2L 5s
IMPORTED REVISION FROM WIKISPACES
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Original Wikitext content:
2L 5s refers to a Moment of Symmetry scale with two large steps and five small steps. Common names for such a tuning are mavila and anti-diatonic. The generator is a sharp fourth (or flat fifth), falling between 3\7 (3 degrees of [[7edo]]) and 1\2 (1 degree of [[2edo]] -- the half-octave tritone that appears in every even-numbered edo). The word "mavila" is used in different ways by different folks. Not every user of the word would consider every 2L 5s scale an instance of "mavila." In particular, between 13\29 and 14\31, and centered on 9\20, is the albitonic scale for the score temperament [[chromatic pair]], which is not intended to be treated as having any kind of fifth, flat or otherwise. Generalized form in seven modes: s s L s s s L s L s s s L s L s s s L s s s s s L s s L s s L s s L s s L s s L s s L s s L s s s ||||||||||~ generator in degrees of an [[edo]] ||~ generator in cents ||~ scale ||~ L in cents ||~ s in cents ||~ L to s ratio || ||= 3\7 ||= ||= ||= ||= ||= 514.3 ||= 1 1 1 1 1 1 1 ||= 171.4 ||= 171.4 ||= 1.00 || ||= ||= ||= ||= ||= 13\30 ||= 520.0 ||= 4 4 5 4 4 4 5 ||= 200.0 ||= 160.0 ||= 1.25 || ||= ||= ||= ||= 10\23 ||= ||= 521.7 ||= 3 3 4 3 3 3 4 ||= 208.7 ||= 156.5 ||= 1.33 || ||= ||= ||= ||= ||= 17\39 ||= 523.1 ||= 5 5 7 5 5 5 7 ||= 215.4 ||= 153.8 ||= 1.40 || ||= ||= ||= 7\16 ||= ||= ||= 525.0 ||= 2 2 3 2 2 2 3 ||= 225.0 ||= 150.0 ||= 1.50 || ||= ||= ||= ||= ||= 18\41 ||= 526.8 ||= 5 5 8 5 5 5 8 ||= 234.1 ||= 146.3 ||= 1.60 || ||= ||= ||= ||= 11\25 ||= ||= 528.0 ||= 3 3 5 3 3 3 5 ||= 240.0 ||= 144.0 ||= 1.67 || ||= ||= ||= ||= ||= 15\34 ||= 529.4 ||= 4 4 7 4 4 4 7 ||= 247.1 ||= 141.2 ||= 1.75 || ||= ||= 4\9 ||= ||= ||= ||= 533.3 ||= 1 1 2 1 1 1 2 ||= 266.7 ||= 133.3 ||= 2.00 || ||= ||= ||= ||= ||= 13\29 ||= 537.9 ||= 3 3 7 3 3 3 7 ||= 289.7 ||= 124.1 ||= 2.33 || ||= ||= ||= ||= 9\20 ||= ||= 540.0 ||= 2 2 5 2 2 2 5 ||= 300.0 ||= 120.0 ||= 2.50 || ||= ||= ||= ||= ||= 14\31 ||= 541.9 ||= 3 3 8 3 3 3 8 ||= 309.7 ||= 116.1 ||= 2.66 || ||= ||= ||= 5\11 ||= ||= ||= 545.5 ||= 1 1 3 1 1 1 3 ||= 327.3 ||= 109.1 ||= 3.00 || ||= ||= ||= ||= ||= 11\24 ||= 550.0 ||= 2 2 7 2 2 2 7 ||= 350.0 ||= 100.0 ||= 3.50 || ||= ||= ||= ||= 6\13 ||= ||= 553.8 ||= 1 1 4 1 1 1 4 ||= 369.2 ||= 92.3 ||= 4.00 || ||= ||= ||= ||= ||= 7\15 ||= 560.0 ||= 1 1 5 1 1 1 5 ||= 400.0 ||= 80.0 ||= 5.00 || ||= 1\2 ||= ||= ||= ||= ||= 600.0 ||= 0 0 1 0 0 0 1 ||= 600.0 ||= 0 ||= -- ||
Original HTML content:
<html><head><title>2L 5s</title></head><body>2L 5s refers to a Moment of Symmetry scale with two large steps and five small steps. Common names for such a tuning are mavila and anti-diatonic. The generator is a sharp fourth (or flat fifth), falling between 3\7 (3 degrees of <a class="wiki_link" href="/7edo">7edo</a>) and 1\2 (1 degree of <a class="wiki_link" href="/2edo">2edo</a> -- the half-octave tritone that appears in every even-numbered edo).<br />
<br />
The word "mavila" is used in different ways by different folks. Not every user of the word would consider every 2L 5s scale an instance of "mavila." In particular, between 13\29 and 14\31, and centered on 9\20, is the albitonic scale for the score temperament <a class="wiki_link" href="/chromatic%20pair">chromatic pair</a>, which is not intended to be treated as having any kind of fifth, flat or otherwise.<br />
<br />
Generalized form in seven modes:<br />
<br />
s s L s s s L<br />
s L s s s L s<br />
L s s s L s s<br />
s s s L s s L<br />
s s L s s L s<br />
s L s s L s s<br />
L s s L s s s<br />
<br />
<table class="wiki_table">
<tr>
<th colspan="5">generator in degrees of an <a class="wiki_link" href="/edo">edo</a><br />
</th>
<th>generator in cents<br />
</th>
<th>scale<br />
</th>
<th>L in cents<br />
</th>
<th>s in cents<br />
</th>
<th>L to s ratio<br />
</th>
</tr>
<tr>
<td style="text-align: center;">3\7<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">514.3<br />
</td>
<td style="text-align: center;">1 1 1 1 1 1 1<br />
</td>
<td style="text-align: center;">171.4<br />
</td>
<td style="text-align: center;">171.4<br />
</td>
<td style="text-align: center;">1.00<br />
</td>
</tr>
<tr>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">13\30<br />
</td>
<td style="text-align: center;">520.0<br />
</td>
<td style="text-align: center;">4 4 5 4 4 4 5<br />
</td>
<td style="text-align: center;">200.0<br />
</td>
<td style="text-align: center;">160.0<br />
</td>
<td style="text-align: center;">1.25<br />
</td>
</tr>
<tr>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">10\23<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">521.7<br />
</td>
<td style="text-align: center;">3 3 4 3 3 3 4<br />
</td>
<td style="text-align: center;">208.7<br />
</td>
<td style="text-align: center;">156.5<br />
</td>
<td style="text-align: center;">1.33<br />
</td>
</tr>
<tr>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">17\39<br />
</td>
<td style="text-align: center;">523.1<br />
</td>
<td style="text-align: center;">5 5 7 5 5 5 7<br />
</td>
<td style="text-align: center;">215.4<br />
</td>
<td style="text-align: center;">153.8<br />
</td>
<td style="text-align: center;">1.40<br />
</td>
</tr>
<tr>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">7\16<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">525.0<br />
</td>
<td style="text-align: center;">2 2 3 2 2 2 3<br />
</td>
<td style="text-align: center;">225.0<br />
</td>
<td style="text-align: center;">150.0<br />
</td>
<td style="text-align: center;">1.50<br />
</td>
</tr>
<tr>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">18\41<br />
</td>
<td style="text-align: center;">526.8<br />
</td>
<td style="text-align: center;">5 5 8 5 5 5 8<br />
</td>
<td style="text-align: center;">234.1<br />
</td>
<td style="text-align: center;">146.3<br />
</td>
<td style="text-align: center;">1.60<br />
</td>
</tr>
<tr>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">11\25<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">528.0<br />
</td>
<td style="text-align: center;">3 3 5 3 3 3 5<br />
</td>
<td style="text-align: center;">240.0<br />
</td>
<td style="text-align: center;">144.0<br />
</td>
<td style="text-align: center;">1.67<br />
</td>
</tr>
<tr>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">15\34<br />
</td>
<td style="text-align: center;">529.4<br />
</td>
<td style="text-align: center;">4 4 7 4 4 4 7<br />
</td>
<td style="text-align: center;">247.1<br />
</td>
<td style="text-align: center;">141.2<br />
</td>
<td style="text-align: center;">1.75<br />
</td>
</tr>
<tr>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">4\9<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">533.3<br />
</td>
<td style="text-align: center;">1 1 2 1 1 1 2<br />
</td>
<td style="text-align: center;">266.7<br />
</td>
<td style="text-align: center;">133.3<br />
</td>
<td style="text-align: center;">2.00<br />
</td>
</tr>
<tr>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">13\29<br />
</td>
<td style="text-align: center;">537.9<br />
</td>
<td style="text-align: center;">3 3 7 3 3 3 7<br />
</td>
<td style="text-align: center;">289.7<br />
</td>
<td style="text-align: center;">124.1<br />
</td>
<td style="text-align: center;">2.33<br />
</td>
</tr>
<tr>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">9\20<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">540.0<br />
</td>
<td style="text-align: center;">2 2 5 2 2 2 5<br />
</td>
<td style="text-align: center;">300.0<br />
</td>
<td style="text-align: center;">120.0<br />
</td>
<td style="text-align: center;">2.50<br />
</td>
</tr>
<tr>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">14\31<br />
</td>
<td style="text-align: center;">541.9<br />
</td>
<td style="text-align: center;">3 3 8 3 3 3 8<br />
</td>
<td style="text-align: center;">309.7<br />
</td>
<td style="text-align: center;">116.1<br />
</td>
<td style="text-align: center;">2.66<br />
</td>
</tr>
<tr>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">5\11<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">545.5<br />
</td>
<td style="text-align: center;">1 1 3 1 1 1 3<br />
</td>
<td style="text-align: center;">327.3<br />
</td>
<td style="text-align: center;">109.1<br />
</td>
<td style="text-align: center;">3.00<br />
</td>
</tr>
<tr>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">11\24<br />
</td>
<td style="text-align: center;">550.0<br />
</td>
<td style="text-align: center;">2 2 7 2 2 2 7<br />
</td>
<td style="text-align: center;">350.0<br />
</td>
<td style="text-align: center;">100.0<br />
</td>
<td style="text-align: center;">3.50<br />
</td>
</tr>
<tr>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">6\13<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">553.8<br />
</td>
<td style="text-align: center;">1 1 4 1 1 1 4<br />
</td>
<td style="text-align: center;">369.2<br />
</td>
<td style="text-align: center;">92.3<br />
</td>
<td style="text-align: center;">4.00<br />
</td>
</tr>
<tr>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">7\15<br />
</td>
<td style="text-align: center;">560.0<br />
</td>
<td style="text-align: center;">1 1 5 1 1 1 5<br />
</td>
<td style="text-align: center;">400.0<br />
</td>
<td style="text-align: center;">80.0<br />
</td>
<td style="text-align: center;">5.00<br />
</td>
</tr>
<tr>
<td style="text-align: center;">1\2<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;">600.0<br />
</td>
<td style="text-align: center;">0 0 1 0 0 0 1<br />
</td>
<td style="text-align: center;">600.0<br />
</td>
<td style="text-align: center;">0<br />
</td>
<td style="text-align: center;">--<br />
</td>
</tr>
</table>
</body></html>