Introduction to Pitch Systems in Tonal Music: Octave Equivalence, Circular Pitch Systems, and the Major Triad

Octave Equivalence, Circular Pitch Systems, and the Major Triad

This presentation will expand the concept of octaves as a spectrum to incorporate the circle of fifths, a common diagram for study of music theory. Understanding the circle of fifths leads to a larger realization; tonal pitch systems are circular. The 5:4 major third will be added to the set of simple number ratio intervals we have studied, 2:1, 3:2, and 4:3. This new interval will allow us to form a major triad and open a new avenue for exploration of tonal pitch systems.