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User Name Thread Name Subject Posted
josepp Easy way to draw a circle of 5ths (59* d) RE: Easy way to draw a circle of 5ths 01 May 11

////. A couple of references were made to "divide the circle into twelve equal arcs." There are 13 notes in the chromatic scale so the division must be triskadecate, not duodecate.////

The Circle of 5ths arranges the major/minor scales not the chromatic notes. Pedantically speaking.

///2. In conventional "theory" there's no such thing as a "circle of fifths. Each "movement clockwise" adds one sharp to the key signature, or cancels one flat. Each movement counterclockwise adds one flat or cancels one sharp. For a "theoretically pure" graphic, you must draw a spiral of fifths so that the "keys" of C#, C## etc are properly shown. The notion that you can "fall back an octave and substitute the enharmonic notation" doesn't work accurately except for equi-tempered tunings.////

Yes, it is a spiral. So is a true octave but try playing your favorite folk song in that tuning at a coffeehouse.

////If you can discard the notion that a "circle" has some mystical significance, you can easily create a linear (straight line) slide rule for comparisons between tunings, although for a "complete set" of scales encompassing suffient octaves to show the differences clearly it may be a rather long stick.///

Yeah, yeah, I've been to wikipedia too.

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