Xenharmonic Wiki

31edo modes

Revision as of 17:29, 14 September 2011 by Wikispaces>mikesheiman (**Imported revision 254106044 - Original comment: **)

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Taken originally from Scala, Manuel Op De Coul, this is a user-editable list of modes of [[31edo]]. The numbers indicate successive intervals, in dieses. Strictly proper scales of seven notes can be found [[Strictly proper 7-note 31edo scales|here]].


=Nothing special= 
Or, to some, the only important thing.

|| {{**2 3 3 2 3 2 3 2 3 3 2 3**}} || Meantone Chromatic (53/220-comma) ||
|| {{**5 5 3 5 5 5 3**}} || Thirty-one tone Major, Intense Diatonic Lydian, M.Ionian ||
|| {{**5 3 5 5 3 5 5**}} || Thirty-one tone Natural Minor, Intense Diatonic Hypodorian, Aeolian ||
|| {{**5 3 5 5 5 5 3**}} || Thirty-one tone Melodic Minor ||
|| {{**5 3 5 5 3 7 3**}} || Thirty-one tone Harmonic Minor ||
|| {{**5 5 3 5 3 7 3**}} || Thirty-one tone Harmonic Major ||
|| {{**5 5 3 5 3 5 5**}} || Thirty-one tone Major-Minor ||
|| {{**5 2 6 5 2 5 6**}} || "Septimal" Natural Minor ||

=Euler-Fokker genera= 

Boxy shapes from the [3,5,7] lattice.

|| {{**5 8 5 13**}} || Genus primum ||
|| {{**10 3 5 5 5 3**}} || Genus secundum ||
|| {{**8 2 8 3 7 3**}} || Genus tertium ||
|| {{**10 10 10 1**}} || Genus quartum ||
|| {{**5 7 6 7 5 1**}} || Genus quintum ||
|| {{**4 6 2 6 4 3 3 3**}} || Genus sextum ||
|| {{**4 6 5 6 4 6**}} || Genus septimum ||
|| {{**6 6 6 1 6 6**}} || Genus octavum ||
|| {{**4 6 9 6 4 2**}} || Genus nonum ||
|| {{**13 6 6 6**}} || Genus decimum ||
|| {{**5 5 3 5 5 3 2 3**}} || Genus diatonicum ||
|| {{**3 5 2 3 5 3 2 5 3**}} || Genus chromaticum ||
|| {{**5 5 2 1 5 5 2 3 3**}} || Genus diatonicum cum septimis ||
|| {{**3 4 3 3 2 1 4 1 4 1 2 3**}} || Genus enharmonicum vocale ||
|| {{**2 2 4 2 2 3 3 3 1 3 3 3**}} || Genus enharmonicum instrumentale ||
|| {{**3 2 3 2 3 2 3 3 2 3 2 3**}} || Genus diatonico-chromaticum ||
|| {{**5 2 1 2 5 3 2 1 4 1 2 3**}} || Genus bichromaticum ||
|| {{**3 1 2 4 2 4 2 4 2 1 3 3**}} || Genus [3577] (Joel Mandelbaum //Andante cantabile//) ||

=Greek/tetrachord modes= 

|| {{**4 4 5 4 4 5 5**}} || Neutral Diatonic Mixolydian ||
|| {{**4 5 4 4 5 5 4**}} || Neutral Diatonic Lydian ||
|| {{**5 4 4 5 5 4 4**}} || Neutral Diatonic Phrygian ||
|| {{**4 4 5 5 4 4 5**}} || Neutral Diatonic Dorian ||
|| {{**4 5 5 4 4 5 4**}} || Neutral Diatonic Hypolydian ||
|| {{**5 5 4 4 5 4 4**}} || Neutral Diatonic Hypophrygian ||
|| {{**5 4 4 5 4 4 5**}} || Neutral Diatonic Hypodorian ||
|| {{**4 5 4 4 5 4 5**}} || Neutral Mixolydian ||
|| {{**5 4 4 5 4 5 4**}} || Neutral Lydian ||
|| {{**4 4 5 4 5 4 5**}} || Neutral Phrygian ||
|| {{**4 5 4 5 4 5 4**}} || Neutral Dorian ||
|| {{**5 4 5 4 5 4 4**}} || Neutral Hypolydian ||
|| {{**4 5 4 5 4 4 5**}} || Neutral Hypophrygian ||
|| {{**5 4 5 4 4 5 4**}} || Neutral Hypodorian ||
|| {{**2 2 9 2 2 9 5**}} || Hemiolic Chromatic Mixolydian ||
|| {{**2 9 2 2 9 5 2**}} || Hemiolic Chromatic Lydian ||
|| {{**9 2 2 9 5 2 2**}} || Hemiolic Chromatic Phrygian ||
|| {{**2 2 9 5 2 2 9**}} || Hemiolic Chromatic Dorian ||
|| {{**2 9 5 2 2 9 2**}} || Hemiolic Chromatic Hypolydian ||
|| {{**9 5 2 2 9 2 2**}} || Hemiolic Chromatic Hypophrygian ||
|| {{**5 2 2 9 2 2 9**}} || Hemiolic Chromatic Hypodorian ||
|| {{**2 3 8 2 3 8 5**}} || Ratio 2:3 Chromatic Mixolydian ||
|| {{**3 8 2 3 8 5 2**}} || Ratio 2:3 Chromatic Lydian ||
|| {{**8 2 3 8 5 2 3**}} || Ratio 2:3 Chromatic Phrygian ||
|| {{**2 3 8 5 2 3 8**}} || Ratio 2:3 Chromatic Dorian ||
|| {{**3 8 5 2 3 8 2**}} || Ratio 2:3 Chromatic Hypolydian ||
|| {{**8 5 2 3 8 2 3**}} || Ratio 2:3 Chromatic Hypophrygian ||
|| {{**5 2 3 8 2 3 8**}} || Ratio 2:3 Chromatic Hypodorian ||
|| {{**3 5 5 3 5 5 5**}} || Intense Diatonic Mixolydian, M.Locrian ||
|| {{**5 3 5 5 5 3 5**}} || Intense Diatonic Phrygian, M.Dorian ||
|| {{**3 5 5 5 3 5 5**}} || Intense Diatonic Dorian, M.Phrygian ||
|| {{**5 5 5 3 5 5 3**}} || Intense Diatonic Hypolydian, M.Lydian ||
|| {{**5 5 3 5 5 3 5**}} || Intense Diatonic Hypophrygian, M.Mixolydian ||
|| {{**2 5 6 2 5 6 5**}} || Soft Diatonic Mixolydian ||
|| {{**5 6 2 5 6 5 2**}} || Soft Diatonic Lydian ||
|| {{**6 2 5 6 5 2 5**}} || Soft Diatonic Phrygian ||
|| {{**2 5 6 5 2 5 6**}} || Soft Diatonic Dorian ||
|| {{**5 6 5 2 5 6 2**}} || Soft Diatonic Hypolydian ||
|| {{**6 5 2 5 6 2 5**}} || Soft Diatonic Hypophrygian ||
|| {{**5 2 5 6 2 5 6**}} || Soft Diatonic Hypodorian ||
|| {{**1 2 10 1 2 10 5**}} || Enharmonic Mixolydian ||
|| {{**2 10 1 2 10 5 1**}} || Enharmonic Lydian ||
|| {{**10 1 2 10 5 1 2**}} || Enharmonic Phrygian ||
|| {{**1 2 10 5 1 2 10**}} || Enharmonic Dorian ||
|| {{**2 10 5 1 2 10 1**}} || Enharmonic Hypolydian ||
|| {{**10 5 1 2 10 1 2**}} || Enharmonic Hypophrygian ||
|| {{**5 1 2 10 1 2 10**}} || Enharmonic Hypodorian ||

=Of particular [[interscalar]] interest= 

|| {{**6 6 7 6 6**}} || Quasi-equal Pentatonic ||
|| {{**3 3 2 3 3 3 3 3 2 3 3**}} || near [[11edo]] ||

=Miscellaneous= 

|| {{**3 2 2 3 3 2 3 3 2 2 3 3**}} || Fokker 12-tone ||
|| {{**5 3 5 3 5 2 5 3**}} || Modus conjunctus ||
|| {{**3 5 2 5 3 5 3 5**}} || Octatonic ||
|| {{**3 3 4 3 5 3 4 3 3**}} || Hahn symmetric pentachordal ||
|| {{**3 4 3 3 5 3 4 3 3**}} || Hahn pentachordal ||
|| {{**4 4 2 5 3 3 4 3 3**}} || Hahn Nonatonic ||
|| {{**5 3 3 3 3 5 3 3 3**}} || Rothenberg Generalized Diatonic ||
|| {{**5 3 1 4 5 5 3 1 4**}} || Michael Sheiman's "Dimension" scale (Mohajira mixed with Meantone Diatonic) ||

=MOS and Cradle MOS= 

|| {{**4 5 4 5 4 5 4**}} || Neutral scale 7-note ||
|| {{**4 1 4 4 1 4 4 4 1 4**}} || Neutral scale 10-note ||
|| {{**4 1 4 4 4 1 4 4 1 4**}} || Breed 10-tone ||
|| {{**4 3 4 3 4 3 4 3 3**}} || Orwell[9] ||
|| {{**5 1 5 1 5 1 5 1 5 1 1**}} || de Vries 11-tone ||
|| {{**3 1 3 1 3 1 3 1 3 1 3 1 3 1 3**}} || Pseudo-Porcupine 15-note ||
|| {{**1 7 1 2 1 7 1 2 1 7 1**}} || Nested Bees ||
|| {{**4 2 4 2 4 2 4 3 3 3**}} || Lumma Decatonic ||
|| {{**2 5 2 2 5 2 2 2 5 2 2**}} || Secor/Barton no-fives ||

Original HTML content:

<html><head><title>31edo modes</title></head><body>Taken originally from Scala, Manuel Op De Coul, this is a user-editable list of modes of <a class="wiki_link" href="/31edo">31edo</a>. The numbers indicate successive intervals, in dieses. Strictly proper scales of seven notes can be found <a class="wiki_link" href="/Strictly%20proper%207-note%2031edo%20scales">here</a>.<br />
<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Nothing special"></a><!-- ws:end:WikiTextHeadingRule:0 -->Nothing special</h1>
 Or, to some, the only important thing.<br />
<br />


<table class="wiki_table">
    <tr>
        <td><tt><strong>2 3 3 2 3 2 3 2 3 3 2 3</strong></tt><br />
</td>
        <td>Meantone Chromatic (53/220-comma)<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 5 3 5 5 5 3</strong></tt><br />
</td>
        <td>Thirty-one tone Major, Intense Diatonic Lydian, M.Ionian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 3 5 5 3 5 5</strong></tt><br />
</td>
        <td>Thirty-one tone Natural Minor, Intense Diatonic Hypodorian, Aeolian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 3 5 5 5 5 3</strong></tt><br />
</td>
        <td>Thirty-one tone Melodic Minor<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 3 5 5 3 7 3</strong></tt><br />
</td>
        <td>Thirty-one tone Harmonic Minor<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 5 3 5 3 7 3</strong></tt><br />
</td>
        <td>Thirty-one tone Harmonic Major<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 5 3 5 3 5 5</strong></tt><br />
</td>
        <td>Thirty-one tone Major-Minor<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 2 6 5 2 5 6</strong></tt><br />
</td>
        <td>&quot;Septimal&quot; Natural Minor<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Euler-Fokker genera"></a><!-- ws:end:WikiTextHeadingRule:2 -->Euler-Fokker genera</h1>
 <br />
Boxy shapes from the [3,5,7] lattice.<br />
<br />


<table class="wiki_table">
    <tr>
        <td><tt><strong>5 8 5 13</strong></tt><br />
</td>
        <td>Genus primum<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>10 3 5 5 5 3</strong></tt><br />
</td>
        <td>Genus secundum<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>8 2 8 3 7 3</strong></tt><br />
</td>
        <td>Genus tertium<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>10 10 10 1</strong></tt><br />
</td>
        <td>Genus quartum<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 7 6 7 5 1</strong></tt><br />
</td>
        <td>Genus quintum<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>4 6 2 6 4 3 3 3</strong></tt><br />
</td>
        <td>Genus sextum<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>4 6 5 6 4 6</strong></tt><br />
</td>
        <td>Genus septimum<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>6 6 6 1 6 6</strong></tt><br />
</td>
        <td>Genus octavum<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>4 6 9 6 4 2</strong></tt><br />
</td>
        <td>Genus nonum<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>13 6 6 6</strong></tt><br />
</td>
        <td>Genus decimum<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 5 3 5 5 3 2 3</strong></tt><br />
</td>
        <td>Genus diatonicum<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>3 5 2 3 5 3 2 5 3</strong></tt><br />
</td>
        <td>Genus chromaticum<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 5 2 1 5 5 2 3 3</strong></tt><br />
</td>
        <td>Genus diatonicum cum septimis<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>3 4 3 3 2 1 4 1 4 1 2 3</strong></tt><br />
</td>
        <td>Genus enharmonicum vocale<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>2 2 4 2 2 3 3 3 1 3 3 3</strong></tt><br />
</td>
        <td>Genus enharmonicum instrumentale<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>3 2 3 2 3 2 3 3 2 3 2 3</strong></tt><br />
</td>
        <td>Genus diatonico-chromaticum<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 2 1 2 5 3 2 1 4 1 2 3</strong></tt><br />
</td>
        <td>Genus bichromaticum<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>3 1 2 4 2 4 2 4 2 1 3 3</strong></tt><br />
</td>
        <td>Genus [3577] (Joel Mandelbaum <em>Andante cantabile</em>)<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Greek/tetrachord modes"></a><!-- ws:end:WikiTextHeadingRule:4 -->Greek/tetrachord modes</h1>
 <br />


<table class="wiki_table">
    <tr>
        <td><tt><strong>4 4 5 4 4 5 5</strong></tt><br />
</td>
        <td>Neutral Diatonic Mixolydian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>4 5 4 4 5 5 4</strong></tt><br />
</td>
        <td>Neutral Diatonic Lydian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 4 4 5 5 4 4</strong></tt><br />
</td>
        <td>Neutral Diatonic Phrygian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>4 4 5 5 4 4 5</strong></tt><br />
</td>
        <td>Neutral Diatonic Dorian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>4 5 5 4 4 5 4</strong></tt><br />
</td>
        <td>Neutral Diatonic Hypolydian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 5 4 4 5 4 4</strong></tt><br />
</td>
        <td>Neutral Diatonic Hypophrygian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 4 4 5 4 4 5</strong></tt><br />
</td>
        <td>Neutral Diatonic Hypodorian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>4 5 4 4 5 4 5</strong></tt><br />
</td>
        <td>Neutral Mixolydian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 4 4 5 4 5 4</strong></tt><br />
</td>
        <td>Neutral Lydian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>4 4 5 4 5 4 5</strong></tt><br />
</td>
        <td>Neutral Phrygian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>4 5 4 5 4 5 4</strong></tt><br />
</td>
        <td>Neutral Dorian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 4 5 4 5 4 4</strong></tt><br />
</td>
        <td>Neutral Hypolydian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>4 5 4 5 4 4 5</strong></tt><br />
</td>
        <td>Neutral Hypophrygian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 4 5 4 4 5 4</strong></tt><br />
</td>
        <td>Neutral Hypodorian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>2 2 9 2 2 9 5</strong></tt><br />
</td>
        <td>Hemiolic Chromatic Mixolydian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>2 9 2 2 9 5 2</strong></tt><br />
</td>
        <td>Hemiolic Chromatic Lydian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>9 2 2 9 5 2 2</strong></tt><br />
</td>
        <td>Hemiolic Chromatic Phrygian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>2 2 9 5 2 2 9</strong></tt><br />
</td>
        <td>Hemiolic Chromatic Dorian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>2 9 5 2 2 9 2</strong></tt><br />
</td>
        <td>Hemiolic Chromatic Hypolydian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>9 5 2 2 9 2 2</strong></tt><br />
</td>
        <td>Hemiolic Chromatic Hypophrygian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 2 2 9 2 2 9</strong></tt><br />
</td>
        <td>Hemiolic Chromatic Hypodorian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>2 3 8 2 3 8 5</strong></tt><br />
</td>
        <td>Ratio 2:3 Chromatic Mixolydian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>3 8 2 3 8 5 2</strong></tt><br />
</td>
        <td>Ratio 2:3 Chromatic Lydian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>8 2 3 8 5 2 3</strong></tt><br />
</td>
        <td>Ratio 2:3 Chromatic Phrygian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>2 3 8 5 2 3 8</strong></tt><br />
</td>
        <td>Ratio 2:3 Chromatic Dorian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>3 8 5 2 3 8 2</strong></tt><br />
</td>
        <td>Ratio 2:3 Chromatic Hypolydian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>8 5 2 3 8 2 3</strong></tt><br />
</td>
        <td>Ratio 2:3 Chromatic Hypophrygian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 2 3 8 2 3 8</strong></tt><br />
</td>
        <td>Ratio 2:3 Chromatic Hypodorian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>3 5 5 3 5 5 5</strong></tt><br />
</td>
        <td>Intense Diatonic Mixolydian, M.Locrian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 3 5 5 5 3 5</strong></tt><br />
</td>
        <td>Intense Diatonic Phrygian, M.Dorian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>3 5 5 5 3 5 5</strong></tt><br />
</td>
        <td>Intense Diatonic Dorian, M.Phrygian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 5 5 3 5 5 3</strong></tt><br />
</td>
        <td>Intense Diatonic Hypolydian, M.Lydian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 5 3 5 5 3 5</strong></tt><br />
</td>
        <td>Intense Diatonic Hypophrygian, M.Mixolydian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>2 5 6 2 5 6 5</strong></tt><br />
</td>
        <td>Soft Diatonic Mixolydian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 6 2 5 6 5 2</strong></tt><br />
</td>
        <td>Soft Diatonic Lydian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>6 2 5 6 5 2 5</strong></tt><br />
</td>
        <td>Soft Diatonic Phrygian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>2 5 6 5 2 5 6</strong></tt><br />
</td>
        <td>Soft Diatonic Dorian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 6 5 2 5 6 2</strong></tt><br />
</td>
        <td>Soft Diatonic Hypolydian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>6 5 2 5 6 2 5</strong></tt><br />
</td>
        <td>Soft Diatonic Hypophrygian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 2 5 6 2 5 6</strong></tt><br />
</td>
        <td>Soft Diatonic Hypodorian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>1 2 10 1 2 10 5</strong></tt><br />
</td>
        <td>Enharmonic Mixolydian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>2 10 1 2 10 5 1</strong></tt><br />
</td>
        <td>Enharmonic Lydian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>10 1 2 10 5 1 2</strong></tt><br />
</td>
        <td>Enharmonic Phrygian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>1 2 10 5 1 2 10</strong></tt><br />
</td>
        <td>Enharmonic Dorian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>2 10 5 1 2 10 1</strong></tt><br />
</td>
        <td>Enharmonic Hypolydian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>10 5 1 2 10 1 2</strong></tt><br />
</td>
        <td>Enharmonic Hypophrygian<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 1 2 10 1 2 10</strong></tt><br />
</td>
        <td>Enharmonic Hypodorian<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Of particular interscalar interest"></a><!-- ws:end:WikiTextHeadingRule:6 -->Of particular <a class="wiki_link" href="/interscalar">interscalar</a> interest</h1>
 <br />


<table class="wiki_table">
    <tr>
        <td><tt><strong>6 6 7 6 6</strong></tt><br />
</td>
        <td>Quasi-equal Pentatonic<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>3 3 2 3 3 3 3 3 2 3 3</strong></tt><br />
</td>
        <td>near <a class="wiki_link" href="/11edo">11edo</a><br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Miscellaneous"></a><!-- ws:end:WikiTextHeadingRule:8 -->Miscellaneous</h1>
 <br />


<table class="wiki_table">
    <tr>
        <td><tt><strong>3 2 2 3 3 2 3 3 2 2 3 3</strong></tt><br />
</td>
        <td>Fokker 12-tone<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 3 5 3 5 2 5 3</strong></tt><br />
</td>
        <td>Modus conjunctus<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>3 5 2 5 3 5 3 5</strong></tt><br />
</td>
        <td>Octatonic<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>3 3 4 3 5 3 4 3 3</strong></tt><br />
</td>
        <td>Hahn symmetric pentachordal<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>3 4 3 3 5 3 4 3 3</strong></tt><br />
</td>
        <td>Hahn pentachordal<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>4 4 2 5 3 3 4 3 3</strong></tt><br />
</td>
        <td>Hahn Nonatonic<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 3 3 3 3 5 3 3 3</strong></tt><br />
</td>
        <td>Rothenberg Generalized Diatonic<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 3 1 4 5 5 3 1 4</strong></tt><br />
</td>
        <td>Michael Sheiman's &quot;Dimension&quot; scale (Mohajira mixed with Meantone Diatonic)<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="MOS and Cradle MOS"></a><!-- ws:end:WikiTextHeadingRule:10 -->MOS and Cradle MOS</h1>
 <br />


<table class="wiki_table">
    <tr>
        <td><tt><strong>4 5 4 5 4 5 4</strong></tt><br />
</td>
        <td>Neutral scale 7-note<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>4 1 4 4 1 4 4 4 1 4</strong></tt><br />
</td>
        <td>Neutral scale 10-note<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>4 1 4 4 4 1 4 4 1 4</strong></tt><br />
</td>
        <td>Breed 10-tone<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>4 3 4 3 4 3 4 3 3</strong></tt><br />
</td>
        <td>Orwell[9]<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>5 1 5 1 5 1 5 1 5 1 1</strong></tt><br />
</td>
        <td>de Vries 11-tone<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>3 1 3 1 3 1 3 1 3 1 3 1 3 1 3</strong></tt><br />
</td>
        <td>Pseudo-Porcupine 15-note<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>1 7 1 2 1 7 1 2 1 7 1</strong></tt><br />
</td>
        <td>Nested Bees<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>4 2 4 2 4 2 4 3 3 3</strong></tt><br />
</td>
        <td>Lumma Decatonic<br />
</td>
    </tr>
    <tr>
        <td><tt><strong>2 5 2 2 5 2 2 2 5 2 2</strong></tt><br />
</td>
        <td>Secor/Barton no-fives<br />
</td>
    </tr>
</table>

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