Advanced Sciences Derived from Harmonic Theory

Section Contents

The Profound Musical Meaning of All Numbers and Number Systems
- Our Everyday Number System: The Base 10 (Decimal) Number System
- Φ (Phi), π (Pi) and e Are All About Undertones
True Prime Numbers: The Pattern
Geometry, or Frozen Music
Trigonometry, the Study of Harmonic Relationships in Triangles
- Sinus, Cosinus and Tangent Are Really Harmonics of the Ascending Series
- Cosecant and Secant are Really Undertones of Sinus and Cosinus
The Colors of Music and Music of Color
What “Vortex Based Math” Really İs
- Modular Arithmetic and the 12-hour Clock
- Numerology's Sum of Digits Is Just the Special Case of Base 10, Modulus 9
- TO DO: base n, mod n-1 or base m+1, mod m
- Torus Creation from This Math

⁷ Volume II (of XIV) from the teachings of Pir-O-Murshid Hazrat Inayat Khan (1882 – 1927) as transcribed by his students from his lectures and talks given between 1914 and 1926, titled “The Mysticism of Music, Sound and Word” – The Mysticism of Sound and Music – Chapter VI: The Mystery of Color and Sound – 1. Text available online on the Hazrat Inayat Khan Study Database: hazrat-inayat-khan.org

What is wrong with our music?
Learn to Hear the Dissonances of Equal Temperament

Advanced Sciences
Derived from Harmonic Theory

subtitle

Bo Constantinsen

Section Contents