Theory of Music
From Vibration to Voice Leading
The physics and mathematics of sound — waves, ratios, scales, harmony, and the architecture of musical time.
Foundations of Sound
The Physics of Vibration
Music begins as vibration — organized motion in air.
Harmonics and Timbre
The Geometry of Energy
Tone color is the geometry of energy.
Sound in Time
Shape and Expression
Sound lives through time — its shape is its expression.
Rhythm Structures
Patterns in Time
Time dances when patterns overlap.
Harmonics & Tuning
Number and Ear
Harmony arises when number and ear agree.
Scales & Modes
Windows on the Landscape
Seven windows on the same landscape — each with its own light.
Intervals & Chords
Vertical Relationships
Vertical relationships create horizontal motion.
Harmony & Progression
Tonal Gravity
Movement within stillness — the logic of tonal gravity.
Voice Leading & Form
Musical Architecture
Motion creates architecture — voices build musical worlds.
Contemporary & Eternal
Coming SoonBeyond Tradition
Modern approaches and timeless principles — from jazz to serialism to minimalism.
Guided instruction and research mentorship are offered separately → hbar.work