DESCRIPTION:
CCRMA Colloquium. May 14, 2014


A highly symmetrical musical keyboard and a small system
of just a few new musical scales provide a powerful way to
access a wide variety of musical harmony. The keyboard is
isomorphic, a "6+6" (all half steps), and is marked in 3 groups
of diminished 3rd's (the 3 diminished chords.) A very few scales based on the diminished chords are shown to produce a wide
variety of harmony in a controlled way. A few identities provide
"tinker-toy" links between different scales and different keys,
and allow for the construction of many familiar chord
progressions as well as advanced harmonic substitutions.
The whole system includes binary selections at different levels,
offering good handles for interface design.


More information:

https://ccrma.stanford.edu/events/roy-pertchik-tri-chromatic-keyboard-and-symmetry-of-music