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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | Omnitetrachordal MOS 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>2016-09-04 15:20:53 UTC</tt>.<br>
| | [[17L_5s|17L+5s]] |
| : The original revision id was <tt>591038744</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 MOS scale
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| [[17L 5s|17L+5s]] | |
| 22 tones (9+4+9) | | 22 tones (9+4+9) |
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|
| [[superpyth]]; imperfect (P<0) | | [[Superpyth|superpyth]]; imperfect (P<0) |
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|
| [[Gallery of omnitetrachordal scales#perfect|P]] = -1.3513819449 | | [[Gallery_of_omnitetrachordal_scales#perfect|P]] = -1.3513819449 |
| [[Gallery of omnitetrachordal scales#Q|Q]] = 7.6353645871 (4/3 = 7L+2.5s) | | |
| | [[Gallery_of_omnitetrachordal_scales#Q|Q]] = 7.6353645871 (4/3 = 7L+2.5s) |
|
| |
|
| L = 54.55 to 70.59 cents (67.97 cents @ Q) | | L = 54.55 to 70.59 cents (67.97 cents @ Q) |
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| s = 0.00 to 54.55 cents (8.90 cents @ Q) | | s = 0.00 to 54.55 cents (8.90 cents @ Q) |
|
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|
| 9/8 = 3L+s (211.76 to 218.18 cents) | | 9/8 = 3L+s (211.76 to 218.18 cents) |
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| 4/3 = 7L+2s (490.91 to 494.12 cents) | | 4/3 = 7L+2s (490.91 to 494.12 cents) |
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| generator = 4/3 | | generator = 4/3 |
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| all modes: | | all modes: |
| || {{ sLLL sLLLsLLLL sLLLsLLLL }} || || ||
| |
| || {{ LLLs LLLsLLLLs LLLsLLLLs }} || || {{ LLLsLLLsL LLLsLLLsL LLLs }} ||
| |
| || {{ LLsL LLsLLLLsL LLsLLLLsL }} || || {{ LLsLLLsLL LLsLLLsLL LLsL }} ||
| |
| || {{ LsLL LsLLLLsLL LsLLLLsLL }} || || {{ LsLLLsLLL LsLLLsLLL LsLL }} ||
| |
| || {{ sLLL sLLLLsLLL sLLLLsLLL }} || || {{ sLLLsLLLL sLLLsLLLL sLLL }} ||
| |
| || {{ LLLs LLLLsLLLs LLLLsLLLs }} || || {{ LLLsLLLLs LLLsLLLLs LLLs }} ||
| |
| || {{ LLsL LLLsLLLsL LLLsLLLsL }} || || {{ LLsLLLLsL LLsLLLLsL LLsL }} ||
| |
| || {{ LsLL LLsLLLsLL LLsLLLsLL }} || || {{ LsLLLLsLL LsLLLLsLL LsLL }} ||
| |
| || {{ sLLL LsLLLsLLL LsLLLsLLL }} || || {{ sLLLLsLLL sLLLLsLLL sLLL }} ||
| |
| || || || {{ LLLLsLLLs LLLLsLLLs LLLs }} ||
| |
| || || {{ LLLsLLLsL LLLs LLLsLLLsL }} || {{ LLLsLLLsL LLLsLLLsL LLsL }} ||
| |
| || || {{ LLsLLLsLL LLsL LLsLLLsLL }} || {{ LLsLLLsLL LLsLLLsLL LsLL }} ||
| |
| || || {{ LsLLLsLLL LsLL LsLLLsLLL }} || {{ LsLLLsLLL LsLLLsLLL sLLL }} ||
| |
| || || {{ sLLLsLLLL sLLL sLLLsLLLL }} || ||
| |
| || || {{ LLLsLLLLs LLLs LLLsLLLLs }} || ||
| |
| || || {{ LLsLLLLsL LLsL LLsLLLLsL }} || ||
| |
| || || {{ LsLLLLsLL LsLL LsLLLLsLL }} || ||
| |
| || || {{ sLLLLsLLL sLLL sLLLLsLLL }} || ||
| |
| || || {{ LLLLsLLLs LLLs LLLLsLLLs }} || ||
| |
| || {{ LLLs LLLsLLLsL LLLsLLLsL }} || {{ LLLsLLLsL LLsL LLLsLLLsL }} || ||
| |
| || {{ LLsL LLsLLLsLL LLsLLLsLL }} || {{ LLsLLLsLL LsLL LLsLLLsLL }} || ||
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| || {{ LsLL LsLLLsLLL LsLLLsLLL }} || {{ LsLLLsLLL sLLL LsLLLsLLL }} || ||
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|
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|
| [[image:22_17_05_LLLLsLLLs LLLs LLLLsLLLs.png]] | | {| class="wikitable" |
| | |- |
| | | | <tt> sLLL sLLLsLLLL sLLLsLLLL </tt> |
| | | | |
| | | | |
| | |- |
| | | | <tt> LLLs LLLsLLLLs LLLsLLLLs </tt> |
| | | | |
| | | | <tt> LLLsLLLsL LLLsLLLsL LLLs </tt> |
| | |- |
| | | | <tt> LLsL LLsLLLLsL LLsLLLLsL </tt> |
| | | | |
| | | | <tt> LLsLLLsLL LLsLLLsLL LLsL </tt> |
| | |- |
| | | | <tt> LsLL LsLLLLsLL LsLLLLsLL </tt> |
| | | | |
| | | | <tt> LsLLLsLLL LsLLLsLLL LsLL </tt> |
| | |- |
| | | | <tt> sLLL sLLLLsLLL sLLLLsLLL </tt> |
| | | | |
| | | | <tt> sLLLsLLLL sLLLsLLLL sLLL </tt> |
| | |- |
| | | | <tt> LLLs LLLLsLLLs LLLLsLLLs </tt> |
| | | | |
| | | | <tt> LLLsLLLLs LLLsLLLLs LLLs </tt> |
| | |- |
| | | | <tt> LLsL LLLsLLLsL LLLsLLLsL </tt> |
| | | | |
| | | | <tt> LLsLLLLsL LLsLLLLsL LLsL </tt> |
| | |- |
| | | | <tt> LsLL LLsLLLsLL LLsLLLsLL </tt> |
| | | | |
| | | | <tt> LsLLLLsLL LsLLLLsLL LsLL </tt> |
| | |- |
| | | | <tt> sLLL LsLLLsLLL LsLLLsLLL </tt> |
| | | | |
| | | | <tt> sLLLLsLLL sLLLLsLLL sLLL </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> LLLLsLLLs LLLLsLLLs LLLs </tt> |
| | |- |
| | | | |
| | | | <tt> LLLsLLLsL LLLs LLLsLLLsL </tt> |
| | | | <tt> LLLsLLLsL LLLsLLLsL LLsL </tt> |
| | |- |
| | | | |
| | | | <tt> LLsLLLsLL LLsL LLsLLLsLL </tt> |
| | | | <tt> LLsLLLsLL LLsLLLsLL LsLL </tt> |
| | |- |
| | | | |
| | | | <tt> LsLLLsLLL LsLL LsLLLsLLL </tt> |
| | | | <tt> LsLLLsLLL LsLLLsLLL sLLL </tt> |
| | |- |
| | | | |
| | | | <tt> sLLLsLLLL sLLL sLLLsLLLL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LLLsLLLLs LLLs LLLsLLLLs </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LLsLLLLsL LLsL LLsLLLLsL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LsLLLLsLL LsLL LsLLLLsLL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> sLLLLsLLL sLLL sLLLLsLLL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LLLLsLLLs LLLs LLLLsLLLs </tt> |
| | | | |
| | |- |
| | | | <tt> LLLs LLLsLLLsL LLLsLLLsL </tt> |
| | | | <tt> LLLsLLLsL LLsL LLLsLLLsL </tt> |
| | | | |
| | |- |
| | | | <tt> LLsL LLsLLLsLL LLsLLLsLL </tt> |
| | | | <tt> LLsLLLsLL LsLL LLsLLLsLL </tt> |
| | | | |
| | |- |
| | | | <tt> LsLL LsLLLsLLL LsLLLsLLL </tt> |
| | | | <tt> LsLLLsLLL sLLL LsLLLsLLL </tt> |
| | | | |
| | |} |
| | |
| | [[File:22_17_05_LLLLsLLLs_LLLs_LLLLsLLLs.png|alt=22_17_05_LLLLsLLLs LLLs LLLLsLLLs.png|22_17_05_LLLLsLLLs LLLs LLLLsLLLs.png]] |
|
| |
|
| ===See also=== | | ===See also=== |
| * [[Omnitetrachordality]]
| | <ul><li>[[Omnitetrachordality|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales|Gallery of omnitetrachordal scales]]</li></ul> |
| * [[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 17L 5s</title></head><body>Omnitetrachordal MOS scale<br />
| |
| <a class="wiki_link" href="/17L%205s">17L+5s</a><br />
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| 22 tones (9+4+9)<br />
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| <br />
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| <a class="wiki_link" href="/superpyth">superpyth</a>; imperfect (P&lt;0)<br />
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| <br />
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| <a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = -1.3513819449<br />
| |
| <a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 7.6353645871 (4/3 = 7L+2.5s)<br />
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| <br />
| |
| L = 54.55 to 70.59 cents (67.97 cents @ Q)<br />
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| s = 0.00 to 54.55 cents (8.90 cents @ Q)<br />
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| <br />
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| 9/8 = 3L+s (211.76 to 218.18 cents)<br />
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| 4/3 = 7L+2s (490.91 to 494.12 cents)<br />
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| generator = 4/3<br />
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| <br />
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| notable EDOs: 39, 56, 61, 73, 83<br />
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| <br />
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| all modes:<br />
| |
| | |
| | |
| <table class="wiki_table">
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| <tr>
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| <td><tt> sLLL sLLLsLLLL sLLLsLLLL </tt><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| </tr>
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| <tr>
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| <td><tt> LLLs LLLsLLLLs LLLsLLLLs </tt><br />
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| </td>
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| <td><br />
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| </td>
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| <td><tt> LLLsLLLsL LLLsLLLsL LLLs </tt><br />
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| </td>
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| </tr>
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| <tr>
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| <td><tt> LLsL LLsLLLLsL LLsLLLLsL </tt><br />
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| </td>
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| <td><br />
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| </td>
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| <td><tt> LLsLLLsLL LLsLLLsLL LLsL </tt><br />
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| </td>
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| </tr>
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| <tr>
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| <td><tt> LsLL LsLLLLsLL LsLLLLsLL </tt><br />
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| </td>
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| <td><br />
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| </td>
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| <td><tt> LsLLLsLLL LsLLLsLLL LsLL </tt><br />
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| </td>
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| </tr>
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| <tr>
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| <td><tt> sLLL sLLLLsLLL sLLLLsLLL </tt><br />
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| </td>
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| <td><br />
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| </td>
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| <td><tt> sLLLsLLLL sLLLsLLLL sLLL </tt><br />
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| </td>
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| </tr>
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| <tr>
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| <td><tt> LLLs LLLLsLLLs LLLLsLLLs </tt><br />
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| </td>
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| <td><br />
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| </td>
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| <td><tt> LLLsLLLLs LLLsLLLLs LLLs </tt><br />
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| </td>
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| </tr>
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| <tr>
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| <td><tt> LLsL LLLsLLLsL LLLsLLLsL </tt><br />
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| </td>
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| <td><br />
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| </td>
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| <td><tt> LLsLLLLsL LLsLLLLsL LLsL </tt><br />
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| </td>
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| </tr>
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| <tr>
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| <td><tt> LsLL LLsLLLsLL LLsLLLsLL </tt><br />
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| </td>
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| <td><br />
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| </td>
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| <td><tt> LsLLLLsLL LsLLLLsLL LsLL </tt><br />
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| </td>
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| </tr>
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| <tr>
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| <td><tt> sLLL LsLLLsLLL LsLLLsLLL </tt><br />
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| </td>
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| <td><br />
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| </td>
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| <td><tt> sLLLLsLLL sLLLLsLLL sLLL </tt><br />
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| </td>
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| </tr>
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| <tr>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><tt> LLLLsLLLs LLLLsLLLs LLLs </tt><br />
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| </td>
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| </tr>
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| <tr>
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| <td><br />
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| </td>
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| <td><tt> LLLsLLLsL LLLs LLLsLLLsL </tt><br />
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| </td>
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| <td><tt> LLLsLLLsL LLLsLLLsL LLsL </tt><br />
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| </td>
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| </tr>
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| <tr>
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| <td><br />
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| </td>
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| <td><tt> LLsLLLsLL LLsL LLsLLLsLL </tt><br />
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| </td>
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| <td><tt> LLsLLLsLL LLsLLLsLL LsLL </tt><br />
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| </td>
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| </tr>
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| <tr>
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| <td><br />
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| </td>
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| <td><tt> LsLLLsLLL LsLL LsLLLsLLL </tt><br />
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| </td>
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| <td><tt> LsLLLsLLL LsLLLsLLL sLLL </tt><br />
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| </td>
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| </tr>
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| <tr>
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| <td><br />
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| </td>
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| <td><tt> sLLLsLLLL sLLL sLLLsLLLL </tt><br />
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| </td>
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| <td><br />
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| </td>
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| </tr>
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| <tr>
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| <td><br />
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| </td>
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| <td><tt> LLLsLLLLs LLLs LLLsLLLLs </tt><br />
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| </td>
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| <td><br />
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| </td>
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| </tr>
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| <tr>
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| <td><br />
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| </td>
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| <td><tt> LLsLLLLsL LLsL LLsLLLLsL </tt><br />
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| </td>
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| <td><br />
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| </td>
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| </tr>
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| <tr>
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| <td><br />
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| </td>
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| <td><tt> LsLLLLsLL LsLL LsLLLLsLL </tt><br />
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| </td>
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| <td><br />
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| </td>
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| </tr>
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| <tr>
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| <td><br />
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| </td>
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| <td><tt> sLLLLsLLL sLLL sLLLLsLLL </tt><br />
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| </td>
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| <td><br />
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| </td>
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| </tr>
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| <tr>
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| <td><br />
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| </td>
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| <td><tt> LLLLsLLLs LLLs LLLLsLLLs </tt><br />
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| </td>
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| <td><br />
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| </td>
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| </tr>
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| <tr>
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| <td><tt> LLLs LLLsLLLsL LLLsLLLsL </tt><br />
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| </td>
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| <td><tt> LLLsLLLsL LLsL LLLsLLLsL </tt><br />
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| </td>
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| <td><br />
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| </td>
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| </tr>
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| <tr>
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| <td><tt> LLsL LLsLLLsLL LLsLLLsLL </tt><br />
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| </td>
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| <td><tt> LLsLLLsLL LsLL LLsLLLsLL </tt><br />
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| </td>
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| <td><br />
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| </td>
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| </tr>
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| <tr>
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| <td><tt> LsLL LsLLLsLLL LsLLLsLLL </tt><br />
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| </td>
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| <td><tt> LsLLLsLLL sLLL LsLLLsLLL </tt><br />
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| </td>
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| <td><br />
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| </td>
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| </tr>
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| </table>
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| <br />
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| <!-- ws:start:WikiTextLocalImageRule:186:&lt;img src=&quot;/file/view/22_17_05_LLLLsLLLs%20LLLs%20LLLLsLLLs.png/591038520/22_17_05_LLLLsLLLs%20LLLs%20LLLLsLLLs.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/22_17_05_LLLLsLLLs%20LLLs%20LLLLsLLLs.png/591038520/22_17_05_LLLLsLLLs%20LLLs%20LLLLsLLLs.png" alt="22_17_05_LLLLsLLLs LLLs LLLLsLLLs.png" title="22_17_05_LLLLsLLLs LLLs LLLLsLLLs.png" /><!-- ws:end:WikiTextLocalImageRule:186 --><br />
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| <br />
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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>
| |
| <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 MOS scale
17L+5s
22 tones (9+4+9)
superpyth; imperfect (P<0)
P = -1.3513819449
Q = 7.6353645871 (4/3 = 7L+2.5s)
L = 54.55 to 70.59 cents (67.97 cents @ Q)
s = 0.00 to 54.55 cents (8.90 cents @ Q)
9/8 = 3L+s (211.76 to 218.18 cents)
4/3 = 7L+2s (490.91 to 494.12 cents)
generator = 4/3
notable EDOs: 39, 56, 61, 73, 83
all modes:
sLLL sLLLsLLLL sLLLsLLLL
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|
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LLLs LLLsLLLLs LLLsLLLLs
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LLLsLLLsL LLLsLLLsL LLLs
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LLsL LLsLLLLsL LLsLLLLsL
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LLsLLLsLL LLsLLLsLL LLsL
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LsLL LsLLLLsLL LsLLLLsLL
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LsLLLsLLL LsLLLsLLL LsLL
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sLLL sLLLLsLLL sLLLLsLLL
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sLLLsLLLL sLLLsLLLL sLLL
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LLLs LLLLsLLLs LLLLsLLLs
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LLLsLLLLs LLLsLLLLs LLLs
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LLsL LLLsLLLsL LLLsLLLsL
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LLsLLLLsL LLsLLLLsL LLsL
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LsLL LLsLLLsLL LLsLLLsLL
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LsLLLLsLL LsLLLLsLL LsLL
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sLLL LsLLLsLLL LsLLLsLLL
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sLLLLsLLL sLLLLsLLL sLLL
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LLLLsLLLs LLLLsLLLs LLLs
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LLLsLLLsL LLLs LLLsLLLsL
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LLLsLLLsL LLLsLLLsL LLsL
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LLsLLLsLL LLsL LLsLLLsLL
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LLsLLLsLL LLsLLLsLL LsLL
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LsLLLsLLL LsLL LsLLLsLLL
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LsLLLsLLL LsLLLsLLL sLLL
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sLLLsLLLL sLLL sLLLsLLLL
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LLLsLLLLs LLLs LLLsLLLLs
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LLsLLLLsL LLsL LLsLLLLsL
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LsLLLLsLL LsLL LsLLLLsLL
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sLLLLsLLL sLLL sLLLLsLLL
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LLLLsLLLs LLLs LLLLsLLLs
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LLLs LLLsLLLsL LLLsLLLsL
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LLLsLLLsL LLsL LLLsLLLsL
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LLsL LLsLLLsLL LLsLLLsLL
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LLsLLLsLL LsLL LLsLLLsLL
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LsLL LsLLLsLLL LsLLLsLLL
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LsLLLsLLL sLLL LsLLLsLLL
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See also