Golden Ratio, Lucas secuences & Kappa units Music
The objective of Liber Abaci Records is to explore the Golden Ratio and alternative mathematical systems. The Golden ratio or Divine proportion has been used in art since Leonardo Da Vinci times and a way to use it in music is representing the numbers in the rhythm.
The Lucas sequence are certain constant-recursive integer sequences that satisfy a recurrence relation. The most famous example is the Fibonacci numbers and all this mathematics can be represented in music.
The traditional electronic music metric is the repetitive system based on 4 - 8 - 16 - 32 steady pulses. The Kappa units are the natural or possible rhythmic units to sequence steady progressions in music having a ascending range of 10 classified units plus the multiples of the prime numbers. The next list explain the Kappa unit progressions in steady pulses.
( α ) Alpha = 10 - 20 - 40 - 80
( β ) Beta = 11 - 22 - 44 - 88
( γ ) Gamma = 12 - 24 - 48 - 96
( δ ) Delta = 13 - 26 - 52 - 104
( ε ) Epsilon = 14 - 28 - 56 - 112
( ζ ) Zeta = 15 - 30 - 60 - 120
( η ) Eta = 16 - 32 - 64 - 128
( θ ) Theta = 17 - 34 - 68 - 136
( Ι ) Iota = 18 - 36 - 72 - 144
( κ ) Kappa = 19 - 38 - 76 - 152
There is a few electronic music tracks that have explore the Kappa units before were classified as Nathan Fake - The Sky Was Pink (Live Take) , Nathan Fake - The Sky Was Pink (James Holden remix) and Jimpster- Got A Hold On Your Soul (Original Mix) on Gamma unit & Marcel Dettmann - Corebox (James Ruskin Blueprint Mix) on Alpha unit.