Music and Reflective Interference Model

Here the Tone-Color octave is revealed to be perceived as a reflected Gaussian derivative distribution I call the Reflective Interference Model. It models the distribution of interference produced by a phase shift between two harmonic series over an octave.

The diagram shows the most resonant locations perceived in an octave to be the diatonic tritone. For example, the tritone {B,F} is the most resonant interval in the C major scale represented by the white keys on a piano keyboard. We anticipate this tritone interval in oscillation with the tonic major third, or {C,E} in this example. In terms of color perception, the primary colors {Green, Red} mix or resolve to the tertiary colors {Cyan, Magenta}.

Another interesting thing is found when the Reflective Interference Model is graphed in polar coordinates. The Polar Reflective Interference Model is the harmonic geometry found in the eardrum, brain and many other body parts. The brain and auditory system thus recognizes music by comparing the geometry of outside harmonic patterns to the geometry of inside harmonic patterns. The degree and particular combination of phase differences are what trigger our emotions when we listen to music.