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Circle of Fifths

63 bytes removed, 20:14, 25 April 2014
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Let's find all 12 tones in order of fifths, going both ways from C:
C F <- C -> G Bb <- F <- C -> G -> D Eb <- Bb <- F <- C -> G -> D -> A Ab <- Eb <- Bb <- F <- C -> G -> D -> A -> E Db <- Ab <- Eb <- Bb <- F <- C -> G -> D -> A -> E -> B Gb <- Db <- Ab <- Eb <- Bb <- F <- C -> G -> D -> A -> E -> B -> F#
F# is the same pitch as Gb, which means we've completed the circle. If we keep going, we still get unique key names, but the pitches will match other keys already in the circle. For example, continuing left (counter-clockwise), we reach Cb, which is the same as B. Going right (clockwise), we reach C#, which is the same as Db.