Chapter 30- Ramanujan Octave, Semitones, Chords and Harmonics

Chapter30

Discussion of further investigation of the connection between the octic q fraction, class invariants, tonality and the octahedron.  The Ramanujan ladder is described for any class invariant of discriminant -m. A connection to the volume and edge of the octahedron is proved.

The Ramanujan Octave, Semitones, Chords and Harmonics