }} || || {{ ssLLssLLLL ssLLssLLLL ssLL }} ||
| |
| || {{ sLLs sLLLLssLLs sLLLLssLLs }} || || {{ sLLssLLLLs sLLssLLLLs sLLs }} ||
| |
| || {{ LLss LLLLssLLss LLLLssLLss }} || || {{ LLssLLLLss LLssLLLLss LLss }} ||
| |
| || {{ LssL LLLssLLssL LLLssLLssL }} || || {{ LssLLLLssL LssLLLLssL LssL }} ||
| |
| || {{ ssLL LLssLLssLL LLssLLssLL }} || || {{ ssLLLLssLL ssLLLLssLL ssLL }} ||
| |
| || || || {{ sLLLLssLLs sLLLLssLLs sLLs }} ||
| |
| || || || {{ LLLLssLLss LLLLssLLss LLss }} ||
| |
| || || || {{ LLLssLLssL LLLssLLssL LssL }} ||
| |
| || || {{ LLssLLssLL LLss LLssLLssLL }} || {{ LLssLLssLL LLssLLssLL ssLL }} ||
| |
| || || {{ LssLLssLLL LssL LssLLssLLL }} || ||
| |
| || || {{ ssLLssLLLL ssLL ssLLssLLLL }} || ||
| |
| || || {{ sLLssLLLLs sLLs sLLssLLLLs }} || ||
| |
| || || {{ LLssLLLLss LLss LLssLLLLss }} || ||
| |
| || || {{ LssLLLLssL LssL LssLLLLssL }} || ||
| |
| || || {{ ssLLLLssLL ssLL ssLLLLssLL }} || ||
| |
| || || {{ sLLLLssLLs sLLs sLLLLssLLs }} || ||
| |
| || || {{ LLLLssLLss LLss LLLLssLLss }} || ||
| |
| || || {{ LLLssLLssL LssL LLLssLLssL }} || ||
| |
| || {{ LLss LLssLLssLL LLssLLssLL }} || {{ LLssLLssLL ssLL LLssLLssLL }} || ||
| |
| || {{ LssL LssLLssLLL LssLLssLLL }} || || ||
| |
|
| |
|
| all modes, form 2:
| | symmetric modes: |
| || {{ sLsL sLsLsLsLLL sLsLsLsLLL }} || || ||
| |
| || {{ LsLs LsLsLsLLLs LsLsLsLLLs }} || || ||
| |
| || {{ sLsL sLsLsLLLsL sLsLsLLLsL }} || || ||
| |
| || {{ LsLs LsLsLLLsLs LsLsLLLsLs }} || || {{ LsLsLsLsLL LsLsLsLsLL LsLs }} ||
| |
| || {{ sLsL sLsLLLsLsL sLsLLLsLsL }} || || {{ sLsLsLsLLL sLsLsLsLLL sLsL }} ||
| |
| || {{ LsLs LsLLLsLsLs LsLLLsLsLs }} || || {{ LsLsLsLLLs LsLsLsLLLs LsLs }} ||
| |
| || {{ sLsL sLLLsLsLsL sLLLsLsLsL }} || || {{ sLsLsLLLsL sLsLsLLLsL sLsL }} ||
| |
| || {{ LsLs LLLsLsLsLs LLLsLsLsLs }} || || {{ LsLsLLLsLs LsLsLLLsLs LsLs }} ||
| |
| || {{ sLsL LLsLsLsLsL LLsLsLsLsL }} || || {{ sLsLLLsLsL sLsLLLsLsL sLsL }} ||
| |
| || || || {{ LsLLLsLsLs LsLLLsLsLs LsLs }} ||
| |
| || || || {{ sLLLsLsLsL sLLLsLsLsL sLsL }} ||
| |
| || || || {{ LLLsLsLsLs LLLsLsLsLs LsLs }} ||
| |
| || || || {{ LLsLsLsLsL LLsLsLsLsL sLsL }} ||
| |
| || || {{ LsLsLsLsLL LsLs LsLsLsLsLL }} || ||
| |
| || || {{ sLsLsLsLLL sLsL sLsLsLsLLL }} || ||
| |
| || || {{ LsLsLsLLLs LsLs LsLsLsLLLs }} || ||
| |
| || || {{ sLsLsLLLsL sLsL sLsLsLLLsL }} || ||
| |
| || || {{ LsLsLLLsLs LsLs LsLsLLLsLs }} || ||
| |
| || || {{ sLsLLLsLsL sLsL sLsLLLsLsL }} || ||
| |
| || || {{ LsLLLsLsLs LsLs LsLLLsLsLs }} || ||
| |
| || || {{ sLLLsLsLsL sLsL sLLLsLsLsL }} || ||
| |
| || || {{ LLLsLsLsLs LsLs LLLsLsLsLs }} || ||
| |
| || || {{ LLsLsLsLsL sLsL LLsLsLsLsL }} || ||
| |
| || {{ LsLs LsLsLsLsLL LsLsLsLsLL }} || || ||
| |
|
| |
|
| [[image:24_14_10_LssLLLLssL_LssL_LssLLLLssL.png]]
| | <tt> sLLssLLLLssLLssLLLLssLLs </tt> (form 1) |
|
| |
|
| ===See also===
| | <tt> LssLLLLssLLssLLssLLLLssL </tt> (form 1) |
| * [[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 14L 10s</title></head><body>Omnitetrachordal MODMOS scale<br />
| |
| <a class="wiki_link" href="/14L%2010s">14L+10s</a><br />
| |
| 24 tones (10+4+10)<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Dicot%20family#Decimal">Decimal/decimated</a>; 2 forms; best at low L/s. At P, it is essentially a tempered version of 24edo.<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 1.04824036<br />
| |
| <a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 3.4325106644 (4/3 = 6L+3.5s)<br />
| |
| <br />
| |
| L = 50.00 to 85.71 cents (50.98 cents @ P, 70.95 cents @ Q)<br />
| |
| s = 0.00 to 50.00 cents (48.63 cents @ P, 20.67 cents @ Q)<br />
| |
| <br />
| |
| 9/8 = 2L+2s (171.43 to 200.00 cents)<br />
| |
| 4/3 = 6L+4s (500.00 to 514.29 cents)<br />
| |
| MOS generator = 3L+2s (250.00 to 257.14 cents)<br />
| |
| <br />
| |
| notable EDOs: 38, 52, 62, 86<br />
| |
| <br />
| |
| <tt> LLsLsLLsLsLsLLsLsLLsLsLs </tt> (MOS, not OTC)<br />
| |
| <tt> | | || | || | || </tt><br />
| |
| <tt> LLLLssLLssLLLLssLLssLLss </tt> (OTC MODMOS, form 1) - gc 15; 9o ;; pc 2,2,2,2,2; 14o<br />
| |
| <br />
| |
| <tt> LLsLsLLsLsLsLLsLsLLsLsLs </tt> (MOS, not OTC)<br />
| |
| <tt> |||| || || </tt><br />
| |
| <tt> LLLsLsLsLsLsLsLLLsLsLsLs </tt> (OTC MODMOS, form 2) - gc 10,6; 8o ;; pc 2,2,2,2,2,2,2,2,2,2; 4o<br />
| |
| <br />
| |
| <tt> LLssLLssLLssLLLLssLLssLL </tt> (OTC MODMOS, form 1)<br />
| |
| <tt> || || || || || </tt><br />
| |
| <tt> LLsLsLsLsLsLsLLLsLsLsLsL </tt> (OTC MODMOS, form 2)<br />
| |
| <br />
| |
| symmetric modes:<br />
| |
| <tt> sLLssLLLLssLLssLLLLssLLs </tt> (form 1)<br />
| |
| <tt> LssLLLLssLLssLLssLLLLssL </tt> (form 1)<br />
| |
| <br />
| |
| all modes, form 1:<br />
| |
|
| |
|
| | all modes, form 1: |
|
| |
|
| <table class="wiki_table">
| | {| class="wikitable" |
| <tr>
| | |- |
| <td><tt> ssLL ssLLssLLLL ssLLssLLLL </tt><br />
| | | | <tt> ssLL ssLLssLLLL ssLLssLLLL </tt> |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | |- |
| <td><br />
| | | | <tt> sLLs sLLssLLLLs sLLssLLLLs </tt> |
| </td>
| | | | |
| </tr>
| | | | |
| <tr>
| | |- |
| <td><tt> sLLs sLLssLLLLs sLLssLLLLs </tt><br />
| | | | <tt> LLss LLssLLLLss LLssLLLLss </tt> |
| </td>
| | | | |
| <td><br />
| | | | <tt> LLssLLssLL LLssLLssLL LLss </tt> |
| </td>
| | |- |
| <td><br />
| | | | <tt> LssL LssLLLLssL LssLLLLssL </tt> |
| </td>
| | | | |
| </tr>
| | | | <tt> LssLLssLLL LssLLssLLL LssL </tt> |
| <tr>
| | |- |
| <td><tt> LLss LLssLLLLss LLssLLLLss </tt><br />
| | | | <tt> ssLL ssLLLLssLL ssLLLLssLL </tt> |
| </td>
| | | | |
| <td><br />
| | | | <tt> ssLLssLLLL ssLLssLLLL ssLL </tt> |
| </td>
| | |- |
| <td><tt> LLssLLssLL LLssLLssLL LLss </tt><br />
| | | | <tt> sLLs sLLLLssLLs sLLLLssLLs </tt> |
| </td>
| | | | |
| </tr>
| | | | <tt> sLLssLLLLs sLLssLLLLs sLLs </tt> |
| <tr>
| | |- |
| <td><tt> LssL LssLLLLssL LssLLLLssL </tt><br />
| | | | <tt> LLss LLLLssLLss LLLLssLLss </tt> |
| </td>
| | | | |
| <td><br />
| | | | <tt> LLssLLLLss LLssLLLLss LLss </tt> |
| </td>
| | |- |
| <td><tt> LssLLssLLL LssLLssLLL LssL </tt><br />
| | | | <tt> LssL LLLssLLssL LLLssLLssL </tt> |
| </td>
| | | | |
| </tr>
| | | | <tt> LssLLLLssL LssLLLLssL LssL </tt> |
| <tr>
| | |- |
| <td><tt> ssLL ssLLLLssLL ssLLLLssLL </tt><br />
| | | | <tt> ssLL LLssLLssLL LLssLLssLL </tt> |
| </td>
| | | | |
| <td><br />
| | | | <tt> ssLLLLssLL ssLLLLssLL ssLL </tt> |
| </td>
| | |- |
| <td><tt> ssLLssLLLL ssLLssLLLL ssLL </tt><br />
| | | | |
| </td>
| | | | |
| </tr>
| | | | <tt> sLLLLssLLs sLLLLssLLs sLLs </tt> |
| <tr>
| | |- |
| <td><tt> sLLs sLLLLssLLs sLLLLssLLs </tt><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | <tt> LLLLssLLss LLLLssLLss LLss </tt> |
| </td>
| | |- |
| <td><tt> sLLssLLLLs sLLssLLLLs sLLs </tt><br />
| | | | |
| </td>
| | | | |
| </tr>
| | | | <tt> LLLssLLssL LLLssLLssL LssL </tt> |
| <tr>
| | |- |
| <td><tt> LLss LLLLssLLss LLLLssLLss </tt><br />
| | | | |
| </td>
| | | | <tt> LLssLLssLL LLss LLssLLssLL </tt> |
| <td><br />
| | | | <tt> LLssLLssLL LLssLLssLL ssLL </tt> |
| </td>
| | |- |
| <td><tt> LLssLLLLss LLssLLLLss LLss </tt><br />
| | | | |
| </td>
| | | | <tt> LssLLssLLL LssL LssLLssLLL </tt> |
| </tr>
| | | | |
| <tr>
| | |- |
| <td><tt> LssL LLLssLLssL LLLssLLssL </tt><br />
| | | | |
| </td>
| | | | <tt> ssLLssLLLL ssLL ssLLssLLLL </tt> |
| <td><br />
| | | | |
| </td>
| | |- |
| <td><tt> LssLLLLssL LssLLLLssL LssL </tt><br />
| | | | |
| </td>
| | | | <tt> sLLssLLLLs sLLs sLLssLLLLs </tt> |
| </tr>
| | | | |
| <tr>
| | |- |
| <td><tt> ssLL LLssLLssLL LLssLLssLL </tt><br />
| | | | |
| </td>
| | | | <tt> LLssLLLLss LLss LLssLLLLss </tt> |
| <td><br />
| | | | |
| </td>
| | |- |
| <td><tt> ssLLLLssLL ssLLLLssLL ssLL </tt><br />
| | | | |
| </td>
| | | | <tt> LssLLLLssL LssL LssLLLLssL </tt> |
| </tr>
| | | | |
| <tr>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | <tt> ssLLLLssLL ssLL ssLLLLssLL </tt> |
| <td><br />
| | | | |
| </td>
| | |- |
| <td><tt> sLLLLssLLs sLLLLssLLs sLLs </tt><br />
| | | | |
| </td>
| | | | <tt> sLLLLssLLs sLLs sLLLLssLLs </tt> |
| </tr>
| | | | |
| <tr>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | <tt> LLLLssLLss LLss LLLLssLLss </tt> |
| <td><br />
| | | | |
| </td>
| | |- |
| <td><tt> LLLLssLLss LLLLssLLss LLss </tt><br />
| | | | |
| </td>
| | | | <tt> LLLssLLssL LssL LLLssLLssL </tt> |
| </tr>
| | | | |
| <tr>
| | |- |
| <td><br />
| | | | <tt> LLss LLssLLssLL LLssLLssLL </tt> |
| </td>
| | | | <tt> LLssLLssLL ssLL LLssLLssLL </tt> |
| <td><br />
| | | | |
| </td>
| | |- |
| <td><tt> LLLssLLssL LLLssLLssL LssL </tt><br />
| | | | <tt> LssL LssLLssLLL LssLLssLLL </tt> |
| </td>
| | | | |
| </tr>
| | | | |
| <tr>
| | |} |
| <td><br />
| |
| </td>
| |
| <td><tt> LLssLLssLL LLss LLssLLssLL </tt><br />
| |
| </td>
| |
| <td><tt> LLssLLssLL LLssLLssLL ssLL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LssLLssLLL LssL LssLLssLLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> ssLLssLLLL ssLL ssLLssLLLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLLssLLLLs sLLs sLLssLLLLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLssLLLLss LLss LLssLLLLss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LssLLLLssL LssL LssLLLLssL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> ssLLLLssLL ssLL ssLLLLssLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLLLLssLLs sLLs sLLLLssLLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLLLssLLss LLss LLLLssLLss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLLssLLssL LssL LLLssLLssL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> LLss LLssLLssLL LLssLLssLL </tt><br />
| |
| </td>
| |
| <td><tt> LLssLLssLL ssLL LLssLLssLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> LssL LssLLssLLL LssLLssLLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | all modes, form 2: |
| all modes, form 2:<br /> | |
|
| |
|
| | {| class="wikitable" |
| | |- |
| | | | <tt> sLsL sLsLsLsLLL sLsLsLsLLL </tt> |
| | | | |
| | | | |
| | |- |
| | | | <tt> LsLs LsLsLsLLLs LsLsLsLLLs </tt> |
| | | | |
| | | | |
| | |- |
| | | | <tt> sLsL sLsLsLLLsL sLsLsLLLsL </tt> |
| | | | |
| | | | |
| | |- |
| | | | <tt> LsLs LsLsLLLsLs LsLsLLLsLs </tt> |
| | | | |
| | | | <tt> LsLsLsLsLL LsLsLsLsLL LsLs </tt> |
| | |- |
| | | | <tt> sLsL sLsLLLsLsL sLsLLLsLsL </tt> |
| | | | |
| | | | <tt> sLsLsLsLLL sLsLsLsLLL sLsL </tt> |
| | |- |
| | | | <tt> LsLs LsLLLsLsLs LsLLLsLsLs </tt> |
| | | | |
| | | | <tt> LsLsLsLLLs LsLsLsLLLs LsLs </tt> |
| | |- |
| | | | <tt> sLsL sLLLsLsLsL sLLLsLsLsL </tt> |
| | | | |
| | | | <tt> sLsLsLLLsL sLsLsLLLsL sLsL </tt> |
| | |- |
| | | | <tt> LsLs LLLsLsLsLs LLLsLsLsLs </tt> |
| | | | |
| | | | <tt> LsLsLLLsLs LsLsLLLsLs LsLs </tt> |
| | |- |
| | | | <tt> sLsL LLsLsLsLsL LLsLsLsLsL </tt> |
| | | | |
| | | | <tt> sLsLLLsLsL sLsLLLsLsL sLsL </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> LsLLLsLsLs LsLLLsLsLs LsLs </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> sLLLsLsLsL sLLLsLsLsL sLsL </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> LLLsLsLsLs LLLsLsLsLs LsLs </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> LLsLsLsLsL LLsLsLsLsL sLsL </tt> |
| | |- |
| | | | |
| | | | <tt> LsLsLsLsLL LsLs LsLsLsLsLL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> sLsLsLsLLL sLsL sLsLsLsLLL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LsLsLsLLLs LsLs LsLsLsLLLs </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> sLsLsLLLsL sLsL sLsLsLLLsL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LsLsLLLsLs LsLs LsLsLLLsLs </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> sLsLLLsLsL sLsL sLsLLLsLsL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LsLLLsLsLs LsLs LsLLLsLsLs </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> sLLLsLsLsL sLsL sLLLsLsLsL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LLLsLsLsLs LsLs LLLsLsLsLs </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LLsLsLsLsL sLsL LLsLsLsLsL </tt> |
| | | | |
| | |- |
| | | | <tt> LsLs LsLsLsLsLL LsLsLsLsLL </tt> |
| | | | |
| | | | |
| | |} |
|
| |
|
| <table class="wiki_table">
| | [[File:24_14_10_LssLLLLssL_LssL_LssLLLLssL.png|alt=24_14_10_LssLLLLssL_LssL_LssLLLLssL.png|24_14_10_LssLLLLssL_LssL_LssLLLLssL.png]] |
| <tr>
| |
| <td><tt> sLsL sLsLsLsLLL sLsLsLsLLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> LsLs LsLsLsLLLs LsLsLsLLLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> sLsL sLsLsLLLsL sLsLsLLLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> LsLs LsLsLLLsLs LsLsLLLsLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLsLsLsLL LsLsLsLsLL LsLs </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> sLsL sLsLLLsLsL sLsLLLsLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLsLsLsLLL sLsLsLsLLL sLsL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> LsLs LsLLLsLsLs LsLLLsLsLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLsLsLLLs LsLsLsLLLs LsLs </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> sLsL sLLLsLsLsL sLLLsLsLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLsLsLLLsL sLsLsLLLsL sLsL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> LsLs LLLsLsLsLs LLLsLsLsLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLsLLLsLs LsLsLLLsLs LsLs </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> sLsL LLsLsLsLsL LLsLsLsLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLsLLLsLsL sLsLLLsLsL sLsL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLLLsLsLs LsLLLsLsLs LsLs </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLLLsLsLsL sLLLsLsLsL sLsL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLLsLsLsLs LLLsLsLsLs LsLs </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLsLsLsLsL LLsLsLsLsL sLsL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLsLsLsLL LsLs LsLsLsLsLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLsLsLsLLL sLsL sLsLsLsLLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLsLsLLLs LsLs LsLsLsLLLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLsLsLLLsL sLsL sLsLsLLLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLsLLLsLs LsLs LsLsLLLsLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLsLLLsLsL sLsL sLsLLLsLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLLLsLsLs LsLs LsLLLsLsLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLLLsLsLsL sLsL sLLLsLsLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLLsLsLsLs LsLs LLLsLsLsLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLsLsLsLsL sLsL LLsLsLsLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> LsLs LsLsLsLsLL LsLsLsLsLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | ===See also=== |
| <!-- ws:start:WikiTextLocalImageRule:396:&lt;img src=&quot;/file/view/24_14_10_LssLLLLssL_LssL_LssLLLLssL.png/590988890/24_14_10_LssLLLLssL_LssL_LssLLLLssL.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/24_14_10_LssLLLLssL_LssL_LssLLLLssL.png/590988890/24_14_10_LssLLLLssL_LssL_LssLLLLssL.png" alt="24_14_10_LssLLLLssL_LssL_LssLLLLssL.png" title="24_14_10_LssLLLLssL_LssL_LssLLLLssL.png" /><!-- ws:end:WikiTextLocalImageRule:396 --><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
14L+10s
24 tones (10+4+10)
Decimal/decimated; 2 forms; best at low L/s. At P, it is essentially a tempered version of 24edo.
P = 1.04824036
Q = 3.4325106644 (4/3 = 6L+3.5s)
L = 50.00 to 85.71 cents (50.98 cents @ P, 70.95 cents @ Q)
s = 0.00 to 50.00 cents (48.63 cents @ P, 20.67 cents @ Q)
9/8 = 2L+2s (171.43 to 200.00 cents)
4/3 = 6L+4s (500.00 to 514.29 cents)
MOS generator = 3L+2s (250.00 to 257.14 cents)
notable EDOs: 38, 52, 62, 86
LLsLsLLsLsLsLLsLsLLsLsLs (MOS, not OTC)
| | || | || | ||
LLLLssLLssLLLLssLLssLLss (OTC MODMOS, form 1) - gc 15; 9o ;; pc 2,2,2,2,2; 14o
LLsLsLLsLsLsLLsLsLLsLsLs (MOS, not OTC)
|||| || ||
LLLsLsLsLsLsLsLLLsLsLsLs (OTC MODMOS, form 2) - gc 10,6; 8o ;; pc 2,2,2,2,2,2,2,2,2,2; 4o
LLssLLssLLssLLLLssLLssLL (OTC MODMOS, form 1)
|| || || || ||
LLsLsLsLsLsLsLLLsLsLsLsL (OTC MODMOS, form 2)
symmetric modes:
sLLssLLLLssLLssLLLLssLLs (form 1)
LssLLLLssLLssLLssLLLLssL (form 1)
all modes, form 1:
ssLL ssLLssLLLL ssLLssLLLL
|
|
|
sLLs sLLssLLLLs sLLssLLLLs
|
|
|
LLss LLssLLLLss LLssLLLLss
|
|
LLssLLssLL LLssLLssLL LLss
|
LssL LssLLLLssL LssLLLLssL
|
|
LssLLssLLL LssLLssLLL LssL
|
ssLL ssLLLLssLL ssLLLLssLL
|
|
ssLLssLLLL ssLLssLLLL ssLL
|
sLLs sLLLLssLLs sLLLLssLLs
|
|
sLLssLLLLs sLLssLLLLs sLLs
|
LLss LLLLssLLss LLLLssLLss
|
|
LLssLLLLss LLssLLLLss LLss
|
LssL LLLssLLssL LLLssLLssL
|
|
LssLLLLssL LssLLLLssL LssL
|
ssLL LLssLLssLL LLssLLssLL
|
|
ssLLLLssLL ssLLLLssLL ssLL
|
|
|
sLLLLssLLs sLLLLssLLs sLLs
|
|
|
LLLLssLLss LLLLssLLss LLss
|
|
|
LLLssLLssL LLLssLLssL LssL
|
|
LLssLLssLL LLss LLssLLssLL
|
LLssLLssLL LLssLLssLL ssLL
|
|
LssLLssLLL LssL LssLLssLLL
|
|
|
ssLLssLLLL ssLL ssLLssLLLL
|
|
|
sLLssLLLLs sLLs sLLssLLLLs
|
|
|
LLssLLLLss LLss LLssLLLLss
|
|
|
LssLLLLssL LssL LssLLLLssL
|
|
|
ssLLLLssLL ssLL ssLLLLssLL
|
|
|
sLLLLssLLs sLLs sLLLLssLLs
|
|
|
LLLLssLLss LLss LLLLssLLss
|
|
|
LLLssLLssL LssL LLLssLLssL
|
|
LLss LLssLLssLL LLssLLssLL
|
LLssLLssLL ssLL LLssLLssLL
|
|
LssL LssLLssLLL LssLLssLLL
|
|
|
all modes, form 2:
sLsL sLsLsLsLLL sLsLsLsLLL
|
|
|
LsLs LsLsLsLLLs LsLsLsLLLs
|
|
|
sLsL sLsLsLLLsL sLsLsLLLsL
|
|
|
LsLs LsLsLLLsLs LsLsLLLsLs
|
|
LsLsLsLsLL LsLsLsLsLL LsLs
|
sLsL sLsLLLsLsL sLsLLLsLsL
|
|
sLsLsLsLLL sLsLsLsLLL sLsL
|
LsLs LsLLLsLsLs LsLLLsLsLs
|
|
LsLsLsLLLs LsLsLsLLLs LsLs
|
sLsL sLLLsLsLsL sLLLsLsLsL
|
|
sLsLsLLLsL sLsLsLLLsL sLsL
|
LsLs LLLsLsLsLs LLLsLsLsLs
|
|
LsLsLLLsLs LsLsLLLsLs LsLs
|
sLsL LLsLsLsLsL LLsLsLsLsL
|
|
sLsLLLsLsL sLsLLLsLsL sLsL
|
|
|
LsLLLsLsLs LsLLLsLsLs LsLs
|
|
|
sLLLsLsLsL sLLLsLsLsL sLsL
|
|
|
LLLsLsLsLs LLLsLsLsLs LsLs
|
|
|
LLsLsLsLsL LLsLsLsLsL sLsL
|
|
LsLsLsLsLL LsLs LsLsLsLsLL
|
|
|
sLsLsLsLLL sLsL sLsLsLsLLL
|
|
|
LsLsLsLLLs LsLs LsLsLsLLLs
|
|
|
sLsLsLLLsL sLsL sLsLsLLLsL
|
|
|
LsLsLLLsLs LsLs LsLsLLLsLs
|
|
|
sLsLLLsLsL sLsL sLsLLLsLsL
|
|
|
LsLLLsLsLs LsLs LsLLLsLsLs
|
|
|
sLLLsLsLsL sLsL sLLLsLsLsL
|
|
|
LLLsLsLsLs LsLs LLLsLsLsLs
|
|
|
LLsLsLsLsL sLsL LLsLsLsLsL
|
|
LsLs LsLsLsLsLL LsLsLsLsLL
|
|
|
See also