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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<span style="display: block; text-align: right;">Other languages: [[:de:Pajara Deutsch]]</span>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-28 14:04:59 UTC</tt>.<br>
: The original revision id was <tt>597406232</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">&lt;span style="display: block; text-align: right;"&gt;Other languages: [[xenharmonie/Pajara|Deutsch]]
&lt;/span&gt;
Pajara (pronounced /p&lt;span class="IPA"&gt;əˈd͡ʒɑːr&lt;/span&gt;ə/, with the J as in "jar") is a temperament with a half-octave period that represents both 7/5 and 10/7, so 50/49 is tempered out and it is in the [[jubilismic clan]]. The generator is in the neighborhood of 105-110 cents, so that period + generator represents 3/2. Period minus 2 generators is 5/4, which, if you work it out, implies that 2048/2025 is tempered out, so pajara is also in the [[diaschismic family]]. Finally, two 4/3s (or a 2/1 minus two generators) represents 7/4 as well as 16/9, so 64/63 is tempered out and pajara is in the [[Archytas clan]]. Tempering out any two of these commas (among others) produces the unique temperament, pajara.


The 10-note MOS and LsssLsssss almost-MOS are called the symmetric and pentachordal decatonic scales and were independently invented/discovered by [[Paul Erlich]] and [[Gene Ward Smith]]. They are often thought of as subsets of [[22edo]], without much loss of generality and accuracy.
Pajara (pronounced /p<span style="">əˈd͡ʒɑːr</span>ə/, with the J as in "jar") is a temperament with a half-octave period that represents both 7/5 and 10/7, so 50/49 is tempered out and it is in the [[Jubilismic_clan|jubilismic clan]]. The generator is in the neighborhood of 105-110 cents, so that period + generator represents 3/2. Period minus 2 generators is 5/4, which, if you work it out, implies that 2048/2025 is tempered out, so pajara is also in the [[Diaschismic_family|diaschismic family]]. Finally, two 4/3s (or a 2/1 minus two generators) represents 7/4 as well as 16/9, so 64/63 is tempered out and pajara is in the [[Archytas_clan|Archytas clan]]. Tempering out any two of these commas (among others) produces the unique temperament, pajara.


==Interval chains==
The 10-note MOS and LsssLsssss almost-MOS are called the symmetric and pentachordal decatonic scales and were independently invented/discovered by [[Paul_Erlich|Paul Erlich]] and [[Gene_Ward_Smith|Gene Ward Smith]]. They are often thought of as subsets of [[22edo|22edo]], without much loss of generality and accuracy.
There are two different mappings of the 11 limit. One is just called "pajara" and is slightly more complex but suffers almost no loss of accuracy compared to the 7 limit. The other, called "pajarous" to avoid confusion, loses some accuracy and there's little reason to use it unless you're using [[22edo]], which is the intersection of both systems.
===Basic 7-limit pajara===
|| 771.81 || 878.86 || 985.90 || 1092.95 || 0. || 107.05 || 214.10 || 321.14 || 428.19 ||
|| 14/9 || 5/3 || 7/4~16/9 ||  || 1/1 ||  || 9/8~8/7 || 6/5 || 9/7 ||
|| 171.81 || 278.86 || 385.90 || 492.95 || 600. || 707.05 || 814.10 || 921.14 || 1028.19 ||
|| 10/9 || 7/6 || 5/4 || 4/3 || 7/5~10/7 || 3/2 || 8/5 || 12/7 || 9/5 ||
===11-limit pajara===
|| 344.92 || 451.80 || 558.69 || 665.57 || 772.46 || 879.34 || 986.23 || 1093.11 || 0. || 106.89 || 213.77 || 320.66 || 427.54 || 534.43 || 641.31 || 748.20 || 855.08 ||
|| 11/9 ||  || 11/8 ||  || 14/9~11/7 || 5/3 || 7/4~16/9 ||  || 1/1 ||  || 9/8~8/7 || 6/5 || 14/9~9/7 ||  || 16/11 ||  || 18/11 ||
|| 944.92 || 1051.80 || 1158.69 || 65.57 || 172.46 || 279.34 || 386.23 || 493.11 || 600. || 706.89 || 813.77 || 920.66 || 1027.54 || 1134.43 || 41.31 || 148.20 || 255.08 ||
||  || 11/6 ||  ||  || 11/10~10/9 || 7/6 || 5/4 || 4/3 || 7/5~10/7 || 3/2 || 8/5 || 12/7 || 9/5 ||  ||  || 12/11 ||  ||
===Pajarous===
|| 432.96 || 542.54 || 652.11 || 761.69 || 871.27 || 980.85 || 1090.42 || 0. || 109.58 || 219.15 || 328.73 || 438.31 || 547.89 || 657.46 || 767.04 ||
|| 14/11 ||  || 16/11 || 14/9 || 18/11~5/3 || 7/4~16/9 ||  || 1/1 ||  || 9/8~8/7 || 6/5~11/9 || 9/7 || 11/8 ||  || 11/7 ||
|| 1032.96 || 1142.54 || 52.11 || 161.69 || 271.27 || 380.85 || 490.42 || 600. || 709.58 || 819.15 || 928.73 || 1038.31 || 1147.89 || 57.46 || 167.04 ||
|| 20/11 ||  ||  || 12/11~10/9 || 7/6 || 5/4 || 4/3 || 7/5~10/7 || 3/2 || 8/5 || 12/7 || 9/5~11/6 ||  ||  || 11/10 ||


==MOSes==  
==Interval chains==
===10-note (proper)===  
There are two different mappings of the 11 limit. One is just called "pajara" and is slightly more complex but suffers almost no loss of accuracy compared to the 7 limit. The other, called "pajarous" to avoid confusion, loses some accuracy and there's little reason to use it unless you're using [[22edo|22edo]], which is the intersection of both systems.
See [[2L 8s]].
 
The true MOS is called the "symmetric" decatonic scale, because it repeats exactly at the half-octave, so the symmetric scale starting from 7/5~10/7 is the same as the symmetric scale starting from 1/1. The near-MOS, LsssLsssss, in which only the 5-step interval violates the "no more than 2 intervals per class" rule, is called the "pentachordal" decatonic, because it consists of two identical "pentachords" plus a split 9/8~8/7 whole tone to complete the octave.
===Basic 7-limit pajara===
 
{| class="wikitable"
|-
| | 771.81
| | 878.86
| | 985.90
| | 1092.95
| | 0.
| | 107.05
| | 214.10
| | 321.14
| | 428.19
|-
| | 14/9
| | 5/3
| | 7/4~16/9
| |
| | 1/1
| |
| | 9/8~8/7
| | 6/5
| | 9/7
|-
| | 171.81
| | 278.86
| | 385.90
| | 492.95
| | 600.
| | 707.05
| | 814.10
| | 921.14
| | 1028.19
|-
| | 10/9
| | 7/6
| | 5/4
| | 4/3
| | 7/5~10/7
| | 3/2
| | 8/5
| | 12/7
| | 9/5
|}
 
===11-limit pajara===
 
{| class="wikitable"
|-
| | 344.92
| | 451.80
| | 558.69
| | 665.57
| | 772.46
| | 879.34
| | 986.23
| | 1093.11
| | 0.
| | 106.89
| | 213.77
| | 320.66
| | 427.54
| | 534.43
| | 641.31
| | 748.20
| | 855.08
|-
| | 11/9
| |
| | 11/8
| |
| | 14/9~11/7
| | 5/3
| | 7/4~16/9
| |
| | 1/1
| |
| | 9/8~8/7
| | 6/5
| | 14/9~9/7
| |
| | 16/11
| |
| | 18/11
|-
| | 944.92
| | 1051.80
| | 1158.69
| | 65.57
| | 172.46
| | 279.34
| | 386.23
| | 493.11
| | 600.
| | 706.89
| | 813.77
| | 920.66
| | 1027.54
| | 1134.43
| | 41.31
| | 148.20
| | 255.08
|-
| |
| | 11/6
| |
| |
| | 11/10~10/9
| | 7/6
| | 5/4
| | 4/3
| | 7/5~10/7
| | 3/2
| | 8/5
| | 12/7
| | 9/5
| |
| |
| | 12/11
| |
|}
 
===Pajarous===


===12-note (proper)===
{| class="wikitable"
See [[10L 2s]].
|-
| | 432.96
| | 542.54
| | 652.11
| | 761.69
| | 871.27
| | 980.85
| | 1090.42
| | 0.
| | 109.58
| | 219.15
| | 328.73
| | 438.31
| | 547.89
| | 657.46
| | 767.04
|-
| | 14/11
| |
| | 16/11
| | 14/9
| | 18/11~5/3
| | 7/4~16/9
| |
| | 1/1
| |
| | 9/8~8/7
| | 6/5~11/9
| | 9/7
| | 11/8
| |
| | 11/7
|-
| | 1032.96
| | 1142.54
| | 52.11
| | 161.69
| | 271.27
| | 380.85
| | 490.42
| | 600.
| | 709.58
| | 819.15
| | 928.73
| | 1038.31
| | 1147.89
| | 57.46
| | 167.04
|-
| | 20/11
| |
| |
| | 12/11~10/9
| | 7/6
| | 5/4
| | 4/3
| | 7/5~10/7
| | 3/2
| | 8/5
| | 12/7
| | 9/5~11/6
| |
| |
| | 11/10
|}


==Spectrum of Pajara Tunings by Eigenmonzos==  
==MOSes==
||~ EDO degree ||~ Eigenmonzo ||~ Decatonic seventh ||
|| 7\12 ||  || 700.000 ||
||  || 3/2 || 701.955 ||
|| 41\70 ||  || 702.857 ||
|| 34\58 ||  || 703.448 ||
|| 61\104 ||  || 703.846 ||
|| 27\46 ||  || 704.348 ||
||  || 14/11 || 704.377 ||
||  || 10/9 || 704.399 ||
|| 74\126 ||  || 704.762 ||
|| 47\80 ||  || 705.000 ||
|| 114\194 ||  || 705.155 ||
||  || 6/5 || 705.214 (5 and 15 limit minimax) ||
|| 67\114 ||  || 705.263 ||
|| 87\148 ||  || 705.405 ||
|| 20\34 ||  || 705.882 ||
|| 93\158 ||  || 706.329 ||
|| 73\124 ||  || 706.452 ||
|| 126\214 ||  || 706.542 ||
||  || 11/9 || 706.574 ||
|| 53\90 ||  || 706.667 ||
|| 139\236 ||  || 706.780 ||
||  || 5/4 || 706.843 (7 and 11 limit POTT) ||
|| 86\146 ||  || 706.849 ||
|| 119\202 ||  || 706.931 ||
|| 33\56 ||  || 707.143 ||
||  || 12/11 || 707.234 ||
|| 112\190 ||  || 707.368 ||
||  || 15/11 || 707.390 ||
|| 79\134 ||  || 707.463 ||
|| 125\212 ||  || 707.547 ||
|| 46\78 ||  || 707.692 ||
|| 105\178 ||  || 707.865 ||
|| 59\100 ||  || 708.000 ||
||  || 11/8 || 708.114 ||
|| 72\122 ||  || 708.196 ||
||  || 11/10 || 708.749 (11 limit minimax) ||
||  || 9/7 || 708.771 ||
|| 13\22 ||  || 709.091 ||
|| 58\98 ||  || 710.204 ||
|| 45\76 ||  || 710.526 ||
|| 122\206 ||  || 710.680 ||
|| 77\130 ||  || 710.769 ||
|| 109\184 ||  || 710.870 ||
||  || 7/6 || 711.043 (7 limit minimax) ||
|| 32\54 ||  || 711.111 ||
||  || 13/11 || 711.151 (13 limit minimax) ||
|| 83\140 ||  || 711.429 ||
|| 51\86 ||  || 711.628 ||
||  || 16/15 || 711.731 ||
|| 70\118 ||  || 711.864 ||
|| 19\32 ||  || 712.500 ||
|| 44\74 ||  || 713.5135 ||
||  || 13/10 || 713.553 ||
|| 25\42 ||  || 714.286 ||
|| 31\52 ||  || 715.385 ||
||  || 8/7 || 715.587 ||
|| 6\10 ||  || 720.000 ||


==References==  
===10-note (proper)===
* Erlich, Paul. "Tuning, Tonality and 22-Tone Temperament." Xenharmonicon 17, 1998. [[http://sethares.engr.wisc.edu/paperspdf/Erlich-22.pdf]]
See [[2L_8s|2L 8s]].


=Music=
The true MOS is called the "symmetric" decatonic scale, because it repeats exactly at the half-octave, so the symmetric scale starting from 7/5~10/7 is the same as the symmetric scale starting from 1/1. The near-MOS, LsssLsssss, in which only the 5-step interval violates the "no more than 2 intervals per class" rule, is called the "pentachordal" decatonic, because it consists of two identical "pentachords" plus a split 9/8~8/7 whole tone to complete the octave.
[[http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/12-22hexachordal%20Dirge.mp3|12-22hexachordal Dirge]] and
[[http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/12-22hexachordal%20Sonatina.mp3|12-22hexachordal Sonatina]] both by [[Joel Grant Taylor]], in the hexachordal dodecatonic MODMOS.
[[http://micro.soonlabel.com/22-ET/20120616-12-22h.scl-smoke-filled-bar.mp3|Smoke Filled Bar]] by [[http://chrisvaisvil.com/?p=2403|Chris Vaisvil]], also in 12-22h.
[[https://soundcloud.com/jdfreivald/chord-sequence-in-paul-erlichs|Chord Sequence in Paul Erlich's Decatonic Major]] by Jake Freivald</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;pajara&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;span style="display: block; text-align: right;"&gt;Other languages: &lt;a class="wiki_link" href="http://xenharmonie.wikispaces.com/Pajara"&gt;Deutsch&lt;/a&gt;&lt;br /&gt;
&lt;/span&gt;&lt;br /&gt;
Pajara (pronounced /p&lt;span class="IPA"&gt;əˈd͡ʒɑːr&lt;/span&gt;ə/, with the J as in &amp;quot;jar&amp;quot;) is a temperament with a half-octave period that represents both 7/5 and 10/7, so 50/49 is tempered out and it is in the &lt;a class="wiki_link" href="/jubilismic%20clan"&gt;jubilismic clan&lt;/a&gt;. The generator is in the neighborhood of 105-110 cents, so that period + generator represents 3/2. Period minus 2 generators is 5/4, which, if you work it out, implies that 2048/2025 is tempered out, so pajara is also in the &lt;a class="wiki_link" href="/diaschismic%20family"&gt;diaschismic family&lt;/a&gt;. Finally, two 4/3s (or a 2/1 minus two generators) represents 7/4 as well as 16/9, so 64/63 is tempered out and pajara is in the &lt;a class="wiki_link" href="/Archytas%20clan"&gt;Archytas clan&lt;/a&gt;. Tempering out any two of these commas (among others) produces the unique temperament, pajara.&lt;br /&gt;
&lt;br /&gt;
The 10-note MOS and LsssLsssss almost-MOS are called the symmetric and pentachordal decatonic scales and were independently invented/discovered by &lt;a class="wiki_link" href="/Paul%20Erlich"&gt;Paul Erlich&lt;/a&gt; and &lt;a class="wiki_link" href="/Gene%20Ward%20Smith"&gt;Gene Ward Smith&lt;/a&gt;. They are often thought of as subsets of &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt;, without much loss of generality and accuracy.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Interval chains"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Interval chains&lt;/h2&gt;
There are two different mappings of the 11 limit. One is just called &amp;quot;pajara&amp;quot; and is slightly more complex but suffers almost no loss of accuracy compared to the 7 limit. The other, called &amp;quot;pajarous&amp;quot; to avoid confusion, loses some accuracy and there's little reason to use it unless you're using &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt;, which is the intersection of both systems.&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-Interval chains-Basic 7-limit pajara"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Basic 7-limit pajara&lt;/h3&gt;


&lt;table class="wiki_table"&gt;
===12-note (proper)===
    &lt;tr&gt;
See [[10L_2s|10L 2s]].
        &lt;td&gt;771.81&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;878.86&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;985.90&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1092.95&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0.&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;107.05&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;214.10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;321.14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;428.19&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/4~16/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1/1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/8~8/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/7&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;171.81&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;278.86&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;385.90&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;492.95&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;600.&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;707.05&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;814.10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;921.14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1028.19&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/5~10/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/5&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-Interval chains-11-limit pajara"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;11-limit pajara&lt;/h3&gt;
==Spectrum of Pajara Tunings by Eigenmonzos==


&lt;table class="wiki_table"&gt;
{| class="wikitable"
    &lt;tr&gt;
|-
        &lt;td&gt;344.92&lt;br /&gt;
! | EDO degree
&lt;/td&gt;
! | Eigenmonzo
        &lt;td&gt;451.80&lt;br /&gt;
! | Decatonic seventh
&lt;/td&gt;
|-
        &lt;td&gt;558.69&lt;br /&gt;
| | 7\12
&lt;/td&gt;
| |
        &lt;td&gt;665.57&lt;br /&gt;
| | 700.000
&lt;/td&gt;
|-
        &lt;td&gt;772.46&lt;br /&gt;
| |
&lt;/td&gt;
| | 3/2
        &lt;td&gt;879.34&lt;br /&gt;
| | 701.955
&lt;/td&gt;
|-
        &lt;td&gt;986.23&lt;br /&gt;
| | 41\70
&lt;/td&gt;
| |
        &lt;td&gt;1093.11&lt;br /&gt;
| | 702.857
&lt;/td&gt;
|-
        &lt;td&gt;0.&lt;br /&gt;
| | 34\58
&lt;/td&gt;
| |
        &lt;td&gt;106.89&lt;br /&gt;
| | 703.448
&lt;/td&gt;
|-
        &lt;td&gt;213.77&lt;br /&gt;
| | 61\104
&lt;/td&gt;
| |
        &lt;td&gt;320.66&lt;br /&gt;
| | 703.846
&lt;/td&gt;
|-
        &lt;td&gt;427.54&lt;br /&gt;
| | 27\46
&lt;/td&gt;
| |
        &lt;td&gt;534.43&lt;br /&gt;
| | 704.348
&lt;/td&gt;
|-
        &lt;td&gt;641.31&lt;br /&gt;
| |
&lt;/td&gt;
| | 14/11
        &lt;td&gt;748.20&lt;br /&gt;
| | 704.377
&lt;/td&gt;
|-
        &lt;td&gt;855.08&lt;br /&gt;
| |
&lt;/td&gt;
| | 10/9
    &lt;/tr&gt;
| | 704.399
    &lt;tr&gt;
|-
        &lt;td&gt;11/9&lt;br /&gt;
| | 74\126
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 704.762
&lt;/td&gt;
|-
        &lt;td&gt;11/8&lt;br /&gt;
| | 47\80
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 705.000
&lt;/td&gt;
|-
        &lt;td&gt;14/9~11/7&lt;br /&gt;
| | 114\194
&lt;/td&gt;
| |
        &lt;td&gt;5/3&lt;br /&gt;
| | 705.155
&lt;/td&gt;
|-
        &lt;td&gt;7/4~16/9&lt;br /&gt;
| |
&lt;/td&gt;
| | 6/5
        &lt;td&gt;&lt;br /&gt;
| | 705.214 (5 and 15 limit minimax)
&lt;/td&gt;
|-
        &lt;td&gt;1/1&lt;br /&gt;
| | 67\114
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 705.263
&lt;/td&gt;
|-
        &lt;td&gt;9/8~8/7&lt;br /&gt;
| | 87\148
&lt;/td&gt;
| |
        &lt;td&gt;6/5&lt;br /&gt;
| | 705.405
&lt;/td&gt;
|-
        &lt;td&gt;14/9~9/7&lt;br /&gt;
| | 20\34
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 705.882
&lt;/td&gt;
|-
        &lt;td&gt;16/11&lt;br /&gt;
| | 93\158
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 706.329
&lt;/td&gt;
|-
        &lt;td&gt;18/11&lt;br /&gt;
| | 73\124
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | 706.452
    &lt;tr&gt;
|-
        &lt;td&gt;944.92&lt;br /&gt;
| | 126\214
&lt;/td&gt;
| |
        &lt;td&gt;1051.80&lt;br /&gt;
| | 706.542
&lt;/td&gt;
|-
        &lt;td&gt;1158.69&lt;br /&gt;
| |
&lt;/td&gt;
| | 11/9
        &lt;td&gt;65.57&lt;br /&gt;
| | 706.574
&lt;/td&gt;
|-
        &lt;td&gt;172.46&lt;br /&gt;
| | 53\90
&lt;/td&gt;
| |
        &lt;td&gt;279.34&lt;br /&gt;
| | 706.667
&lt;/td&gt;
|-
        &lt;td&gt;386.23&lt;br /&gt;
| | 139\236
&lt;/td&gt;
| |
        &lt;td&gt;493.11&lt;br /&gt;
| | 706.780
&lt;/td&gt;
|-
        &lt;td&gt;600.&lt;br /&gt;
| |
&lt;/td&gt;
| | 5/4
        &lt;td&gt;706.89&lt;br /&gt;
| | 706.843 (7 and 11 limit POTT)
&lt;/td&gt;
|-
        &lt;td&gt;813.77&lt;br /&gt;
| | 86\146
&lt;/td&gt;
| |
        &lt;td&gt;920.66&lt;br /&gt;
| | 706.849
&lt;/td&gt;
|-
        &lt;td&gt;1027.54&lt;br /&gt;
| | 119\202
&lt;/td&gt;
| |
        &lt;td&gt;1134.43&lt;br /&gt;
| | 706.931
&lt;/td&gt;
|-
        &lt;td&gt;41.31&lt;br /&gt;
| | 33\56
&lt;/td&gt;
| |
        &lt;td&gt;148.20&lt;br /&gt;
| | 707.143
&lt;/td&gt;
|-
        &lt;td&gt;255.08&lt;br /&gt;
| |
&lt;/td&gt;
| | 12/11
    &lt;/tr&gt;
| | 707.234
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | 112\190
&lt;/td&gt;
| |
        &lt;td&gt;11/6&lt;br /&gt;
| | 707.368
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 15/11
        &lt;td&gt;&lt;br /&gt;
| | 707.390
&lt;/td&gt;
|-
        &lt;td&gt;11/10~10/9&lt;br /&gt;
| | 79\134
&lt;/td&gt;
| |
        &lt;td&gt;7/6&lt;br /&gt;
| | 707.463
&lt;/td&gt;
|-
        &lt;td&gt;5/4&lt;br /&gt;
| | 125\212
&lt;/td&gt;
| |
        &lt;td&gt;4/3&lt;br /&gt;
| | 707.547
&lt;/td&gt;
|-
        &lt;td&gt;7/5~10/7&lt;br /&gt;
| | 46\78
&lt;/td&gt;
| |
        &lt;td&gt;3/2&lt;br /&gt;
| | 707.692
&lt;/td&gt;
|-
        &lt;td&gt;8/5&lt;br /&gt;
| | 105\178
&lt;/td&gt;
| |
        &lt;td&gt;12/7&lt;br /&gt;
| | 707.865
&lt;/td&gt;
|-
        &lt;td&gt;9/5&lt;br /&gt;
| | 59\100
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 708.000
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 11/8
        &lt;td&gt;12/11&lt;br /&gt;
| | 708.114
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | 72\122
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | 708.196
&lt;/table&gt;
|-
| |
| | 11/10
| | 708.749 (11 limit minimax)
|-
| |
| | 9/7
| | 708.771
|-
| | 13\22
| |
| | 709.091
|-
| | 58\98
| |
| | 710.204
|-
| | 45\76
| |
| | 710.526
|-
| | 122\206
| |
| | 710.680
|-
| | 77\130
| |
| | 710.769
|-
| | 109\184
| |
| | 710.870
|-
| |
| | 7/6
| | 711.043 (7 limit minimax)
|-
| | 32\54
| |
| | 711.111
|-
| |
| | 13/11
| | 711.151 (13 limit minimax)
|-
| | 83\140
| |
| | 711.429
|-
| | 51\86
| |
| | 711.628
|-
| |
| | 16/15
| | 711.731
|-
| | 70\118
| |
| | 711.864
|-
| | 19\32
| |
| | 712.500
|-
| | 44\74
| |
| | 713.5135
|-
| |
| | 13/10
| | 713.553
|-
| | 25\42
| |
| | 714.286
|-
| | 31\52
| |
| | 715.385
|-
| |
| | 8/7
| | 715.587
|-
| | 6\10
| |
| | 720.000
|}


&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x-Interval chains-Pajarous"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Pajarous&lt;/h3&gt;
==References==
<ul><li>Erlich, Paul. "Tuning, Tonality and 22-Tone Temperament." Xenharmonicon 17, 1998. [http://sethares.engr.wisc.edu/paperspdf/Erlich-22.pdf http://sethares.engr.wisc.edu/paperspdf/Erlich-22.pdf]</li></ul>


&lt;table class="wiki_table"&gt;
=Music=
    &lt;tr&gt;
[http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/12-22hexachordal%20Dirge.mp3 12-22hexachordal Dirge] and
        &lt;td&gt;432.96&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;542.54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;652.11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;761.69&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;871.27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;980.85&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1090.42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0.&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;109.58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;219.15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;328.73&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;438.31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;547.89&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;657.46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;767.04&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;18/11~5/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/4~16/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1/1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/8~8/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6/5~11/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/7&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1032.96&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1142.54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;52.11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;161.69&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;271.27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;380.85&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;490.42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;600.&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;709.58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;819.15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;928.73&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1038.31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1147.89&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;57.46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;167.04&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20/11&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;12/11~10/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/5~10/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/5~11/6&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;11/10&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
[http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/12-22hexachordal%20Sonatina.mp3 12-22hexachordal Sonatina] both by [[Joel_Grant_Taylor|Joel Grant Taylor]], in the hexachordal dodecatonic MODMOS.
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x-MOSes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;MOSes&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x-MOSes-10-note (proper)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;10-note (proper)&lt;/h3&gt;
See &lt;a class="wiki_link" href="/2L%208s"&gt;2L 8s&lt;/a&gt;.&lt;br /&gt;
The true MOS is called the &amp;quot;symmetric&amp;quot; decatonic scale, because it repeats exactly at the half-octave, so the symmetric scale starting from 7/5~10/7 is the same as the symmetric scale starting from 1/1. The near-MOS, LsssLsssss, in which only the 5-step interval violates the &amp;quot;no more than 2 intervals per class&amp;quot; rule, is called the &amp;quot;pentachordal&amp;quot; decatonic, because it consists of two identical &amp;quot;pentachords&amp;quot; plus a split 9/8~8/7 whole tone to complete the octave.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="x-MOSes-12-note (proper)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;12-note (proper)&lt;/h3&gt;
See &lt;a class="wiki_link" href="/10L%202s"&gt;10L 2s&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="x-Spectrum of Pajara Tunings by Eigenmonzos"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Spectrum of Pajara Tunings by Eigenmonzos&lt;/h2&gt;


&lt;table class="wiki_table"&gt;
[http://micro.soonlabel.com/22-ET/20120616-12-22h.scl-smoke-filled-bar.mp3 Smoke Filled Bar] by [http://chrisvaisvil.com/?p=2403 Chris Vaisvil], also in 12-22h.
    &lt;tr&gt;
        &lt;th&gt;EDO degree&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Eigenmonzo&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Decatonic seventh&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;700.000&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;701.955&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;41\70&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;702.857&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;34\58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;703.448&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;61\104&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;703.846&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;27\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;704.348&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;704.377&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;704.399&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;74\126&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;704.762&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;47\80&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;705.000&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;114\194&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;705.155&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;705.214 (5 and 15 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;67\114&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;705.263&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;87\148&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;705.405&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20\34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;705.882&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;93\158&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;706.329&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;73\124&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;706.452&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;126\214&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;706.542&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;706.574&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;53\90&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;706.667&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;139\236&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;706.780&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;706.843 (7 and 11 limit POTT)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;86\146&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;706.849&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;119\202&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;706.931&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33\56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;707.143&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;707.234&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;112\190&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;707.368&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;707.390&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;79\134&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;707.463&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;125\212&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;707.547&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;46\78&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;707.692&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;105\178&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;707.865&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;59\100&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;708.000&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;708.114&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;72\122&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;708.196&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;708.749 (11 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;708.771&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13\22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;709.091&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;58\98&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;710.204&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;45\76&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;710.526&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;122\206&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;710.680&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;77\130&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;710.769&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;109\184&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;710.870&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.043 (7 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32\54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.111&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.151 (13 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;83\140&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.429&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;51\86&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.628&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16/15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.731&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;70\118&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.864&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19\32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;712.500&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;44\74&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;713.5135&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;713.553&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;25\42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;714.286&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;31\52&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;715.385&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;715.587&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;720.000&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
[https://soundcloud.com/jdfreivald/chord-sequence-in-paul-erlichs Chord Sequence in Paul Erlich's Decatonic Major] by Jake Freivald
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="x-References"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;References&lt;/h2&gt;
[[Category:erlich]]
&lt;ul&gt;&lt;li&gt;Erlich, Paul. &amp;quot;Tuning, Tonality and 22-Tone Temperament.&amp;quot; Xenharmonicon 17, 1998. &lt;a class="wiki_link_ext" href="http://sethares.engr.wisc.edu/paperspdf/Erlich-22.pdf" rel="nofollow"&gt;http://sethares.engr.wisc.edu/paperspdf/Erlich-22.pdf&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
[[Category:pajara]]
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc9"&gt;&lt;a name="Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Music&lt;/h1&gt;
[[Category:temperament]]
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/12-22hexachordal%20Dirge.mp3" rel="nofollow"&gt;12-22hexachordal Dirge&lt;/a&gt; and&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/12-22hexachordal%20Sonatina.mp3" rel="nofollow"&gt;12-22hexachordal Sonatina&lt;/a&gt; both by &lt;a class="wiki_link" href="/Joel%20Grant%20Taylor"&gt;Joel Grant Taylor&lt;/a&gt;, in the hexachordal dodecatonic MODMOS.&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/22-ET/20120616-12-22h.scl-smoke-filled-bar.mp3" rel="nofollow"&gt;Smoke Filled Bar&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=2403" rel="nofollow"&gt;Chris Vaisvil&lt;/a&gt;, also in 12-22h.&lt;br /&gt;
&lt;a class="wiki_link_ext" href="https://soundcloud.com/jdfreivald/chord-sequence-in-paul-erlichs" rel="nofollow"&gt;Chord Sequence in Paul Erlich's Decatonic Major&lt;/a&gt; by Jake Freivald&lt;/body&gt;&lt;/html&gt;</pre></div>
Retrieved from "https://en.xen.wiki/w/Pajara"