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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>2016-08-31 20:32:41 UTC</tt>.<br>
| | [[7L_8s|7L+8s]] |
| : The original revision id was <tt>590699878</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 8s|7L+8s]] | |
| 15 tones (6+3+6) | | 15 tones (6+3+6) |
|
| |
|
| [[Porcupine]], 2 forms | | [[Porcupine|Porcupine]], 2 forms |
| | |
| | [[Gallery_of_omnitetrachordal_scales#perfect|P]] = 3.3809207248 |
|
| |
|
| [[Gallery of omnitetrachordal scales#perfect|P]] = 3.3809207248 | | [[Gallery_of_omnitetrachordal_scales#Q|Q]] = 8.6586615703 (4/3 = 3L+2.5s) |
| [[Gallery of omnitetrachordal scales#Q|Q]] = 8.6586615703 (4/3 = 3L+2.5s)
| |
|
| |
|
| L = 80.00 to 171.43 cents (128.12 cents @ P, 151.44 cents @ Q) | | L = 80.00 to 171.43 cents (128.12 cents @ P, 151.44 cents @ Q) |
| | |
| s = 0.00 to 80.00 cents (37.89 cents @ P, 17.49 cents @ Q) | | s = 0.00 to 80.00 cents (37.89 cents @ P, 17.49 cents @ Q) |
|
| |
|
| 9/8 = L+2s (171.43 to 240.00 cents) | | 9/8 = L+2s (171.43 to 240.00 cents) |
| | |
| 4/3 = 3L+3s (480.00 to 514.29 cents) | | 4/3 = 3L+3s (480.00 to 514.29 cents) |
| | |
| MOS generator = L+s (160.0 to 171.4 cents) | | MOS generator = L+s (160.0 to 171.4 cents) |
|
| |
|
| notable EDOs: 22, 29, 36, 37, 43, 65 | | notable EDOs: 22, 29, 36, 37, 43, 65 |
|
| |
|
| | <tt> LsLsLsLsLsLsLss </tt> (MOS, not OTC) |
|
| |
|
| {{ LsLsLsLsLsLsLss }} (MOS, not OTC)
| | <tt> || || </tt> |
| {{ || || }}
| |
| {{ LsLLssLsLLssLss }} (OTC MODMOS, form 1)
| |
| | |
|
| |
|
| {{ LsLsLsLsLsLsLss }} (MOS, not OTC)
| | <tt> LsLLssLsLLssLss </tt> (OTC MODMOS, form 1) |
| {{ || || }}
| |
| {{ LssLLsLssLLsLss }} (OTC MODMOS, form 2)
| |
|
| |
|
| | <tt> LsLsLsLsLsLsLss </tt> (MOS, not OTC) |
|
| |
|
| {{ LsLLssLsLLssLss }} (OTC MODMOS, form 1) - gen chains 9,2,2 / 2 orphans
| | <tt> || || </tt> |
| {{ | | | | }}
| |
| {{ LssLLsLssLLsLss }} (OTC MODMOS, form 2) - gen chains 9,2,2 / 2 orphans
| |
|
| |
|
| | <tt> LssLLsLssLLsLss </tt> (OTC MODMOS, form 2) |
|
| |
|
| all modes, form 1:
| | <tt> LsLLssLsLLssLss </tt> (OTC MODMOS, form 1) - gen chains 9,2,2 / 2 orphans |
| || {{ Lss LsLLss LsLLss }} || || {{ LssLsL LssLsL Lss }} ||
| |
| || {{ ssL sLLssL sLLssL }} || || {{ ssLsLL ssLsLL ssL }} ||
| |
| || {{ sLs LLssLs LLssLs }} || || {{ sLsLLs sLsLLs sLs }} ||
| |
| || || || {{ LsLLss LsLLss Lss }} ||
| |
| || || || {{ sLLssL sLLssL ssL }} ||
| |
| || || || {{ LLssLs LLssLs sLs }} ||
| |
| || || {{ LssLsL Lss LssLsL }} || ||
| |
| || || {{ ssLsLL ssL ssLsLL }} || ||
| |
| || || {{ sLsLLs sLs sLsLLs }} || ||
| |
| || || {{ LsLLss Lss LsLLss }} || ||
| |
| || || {{ sLLssL ssL sLLssL }} || ||
| |
| || || {{ LLssLs sLs LLssLs }} || ||
| |
| || {{ Lss LssLsL LssLsL }} || || ||
| |
| || {{ ssL ssLsLL ssLsLL }} || || ||
| |
| || {{ sLs sLsLLs sLsLLs }} || || ||
| |
|
| |
|
| all modes, form 2:
| | <tt> | | | | </tt> |
| || {{ sLs sLLsLs sLLsLs }} || || {{ sLssLL sLssLL sLs }} ||
| |
| || {{ Lss LLsLss LLsLss }} || || {{ LssLLs LssLLs Lss }} ||
| |
| || {{ ssL LsLssL LsLssL }} || || {{ ssLLsL ssLLsL ssL }} ||
| |
| || || || {{ sLLsLs sLLsLs sLs }} ||
| |
| || || || {{ LLsLss LLsLss Lss }} ||
| |
| || || || {{ LsLssL LsLssL ssL }} ||
| |
| || || {{ sLssLL sLs sLssLL }} || ||
| |
| || || {{ LssLLs Lss LssLLs }} || ||
| |
| || || {{ ssLLsL ssL ssLLsL }} || ||
| |
| || || {{ sLLsLs sLs sLLsLs }} || ||
| |
| || || {{ LLsLss Lss LLsLss }} || ||
| |
| || || {{ LsLssL ssL LsLssL }} || ||
| |
| || {{ sLs sLssLL sLssLL }} || || ||
| |
| || {{ Lss LssLLs LssLLs }} || || ||
| |
| || {{ ssL ssLLsL ssLLsL }} || || ||
| |
|
| |
|
| [[image:15_07_08_ssLsLL_ssL_ssLsLL.png]]
| | <tt> LssLLsLssLLsLss </tt> (OTC MODMOS, form 2) - gen chains 9,2,2 / 2 orphans |
|
| |
|
| ===See also===
| | all modes, 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 7L 8s</title></head><body>Omnitetrachordal MODMOS scale<br />
| |
| <a class="wiki_link" href="/7L%208s">7L+8s</a><br />
| |
| 15 tones (6+3+6)<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Porcupine">Porcupine</a>, 2 forms<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 3.3809207248<br />
| |
| <a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 8.6586615703 (4/3 = 3L+2.5s)<br />
| |
| <br />
| |
| L = 80.00 to 171.43 cents (128.12 cents @ P, 151.44 cents @ Q)<br />
| |
| s = 0.00 to 80.00 cents (37.89 cents @ P, 17.49 cents @ Q)<br />
| |
| <br />
| |
| 9/8 = L+2s (171.43 to 240.00 cents)<br />
| |
| 4/3 = 3L+3s (480.00 to 514.29 cents)<br />
| |
| MOS generator = L+s (160.0 to 171.4 cents)<br />
| |
| <br />
| |
| notable EDOs: 22, 29, 36, 37, 43, 65<br />
| |
| <br />
| |
| <br />
| |
| <tt> LsLsLsLsLsLsLss </tt> (MOS, not OTC)<br />
| |
| <tt> || || </tt><br />
| |
| <tt> LsLLssLsLLssLss </tt> (OTC MODMOS, form 1)<br />
| |
| <br />
| |
| <br />
| |
| <tt> LsLsLsLsLsLsLss </tt> (MOS, not OTC)<br />
| |
| <tt> || || </tt><br />
| |
| <tt> LssLLsLssLLsLss </tt> (OTC MODMOS, form 2)<br />
| |
| <br />
| |
| <br />
| |
| <tt> LsLLssLsLLssLss </tt> (OTC MODMOS, form 1) - gen chains 9,2,2 / 2 orphans<br />
| |
| <tt> | | | | </tt><br />
| |
| <tt> LssLLsLssLLsLss </tt> (OTC MODMOS, form 2) - gen chains 9,2,2 / 2 orphans<br />
| |
| <br />
| |
| <br />
| |
| all modes, form 1:<br /> | |
|
| |
|
| | {| class="wikitable" |
| | |- |
| | | | <tt> Lss LsLLss LsLLss </tt> |
| | | | |
| | | | <tt> LssLsL LssLsL Lss </tt> |
| | |- |
| | | | <tt> ssL sLLssL sLLssL </tt> |
| | | | |
| | | | <tt> ssLsLL ssLsLL ssL </tt> |
| | |- |
| | | | <tt> sLs LLssLs LLssLs </tt> |
| | | | |
| | | | <tt> sLsLLs sLsLLs sLs </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> LsLLss LsLLss Lss </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> sLLssL sLLssL ssL </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> LLssLs LLssLs sLs </tt> |
| | |- |
| | | | |
| | | | <tt> LssLsL Lss LssLsL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> ssLsLL ssL ssLsLL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> sLsLLs sLs sLsLLs </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LsLLss Lss LsLLss </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> sLLssL ssL sLLssL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LLssLs sLs LLssLs </tt> |
| | | | |
| | |- |
| | | | <tt> Lss LssLsL LssLsL </tt> |
| | | | |
| | | | |
| | |- |
| | | | <tt> ssL ssLsLL ssLsLL </tt> |
| | | | |
| | | | |
| | |- |
| | | | <tt> sLs sLsLLs sLsLLs </tt> |
| | | | |
| | | | |
| | |} |
|
| |
|
| <table class="wiki_table">
| | all modes, form 2: |
| <tr>
| |
| <td><tt> Lss LsLLss LsLLss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LssLsL LssLsL Lss </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> ssL sLLssL sLLssL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> ssLsLL ssLsLL ssL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> sLs LLssLs LLssLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLsLLs sLsLLs sLs </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLLss LsLLss Lss </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLLssL sLLssL ssL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLssLs LLssLs sLs </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LssLsL Lss LssLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> ssLsLL ssL ssLsLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLsLLs sLs sLsLLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLLss Lss LsLLss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLLssL ssL sLLssL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLssLs sLs LLssLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> Lss LssLsL LssLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> ssL ssLsLL ssLsLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> sLs sLsLLs sLsLLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | {| class="wikitable" |
| all modes, form 2:<br />
| | |- |
| | | | <tt> sLs sLLsLs sLLsLs </tt> |
| | | | |
| | | | <tt> sLssLL sLssLL sLs </tt> |
| | |- |
| | | | <tt> Lss LLsLss LLsLss </tt> |
| | | | |
| | | | <tt> LssLLs LssLLs Lss </tt> |
| | |- |
| | | | <tt> ssL LsLssL LsLssL </tt> |
| | | | |
| | | | <tt> ssLLsL ssLLsL ssL </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> sLLsLs sLLsLs sLs </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> LLsLss LLsLss Lss </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> LsLssL LsLssL ssL </tt> |
| | |- |
| | | | |
| | | | <tt> sLssLL sLs sLssLL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LssLLs Lss LssLLs </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> ssLLsL ssL ssLLsL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> sLLsLs sLs sLLsLs </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LLsLss Lss LLsLss </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LsLssL ssL LsLssL </tt> |
| | | | |
| | |- |
| | | | <tt> sLs sLssLL sLssLL </tt> |
| | | | |
| | | | |
| | |- |
| | | | <tt> Lss LssLLs LssLLs </tt> |
| | | | |
| | | | |
| | |- |
| | | | <tt> ssL ssLLsL ssLLsL </tt> |
| | | | |
| | | | |
| | |} |
|
| |
|
| | [[File:15_07_08_ssLsLL_ssL_ssLsLL.png|alt=15_07_08_ssLsLL_ssL_ssLsLL.png|15_07_08_ssLsLL_ssL_ssLsLL.png]] |
|
| |
|
| <table class="wiki_table">
| | ===See also=== |
| <tr>
| | <ul><li>[[Omnitetrachordality|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales|Gallery of omnitetrachordal scales]]</li></ul> |
| <td><tt> sLs sLLsLs sLLsLs </tt><br />
| | [[Category:15-tone scales]] |
| </td>
| | [[Category:Tempered scales]] |
| <td><br />
| | [[Category:Pages with mostly numerical content]] |
| </td>
| | [[Category:MODMOS]] |
| <td><tt> sLssLL sLssLL sLs </tt><br />
| | [[Category:Omnitetrachordal]] |
| </td>
| | [[Category:Porcupine]] |
| </tr>
| |
| <tr>
| |
| <td><tt> Lss LLsLss LLsLss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LssLLs LssLLs Lss </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> ssL LsLssL LsLssL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> ssLLsL ssLLsL ssL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLLsLs sLLsLs sLs </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLsLss LLsLss Lss </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLssL LsLssL ssL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLssLL sLs sLssLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LssLLs Lss LssLLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> ssLLsL ssL ssLLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLLsLs sLs sLLsLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLsLss Lss LLsLss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLssL ssL LsLssL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> sLs sLssLL sLssLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> Lss LssLLs LssLLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| </td>
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| <td><tt> ssL ssLLsL ssLLsL </tt><br />
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| </td>
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| </td>
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| </tr>
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| </table>
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| <!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--See also"></a><!-- ws:end:WikiTextHeadingRule:0 -->See also</h3>
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| <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>
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Omnitetrachordal MODMOS scale
7L+8s
15 tones (6+3+6)
Porcupine, 2 forms
P = 3.3809207248
Q = 8.6586615703 (4/3 = 3L+2.5s)
L = 80.00 to 171.43 cents (128.12 cents @ P, 151.44 cents @ Q)
s = 0.00 to 80.00 cents (37.89 cents @ P, 17.49 cents @ Q)
9/8 = L+2s (171.43 to 240.00 cents)
4/3 = 3L+3s (480.00 to 514.29 cents)
MOS generator = L+s (160.0 to 171.4 cents)
notable EDOs: 22, 29, 36, 37, 43, 65
LsLsLsLsLsLsLss (MOS, not OTC)
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LsLLssLsLLssLss (OTC MODMOS, form 1)
LsLsLsLsLsLsLss (MOS, not OTC)
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LssLLsLssLLsLss (OTC MODMOS, form 2)
LsLLssLsLLssLss (OTC MODMOS, form 1) - gen chains 9,2,2 / 2 orphans
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LssLLsLssLLsLss (OTC MODMOS, form 2) - gen chains 9,2,2 / 2 orphans
all modes, form 1:
Lss LsLLss LsLLss
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LssLsL LssLsL Lss
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ssL sLLssL sLLssL
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ssLsLL ssLsLL ssL
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sLs LLssLs LLssLs
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sLsLLs sLsLLs sLs
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LsLLss LsLLss Lss
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sLLssL sLLssL ssL
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LLssLs LLssLs sLs
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LssLsL Lss LssLsL
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ssLsLL ssL ssLsLL
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sLsLLs sLs sLsLLs
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LsLLss Lss LsLLss
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sLLssL ssL sLLssL
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LLssLs sLs LLssLs
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Lss LssLsL LssLsL
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ssL ssLsLL ssLsLL
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sLs sLsLLs sLsLLs
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all modes, form 2:
sLs sLLsLs sLLsLs
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sLssLL sLssLL sLs
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Lss LLsLss LLsLss
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LssLLs LssLLs Lss
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ssL LsLssL LsLssL
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ssLLsL ssLLsL ssL
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sLLsLs sLLsLs sLs
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LLsLss LLsLss Lss
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LsLssL LsLssL ssL
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sLssLL sLs sLssLL
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LssLLs Lss LssLLs
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ssLLsL ssL ssLLsL
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sLLsLs sLs sLLsLs
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LLsLss Lss LLsLss
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LsLssL ssL LsLssL
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sLs sLssLL sLssLL
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Lss LssLLs LssLLs
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ssL ssLLsL ssLLsL
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See also