|
|
(6 intermediate revisions by 4 users not shown) |
Line 1: |
Line 1: |
| <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 20:35:11 UTC</tt>.<br>
| | [[12L_8s|12L+8s]] |
| : The original revision id was <tt>590810996</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
| |
| [[12L 8s|12L+8s]] | |
| 20 tones (8+4+8) | | 20 tones (8+4+8) |
|
| |
|
| [[Jubilismic clan#Diminished|diminished]]; 3 forms; best at high L/s | | [[Jubilismic_clan#Diminished|diminished]]; 3 forms; best at high L/s |
| | |
| | [[Gallery_of_omnitetrachordal_scales#perfect|P]] = 16.3836241662 |
|
| |
|
| [[Gallery of omnitetrachordal scales#perfect|P]] = 16.3836241662 | | [[Gallery_of_omnitetrachordal_scales#Q|Q]] = 41.9590604155 (4/3 = 5L+2.5s) |
| [[Gallery of omnitetrachordal scales#Q|Q]] = 41.9590604155 (4/3 = 5L+2.5s)
| |
|
| |
|
| L = 60.00 to 100.00 cents (96.09 cents @ P, 98.44 cents @ Q) | | L = 60.00 to 100.00 cents (96.09 cents @ P, 98.44 cents @ Q) |
| | |
| s = 0.00 to 60.00 cents (5.87 cents @ P, 2.35 cents @ Q) | | s = 0.00 to 60.00 cents (5.87 cents @ P, 2.35 cents @ Q) |
|
| |
|
| 9/8 = 2L+2s (200.00 to 240.00 cents) | | 9/8 = 2L+2s (200.00 to 240.00 cents) |
| | |
| 4/3 = 5L+3s (480.00 to 500.00 cents) | | 4/3 = 5L+3s (480.00 to 500.00 cents) |
| | |
| MOS generator = L+s (100.00 to 120.00 cents) | | MOS generator = L+s (100.00 to 120.00 cents) |
| | |
| MOS period = 1/4 octave (300.00 cents) | | MOS period = 1/4 octave (300.00 cents) |
|
| |
|
| notable EDOs: 32, 44, 56, 68, 80 | | notable EDOs: 32, 44, 56, 68, 80 |
|
| |
|
| {{ sLsLLsLsLLsLsLLsLsLL }} (MOS, not OTC)
| | <tt> sLsLLsLsLLsLsLLsLsLL </tt> (MOS, not OTC) |
| {{ |||| || | | }}
| | |
| {{ sLLssLLsLLLssLLsLLLs }} (OTC MODMOS, form 1) - gc 6,2,4,2; 6o
| | <tt> |||| || | | </tt> |
| | |
| | <tt> sLLssLLsLLLssLLsLLLs </tt> (OTC MODMOS, form 1) - gc 6,2,4,2; 6o |
| | |
| | <tt> sLsLLsLsLLsLsLLsLsLL </tt> (MOS, not OTC) |
| | |
| | <tt> || |||| | | </tt> |
| | |
| | <tt> ssLLLsLLssLLssLLLsLL </tt> (OTC MODMOS, form 2) - gc 6,2,4,2; 6o |
| | |
| | <tt> sLsLLsLsLLsLsLLsLsLL </tt> (MOS, not OTC) |
| | |
| | <tt> |||| || || </tt> |
|
| |
|
| {{ sLsLLsLsLLsLsLLsLsLL }} (MOS, not OTC)
| | <tt> sLsLsLsLLLsLsLsLLLsL </tt> (OTC MODMOS, form 3) - gc 6,6,4,4 |
| {{ || |||| | | }}
| |
| {{ ssLLLsLLssLLssLLLsLL }} (OTC MODMOS, form 2) - gc 6,2,4,2; 6o
| |
|
| |
|
| {{ sLsLLsLsLLsLsLLsLsLL }} (MOS, not OTC)
| | <tt> sLLssLLsLLLssLLsLLLs </tt> (form 1) |
| {{ |||| || || }}
| |
| {{ sLsLsLsLLLsLsLsLLLsL }} (OTC MODMOS, form 3) - gc 6,6,4,4
| |
|
| |
|
| {{ sLLssLLsLLLssLLsLLLs }} (form 1)
| | <tt> || || </tt> |
| {{ || || }}
| |
| {{ sLLssLLLsLLssLLLsLLs }} (form 2)
| |
| {{ || || || }}
| |
| {{ sLsLsLLLsLsLsLLLsLsL }} (form 3)
| |
| {{ || || || || || }}
| |
| {{ sLLssLLsLLLssLLsLLLs }} (form 1)
| |
|
| |
|
| all modes, form 1:
| | <tt> sLLssLLLsLLssLLLsLLs </tt> (form 2) |
| || {{ sLLs sLLsLLLs sLLsLLLs }} || || ||
| |
| || {{ LLss LLsLLLss LLsLLLss }} || || {{ LLssLLsL LLssLLsL LLss }} ||
| |
| || {{ LssL LsLLLssL LsLLLssL }} || || {{ LssLLsLL LssLLsLL LssL }} ||
| |
| || {{ ssLL sLLLssLL sLLLssLL }} || || {{ ssLLsLLL ssLLsLLL ssLL }} ||
| |
| || {{ sLLs LLLssLLs LLLssLLs }} || || {{ sLLsLLLs sLLsLLLs sLLs }} ||
| |
| || || || {{ LLsLLLss LLsLLLss LLss }} ||
| |
| || || || {{ LsLLLssL LsLLLssL LssL }} ||
| |
| || || || {{ sLLLssLL sLLLssLL ssLL }} ||
| |
| || || || {{ LLLssLLs LLLssLLs sLLs }} ||
| |
| || || {{ LLssLLsL LLss LLssLLsL }} || ||
| |
| || || {{ LssLLsLL LssL LssLLsLL }} || ||
| |
| || || {{ ssLLsLLL ssLL ssLLsLLL }} || ||
| |
| || || {{ sLLsLLLs sLLs sLLsLLLs }} || ||
| |
| || || {{ LLsLLLss LLss LLsLLLss }} || ||
| |
| || || {{ LsLLLssL LssL LsLLLssL }} || ||
| |
| || || {{ sLLLssLL ssLL sLLLssLL }} || ||
| |
| || || {{ LLLssLLs sLLs LLLssLLs }} || ||
| |
| || {{ LLss LLssLLsL LLssLLsL }} || || ||
| |
| || {{ LssL LssLLsLL LssLLsLL }} || || ||
| |
| || {{ ssLL ssLLsLLL ssLLsLLL }} || || ||
| |
|
| |
|
| all modes, form 2:
| | <tt> || || || </tt> |
| || {{ sLLs sLLLsLLs sLLLsLLs }} || || {{ sLLssLLL sLLssLLL sLLs }} ||
| |
| || {{ LLss LLLsLLss LLLsLLss }} || || {{ LLssLLLs LLssLLLs LLss }} ||
| |
| || {{ LssL LLsLLssL LLsLLssL }} || || {{ LssLLLsL LssLLLsL LssL }} ||
| |
| || {{ ssLL LsLLssLL LsLLssLL }} || || {{ ssLLLsLL ssLLLsLL ssLL }} ||
| |
| || || || {{ sLLLsLLs sLLLsLLs sLLs }} ||
| |
| || || || {{ LLLsLLss LLLsLLss LLss }} ||
| |
| || || || {{ LLsLLssL LLsLLssL LssL }} ||
| |
| || || || {{ LsLLssLL LsLLssLL ssLL }} ||
| |
| || || {{ sLLssLLL sLLs sLLssLLL }} || ||
| |
| || || {{ LLssLLLs LLss LLssLLLs }} || ||
| |
| || || {{ LssLLLsL LssL LssLLLsL }} || ||
| |
| || || {{ ssLLLsLL ssLL ssLLLsLL }} || ||
| |
| || || {{ sLLLsLLs sLLs sLLLsLLs }} || ||
| |
| || || {{ LLLsLLss LLss LLLsLLss }} || ||
| |
| || || {{ LLsLLssL LssL LLsLLssL }} || ||
| |
| || || {{ LsLLssLL ssLL LsLLssLL }} || ||
| |
| || {{ sLLs sLLssLLL sLLssLLL }} || || ||
| |
| || {{ LLss LLssLLLs LLssLLLs }} || || ||
| |
| || {{ LssL LssLLLsL LssLLLsL }} || || ||
| |
| || {{ ssLL ssLLLsLL ssLLLsLL }} || || ||
| |
|
| |
|
| all modes, form 3:
| | <tt> sLsLsLLLsLsLsLLLsLsL </tt> (form 3) |
| || {{ sLsL sLLLsLsL sLLLsLsL }} || || {{ sLsLsLLL sLsLsLLL sLsL }} ||
| |
| || {{ LsLs LLLsLsLs LLLsLsLs }} || || {{ LsLsLLLs LsLsLLLs LsLs }} ||
| |
| || {{ sLsL LLsLsLsL LLsLsLsL }} || || {{ sLsLLLsL sLsLLLsL sLsL }} ||
| |
| || || || {{ LsLLLsLs LsLLLsLs LsLs }} ||
| |
| || || || {{ sLLLsLsL sLLLsLsL sLsL }} ||
| |
| || || || {{ LLLsLsLs LLLsLsLs LsLs }} ||
| |
| || || || {{ LLsLsLsL LLsLsLsL sLsL }} ||
| |
| || || {{ LsLsLsLL LsLs LsLsLsLL }} || ||
| |
| || || {{ sLsLsLLL sLsL sLsLsLLL }} || ||
| |
| || || {{ LsLsLLLs LsLs LsLsLLLs }} || ||
| |
| || || {{ sLsLLLsL sLsL sLsLLLsL }} || ||
| |
| || || {{ LsLLLsLs LsLs LsLLLsLs }} || ||
| |
| || || {{ sLLLsLsL sLsL sLLLsLsL }} || ||
| |
| || || {{ LLLsLsLs LsLs LLLsLsLs }} || ||
| |
| || || {{ LLsLsLsL sLsL LLsLsLsL }} || ||
| |
| || {{ LsLs LsLsLsLL LsLsLsLL }} || || ||
| |
| || {{ sLsL sLsLsLLL sLsLsLLL }} || || ||
| |
| || {{ LsLs LsLsLLLs LsLsLLLs }} || || ||
| |
| || {{ sLsL sLsLLLsL sLsLLLsL }} || || ||
| |
| || {{ LsLs LsLLLsLs LsLLLsLs }} || || {{ LsLsLsLL LsLsLsLL LsLs }} ||
| |
|
| |
|
| ===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 12L 8s</title></head><body>Omnitetrachordal MODMOS scale<br />
| |
| <a class="wiki_link" href="/12L%208s">12L+8s</a><br />
| |
| 20 tones (8+4+8)<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Jubilismic%20clan#Diminished">diminished</a>; 3 forms; best at high L/s<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 16.3836241662<br />
| |
| <a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 41.9590604155 (4/3 = 5L+2.5s)<br />
| |
| <br />
| |
| L = 60.00 to 100.00 cents (96.09 cents @ P, 98.44 cents @ Q)<br />
| |
| s = 0.00 to 60.00 cents (5.87 cents @ P, 2.35 cents @ Q)<br />
| |
| <br />
| |
| 9/8 = 2L+2s (200.00 to 240.00 cents)<br />
| |
| 4/3 = 5L+3s (480.00 to 500.00 cents)<br />
| |
| MOS generator = L+s (100.00 to 120.00 cents)<br />
| |
| MOS period = 1/4 octave (300.00 cents)<br />
| |
| <br />
| |
| notable EDOs: 32, 44, 56, 68, 80<br />
| |
| <br />
| |
| <tt> sLsLLsLsLLsLsLLsLsLL </tt> (MOS, not OTC)<br />
| |
| <tt> |||| || | | </tt><br />
| |
| <tt> sLLssLLsLLLssLLsLLLs </tt> (OTC MODMOS, form 1) - gc 6,2,4,2; 6o<br />
| |
| <br />
| |
| <tt> sLsLLsLsLLsLsLLsLsLL </tt> (MOS, not OTC)<br />
| |
| <tt> || |||| | | </tt><br />
| |
| <tt> ssLLLsLLssLLssLLLsLL </tt> (OTC MODMOS, form 2) - gc 6,2,4,2; 6o<br />
| |
| <br />
| |
| <tt> sLsLLsLsLLsLsLLsLsLL </tt> (MOS, not OTC)<br />
| |
| <tt> |||| || || </tt><br />
| |
| <tt> sLsLsLsLLLsLsLsLLLsL </tt> (OTC MODMOS, form 3) - gc 6,6,4,4<br />
| |
| <br />
| |
| <tt> sLLssLLsLLLssLLsLLLs </tt> (form 1)<br />
| |
| <tt> || || </tt><br />
| |
| <tt> sLLssLLLsLLssLLLsLLs </tt> (form 2)<br />
| |
| <tt> || || || </tt><br />
| |
| <tt> sLsLsLLLsLsLsLLLsLsL </tt> (form 3)<br />
| |
| <tt> || || || || || </tt><br />
| |
| <tt> sLLssLLsLLLssLLsLLLs </tt> (form 1)<br />
| |
| <br />
| |
| all modes, form 1:<br />
| |
|
| |
|
| | <tt> sLLssLLsLLLssLLsLLLs </tt> (form 1) |
|
| |
|
| <table class="wiki_table">
| | all modes, form 1: |
| <tr>
| |
| <td><tt> sLLs sLLsLLLs sLLsLLLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> LLss LLsLLLss LLsLLLss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLssLLsL LLssLLsL LLss </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> LssL LsLLLssL LsLLLssL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LssLLsLL LssLLsLL LssL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> ssLL sLLLssLL sLLLssLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> ssLLsLLL ssLLsLLL ssLL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> sLLs LLLssLLs LLLssLLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLLsLLLs sLLsLLLs sLLs </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLsLLLss LLsLLLss LLss </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLLLssL LsLLLssL LssL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLLLssLL sLLLssLL ssLL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLLssLLs LLLssLLs sLLs </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLssLLsL LLss LLssLLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LssLLsLL LssL LssLLsLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> ssLLsLLL ssLL ssLLsLLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLLsLLLs sLLs sLLsLLLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLsLLLss LLss LLsLLLss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLLLssL LssL LsLLLssL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLLLssLL ssLL sLLLssLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLLssLLs sLLs LLLssLLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> LLss LLssLLsL LLssLLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> LssL LssLLsLL LssLLsLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> ssLL ssLLsLLL ssLLsLLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | {| class="wikitable" |
| all modes, form 2:<br />
| | |- |
| | | | <tt> sLLs sLLsLLLs sLLsLLLs </tt> |
| | | | |
| | | | |
| | |- |
| | | | <tt> LLss LLsLLLss LLsLLLss </tt> |
| | | | |
| | | | <tt> LLssLLsL LLssLLsL LLss </tt> |
| | |- |
| | | | <tt> LssL LsLLLssL LsLLLssL </tt> |
| | | | |
| | | | <tt> LssLLsLL LssLLsLL LssL </tt> |
| | |- |
| | | | <tt> ssLL sLLLssLL sLLLssLL </tt> |
| | | | |
| | | | <tt> ssLLsLLL ssLLsLLL ssLL </tt> |
| | |- |
| | | | <tt> sLLs LLLssLLs LLLssLLs </tt> |
| | | | |
| | | | <tt> sLLsLLLs sLLsLLLs sLLs </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> LLsLLLss LLsLLLss LLss </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> LsLLLssL LsLLLssL LssL </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> sLLLssLL sLLLssLL ssLL </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> LLLssLLs LLLssLLs sLLs </tt> |
| | |- |
| | | | |
| | | | <tt> LLssLLsL LLss LLssLLsL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LssLLsLL LssL LssLLsLL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> ssLLsLLL ssLL ssLLsLLL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> sLLsLLLs sLLs sLLsLLLs </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LLsLLLss LLss LLsLLLss </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LsLLLssL LssL LsLLLssL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> sLLLssLL ssLL sLLLssLL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LLLssLLs sLLs LLLssLLs </tt> |
| | | | |
| | |- |
| | | | <tt> LLss LLssLLsL LLssLLsL </tt> |
| | | | |
| | | | |
| | |- |
| | | | <tt> LssL LssLLsLL LssLLsLL </tt> |
| | | | |
| | | | |
| | |- |
| | | | <tt> ssLL ssLLsLLL ssLLsLLL </tt> |
| | | | |
| | | | |
| | |} |
|
| |
|
| | all modes, form 2: |
|
| |
|
| <table class="wiki_table">
| | {| class="wikitable" |
| <tr>
| | |- |
| <td><tt> sLLs sLLLsLLs sLLLsLLs </tt><br />
| | | | <tt> sLLs sLLLsLLs sLLLsLLs </tt> |
| </td>
| | | | |
| <td><br />
| | | | <tt> sLLssLLL sLLssLLL sLLs </tt> |
| </td>
| | |- |
| <td><tt> sLLssLLL sLLssLLL sLLs </tt><br />
| | | | <tt> LLss LLLsLLss LLLsLLss </tt> |
| </td>
| | | | |
| </tr>
| | | | <tt> LLssLLLs LLssLLLs LLss </tt> |
| <tr>
| | |- |
| <td><tt> LLss LLLsLLss LLLsLLss </tt><br />
| | | | <tt> LssL LLsLLssL LLsLLssL </tt> |
| </td>
| | | | |
| <td><br />
| | | | <tt> LssLLLsL LssLLLsL LssL </tt> |
| </td>
| | |- |
| <td><tt> LLssLLLs LLssLLLs LLss </tt><br />
| | | | <tt> ssLL LsLLssLL LsLLssLL </tt> |
| </td>
| | | | |
| </tr>
| | | | <tt> ssLLLsLL ssLLLsLL ssLL </tt> |
| <tr>
| | |- |
| <td><tt> LssL LLsLLssL LLsLLssL </tt><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | <tt> sLLLsLLs sLLLsLLs sLLs </tt> |
| </td>
| | |- |
| <td><tt> LssLLLsL LssLLLsL LssL </tt><br />
| | | | |
| </td>
| | | | |
| </tr>
| | | | <tt> LLLsLLss LLLsLLss LLss </tt> |
| <tr>
| | |- |
| <td><tt> ssLL LsLLssLL LsLLssLL </tt><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | <tt> LLsLLssL LLsLLssL LssL </tt> |
| </td>
| | |- |
| <td><tt> ssLLLsLL ssLLLsLL ssLL </tt><br />
| | | | |
| </td>
| | | | |
| </tr>
| | | | <tt> LsLLssLL LsLLssLL ssLL </tt> |
| <tr>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | <tt> sLLssLLL sLLs sLLssLLL </tt> |
| <td><br />
| | | | |
| </td>
| | |- |
| <td><tt> sLLLsLLs sLLLsLLs sLLs </tt><br />
| | | | |
| </td>
| | | | <tt> LLssLLLs LLss LLssLLLs </tt> |
| </tr>
| | | | |
| <tr>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | <tt> LssLLLsL LssL LssLLLsL </tt> |
| <td><br />
| | | | |
| </td>
| | |- |
| <td><tt> LLLsLLss LLLsLLss LLss </tt><br />
| | | | |
| </td>
| | | | <tt> ssLLLsLL ssLL ssLLLsLL </tt> |
| </tr>
| | | | |
| <tr>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | <tt> sLLLsLLs sLLs sLLLsLLs </tt> |
| <td><br />
| | | | |
| </td>
| | |- |
| <td><tt> LLsLLssL LLsLLssL LssL </tt><br />
| | | | |
| </td>
| | | | <tt> LLLsLLss LLss LLLsLLss </tt> |
| </tr>
| | | | |
| <tr>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | <tt> LLsLLssL LssL LLsLLssL </tt> |
| <td><br />
| | | | |
| </td>
| | |- |
| <td><tt> LsLLssLL LsLLssLL ssLL </tt><br />
| | | | |
| </td>
| | | | <tt> LsLLssLL ssLL LsLLssLL </tt> |
| </tr>
| | | | |
| <tr>
| | |- |
| <td><br />
| | | | <tt> sLLs sLLssLLL sLLssLLL </tt> |
| </td>
| | | | |
| <td><tt> sLLssLLL sLLs sLLssLLL </tt><br />
| | | | |
| </td>
| | |- |
| <td><br />
| | | | <tt> LLss LLssLLLs LLssLLLs </tt> |
| </td>
| | | | |
| </tr>
| | | | |
| <tr>
| | |- |
| <td><br />
| | | | <tt> LssL LssLLLsL LssLLLsL </tt> |
| </td>
| | | | |
| <td><tt> LLssLLLs LLss LLssLLLs </tt><br />
| | | | |
| </td>
| | |- |
| <td><br />
| | | | <tt> ssLL ssLLLsLL ssLLLsLL </tt> |
| </td>
| | | | |
| </tr>
| | | | |
| <tr>
| | |} |
| <td><br />
| |
| </td>
| |
| <td><tt> LssLLLsL LssL LssLLLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> ssLLLsLL ssLL ssLLLsLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLLLsLLs sLLs sLLLsLLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLLsLLss LLss LLLsLLss </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLsLLssL LssL LLsLLssL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLLssLL ssLL LsLLssLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> sLLs sLLssLLL sLLssLLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> LLss LLssLLLs LLssLLLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> LssL LssLLLsL LssLLLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> ssLL ssLLLsLL ssLLLsLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | all modes, form 3: |
| all modes, form 3:<br /> | |
|
| |
|
| | {| class="wikitable" |
| | |- |
| | | | <tt> sLsL sLLLsLsL sLLLsLsL </tt> |
| | | | |
| | | | <tt> sLsLsLLL sLsLsLLL sLsL </tt> |
| | |- |
| | | | <tt> LsLs LLLsLsLs LLLsLsLs </tt> |
| | | | |
| | | | <tt> LsLsLLLs LsLsLLLs LsLs </tt> |
| | |- |
| | | | <tt> sLsL LLsLsLsL LLsLsLsL </tt> |
| | | | |
| | | | <tt> sLsLLLsL sLsLLLsL sLsL </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> LsLLLsLs LsLLLsLs LsLs </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> sLLLsLsL sLLLsLsL sLsL </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> LLLsLsLs LLLsLsLs LsLs </tt> |
| | |- |
| | | | |
| | | | |
| | | | <tt> LLsLsLsL LLsLsLsL sLsL </tt> |
| | |- |
| | | | |
| | | | <tt> LsLsLsLL LsLs LsLsLsLL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> sLsLsLLL sLsL sLsLsLLL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LsLsLLLs LsLs LsLsLLLs </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> sLsLLLsL sLsL sLsLLLsL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LsLLLsLs LsLs LsLLLsLs </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> sLLLsLsL sLsL sLLLsLsL </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LLLsLsLs LsLs LLLsLsLs </tt> |
| | | | |
| | |- |
| | | | |
| | | | <tt> LLsLsLsL sLsL LLsLsLsL </tt> |
| | | | |
| | |- |
| | | | <tt> LsLs LsLsLsLL LsLsLsLL </tt> |
| | | | |
| | | | |
| | |- |
| | | | <tt> sLsL sLsLsLLL sLsLsLLL </tt> |
| | | | |
| | | | |
| | |- |
| | | | <tt> LsLs LsLsLLLs LsLsLLLs </tt> |
| | | | |
| | | | |
| | |- |
| | | | <tt> sLsL sLsLLLsL sLsLLLsL </tt> |
| | | | |
| | | | |
| | |- |
| | | | <tt> LsLs LsLLLsLs LsLLLsLs </tt> |
| | | | |
| | | | <tt> LsLsLsLL LsLsLsLL LsLs </tt> |
| | |} |
|
| |
|
| <table class="wiki_table">
| | [[File:20_12_08_LLssLLsL_LLss_LLssLLsL.png|alt=20_12_08_LLssLLsL_LLss_LLssLLsL.png|20_12_08_LLssLLsL_LLss_LLssLLsL.png]] |
| <tr>
| |
| <td><tt> sLsL sLLLsLsL sLLLsLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLsLsLLL sLsLsLLL sLsL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> LsLs LLLsLsLs LLLsLsLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLsLLLs LsLsLLLs LsLs </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> sLsL LLsLsLsL LLsLsLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLsLLLsL sLsLLLsL sLsL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLLLsLs LsLLLsLs LsLs </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLLLsLsL sLLLsLsL sLsL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLLsLsLs LLLsLsLs LsLs </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLsLsLsL LLsLsLsL sLsL </tt><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLsLsLL LsLs LsLsLsLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLsLsLLL sLsL sLsLsLLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLsLLLs LsLs LsLsLLLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLsLLLsL sLsL sLsLLLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLLLsLs LsLs LsLLLsLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> sLLLsLsL sLsL sLLLsLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLLsLsLs LsLs LLLsLsLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LLsLsLsL sLsL LLsLsLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> LsLs LsLsLsLL LsLsLsLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> sLsL sLsLsLLL sLsLsLLL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> LsLs LsLsLLLs LsLsLLLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> sLsL sLsLLLsL sLsLLLsL </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><tt> LsLs LsLLLsLs LsLLLsLs </tt><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><tt> LsLsLsLL LsLsLsLL LsLs </tt><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | ===See also=== |
| <!-- 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>[[Omnitetrachordality|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales|Gallery of omnitetrachordal scales]]</li></ul> |
| <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>
| | [[Category:20-tone scales]] |
| | [[Category:Tempered scales]] |
| | [[Category:Pages with mostly numerical content]] |
| | [[Category:MODMOS]] |
| | [[Category:Omnitetrachordal]] |
| | [[Category:Diminished]] |
Omnitetrachordal MODMOS scale
12L+8s
20 tones (8+4+8)
diminished; 3 forms; best at high L/s
P = 16.3836241662
Q = 41.9590604155 (4/3 = 5L+2.5s)
L = 60.00 to 100.00 cents (96.09 cents @ P, 98.44 cents @ Q)
s = 0.00 to 60.00 cents (5.87 cents @ P, 2.35 cents @ Q)
9/8 = 2L+2s (200.00 to 240.00 cents)
4/3 = 5L+3s (480.00 to 500.00 cents)
MOS generator = L+s (100.00 to 120.00 cents)
MOS period = 1/4 octave (300.00 cents)
notable EDOs: 32, 44, 56, 68, 80
sLsLLsLsLLsLsLLsLsLL (MOS, not OTC)
|||| || | |
sLLssLLsLLLssLLsLLLs (OTC MODMOS, form 1) - gc 6,2,4,2; 6o
sLsLLsLsLLsLsLLsLsLL (MOS, not OTC)
|| |||| | |
ssLLLsLLssLLssLLLsLL (OTC MODMOS, form 2) - gc 6,2,4,2; 6o
sLsLLsLsLLsLsLLsLsLL (MOS, not OTC)
|||| || ||
sLsLsLsLLLsLsLsLLLsL (OTC MODMOS, form 3) - gc 6,6,4,4
sLLssLLsLLLssLLsLLLs (form 1)
|| ||
sLLssLLLsLLssLLLsLLs (form 2)
|| || ||
sLsLsLLLsLsLsLLLsLsL (form 3)
|| || || || ||
sLLssLLsLLLssLLsLLLs (form 1)
all modes, form 1:
sLLs sLLsLLLs sLLsLLLs
|
|
|
LLss LLsLLLss LLsLLLss
|
|
LLssLLsL LLssLLsL LLss
|
LssL LsLLLssL LsLLLssL
|
|
LssLLsLL LssLLsLL LssL
|
ssLL sLLLssLL sLLLssLL
|
|
ssLLsLLL ssLLsLLL ssLL
|
sLLs LLLssLLs LLLssLLs
|
|
sLLsLLLs sLLsLLLs sLLs
|
|
|
LLsLLLss LLsLLLss LLss
|
|
|
LsLLLssL LsLLLssL LssL
|
|
|
sLLLssLL sLLLssLL ssLL
|
|
|
LLLssLLs LLLssLLs sLLs
|
|
LLssLLsL LLss LLssLLsL
|
|
|
LssLLsLL LssL LssLLsLL
|
|
|
ssLLsLLL ssLL ssLLsLLL
|
|
|
sLLsLLLs sLLs sLLsLLLs
|
|
|
LLsLLLss LLss LLsLLLss
|
|
|
LsLLLssL LssL LsLLLssL
|
|
|
sLLLssLL ssLL sLLLssLL
|
|
|
LLLssLLs sLLs LLLssLLs
|
|
LLss LLssLLsL LLssLLsL
|
|
|
LssL LssLLsLL LssLLsLL
|
|
|
ssLL ssLLsLLL ssLLsLLL
|
|
|
all modes, form 2:
sLLs sLLLsLLs sLLLsLLs
|
|
sLLssLLL sLLssLLL sLLs
|
LLss LLLsLLss LLLsLLss
|
|
LLssLLLs LLssLLLs LLss
|
LssL LLsLLssL LLsLLssL
|
|
LssLLLsL LssLLLsL LssL
|
ssLL LsLLssLL LsLLssLL
|
|
ssLLLsLL ssLLLsLL ssLL
|
|
|
sLLLsLLs sLLLsLLs sLLs
|
|
|
LLLsLLss LLLsLLss LLss
|
|
|
LLsLLssL LLsLLssL LssL
|
|
|
LsLLssLL LsLLssLL ssLL
|
|
sLLssLLL sLLs sLLssLLL
|
|
|
LLssLLLs LLss LLssLLLs
|
|
|
LssLLLsL LssL LssLLLsL
|
|
|
ssLLLsLL ssLL ssLLLsLL
|
|
|
sLLLsLLs sLLs sLLLsLLs
|
|
|
LLLsLLss LLss LLLsLLss
|
|
|
LLsLLssL LssL LLsLLssL
|
|
|
LsLLssLL ssLL LsLLssLL
|
|
sLLs sLLssLLL sLLssLLL
|
|
|
LLss LLssLLLs LLssLLLs
|
|
|
LssL LssLLLsL LssLLLsL
|
|
|
ssLL ssLLLsLL ssLLLsLL
|
|
|
all modes, form 3:
sLsL sLLLsLsL sLLLsLsL
|
|
sLsLsLLL sLsLsLLL sLsL
|
LsLs LLLsLsLs LLLsLsLs
|
|
LsLsLLLs LsLsLLLs LsLs
|
sLsL LLsLsLsL LLsLsLsL
|
|
sLsLLLsL sLsLLLsL sLsL
|
|
|
LsLLLsLs LsLLLsLs LsLs
|
|
|
sLLLsLsL sLLLsLsL sLsL
|
|
|
LLLsLsLs LLLsLsLs LsLs
|
|
|
LLsLsLsL LLsLsLsL sLsL
|
|
LsLsLsLL LsLs LsLsLsLL
|
|
|
sLsLsLLL sLsL sLsLsLLL
|
|
|
LsLsLLLs LsLs LsLsLLLs
|
|
|
sLsLLLsL sLsL sLsLLLsL
|
|
|
LsLLLsLs LsLs LsLLLsLs
|
|
|
sLLLsLsL sLsL sLLLsLsL
|
|
|
LLLsLsLs LsLs LLLsLsLs
|
|
|
LLsLsLsL sLsL LLsLsLsL
|
|
LsLs LsLsLsLL LsLsLsLL
|
|
|
sLsL sLsLsLLL sLsLsLLL
|
|
|
LsLs LsLsLLLs LsLsLLLs
|
|
|
sLsL sLsLLLsL sLsLLLsL
|
|
|
LsLs LsLLLsLs LsLLLsLs
|
|
LsLsLsLL LsLsLsLL LsLs
|
See also