A project of the Bruce Arnold Foundation · 501(c)(3)
Music is a window into every science.
The mathematics of rhythm. The physics of sound. The set theory hidden inside every chord. Explore the connections between music and the disciplines that shape the world.
Explore the DisciplinesWhere music meets other disciplines
Music & Mathematics
Fractions govern rhythm. Set theory maps every chord. Power sets reveal the hidden structure of Western harmony.
View all articles →
Music & Physics
Sound is vibration. Frequency determines pitch. Amplitude shapes dynamics. Every note is a physics equation in motion.
View all articles →
Music & Technology
From digital audio to computational composition, technology reshapes how music is created, analyzed, and taught.
Coming Soon
Music & Engineering
Instrument acoustics, signal processing, speaker design — engineering is embedded in how sound is produced and transmitted.
Coming SoonArticle series
Music & Biology · 20 Articles
Key Center PerceptionWhat key center is as a biological sense, how it develops, why it cannot be explained — only experienced.
Music & Biology · 20 Articles
Rhythmic Time SenseCharlie Banacos’s method for developing the felt sense of musical time. Covers Long Line Rhythm® and the spiritual dimension of felt time.
Music & Science · 20 Articles
SuperScales — The MMA DiscoveryHow Melodic Minor Ascending became the only 7-note scale where all 12 transpositions function over real chords in one key center.
Music & Math · 20 Articles
Hexatonics across STEAMSix-note scales split into two 3-note trichords — the pitch class set system underlying modern jazz harmony.
The A in STEAM
Music & the Visual Arts
Bruce Arnold’s teacher Charlie Banacos regularly sent students to art museums to write music inspired by paintings and sculptures. The same mathematical relationships found in music — symmetry, proportion, pattern, contrast — appear in every visual art form. These works by painter Michal Shapiro have inspired many of Bruce’s compositions over 40 years.
Paintings courtesy of Michal Shapiro — michalshapiro.com — used with permission.