Channel: Raphael Treza

Category: Science & Technology

Tags: fibonaccisequencefibonacci sequencemathemusicianartmusicmathematicsmathssciencemathemusic

Description: this mathemusic track is composed with a melody strictly following the fibonacci sequence: using modulo 12 (means 13=1) to stay in 1 octave . (as there are 12 half tones in one octave, we must code the sequence in base 12) fibonacci sequence is recurrent using modulo 12, so the melody is an infinite loop. the result is a sequence of 24 numbers here: 0(mod12)=0=C 1(mod12)=1=C# 1(mod12)=1=C# 2(mod12)=2=D 3(mod12)=3=D# 5(mod12)=5= F 8(mod12)=8 = G# 13(mod12)= 1=C# 21(mod12)=9=A 34(mod12)=10=A# 55(mod12)=7=G 89(mod12)=5=F 144(mod12)=0=C 233(mod12)=5=F 377(mod12)=5=F 610(mod12)=10=A# 987(mod12)=3=D# 1597(mod12)=1=C# 2584(mod12)=4=E 4181(mod12)=5=F 6765(mod12)=9=A 10946(mod12)=2=D 17711(mod12)=11=B 28657(mod12)=1=C# THEN IT REPEATS!!!! remark: in base 2, binary system, the sequence is recurrent and create a 3 steps pattern ABB ABB ABB ABB... which the basis of the waltz and every ternary tempos (samples of this sequence and reverse pattern are also used) created by Raphael Treza (facebook) soundcloud.com/treza