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  • After twelve equal multiplicative increases we reach the octave (twice the pitch).

  • All the other notes (except Ab) tend to line up harmonically as well.

  • Twelth root of two is the ratio between semi-tones.

  • Twelth root of two is 1.0594631 (i.e. six percent).

  • Unpleasant to westernised musical ears if ten cents (ten hundredths of a semitone) out of tune!