
The Mathematical Approach to Music Theory
Music Theory Matrix revolutionizes how musicians understand music theory by presenting it through the lens of mathematics and computer science. Our iOS app makes complex theoretical concepts accessible and engaging through interactive visualizations and computational thinking.
Mathematical Foundations
Explore the mathematical relationships between notes, scales, and chords. Understand music theory as a system of patterns and relationships that can be expressed through mathematical formulas and ratios.
Computational Approach
Learn how music theory relates to algorithms and computational thinking. See how musical patterns can be expressed as logical sequences and transformations, similar to computer programming concepts.
Interactive Visualizations
Engage with dynamic, interactive visualizations that bring abstract concepts to life. Manipulate parameters in real-time to see and hear how mathematical changes affect musical outcomes.
Practical Applications
Apply theoretical knowledge to practical music-making with tools that help you compose, analyze, and understand music from a mathematical perspective.
Ear Training Integration (v2)
Develop your ear while understanding the mathematical relationships behind what you're hearing. Our ear training exercises are designed to reinforce the computational concepts you're learning.
Comprehensive Curriculum (v3)
Progress through a structured learning path that covers everything from basic intervals and scales to advanced topics like set theory and atonal analysis, all presented through a mathematical lens.

Key Features
Interactive Piano Playground
Experience real-time audio feedback with visual note highlighting. Play piano keys and instantly hear notes while seeing exactly which keys you're pressing with color-coded feedback.
Comprehensive Music Theory
Master notes, intervals, chords, and scales through mathematical foundations. Learn the science behind music with frequency calculations and visual representations on actual piano keys.
Scientific Audio Visualization
Watch real-time waveform displays and frequency analysis as you play. See the exact Hz frequencies of notes and understand why different instruments create unique sound patterns.
Smart Learning Tools
Explore any key signature with root note selection. Build chords instantly and hear scales across major, minor, pentatonic, blues, and harmonic minor variations.
Professional Audio Engine
Powered by AudioKit integration for pristine sound quality. Track live notes with octave and frequency information, plus built-in educational explanations for every concept.
Beautiful SwiftUI Design
Modern, intuitive interface with color-coded learning cues. Clean, responsive design that feels native to iOS with organized sections for different learning modes.