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Web Hits Counts all visits to all pages of the GCI website since ~2022.

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Here are: -

  1. the ratios of the natural harmonics as shown on a violin G-String showing (also see)
  2. the 'doubling-law' of the octave (halve the length double the frequency; third the length treble the frequency; quarter the length quadruple the frequency etc)
  3. the 'divine proportion' (61.8%) in the second octave (when equal temperament or well tempered tuning is applied)
  4. sitting precisely at 'phi' between 'perfect fith' i.e. three whole tones + one semitone (66.6%) traditionally the sign of the devil &
  5. a 'tri-tone' (3 whole tones in a row) that the church used to call 'diabolus-in-music' (the devil in music) i.e. three whole tones (58.33%).


Together these show a perfect phi-relationship not unlike the displacement of the angles of

  1. Fine Structure Constant 137.05°
  2. Pi 137.5° &
  3. Phi 137.7°


Web Hits Counts all visits to all pages of the GCI website since ~2022.