46edo: Difference between revisions

Wikispaces>keenanpepper
**Imported revision 246107739 - Original comment: **
Wikispaces>Andrew_Heathwaite
**Imported revision 279207752 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-08-15 18:19:06 UTC</tt>.<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-11-26 13:52:10 UTC</tt>.<br>
: The original revision id was <tt>246107739</tt>.<br>
: The original revision id was <tt>279207752</tt>.<br>
: The revision comment was: <tt></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>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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The 46 equal temperament, often abbreviated 46-tET, 46-EDO, or 46-ET, is the scale derived by dividing the [[octave]] into 46 equally-sized steps. Each step represents a frequency ratio of 26.087 [[cent]]s, an interval close in size to [[66_65|66/65]], the interval from [[13_11|13/11]] to [[6_5|6/5]].
The 46 equal temperament, often abbreviated 46-tET, 46-EDO, or 46-ET, is the scale derived by dividing the [[octave]] into 46 equally-sized steps. Each step represents a frequency ratio of 26.087 [[cent]]s, an interval close in size to [[66_65|66/65]], the interval from [[13_11|13/11]] to [[6_5|6/5]].


46et tempers out 507/500, 91/90, 686/675, 2048/2025, 121/120, 245/243, 126/125, 169/168, 176/175, 896/891, 196/195, 1029/1024, 5120/5103, 385/384, and 441/440 among other intervals, with varied consequences it would take a very long article to describe. [[Rank two temperaments]] it supports include sensi, valentine, shrutar, rodan, leapday and unidec. The [[11-limit]] [[Target tunings|minimax]] tuning for [[Starling family|valentine temperament]], (11/7)^(1/10), is only 0.01 cents flat of 3/46 octaves. In the opinion of some 46et is the first equal division to deal adequately with the [[13-limit]], though others award that distinction to [[41edo]]. In fact, while 41 is a [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta integral edo]] but not a [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta gap edo]], 46 is zeta gap but not zeta integral.
46et tempers out 507/500, 91/90, 686/675, 2048/2025, 121/120, 245/243, 126/125, 169/168, 176/175, 896/891, 196/195, 1029/1024, 5120/5103, 385/384, and 441/440 among other intervals, with varied consequences it would take a very long article to describe. [[Rank two temperaments]] it supports include sensi, valentine, shrutar, rodan, leapday and unidec. The [[11-limit]] [[Target tunings|minimax]] tuning for [[Starling family|valentine temperament]], (11/7)^(1/10), is only 0.01 cents flat of 3/46 octaves. In the opinion of some 46et is the first equal division to deal adequately with the [[13-limit]], though others award that distinction to [[41edo]]. In fact, while 41 is a [[The Riemann Zeta Function and Tuning#Zeta%20EDO%20lists|zeta integral edo]] but not a [[The Riemann Zeta Function and Tuning#Zeta%20EDO%20lists|zeta gap edo]], 46 is zeta gap but not zeta integral.


The fifth of 46 equal is 2.39 cents sharp, which some people (eg, Margo Schulter) prefer, sometimes strongly, over both the [[just fifth]] and fifths of temperaments with flat fifths, such as meantone. It gives a characteristic bright sound to triads, distinct from the mellowness of a meantone triad.
The fifth of 46 equal is 2.39 cents sharp, which some people (eg, Margo Schulter) prefer, sometimes strongly, over both the [[just fifth]] and fifths of temperaments with flat fifths, such as meantone. It gives a characteristic bright sound to triads, distinct from the mellowness of a meantone triad.
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=Linear temperaments=  
=Linear temperaments=  
||~ Periods
||~ Periods
per octave ||~ Generator ||~ Cents ||~ Temperaments ||
per octave ||~ Generator ||~ Cents ||~ Temperaments ||~ MOS Scales available ||~ L:s ||
|| 1 || 1\46 || 26.087 ||  ||
|| 1 || 1\46 || 26.087 ||  ||  ||  ||
|| 1 || 3\46 || 78.261 || [[Valentine]] ||
|| 1 || 3\46 || 78.261 || [[Valentine]] || 1L 14s (15-tone)
|| 1 || 5\46 || 130.435 || [[Twothirdtonic]] ||
15L 1s (16-tone)
|| 1 || 7\46 || 182.609 || [[Minortone]] ||
16L 15s (31-tone) || 4:3 ~ [[quasi-equal]]
|| 1 || 9\46 || 234.783 || [[Rodan]] ||
3:1
|| 1 || 11\46 || 286.957 ||  ||
2:1 ~ QE ||
|| 1 || 13\46 || 339.13 || [[Amity]]/[[hitchcock]] ||
|| 1 || 5\46 || 130.435 || [[Twothirdtonic]] || [[1L 8s]] (9-tone)
|| 1 || 15\46 || 391.304 ||  ||
[[9L 1s]] (10-tone)
|| 1 || 17\46 || 443.478 || [[Sensi]] ||
9L 10s (19-tone)
|| 1 || 19\46 || 495.652 || [[Leapday]] ||
9L 19s (28-tone)
|| 1 || 21\46 || 547.826 || [[Heinz]] ||
9L 28s (37-tone) || 6:5 ~ QE
|| 2 || 1\46 || 26.087 ||  ||
5:1
|| 2 || 2\46 || 52.174 || [[Shrutar]] ||
4:1
|| 2 || 3\46 || 78.261 ||  ||
3:1
|| 2 || 4\46 || 104.348 || [[Srutal]]/[[diaschismic]] ||
2:1 ~ QE ||
|| 2 || 5\46 || 130.435 ||  ||
|| 1 || 7\46 || 182.609 || [[Minortone]] || [[1L 5s]] (6-tone)
|| 2 || 6\46 || 156.522 ||  ||
[[6L 1s]] (7-tone)
|| 2 || 7\46 || 182.609 || [[Unidec]]/[[hendec]] ||
7L 6s (13-tone)
|| 2 || 8\46 || 208.696 ||  ||
13L 7s (20-tone)
|| 2 || 9\46 || 234.783 || [[Echidnic]] ||
13L 20s (33-tone) || 11:7
|| 2 || 10\46 || 260.87 ||  ||
7:4
|| 2 || 11\46 || 286.957 ||  ||
4:3 ~ QE
|| 23 || 1\46 || 26.087 ||  ||
3:1
2:1 ~ QE ||
|| 1 || 9\46 || 234.783 || [[Rodan]] || [[1L 4s]] (5-tone)
[[1L 5s]] (6-tone)
[[5L 6s]] (11-tone)
5L 11s (16-tone)
5L 16s (21-tone)
5L 21s (26-tone)
5L 26s (31-tone)
5L 31s (36-tone)
5L 36s (41-tone) || 10:9 ~QE
9:1
8:1
7:1
6:1
5:1
4:1
3:1
2:1 ~ QE ||
|| 1 || 11\46 || 286.957 ||  || [[4L 1s]] (5-tone)
[[4L 5s]] (9-tone)
4L 9s (13-tone)
4L 13s (17-tone)
4L 17s (21-tone)
21L 4s (25-tone) || 11:2
9:2
7:2
5:2
3:2 ~ QE, Golden
2:1 ~ QE ||
|| 1 || 13\46 || 339.13 || [[Amity]]/[[hitchcock]] || [[4L 3s]] (7-tone)
[[7L 4s]] (11-tone)
7L 11s (18-tone)
7L 18s (25-tone)
7L 25s (32-tone)
7L 32s (39-tone) || 7:6 ~ QE
6:1
5:1
4:1
3:1
2:1 ~ QE ||
|| 1 || 15\46 || 391.304 ||  || [[1L 2s]] (3-tone)
[[3L 1s]] (4-tone)
[[3L 4s]] (7-tone)
[[3L 7s]] (10-tone)
3L 10s (13-tone)
3L 13s (16-tone)
3L 16s (19-tone)
3L 19s (21-tone)
3L 21s (24-tone)
3L 24s (27-tone)
3L 27s (30-tone)
3L 30s (33-tone)
3L 33s (36-tone)
3L 36s (39-tone)
3L 39s (42-tone) || 16:15 ~ QE
15:1
14:1
13:1
12:1
11:1
10:1
9:1
8:1
7:1
6:1
5:1
4:1
3:1
2:1 ~ QE ||
|| 1 || 17\46 || 443.478 || [[Sensi]] || [[3L 2s]] (5-tone)
[[3L 5s]] (8-tone)
[[8L 3s]] (11-tone)
8L 11s (19-tone)
19L 8s (27-tone) || 12:5
7:5
5:2
3:2 ~ QE
2:1 ||
|| 1 || 19\46 || 495.652 || [[Leapday]] ||  ||  ||
|| 1 || 21\46 || 547.826 || [[Heinz]] ||  ||  ||
|| 2 || 1\46 || 26.087 ||  ||  ||  ||
|| 2 || 2\46 || 52.174 || [[Shrutar]] ||  ||  ||
|| 2 || 3\46 || 78.261 ||  ||  ||  ||
|| 2 || 4\46 || 104.348 || [[Srutal]]/[[diaschismic]] ||  ||  ||
|| 2 || 5\46 || 130.435 ||  ||  ||  ||
|| 2 || 6\46 || 156.522 ||  ||  ||  ||
|| 2 || 7\46 || 182.609 || [[Unidec]]/[[hendec]] ||  ||  ||
|| 2 || 8\46 || 208.696 ||  ||  ||  ||
|| 2 || 9\46 || 234.783 || [[Echidnic]] ||  ||  ||
|| 2 || 10\46 || 260.87 ||  ||  ||  ||
|| 2 || 11\46 || 286.957 ||  ||  ||  ||
|| 23 || 1\46 || 26.087 ||  ||  ||  ||
=Intervals=  
=Intervals=  
|| degrees of 46edo || cents value ||
|| degrees of 46edo || cents value ||
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  The 46 equal temperament, often abbreviated 46-tET, 46-EDO, or 46-ET, is the scale derived by dividing the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 46 equally-sized steps. Each step represents a frequency ratio of 26.087 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s, an interval close in size to &lt;a class="wiki_link" href="/66_65"&gt;66/65&lt;/a&gt;, the interval from &lt;a class="wiki_link" href="/13_11"&gt;13/11&lt;/a&gt; to &lt;a class="wiki_link" href="/6_5"&gt;6/5&lt;/a&gt;.&lt;br /&gt;
  The 46 equal temperament, often abbreviated 46-tET, 46-EDO, or 46-ET, is the scale derived by dividing the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 46 equally-sized steps. Each step represents a frequency ratio of 26.087 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s, an interval close in size to &lt;a class="wiki_link" href="/66_65"&gt;66/65&lt;/a&gt;, the interval from &lt;a class="wiki_link" href="/13_11"&gt;13/11&lt;/a&gt; to &lt;a class="wiki_link" href="/6_5"&gt;6/5&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
46et tempers out 507/500, 91/90, 686/675, 2048/2025, 121/120, 245/243, 126/125, 169/168, 176/175, 896/891, 196/195, 1029/1024, 5120/5103, 385/384, and 441/440 among other intervals, with varied consequences it would take a very long article to describe. &lt;a class="wiki_link" href="/Rank%20two%20temperaments"&gt;Rank two temperaments&lt;/a&gt; it supports include sensi, valentine, shrutar, rodan, leapday and unidec. The &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Target%20tunings"&gt;minimax&lt;/a&gt; tuning for &lt;a class="wiki_link" href="/Starling%20family"&gt;valentine temperament&lt;/a&gt;, (11/7)^(1/10), is only 0.01 cents flat of 3/46 octaves. In the opinion of some 46et is the first equal division to deal adequately with the &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt;, though others award that distinction to &lt;a class="wiki_link" href="/41edo"&gt;41edo&lt;/a&gt;. In fact, while 41 is a &lt;a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists"&gt;zeta integral edo&lt;/a&gt; but not a &lt;a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists"&gt;zeta gap edo&lt;/a&gt;, 46 is zeta gap but not zeta integral.&lt;br /&gt;
46et tempers out 507/500, 91/90, 686/675, 2048/2025, 121/120, 245/243, 126/125, 169/168, 176/175, 896/891, 196/195, 1029/1024, 5120/5103, 385/384, and 441/440 among other intervals, with varied consequences it would take a very long article to describe. &lt;a class="wiki_link" href="/Rank%20two%20temperaments"&gt;Rank two temperaments&lt;/a&gt; it supports include sensi, valentine, shrutar, rodan, leapday and unidec. The &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Target%20tunings"&gt;minimax&lt;/a&gt; tuning for &lt;a class="wiki_link" href="/Starling%20family"&gt;valentine temperament&lt;/a&gt;, (11/7)^(1/10), is only 0.01 cents flat of 3/46 octaves. In the opinion of some 46et is the first equal division to deal adequately with the &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt;, though others award that distinction to &lt;a class="wiki_link" href="/41edo"&gt;41edo&lt;/a&gt;. In fact, while 41 is a &lt;a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta%20EDO%20lists"&gt;zeta integral edo&lt;/a&gt; but not a &lt;a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta%20EDO%20lists"&gt;zeta gap edo&lt;/a&gt;, 46 is zeta gap but not zeta integral.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The fifth of 46 equal is 2.39 cents sharp, which some people (eg, Margo Schulter) prefer, sometimes strongly, over both the &lt;a class="wiki_link" href="/just%20fifth"&gt;just fifth&lt;/a&gt; and fifths of temperaments with flat fifths, such as meantone. It gives a characteristic bright sound to triads, distinct from the mellowness of a meantone triad.&lt;br /&gt;
The fifth of 46 equal is 2.39 cents sharp, which some people (eg, Margo Schulter) prefer, sometimes strongly, over both the &lt;a class="wiki_link" href="/just%20fifth"&gt;just fifth&lt;/a&gt; and fifths of temperaments with flat fifths, such as meantone. It gives a characteristic bright sound to triads, distinct from the mellowness of a meantone triad.&lt;br /&gt;
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&lt;/th&gt;
&lt;/th&gt;
         &lt;th&gt;Temperaments&lt;br /&gt;
         &lt;th&gt;Temperaments&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;MOS Scales available&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;L:s&lt;br /&gt;
&lt;/th&gt;
&lt;/th&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;26.087&lt;br /&gt;
         &lt;td&gt;26.087&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Valentine"&gt;Valentine&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Valentine"&gt;Valentine&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1L 14s (15-tone)&lt;br /&gt;
15L 1s (16-tone)&lt;br /&gt;
16L 15s (31-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4:3 ~ &lt;a class="wiki_link" href="/quasi-equal"&gt;quasi-equal&lt;/a&gt;&lt;br /&gt;
3:1&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Twothirdtonic"&gt;Twothirdtonic&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Twothirdtonic"&gt;Twothirdtonic&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/1L%208s"&gt;1L 8s&lt;/a&gt; (9-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="/9L%201s"&gt;9L 1s&lt;/a&gt; (10-tone)&lt;br /&gt;
9L 10s (19-tone)&lt;br /&gt;
9L 19s (28-tone)&lt;br /&gt;
9L 28s (37-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6:5 ~ QE&lt;br /&gt;
5:1&lt;br /&gt;
4:1&lt;br /&gt;
3:1&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Minortone"&gt;Minortone&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Minortone"&gt;Minortone&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/1L%205s"&gt;1L 5s&lt;/a&gt; (6-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="/6L%201s"&gt;6L 1s&lt;/a&gt; (7-tone)&lt;br /&gt;
7L 6s (13-tone)&lt;br /&gt;
13L 7s (20-tone)&lt;br /&gt;
13L 20s (33-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11:7&lt;br /&gt;
7:4&lt;br /&gt;
4:3 ~ QE&lt;br /&gt;
3:1&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Rodan"&gt;Rodan&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Rodan"&gt;Rodan&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/1L%204s"&gt;1L 4s&lt;/a&gt; (5-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="/1L%205s"&gt;1L 5s&lt;/a&gt; (6-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="/5L%206s"&gt;5L 6s&lt;/a&gt; (11-tone)&lt;br /&gt;
5L 11s (16-tone)&lt;br /&gt;
5L 16s (21-tone)&lt;br /&gt;
5L 21s (26-tone)&lt;br /&gt;
5L 26s (31-tone)&lt;br /&gt;
5L 31s (36-tone)&lt;br /&gt;
5L 36s (41-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10:9 ~QE&lt;br /&gt;
9:1&lt;br /&gt;
8:1&lt;br /&gt;
7:1&lt;br /&gt;
6:1&lt;br /&gt;
5:1&lt;br /&gt;
4:1&lt;br /&gt;
3:1&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/4L%201s"&gt;4L 1s&lt;/a&gt; (5-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="/4L%205s"&gt;4L 5s&lt;/a&gt; (9-tone)&lt;br /&gt;
4L 9s (13-tone)&lt;br /&gt;
4L 13s (17-tone)&lt;br /&gt;
4L 17s (21-tone)&lt;br /&gt;
21L 4s (25-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11:2&lt;br /&gt;
9:2&lt;br /&gt;
7:2&lt;br /&gt;
5:2&lt;br /&gt;
3:2 ~ QE, Golden&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Amity"&gt;Amity&lt;/a&gt;/&lt;a class="wiki_link" href="/hitchcock"&gt;hitchcock&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Amity"&gt;Amity&lt;/a&gt;/&lt;a class="wiki_link" href="/hitchcock"&gt;hitchcock&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/4L%203s"&gt;4L 3s&lt;/a&gt; (7-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="/7L%204s"&gt;7L 4s&lt;/a&gt; (11-tone)&lt;br /&gt;
7L 11s (18-tone)&lt;br /&gt;
7L 18s (25-tone)&lt;br /&gt;
7L 25s (32-tone)&lt;br /&gt;
7L 32s (39-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7:6 ~ QE&lt;br /&gt;
6:1&lt;br /&gt;
5:1&lt;br /&gt;
4:1&lt;br /&gt;
3:1&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/1L%202s"&gt;1L 2s&lt;/a&gt; (3-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="/3L%201s"&gt;3L 1s&lt;/a&gt; (4-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="/3L%204s"&gt;3L 4s&lt;/a&gt; (7-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="/3L%207s"&gt;3L 7s&lt;/a&gt; (10-tone)&lt;br /&gt;
3L 10s (13-tone)&lt;br /&gt;
3L 13s (16-tone)&lt;br /&gt;
3L 16s (19-tone)&lt;br /&gt;
3L 19s (21-tone)&lt;br /&gt;
3L 21s (24-tone)&lt;br /&gt;
3L 24s (27-tone)&lt;br /&gt;
3L 27s (30-tone)&lt;br /&gt;
3L 30s (33-tone)&lt;br /&gt;
3L 33s (36-tone)&lt;br /&gt;
3L 36s (39-tone)&lt;br /&gt;
3L 39s (42-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16:15 ~ QE&lt;br /&gt;
15:1&lt;br /&gt;
14:1&lt;br /&gt;
13:1&lt;br /&gt;
12:1&lt;br /&gt;
11:1&lt;br /&gt;
10:1&lt;br /&gt;
9:1&lt;br /&gt;
8:1&lt;br /&gt;
7:1&lt;br /&gt;
6:1&lt;br /&gt;
5:1&lt;br /&gt;
4:1&lt;br /&gt;
3:1&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 236: Line 448:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Sensi"&gt;Sensi&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Sensi"&gt;Sensi&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/3L%202s"&gt;3L 2s&lt;/a&gt; (5-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="/3L%205s"&gt;3L 5s&lt;/a&gt; (8-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="/8L%203s"&gt;8L 3s&lt;/a&gt; (11-tone)&lt;br /&gt;
8L 11s (19-tone)&lt;br /&gt;
19L 8s (27-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12:5&lt;br /&gt;
7:5&lt;br /&gt;
5:2&lt;br /&gt;
3:2 ~ QE&lt;br /&gt;
2:1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 246: Line 470:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Leapday"&gt;Leapday&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Leapday"&gt;Leapday&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 256: Line 484:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Heinz"&gt;Heinz&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Heinz"&gt;Heinz&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 264: Line 496:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;26.087&lt;br /&gt;
         &lt;td&gt;26.087&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 276: Line 512:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Shrutar"&gt;Shrutar&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Shrutar"&gt;Shrutar&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 284: Line 524:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;78.261&lt;br /&gt;
         &lt;td&gt;78.261&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 296: Line 540:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Srutal"&gt;Srutal&lt;/a&gt;/&lt;a class="wiki_link" href="/diaschismic"&gt;diaschismic&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Srutal"&gt;Srutal&lt;/a&gt;/&lt;a class="wiki_link" href="/diaschismic"&gt;diaschismic&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 304: Line 552:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;130.435&lt;br /&gt;
         &lt;td&gt;130.435&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 314: Line 566:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;156.522&lt;br /&gt;
         &lt;td&gt;156.522&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 326: Line 582:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Unidec"&gt;Unidec&lt;/a&gt;/&lt;a class="wiki_link" href="/hendec"&gt;hendec&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Unidec"&gt;Unidec&lt;/a&gt;/&lt;a class="wiki_link" href="/hendec"&gt;hendec&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 334: Line 594:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;208.696&lt;br /&gt;
         &lt;td&gt;208.696&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 346: Line 610:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Echidnic"&gt;Echidnic&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Echidnic"&gt;Echidnic&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 354: Line 622:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;260.87&lt;br /&gt;
         &lt;td&gt;260.87&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 364: Line 636:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;286.957&lt;br /&gt;
         &lt;td&gt;286.957&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 374: Line 650:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;26.087&lt;br /&gt;
         &lt;td&gt;26.087&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;