31edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 459756836 - Original comment: ** |
Wikispaces>spt3125 **Imported revision 470340618 - 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> | ||
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===3\31 octave - approx. 116.13 - Major Semitone or Diatonic Semitone or Large Major Second=== | ===3\31 octave - approx. 116.13 - Major Semitone or Diatonic Semitone or Large Major Second=== | ||
The larger and clunkier of the 31edo semitones. In meantone, it is the //diatonic semitone// which appears in the diatonic scale between, for instance, the major third and perfect fourth, and the major seventh and octave. 3\31 stands in for just ratios 16:15 (111.73¢); 15:14 ( | The larger and clunkier of the 31edo semitones. In meantone, it is the //diatonic semitone// which appears in the diatonic scale between, for instance, the major third and perfect fourth, and the major seventh and octave. 3\31 stands in for just ratios 16:15 (111.73¢); 15:14 (119.44¢) and others. It is notable that two of these make an 8/7; this implies that the 3\31 is a //secor// and generates [[Gamelismic clan|miracle temperament]]. | ||
====MOS Scales generated by 3\31:==== | ====MOS Scales generated by 3\31:==== | ||
||~ number of tones ||~ MOS class ||~ 0 ||~ 1 ||~ 2 ||~ 3 ||~ 4 ||~ 5 ||~ 6 ||~ 7 ||~ 8 ||~ 9 ||~ 10 ||~ 11 ||~ 12 ||~ 13 ||~ 14 ||~ 15 ||~ 16 ||~ 17 ||~ 18 ||~ 19 ||~ 20 ||~ 21 ||~ 22 ||~ 23 ||~ 24 ||~ 25 ||~ 26 ||~ 27 ||~ 28 ||~ 29 ||~ 30 || | ||~ number of tones ||~ MOS class ||~ 0 ||~ 1 ||~ 2 ||~ 3 ||~ 4 ||~ 5 ||~ 6 ||~ 7 ||~ 8 ||~ 9 ||~ 10 ||~ 11 ||~ 12 ||~ 13 ||~ 14 ||~ 15 ||~ 16 ||~ 17 ||~ 18 ||~ 19 ||~ 20 ||~ 21 ||~ 22 ||~ 23 ||~ 24 ||~ 25 ||~ 26 ||~ 27 ||~ 28 ||~ 29 ||~ 30 || | ||
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[[31-edo compositions|An alphabetical list of Tricesimoprimal Compositions]]. | [[31-edo compositions|An alphabetical list of Tricesimoprimal Compositions]]. | ||
[[http://archive.org/download/Aire2In31-equalTemperament/Aire2In31.mp3|Aire #2 in 31-equal temperament]] by [[Jon Lyle Smith]] | |||
[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/City%20Of%20The%20Asleep%20-%2031-tET-I%20Stand%20Hopeless%20Before%20the%20Gray%20Sea.mp3|I Stand Hopeless Before the Gray Sea]] | |||
by Chuckles McGee | by Chuckles McGee | ||
[[http://soonlabel.com/xenharmonic/wp-content/uploads/2012/03/Claudi_Meneghin_Chaconne_G_001.mp3|Chaconna en G=, La Padana, ou la septimala (‘The Padanian, or the septimal’)]] by [[Claudi Meneghin]] | |||
[[earwig]] by [[Andrew Heathwaite]] | [[earwig]] by [[Andrew Heathwaite]] | ||
== == | == == | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="Intervals--3\31 octave - approx. 116.13 - Major Semitone or Diatonic Semitone or Large Major Second"></a><!-- ws:end:WikiTextHeadingRule:10 -->3\31 octave - approx. 116.13 - Major Semitone or Diatonic Semitone or Large Major Second</h3> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="Intervals--3\31 octave - approx. 116.13 - Major Semitone or Diatonic Semitone or Large Major Second"></a><!-- ws:end:WikiTextHeadingRule:10 -->3\31 octave - approx. 116.13 - Major Semitone or Diatonic Semitone or Large Major Second</h3> | ||
The larger and clunkier of the 31edo semitones. In meantone, it is the <em>diatonic semitone</em> which appears in the diatonic scale between, for instance, the major third and perfect fourth, and the major seventh and octave. 3\31 stands in for just ratios 16:15 (111.73¢); 15:14 ( | The larger and clunkier of the 31edo semitones. In meantone, it is the <em>diatonic semitone</em> which appears in the diatonic scale between, for instance, the major third and perfect fourth, and the major seventh and octave. 3\31 stands in for just ratios 16:15 (111.73¢); 15:14 (119.44¢) and others. It is notable that two of these make an 8/7; this implies that the 3\31 is a <em>secor</em> and generates <a class="wiki_link" href="/Gamelismic%20clan">miracle temperament</a>.<br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h4&gt; --><h4 id="toc6"><a name="Intervals--3\31 octave - approx. 116.13 - Major Semitone or Diatonic Semitone or Large Major Second-MOS Scales generated by 3\31:"></a><!-- ws:end:WikiTextHeadingRule:12 -->MOS Scales generated by 3\31:</h4> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h4&gt; --><h4 id="toc6"><a name="Intervals--3\31 octave - approx. 116.13 - Major Semitone or Diatonic Semitone or Large Major Second-MOS Scales generated by 3\31:"></a><!-- ws:end:WikiTextHeadingRule:12 -->MOS Scales generated by 3\31:</h4> | ||