OTC 7L 16s
IMPORTED REVISION FROM WIKISPACES
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- The original revision id was 590989234.
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Original Wikitext content:
Omnitetrachordal MODMOS scale
[[7L 16s|7L+16s]]
23 tones (9+5+9)
[[Mavila Temperament Modal Harmony|mavila]]? contorted [[porcupine]]? [[Gravity family|gravity]]/[[Marvel temperaments#Marvo|marvo]]/zarvo?
3 forms; best at high L/s
[[Gallery of omnitetrachordal scales#Q|Q]]<span style="vertical-align: sub;">2</span> ``=`` 1.484100604 (4/3 = 3L+6.5s)
[[Gallery of omnitetrachordal scales#perfect|P]] = 6.7618414496
Q<span style="vertical-align: sub;">1</span> ``=`` 12.0395822951 (4/3 = 3L+5.5s)
L = 52.17 to 171.43 cents (67.49 cents @ Q<span style="vertical-align: sub;">2</span>, 128.12 cents @ P, 144.08 cents @ Q<span style="vertical-align: sub;">1</span>)
s = 0.00 to 52.17 cents (45.47 cents @ Q<span style="vertical-align: sub;">2</span>, 18.95 cents @ P, 11.97 cents @ Q<span style="vertical-align: sub;">1</span>)
9/8 = L+4s (171.43 to 260.87 cents)
4/3 = 3L+6s (469.57 to 514.29 cents)
MOS generator = 3L+7s (514.29 to 521.74 cents)
notable EDOs: 37, 44, 51, 58, 65, 72
{{ sssLssLssLsssLssLssLssL }} (MOS, not OTC)
{{ | | || | | }}
{{ ssLLssssLssssLssLLssssL }} (OTC MODMOS, form 1) - gc 5,5,2,4,3; 4o
{{ sssLssLssLsssLssLssLssL }} (MOS, not OTC)
{{ || || ||| | }}
{{ ssssLsLsLssssLsLsLssssL }} (OTC MODMOS, form 2) - gc 5,5,5,2,2; 4o
{{ sssLssLssLsssLssLssLssL }} (MOS, not OTC)
{{ || | | | | }}
{{ ssssLssssLLssLssssLLssL }} (OTC MODMOS, form 3) - gc 5,5,2,4,3; 4o
{{ ssssLssssLssLLssssLssLL }} (OTC MODMOS, form 1)
{{ || || }}
{{ ssssLssssLsLsLssssLsLsL }} (OTC MODMOS, form 2)
{{ || || }}
{{ ssssLssssLLssLssssLLssL }} (OTC MODMOS, form 3)
{{ ||| ||| }}
{{ ssssLssssLssLLssssLssLL }} (OTC MODMOS, form 1)
symmetric mode: {{ssLsLsLssssLssssLsLsLss}} (form 2)
all modes, form 1:
|| {{ ssssL ssssLssLL ssssLssLL }} || || ||
|| {{ sssLs sssLssLLs sssLssLLs }} || || ||
|| {{ ssLss ssLssLLss ssLssLLss }} || || ||
|| {{ sLsss sLssLLsss sLssLLsss }} || || ||
|| {{ Lssss LssLLssss LssLLssss }} || || {{ LssssLssL LssssLssL Lssss }} ||
|| {{ ssssL ssLLssssL ssLLssssL }} || || {{ ssssLssLL ssssLssLL ssssL }} ||
|| {{ sssLs sLLssssLs sLLssssLs }} || || {{ sssLssLLs sssLssLLs sssLs }} ||
|| {{ ssLss LLssssLss LLssssLss }} || || {{ ssLssLLss ssLssLLss ssLss }} ||
|| || || {{ sLssLLsss sLssLLsss sLsss }} ||
|| || || {{ LssLLssss LssLLssss Lssss }} ||
|| || || {{ ssLLssssL ssLLssssL ssssL }} ||
|| || || {{ sLLssssLs sLLssssLs sssLs }} ||
|| || || {{ LLssssLss LLssssLss ssLss }} ||
|| || {{ LssssLssL Lssss LssssLssL }} || ||
|| || {{ ssssLssLL ssssL ssssLssLL }} || ||
|| || {{ sssLssLLs sssLs sssLssLLs }} || ||
|| || {{ ssLssLLss ssLss ssLssLLss }} || ||
|| || {{ sLssLLsss sLsss sLssLLsss }} || ||
|| || {{ LssLLssss Lssss LssLLssss }} || ||
|| || {{ ssLLssssL ssssL ssLLssssL }} || ||
|| || {{ sLLssssLs sssLs sLLssssLs }} || ||
|| || {{ LLssssLss ssLss LLssssLss }} || ||
|| {{ Lssss LssssLssL LssssLssL }} || || ||
all modes, form 2:
|| {{ ssssL ssssLsLsL ssssLsLsL }} || || ||
|| {{ sssLs sssLsLsLs sssLsLsLs }} || || ||
|| {{ ssLss ssLsLsLss ssLsLsLss }} || || ||
|| {{ sLsss sLsLsLsss sLsLsLsss }} || || {{ sLssssLsL sLssssLsL sLsss }} ||
|| {{ Lssss LsLsLssss LsLsLssss }} || || {{ LssssLsLs LssssLsLs Lssss }} ||
|| {{ ssssL sLsLssssL sLsLssssL }} || || {{ ssssLsLsL ssssLsLsL ssssL }} ||
|| {{ sssLs LsLssssLs LsLssssLs }} || || {{ sssLsLsLs sssLsLsLs sssLs }} ||
|| || || {{ ssLsLsLss ssLsLsLss ssLss }} ||
|| || || {{ sLsLsLsss sLsLsLsss sLsss }} ||
|| || || {{ LsLsLssss LsLsLssss Lssss }} ||
|| || || {{ sLsLssssL sLsLssssL ssssL }} ||
|| || || {{ LsLssssLs LsLssssLs sssLs }} ||
|| || {{ sLssssLsL sLsss sLssssLsL }} || ||
|| || {{ LssssLsLs Lssss LssssLsLs }} || ||
|| || {{ ssssLsLsL ssssL ssssLsLsL }} || ||
|| || {{ sssLsLsLs sssLs sssLsLsLs }} || ||
|| || {{ ssLsLsLss ssLss ssLsLsLss }} || ||
|| || {{ sLsLsLsss sLsss sLsLsLsss }} || ||
|| || {{ LsLsLssss Lssss LsLsLssss }} || ||
|| || {{ sLsLssssL ssssL sLsLssssL }} || ||
|| || {{ LsLssssLs sssLs LsLssssLs }} || ||
|| {{ sLsss sLssssLsL sLssssLsL }} || || ||
|| {{ Lssss LssssLsLs LssssLsLs }} || || ||
all modes, form 3:
|| {{ ssssL ssssLLssL ssssLLssL }} || || ||
|| {{ sssLs sssLLssLs sssLLssLs }} || || ||
|| {{ ssLss ssLLssLss ssLLssLss }} || || {{ ssLssssLL ssLssssLL ssLss }} ||
|| {{ sLsss sLLssLsss sLLssLsss }} || || {{ sLssssLLs sLssssLLs sLsss }} ||
|| {{ Lssss LLssLssss LLssLssss }} || || {{ LssssLLss LssssLLss Lssss }} ||
|| {{ ssssL LssLssssL LssLssssL }} || || {{ ssssLLssL ssssLLssL ssssL }} ||
|| || || {{ sssLLssLs sssLLssLs sssLs }} ||
|| || || {{ ssLLssLss ssLLssLss ssLss }} ||
|| || || {{ sLLssLsss sLLssLsss sLsss }} ||
|| || || {{ LLssLssss LLssLssss Lssss }} ||
|| || || {{ LssLssssL LssLssssL ssssL }} ||
|| || {{ ssLssssLL ssLss ssLssssLL }} || ||
|| || {{ sLssssLLs sLsss sLssssLLs }} || ||
|| || {{ LssssLLss Lssss LssssLLss }} || ||
|| || {{ ssssLLssL ssssL ssssLLssL }} || ||
|| || {{ sssLLssLs sssLs sssLLssLs }} || ||
|| || {{ ssLLssLss ssLss ssLLssLss }} || ||
|| || {{ sLLssLsss sLsss sLLssLsss }} || ||
|| || {{ LLssLssss Lssss LLssLssss }} || ||
|| || {{ LssLssssL ssssL LssLssssL }} || ||
|| {{ ssLss ssLssssLL ssLssssLL }} || || ||
|| {{ sLsss sLssssLLs sLssssLLs }} || || ||
|| {{ Lssss LssssLLss LssssLLss }} || || ||
[[image:23_07_16_ssLssLLss_ssLss_ssLssLLss.png]]
===See also===
* [[Omnitetrachordality]]
* [[Gallery of omnitetrachordal scales]]Original HTML content:
<html><head><title>OTC 7L 16s</title></head><body>Omnitetrachordal MODMOS scale<br />
<a class="wiki_link" href="/7L%2016s">7L+16s</a><br />
23 tones (9+5+9)<br />
<br />
<a class="wiki_link" href="/Mavila%20Temperament%20Modal%20Harmony">mavila</a>? contorted <a class="wiki_link" href="/porcupine">porcupine</a>? <a class="wiki_link" href="/Gravity%20family">gravity</a>/<a class="wiki_link" href="/Marvel%20temperaments#Marvo">marvo</a>/zarvo?<br />
3 forms; best at high L/s<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a><span style="vertical-align: sub;">2</span> <!-- ws:start:WikiTextRawRule:00:``=`` -->=<!-- ws:end:WikiTextRawRule:00 --> 1.484100604 (4/3 = 3L+6.5s)<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 6.7618414496<br />
Q<span style="vertical-align: sub;">1</span> <!-- ws:start:WikiTextRawRule:01:``=`` -->=<!-- ws:end:WikiTextRawRule:01 --> 12.0395822951 (4/3 = 3L+5.5s)<br />
<br />
L = 52.17 to 171.43 cents (67.49 cents @ Q<span style="vertical-align: sub;">2</span>, 128.12 cents @ P, 144.08 cents @ Q<span style="vertical-align: sub;">1</span>)<br />
s = 0.00 to 52.17 cents (45.47 cents @ Q<span style="vertical-align: sub;">2</span>, 18.95 cents @ P, 11.97 cents @ Q<span style="vertical-align: sub;">1</span>)<br />
<br />
9/8 = L+4s (171.43 to 260.87 cents)<br />
4/3 = 3L+6s (469.57 to 514.29 cents)<br />
MOS generator = 3L+7s (514.29 to 521.74 cents)<br />
<br />
notable EDOs: 37, 44, 51, 58, 65, 72<br />
<br />
<tt> sssLssLssLsssLssLssLssL </tt> (MOS, not OTC)<br />
<tt> | | || | | </tt><br />
<tt> ssLLssssLssssLssLLssssL </tt> (OTC MODMOS, form 1) - gc 5,5,2,4,3; 4o<br />
<br />
<tt> sssLssLssLsssLssLssLssL </tt> (MOS, not OTC)<br />
<tt> || || ||| | </tt> <br />
<tt> ssssLsLsLssssLsLsLssssL </tt> (OTC MODMOS, form 2) - gc 5,5,5,2,2; 4o<br />
<br />
<tt> sssLssLssLsssLssLssLssL </tt> (MOS, not OTC)<br />
<tt> || | | | | </tt><br />
<tt> ssssLssssLLssLssssLLssL </tt> (OTC MODMOS, form 3) - gc 5,5,2,4,3; 4o<br />
<br />
<tt> ssssLssssLssLLssssLssLL </tt> (OTC MODMOS, form 1)<br />
<tt> || || </tt><br />
<tt> ssssLssssLsLsLssssLsLsL </tt> (OTC MODMOS, form 2)<br />
<tt> || || </tt> <br />
<tt> ssssLssssLLssLssssLLssL </tt> (OTC MODMOS, form 3)<br />
<tt> ||| ||| </tt><br />
<tt> ssssLssssLssLLssssLssLL </tt> (OTC MODMOS, form 1)<br />
<br />
symmetric mode: <tt>ssLsLsLssssLssssLsLsLss</tt> (form 2)<br />
<br />
all modes, form 1:<br />
<table class="wiki_table">
<tr>
<td><tt> ssssL ssssLssLL ssssLssLL </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> sssLs sssLssLLs sssLssLLs </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> ssLss ssLssLLss ssLssLLss </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> sLsss sLssLLsss sLssLLsss </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> Lssss LssLLssss LssLLssss </tt><br />
</td>
<td><br />
</td>
<td><tt> LssssLssL LssssLssL Lssss </tt><br />
</td>
</tr>
<tr>
<td><tt> ssssL ssLLssssL ssLLssssL </tt><br />
</td>
<td><br />
</td>
<td><tt> ssssLssLL ssssLssLL ssssL </tt><br />
</td>
</tr>
<tr>
<td><tt> sssLs sLLssssLs sLLssssLs </tt><br />
</td>
<td><br />
</td>
<td><tt> sssLssLLs sssLssLLs sssLs </tt><br />
</td>
</tr>
<tr>
<td><tt> ssLss LLssssLss LLssssLss </tt><br />
</td>
<td><br />
</td>
<td><tt> ssLssLLss ssLssLLss ssLss </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> sLssLLsss sLssLLsss sLsss </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> LssLLssss LssLLssss Lssss </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> ssLLssssL ssLLssssL ssssL </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> sLLssssLs sLLssssLs sssLs </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> LLssssLss LLssssLss ssLss </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LssssLssL Lssss LssssLssL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> ssssLssLL ssssL ssssLssLL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> sssLssLLs sssLs sssLssLLs </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> ssLssLLss ssLss ssLssLLss </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> sLssLLsss sLsss sLssLLsss </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LssLLssss Lssss LssLLssss </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> ssLLssssL ssssL ssLLssssL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> sLLssssLs sssLs sLLssssLs </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LLssssLss ssLss LLssssLss </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> Lssss LssssLssL LssssLssL </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
</table>
<br />
all modes, form 2:<br />
<table class="wiki_table">
<tr>
<td><tt> ssssL ssssLsLsL ssssLsLsL </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> sssLs sssLsLsLs sssLsLsLs </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> ssLss ssLsLsLss ssLsLsLss </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> sLsss sLsLsLsss sLsLsLsss </tt><br />
</td>
<td><br />
</td>
<td><tt> sLssssLsL sLssssLsL sLsss </tt><br />
</td>
</tr>
<tr>
<td><tt> Lssss LsLsLssss LsLsLssss </tt><br />
</td>
<td><br />
</td>
<td><tt> LssssLsLs LssssLsLs Lssss </tt><br />
</td>
</tr>
<tr>
<td><tt> ssssL sLsLssssL sLsLssssL </tt><br />
</td>
<td><br />
</td>
<td><tt> ssssLsLsL ssssLsLsL ssssL </tt><br />
</td>
</tr>
<tr>
<td><tt> sssLs LsLssssLs LsLssssLs </tt><br />
</td>
<td><br />
</td>
<td><tt> sssLsLsLs sssLsLsLs sssLs </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> ssLsLsLss ssLsLsLss ssLss </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> sLsLsLsss sLsLsLsss sLsss </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> LsLsLssss LsLsLssss Lssss </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> sLsLssssL sLsLssssL ssssL </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> LsLssssLs LsLssssLs sssLs </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> sLssssLsL sLsss sLssssLsL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LssssLsLs Lssss LssssLsLs </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> ssssLsLsL ssssL ssssLsLsL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> sssLsLsLs sssLs sssLsLsLs </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> ssLsLsLss ssLss ssLsLsLss </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> sLsLsLsss sLsss sLsLsLsss </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LsLsLssss Lssss LsLsLssss </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> sLsLssssL ssssL sLsLssssL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LsLssssLs sssLs LsLssssLs </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> sLsss sLssssLsL sLssssLsL </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> Lssss LssssLsLs LssssLsLs </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
</table>
<br />
all modes, form 3:<br />
<table class="wiki_table">
<tr>
<td><tt> ssssL ssssLLssL ssssLLssL </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> sssLs sssLLssLs sssLLssLs </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> ssLss ssLLssLss ssLLssLss </tt><br />
</td>
<td><br />
</td>
<td><tt> ssLssssLL ssLssssLL ssLss </tt><br />
</td>
</tr>
<tr>
<td><tt> sLsss sLLssLsss sLLssLsss </tt><br />
</td>
<td><br />
</td>
<td><tt> sLssssLLs sLssssLLs sLsss </tt><br />
</td>
</tr>
<tr>
<td><tt> Lssss LLssLssss LLssLssss </tt><br />
</td>
<td><br />
</td>
<td><tt> LssssLLss LssssLLss Lssss </tt><br />
</td>
</tr>
<tr>
<td><tt> ssssL LssLssssL LssLssssL </tt><br />
</td>
<td><br />
</td>
<td><tt> ssssLLssL ssssLLssL ssssL </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> sssLLssLs sssLLssLs sssLs </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> ssLLssLss ssLLssLss ssLss </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> sLLssLsss sLLssLsss sLsss </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> LLssLssss LLssLssss Lssss </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> LssLssssL LssLssssL ssssL </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> ssLssssLL ssLss ssLssssLL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> sLssssLLs sLsss sLssssLLs </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LssssLLss Lssss LssssLLss </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> ssssLLssL ssssL ssssLLssL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> sssLLssLs sssLs sssLLssLs </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> ssLLssLss ssLss ssLLssLss </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> sLLssLsss sLsss sLLssLsss </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LLssLssss Lssss LLssLssss </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LssLssssL ssssL LssLssssL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> ssLss ssLssssLL ssLssssLL </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> sLsss sLssssLLs sLssssLLs </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> Lssss LssssLLss LssssLLss </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
</table>
<br />
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<br />
<!-- ws:start:WikiTextHeadingRule:2:<h3> --><h3 id="toc0"><a name="x--See also"></a><!-- ws:end:WikiTextHeadingRule:2 -->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>