43edo: Difference between revisions

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=<~~span style="color: #027bac; font-family: 'Times New Roman',Times,serif; font-size: 113%;">~~43 tone equal temperament~~</span>~~=

=<43 tone equal temperament=

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The diatonic semitone is four steps, so for the region between B and C (or, E and F), we can use: B, Cb, red Cb/blue B# (''they are enharmonic equivalents''), B#, and C. All of the notes in 43edo therefore have unambiguous names except for two: red Cb/blue B#, and red Fb/blue E#. It might also be possible to design special symbols for those two notes (resembling a cross between the letters B and C in the former case, and E and F in the latter).

If red Cb and blue B# (and red Fb/~~Blue~~ E#) are instead forced to be distinct, but the requirement that all notes be equally spaced is maintained, then we end up with a ''completely'' unambiguous red-note/blue-note notation for [[45edo|45edo]], which is another meantone (actually, a [[Flattone|flattone]]) system.

If red Cb and blue B# (and red Fb/blue E#) are instead forced to be distinct, but the requirement that all notes be equally spaced is maintained, then we end up with a ''completely'' unambiguous red-note/blue-note notation for [[45edo|45edo]], which is another meantone (actually, a [[Flattone|flattone]]) system.

[[:File:43_edo_counterpoint.mid|43 edo counterpoint.mid]] ''[http://micro.soonlabel.com/gene_ward_smith/Others/Kosmorsky/43%20edo%20counterpoint.mp3 mp3]'' Peter Kosmorsky (late 2011) (in meantone)

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 The diatonic semitone is four steps, so for the region between B and C (or, E and F), we can use: B, Cb, red Cb/blue B# (''they are enharmonic equivalents''), B#, and C. All of the notes in 43edo therefore have unambiguous names except for two: red Cb/blue B#, and red Fb/blue E#. It might also be possible to design special symbols for those two notes (resembling a cross between the letters B and C in the former case, and E and F in the latter).
-If red Cb and blue B# (and red Fb/Blue E#) are instead forced to be distinct, but the requirement that all notes be equally spaced is maintained, then we end up with a ''completely'' unambiguous red-note/blue-note notation for [[45edo|45edo]], which is another meantone (actually, a [[Flattone|flattone]]) system.
+If red Cb and blue B# (and red Fb/blue E#) are instead forced to be distinct, but the requirement that all notes be equally spaced is maintained, then we end up with a ''completely'' unambiguous red-note/blue-note notation for [[45edo|45edo]], which is another meantone (actually, a [[Flattone|flattone]]) system.
 [[:File:43_edo_counterpoint.mid|43 edo counterpoint.mid]] ''[http://micro.soonlabel.com/gene_ward_smith/Others/Kosmorsky/43%20edo%20counterpoint.mp3 mp3]'' Peter Kosmorsky (late 2011) (in meantone)