phi[8] piano improvisation

follow along score, 8th note reduction

phi[8] piano improvisation is an improvisation in the tuning below. The tuning has two basic interval sizes, ~108 cents and ~175 cents. This would lead you to believe that the tuning is not very harmonious. I found it to be otherwise and also excellent for melodies.

Jake asked for the same improvisation in “minor” mode – the tuning is below.

The tuning was devised by Jake Freivald – phi[8] is a LSLLSLSL mode “major”

! C:\Freivald\music\Tuning\scales\phi[8].scl
!
Division of the octave according to the proportion phi, the Golden Ratio.
8
!
175.07763
283.28158
458.35921
633.43684
741.64079
916.71842
1024.92237
2/1

phi[8] minor is a LSLSLLSL mode “minor”

! C:\Freivald\music\Tuning\scales\phi[8]-minor.scl
!
Division of the octave according to the proportion phi, the Golden Ratio.
8
!
175.07763
283.28158
458.35921
566.56316
741.64079
916.71842
1024.92237
2/1