List of MOS scales in 31edo

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=31edo MOS Scales= 

Since 31 is a prime number, any interval of a 31-tone equal scale ([[31edo|31 equal divisions of the octave]] or 31 equal divisions of a non-octave interval), when stacked, will continue generating new intervals until all 31 tones have been included. Thus, it is ripe for moment of symmetry scalesmithery. The diagram below shows every generator from 1\31 (one degree of 31edo) to 15\31 (15 degrees of 31edo), and two [[MOSScales|moment of symmetry scales]] that one can produce with that generator. The bold lines outline a scale with ten or fewer tones; the lighter lines add some more tones. The exact stopping-point of the generation process in these examples is, admittedly, somewhat arbitrary. Scales with a greater number of tones can be produced by continuing the generating process, until all 31 tones have been included.

[[image:31edo_mos_families.jpg]]
[[file:31edo mos families.pdf]]
Note that many of the names above are outdated or just plain wrong.

----

==MOS Scales of 31edo by cardinality== 

===Tritonic=== 

Slender[3] 1 1 29
Valentine[3] 2 2 27
Miracle[3] 3 3 25
Nusecond[3] 4 4 23
Hemithirds[3] 5 5 21
Mothra[3] 6 6 19
Orwell[3] 7 7 17
Myna[3] 8 8 15
Mohajira[3] 9 9 13
Würschmidt[3] 10 10 11
Squares[3] 11 11 9
Semisept[3] 12 12 7
Meantone[3] 13 13 5
Casablanca[3] 14 14 3
Tritonic[3] 15 15 1

===Tetratonic=== 

Slender[4] 1 1 1 28
Valentine[4] 2 2 2 25
Miracle[4] 3 3 3 22
Nusecond[4] 4 4 4 19
Hemithirds[4] 5 5 5 16
Mothra[4] 6 6 6 13
Orwell[4] 7 7 7 10
Myna[4] 8 8 8 7
Mohajira[4] 9 9 9 4
Würschmidt[4] 10 10 10 1

===Pentatonic=== 

Slender[5] 1 1 1 1 27
Valentine[5] 2 2 2 2 23
Miracle[5] 3 3 3 3 19
Nusecond[5] 4 4 4 4 15
Hemithirds[5] 5 5 5 5 11
Mothra[5] 6 6 6 6 7
Orwell[5] 7 7 7 7 3
Squares[5] 2 9 2 9 9
Semisept[5] 5 7 5 7 7
Meantone[5] 8 5 8 5 5
Casablanca[5] 11 3 11 3 3
Tritonic[5] 14 1 14 1 1

===Hexatonic=== 

Slender[6] 1 1 1 1 1 26
Valentine[6] 2 2 2 2 2 21
Miracle[6] 3 3 3 3 3 16
Nusecond[6] 4 4 4 4 4 11
Hemithirds[6] 5 5 5 5 5 6
Mothra[6] 6 6 6 6 6 1

===Heptatonic=== 

Slender[7] 1 1 1 1 1 1 25
Valentine[7] 2 2 2 2 2 2 19
Miracle[7] 3 3 3 3 3 3 13
Nusecond[7] 4 4 4 4 4 4 7
Hemithirds[7] 5 5 5 5 5 5 1
Myna[7] 1 7 1 7 1 7 7
Mohajira[7] 5 4 5 4 5 4 4
Würschmidt[7] 9 1 9 1 9 1 1
Meantone[7] 3 5 5 3 5 5 5
Casablanca[7] 8 3 3 8 3 3 3
Tritonic[7] 13 1 1 13 1 1 1

===Octatonic=== 

Slender[8] 1 1 1 1 1 1 1 24
Valentine[8] 2 2 2 2 2 2 2 17
Miracle[8] 3 3 3 3 3 3 3 10
Nusecond[8] 4 4 4 4 4 4 4 3
Squares[8] 2 2 7 2 2 7 2 7
Semisept[8] 5 5 2 5 5 2 5 2

===Nonatonic=== 

Slender[9] 1 1 1 1 1 1 1 1 23
Valentine[9] 2 2 2 2 2 2 2 2 15
Miracle[9] 3 3 3 3 3 3 3 3 7
Orwell[9] 4 3 4 3 4 3 4 3 3
Casablanca[9] 5 3 3 3 5 3 3 3 3
Tritonic[9] 12 1 1 1 12 1 1 1 1

===Decatonic=== 

Slender[10] 1 1 1 1 1 1 1 1 1 22
Valentine[10] 2 2 2 2 2 2 2 2 2 13
Miracle[10] 3 3 3 3 3 3 3 3 3 4
Mohajira[10] 1 4 4 1 4 4 1 4 4 4
Würschmidt[10] 8 1 1 8 1 1 8 1 1 1

===Hendecatonic=== 

Slender[11] 1 1 1 1 1 1 1 1 1 1 21
Valentine[11] 2 2 2 2 2 2 2 2 2 2 11
Miracle[11] 3 3 3 3 3 3 3 3 3 3 1
Mothra[11] 5 1 5 1 5 1 5 1 5 1 1
Myna[11] 1 1 6 1 1 6 1 1 6 1 6
Squares[11] 2 2 2 5 2 2 2 5 2 2 5
Casablanca[11] 2 3 3 3 3 2 3 3 3 3 3
Tritonic[11] 11 1 1 1 1 11 1 1 1 1 1

===Dodecatonic=== 

Slender[12] 1 1 1 1 1 1 1 1 1 1 1 20
Valentine[12] 2 2 2 2 2 2 2 2 2 2 2 9
Meantone[12] 3 3 2 3 2 3 3 2 3 2 3 2

===Tridecatonic=== 

Slender[13] 1 1 1 1 1 1 1 1 1 1 1 1 19
Valentine[13] 2 2 2 2 2 2 2 2 2 2 2 7
Hemithirds[13] 4 1 4 1 4 1 4 1 4 1 4 1 1
Orwell[13] 1 3 3 1 3 3 1 3 3 1 3 3 3
Würschmidt[13] 7 1 1 1 7 1 1 1 7 1 1 1 1
Semisept[13] 3 2 3 2 2 3 2 3 2 2 3 2 2
Tritonic[13] 10 1 1 1 1 1 10 1 1 1 1 1 1

===14-tone=== 

Slender[14] 1 1 1 1 1 1 1 1 1 1 1 1 1 18
Valentine[14] 2 2 2 2 2 2 2 2 2 2 2 2 2 5
Squares[14] 2 2 2 2 3 2 2 2 2 3 2 2 2 3

===15-tone=== 

Slender[15] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 17
Valentine[15] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3
Nusecond[15] 1 3 1 3 1 3 1 3 1 3 1 3 1 3 3
Myna[15] 1 1 1 5 1 1 1 5 1 1 1 5 1 1 5
Tritonic[15] 9 1 1 1 1 1 1 9 1 1 1 1 1 1 1

===16-tone=== 

Slender[16] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 16
Valentine[16] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
Mothra[16] 4 1 1 4 1 1 4 1 1 4 1 1 4 1 1 1
Würschmidt[16] 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 1

===17-tone=== 

Slender[17] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 15
Mohajira[17] 1 1 3 1 3 1 1 3 1 3 1 1 3 1 3 1 3
Squares[17] 2 2 2 2 2 1 2 2 2 2 2 1 2 2 2 2 1
Tritonic[17] 8 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1

===18-tone=== 

Slender[18] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 14
Semisept[18] 1 2 2 1 2 2 2 1 2 2 1 2 2 2 1 2 2 2

===19-tone=== 

Slender[19] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 13
Hemithirds[19] 3 1 1 3 1 1 3 1 1 3 1 1 3 1 1 3 1 1 1
Myna[19] 1 1 1 1 4 1 1 1 1 4 1 1 1 1 4 1 1 1 4
Würschmidt[19] 5 1 1 1 1 1 5 1 1 1 1 1 5 1 1 1 1 1 1
Meantone[19] 1 2 1 2 2 1 2 2 1 2 1 2 2 1 2 2 1 2 2
Tritonic[19] 7 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1

===20-tone=== 

Slender[20] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 12
Casablanca[20] 2 2 1 2 1 2 1 2 1 2 2 1 2 1 2 1 2 1 2 1

===21-tone=== 

Slender[21] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11
Miracle[21] 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 1
Mothra[21] 3 1 1 1 3 1 1 1 3 1 1 1 3 1 1 1 3 1 1 1 1
Tritonic[21] 6 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1

===22-tone=== 

Slender[22] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 10
Orwell[22] 1 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 2
Würschmidt[22] 4 1 1 1 1 1 1 4 1 1 1 1 1 1 4 1 1 1 1 1 1 1

===23-tone=== 

Slender[23] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9
Nusecond[23] 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 2
Myna[23] 1 1 1 1 1 3 1 1 1 1 1 3 1 1 1 1 1 3 1 1 1 1 3
Tritonic[23] 5 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1

===24-tone=== 

Slender[24] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8
Mohajira[24] 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 2

===25-tone=== 

Slender[25] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7
Hemithirds[25] 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 1
Würschmidt[25] 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1
Tritonic[25] 4 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1

===26-tone=== 

Slender[26] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6
Mothra[26] 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1

===27-tone=== 

Slender[27] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5
Myna[27] 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 2
Tritonic[27] 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1

===28-tone=== 

Slender[28] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4
Würschmidt[28] 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1

===29-tone=== 

Slender[29] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3
Tritonic[29] 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1

===30-tone=== 

Slender[30] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2

Original HTML content:

<html><head><title>31edo MOS scales</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x31edo MOS Scales"></a><!-- ws:end:WikiTextHeadingRule:0 -->31edo MOS Scales</h1>
 <br />
Since 31 is a prime number, any interval of a 31-tone equal scale (<a class="wiki_link" href="/31edo">31 equal divisions of the octave</a> or 31 equal divisions of a non-octave interval), when stacked, will continue generating new intervals until all 31 tones have been included. Thus, it is ripe for moment of symmetry scalesmithery. The diagram below shows every generator from 1\31 (one degree of 31edo) to 15\31 (15 degrees of 31edo), and two <a class="wiki_link" href="/MOSScales">moment of symmetry scales</a> that one can produce with that generator. The bold lines outline a scale with ten or fewer tones; the lighter lines add some more tones. The exact stopping-point of the generation process in these examples is, admittedly, somewhat arbitrary. Scales with a greater number of tones can be produced by continuing the generating process, until all 31 tones have been included.<br />
<br />
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Note that many of the names above are outdated or just plain wrong.<br />
<br />
<hr />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality"></a><!-- ws:end:WikiTextHeadingRule:2 -->MOS Scales of 31edo by cardinality</h2>
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<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Tritonic"></a><!-- ws:end:WikiTextHeadingRule:4 -->Tritonic</h3>
 <br />
Slender[3] 1 1 29<br />
Valentine[3] 2 2 27<br />
Miracle[3] 3 3 25<br />
Nusecond[3] 4 4 23<br />
Hemithirds[3] 5 5 21<br />
Mothra[3] 6 6 19<br />
Orwell[3] 7 7 17<br />
Myna[3] 8 8 15<br />
Mohajira[3] 9 9 13<br />
Würschmidt[3] 10 10 11<br />
Squares[3] 11 11 9<br />
Semisept[3] 12 12 7<br />
Meantone[3] 13 13 5<br />
Casablanca[3] 14 14 3<br />
Tritonic[3] 15 15 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Tetratonic"></a><!-- ws:end:WikiTextHeadingRule:6 -->Tetratonic</h3>
 <br />
Slender[4] 1 1 1 28<br />
Valentine[4] 2 2 2 25<br />
Miracle[4] 3 3 3 22<br />
Nusecond[4] 4 4 4 19<br />
Hemithirds[4] 5 5 5 16<br />
Mothra[4] 6 6 6 13<br />
Orwell[4] 7 7 7 10<br />
Myna[4] 8 8 8 7<br />
Mohajira[4] 9 9 9 4<br />
Würschmidt[4] 10 10 10 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Pentatonic"></a><!-- ws:end:WikiTextHeadingRule:8 -->Pentatonic</h3>
 <br />
Slender[5] 1 1 1 1 27<br />
Valentine[5] 2 2 2 2 23<br />
Miracle[5] 3 3 3 3 19<br />
Nusecond[5] 4 4 4 4 15<br />
Hemithirds[5] 5 5 5 5 11<br />
Mothra[5] 6 6 6 6 7<br />
Orwell[5] 7 7 7 7 3<br />
Squares[5] 2 9 2 9 9<br />
Semisept[5] 5 7 5 7 7<br />
Meantone[5] 8 5 8 5 5<br />
Casablanca[5] 11 3 11 3 3<br />
Tritonic[5] 14 1 14 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Hexatonic"></a><!-- ws:end:WikiTextHeadingRule:10 -->Hexatonic</h3>
 <br />
Slender[6] 1 1 1 1 1 26<br />
Valentine[6] 2 2 2 2 2 21<br />
Miracle[6] 3 3 3 3 3 16<br />
Nusecond[6] 4 4 4 4 4 11<br />
Hemithirds[6] 5 5 5 5 5 6<br />
Mothra[6] 6 6 6 6 6 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h3&gt; --><h3 id="toc6"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Heptatonic"></a><!-- ws:end:WikiTextHeadingRule:12 -->Heptatonic</h3>
 <br />
Slender[7] 1 1 1 1 1 1 25<br />
Valentine[7] 2 2 2 2 2 2 19<br />
Miracle[7] 3 3 3 3 3 3 13<br />
Nusecond[7] 4 4 4 4 4 4 7<br />
Hemithirds[7] 5 5 5 5 5 5 1<br />
Myna[7] 1 7 1 7 1 7 7<br />
Mohajira[7] 5 4 5 4 5 4 4<br />
Würschmidt[7] 9 1 9 1 9 1 1<br />
Meantone[7] 3 5 5 3 5 5 5<br />
Casablanca[7] 8 3 3 8 3 3 3<br />
Tritonic[7] 13 1 1 13 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Octatonic"></a><!-- ws:end:WikiTextHeadingRule:14 -->Octatonic</h3>
 <br />
Slender[8] 1 1 1 1 1 1 1 24<br />
Valentine[8] 2 2 2 2 2 2 2 17<br />
Miracle[8] 3 3 3 3 3 3 3 10<br />
Nusecond[8] 4 4 4 4 4 4 4 3<br />
Squares[8] 2 2 7 2 2 7 2 7<br />
Semisept[8] 5 5 2 5 5 2 5 2<br />
<br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h3&gt; --><h3 id="toc8"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Nonatonic"></a><!-- ws:end:WikiTextHeadingRule:16 -->Nonatonic</h3>
 <br />
Slender[9] 1 1 1 1 1 1 1 1 23<br />
Valentine[9] 2 2 2 2 2 2 2 2 15<br />
Miracle[9] 3 3 3 3 3 3 3 3 7<br />
Orwell[9] 4 3 4 3 4 3 4 3 3<br />
Casablanca[9] 5 3 3 3 5 3 3 3 3<br />
Tritonic[9] 12 1 1 1 12 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:18:&lt;h3&gt; --><h3 id="toc9"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Decatonic"></a><!-- ws:end:WikiTextHeadingRule:18 -->Decatonic</h3>
 <br />
Slender[10] 1 1 1 1 1 1 1 1 1 22<br />
Valentine[10] 2 2 2 2 2 2 2 2 2 13<br />
Miracle[10] 3 3 3 3 3 3 3 3 3 4<br />
Mohajira[10] 1 4 4 1 4 4 1 4 4 4<br />
Würschmidt[10] 8 1 1 8 1 1 8 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:20:&lt;h3&gt; --><h3 id="toc10"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Hendecatonic"></a><!-- ws:end:WikiTextHeadingRule:20 -->Hendecatonic</h3>
 <br />
Slender[11] 1 1 1 1 1 1 1 1 1 1 21<br />
Valentine[11] 2 2 2 2 2 2 2 2 2 2 11<br />
Miracle[11] 3 3 3 3 3 3 3 3 3 3 1<br />
Mothra[11] 5 1 5 1 5 1 5 1 5 1 1<br />
Myna[11] 1 1 6 1 1 6 1 1 6 1 6<br />
Squares[11] 2 2 2 5 2 2 2 5 2 2 5<br />
Casablanca[11] 2 3 3 3 3 2 3 3 3 3 3<br />
Tritonic[11] 11 1 1 1 1 11 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:22:&lt;h3&gt; --><h3 id="toc11"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Dodecatonic"></a><!-- ws:end:WikiTextHeadingRule:22 -->Dodecatonic</h3>
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Slender[12] 1 1 1 1 1 1 1 1 1 1 1 20<br />
Valentine[12] 2 2 2 2 2 2 2 2 2 2 2 9<br />
Meantone[12] 3 3 2 3 2 3 3 2 3 2 3 2<br />
<br />
<!-- ws:start:WikiTextHeadingRule:24:&lt;h3&gt; --><h3 id="toc12"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Tridecatonic"></a><!-- ws:end:WikiTextHeadingRule:24 -->Tridecatonic</h3>
 <br />
Slender[13] 1 1 1 1 1 1 1 1 1 1 1 1 19<br />
Valentine[13] 2 2 2 2 2 2 2 2 2 2 2 7<br />
Hemithirds[13] 4 1 4 1 4 1 4 1 4 1 4 1 1<br />
Orwell[13] 1 3 3 1 3 3 1 3 3 1 3 3 3<br />
Würschmidt[13] 7 1 1 1 7 1 1 1 7 1 1 1 1<br />
Semisept[13] 3 2 3 2 2 3 2 3 2 2 3 2 2<br />
Tritonic[13] 10 1 1 1 1 1 10 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:26:&lt;h3&gt; --><h3 id="toc13"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-14-tone"></a><!-- ws:end:WikiTextHeadingRule:26 -->14-tone</h3>
 <br />
Slender[14] 1 1 1 1 1 1 1 1 1 1 1 1 1 18<br />
Valentine[14] 2 2 2 2 2 2 2 2 2 2 2 2 2 5<br />
Squares[14] 2 2 2 2 3 2 2 2 2 3 2 2 2 3<br />
<br />
<!-- ws:start:WikiTextHeadingRule:28:&lt;h3&gt; --><h3 id="toc14"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-15-tone"></a><!-- ws:end:WikiTextHeadingRule:28 -->15-tone</h3>
 <br />
Slender[15] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 17<br />
Valentine[15] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3<br />
Nusecond[15] 1 3 1 3 1 3 1 3 1 3 1 3 1 3 3<br />
Myna[15] 1 1 1 5 1 1 1 5 1 1 1 5 1 1 5<br />
Tritonic[15] 9 1 1 1 1 1 1 9 1 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:30:&lt;h3&gt; --><h3 id="toc15"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-16-tone"></a><!-- ws:end:WikiTextHeadingRule:30 -->16-tone</h3>
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Slender[16] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 16<br />
Valentine[16] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1<br />
Mothra[16] 4 1 1 4 1 1 4 1 1 4 1 1 4 1 1 1<br />
Würschmidt[16] 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:32:&lt;h3&gt; --><h3 id="toc16"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-17-tone"></a><!-- ws:end:WikiTextHeadingRule:32 -->17-tone</h3>
 <br />
Slender[17] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 15<br />
Mohajira[17] 1 1 3 1 3 1 1 3 1 3 1 1 3 1 3 1 3<br />
Squares[17] 2 2 2 2 2 1 2 2 2 2 2 1 2 2 2 2 1<br />
Tritonic[17] 8 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:34:&lt;h3&gt; --><h3 id="toc17"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-18-tone"></a><!-- ws:end:WikiTextHeadingRule:34 -->18-tone</h3>
 <br />
Slender[18] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 14<br />
Semisept[18] 1 2 2 1 2 2 2 1 2 2 1 2 2 2 1 2 2 2<br />
<br />
<!-- ws:start:WikiTextHeadingRule:36:&lt;h3&gt; --><h3 id="toc18"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-19-tone"></a><!-- ws:end:WikiTextHeadingRule:36 -->19-tone</h3>
 <br />
Slender[19] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 13<br />
Hemithirds[19] 3 1 1 3 1 1 3 1 1 3 1 1 3 1 1 3 1 1 1<br />
Myna[19] 1 1 1 1 4 1 1 1 1 4 1 1 1 1 4 1 1 1 4<br />
Würschmidt[19] 5 1 1 1 1 1 5 1 1 1 1 1 5 1 1 1 1 1 1<br />
Meantone[19] 1 2 1 2 2 1 2 2 1 2 1 2 2 1 2 2 1 2 2<br />
Tritonic[19] 7 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:38:&lt;h3&gt; --><h3 id="toc19"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-20-tone"></a><!-- ws:end:WikiTextHeadingRule:38 -->20-tone</h3>
 <br />
Slender[20] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 12<br />
Casablanca[20] 2 2 1 2 1 2 1 2 1 2 2 1 2 1 2 1 2 1 2 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:40:&lt;h3&gt; --><h3 id="toc20"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-21-tone"></a><!-- ws:end:WikiTextHeadingRule:40 -->21-tone</h3>
 <br />
Slender[21] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11<br />
Miracle[21] 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 1<br />
Mothra[21] 3 1 1 1 3 1 1 1 3 1 1 1 3 1 1 1 3 1 1 1 1<br />
Tritonic[21] 6 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:42:&lt;h3&gt; --><h3 id="toc21"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-22-tone"></a><!-- ws:end:WikiTextHeadingRule:42 -->22-tone</h3>
 <br />
Slender[22] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 10<br />
Orwell[22] 1 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 2<br />
Würschmidt[22] 4 1 1 1 1 1 1 4 1 1 1 1 1 1 4 1 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:44:&lt;h3&gt; --><h3 id="toc22"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-23-tone"></a><!-- ws:end:WikiTextHeadingRule:44 -->23-tone</h3>
 <br />
Slender[23] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9<br />
Nusecond[23] 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 2<br />
Myna[23] 1 1 1 1 1 3 1 1 1 1 1 3 1 1 1 1 1 3 1 1 1 1 3<br />
Tritonic[23] 5 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:46:&lt;h3&gt; --><h3 id="toc23"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-24-tone"></a><!-- ws:end:WikiTextHeadingRule:46 -->24-tone</h3>
 <br />
Slender[24] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8<br />
Mohajira[24] 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 2<br />
<br />
<!-- ws:start:WikiTextHeadingRule:48:&lt;h3&gt; --><h3 id="toc24"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-25-tone"></a><!-- ws:end:WikiTextHeadingRule:48 -->25-tone</h3>
 <br />
Slender[25] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7<br />
Hemithirds[25] 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 1<br />
Würschmidt[25] 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1<br />
Tritonic[25] 4 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:50:&lt;h3&gt; --><h3 id="toc25"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-26-tone"></a><!-- ws:end:WikiTextHeadingRule:50 -->26-tone</h3>
 <br />
Slender[26] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6<br />
Mothra[26] 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:52:&lt;h3&gt; --><h3 id="toc26"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-27-tone"></a><!-- ws:end:WikiTextHeadingRule:52 -->27-tone</h3>
 <br />
Slender[27] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5<br />
Myna[27] 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 2<br />
Tritonic[27] 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:54:&lt;h3&gt; --><h3 id="toc27"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-28-tone"></a><!-- ws:end:WikiTextHeadingRule:54 -->28-tone</h3>
 <br />
Slender[28] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4<br />
Würschmidt[28] 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:56:&lt;h3&gt; --><h3 id="toc28"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-29-tone"></a><!-- ws:end:WikiTextHeadingRule:56 -->29-tone</h3>
 <br />
Slender[29] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3<br />
Tritonic[29] 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:58:&lt;h3&gt; --><h3 id="toc29"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-30-tone"></a><!-- ws:end:WikiTextHeadingRule:58 -->30-tone</h3>
 <br />
Slender[30] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2</body></html>
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