16edo: Difference between revisions

Wikispaces>TallKite
**Imported revision 599359354 - Original comment: **
Wikispaces>TallKite
**Imported revision 599360112 - 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:TallKite|TallKite]] and made on <tt>2016-11-14 02:54:17 UTC</tt>.<br>
: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-11-14 03:16:40 UTC</tt>.<br>
: The original revision id was <tt>599359354</tt>.<br>
: The original revision id was <tt>599360112</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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=Intervals=  
=Intervals=  
|| Degree || Cents (coarse,  
|| Degree || Cents (coarse,
fine) DMS ||= Approximate
fine) DMS ||= Approximate
Ratios* || Interval Names
Ratios* || Interval Names
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16edo can be notated with conventional notation, including the staff, note names, chord names, relative notation, etc. in two ways. The first preserves the __melodic__ meaning of sharp/flat, major/minor and aug/dim, in that the former is always higher pitched than the latter:
16edo can be notated with conventional notation, including the staff, note names, chord names, relative notation, etc. in two ways. The first preserves the __melodic__ meaning of sharp/flat, major/minor and aug/dim, in that the former is always higher pitched than the latter:
||= ---D--- ||= -------- ||= ---E--- ||= --------- ||= --------- ||= ---F--- ||= --------- ||= ---G--- ||= --------- ||= ---A--- ||= --------- ||= ---B--- ||= --------- ||= --------- ||= ---C--- ||= --------- ||= ---D--- ||
||= ---D--- ||=  
---- ||= ---E--- ||=  
---- ||=  
---- ||= ---F--- ||=  
---- ||= ---G--- ||=  
---- ||= ---A--- ||=  
---- ||= ---B--- ||=  
---- ||=  
---- ||= ---C--- ||=  
---- ||= ---D--- ||
||= D ||= D#/Eb ||= E ||= E# ||= Fb ||= F ||= F#/Gb ||= G ||= G#/Ab ||= A ||= A#/Bb ||= B ||= B# ||= Cb ||= C ||= C#/Db ||= D ||
||= D ||= D#/Eb ||= E ||= E# ||= Fb ||= F ||= F#/Gb ||= G ||= G#/Ab ||= A ||= A#/Bb ||= B ||= B# ||= Cb ||= C ||= C#/Db ||= D ||
||= P1 ||= A1/d2 ||= m2 ||= M2 ||= m3 ||= M3 ||= A3/d4 ||= P4 ||= A4/d5 ||= P5 ||= A5/d6 ||= m6 ||= M6 ||= m7 ||= M7 ||= A7/d8 ||= P8 ||
||= P1 ||= A1/d2 ||= m2 ||= M2 ||= m3 ||= M3 ||= A3/d4 ||= P4 ||= A4/d5 ||= P5 ||= A5/d6 ||= m6 ||= M6 ||= m7 ||= M7 ||= A7/d8 ||= P8 ||
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The second approach is to preserve the __harmonic__ meaning of sharp/flat, major/minor and aug/dim, in that the former is always further fifthwards on the chain of fifths than the latter:
The second approach is to preserve the __harmonic__ meaning of sharp/flat, major/minor and aug/dim, in that the former is always further fifthwards on the chain of fifths than the latter:
||= ---D--- ||= -------- ||= ---E--- ||= --------- ||= --------- ||= ---F--- ||= --------- ||= ---G--- ||= --------- ||= ---A--- ||= --------- ||= ---B--- ||= --------- ||= --------- ||= ---C--- ||= --------- ||= ---D--- ||
||= ---D--- ||=  
---- ||= ---E--- ||=  
---- ||=  
---- ||= ---F--- ||=  
---- ||= ---G--- ||=  
---- ||= ---A--- ||=  
---- ||= ---B--- ||=  
---- ||=  
---- ||= ---C--- ||=  
---- ||= ---D--- ||
|| D || Db/E# || E || Eb || F# || F || Fb/G# || G || Gb/A# || A || Ab/B# || B || Bb || C# || C || Cb/D# || D ||
|| D || Db/E# || E || Eb || F# || F || Fb/G# || G || Gb/A# || A || Ab/B# || B || Bb || C# || C || Cb/D# || D ||
||= P1 ||= d1/A2 ||= M2 ||= m2 ||= M3 ||= m3 ||= d3/A4 ||= P4 ||= d4/A5 ||= P5 ||= d5/A6 ||= M6 ||= m6 ||= M7 ||= m7 ||= d7/A8 ||= P8 ||
||= P1 ||= d1/A2 ||= M2 ||= m2 ||= M3 ||= m3 ||= d3/A4 ||= P4 ||= d4/A5 ||= P5 ||= d5/A6 ||= M6 ||= m6 ||= M7 ||= m7 ||= d7/A8 ||= P8 ||
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         &lt;td&gt;Degree&lt;br /&gt;
         &lt;td&gt;Degree&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Cents (coarse, &lt;br /&gt;
         &lt;td&gt;Cents (coarse,&lt;br /&gt;
fine) DMS&lt;br /&gt;
fine) DMS&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;