All the sounds are related to the famous sequence of Fibonacci and related sequences. The F 698 Hz represents the zero of all sequences. Also the synthetic spectra are deduced from this sequence. Temperaments varies from 12ET (always in the acustic piano) to 19Et, 31ET, 50, 7 (it's an other recursive sequence!)
more here: https://giovannidamiani.altervista.org/giovdamiani/qui_Fibonacci_ovunque4.pdf

Qui Fibonacci, ovunque

In this music there are only synthetic sounds, produced at sample level through the division algorithm, non restricted to base 10. The choice of base (from 2 and 72) is indeed  one of parameters of variation. Most of combinations of numerator and denominator produce periodic waveform, of various shape, and period lenght equal or submultiple of the Euler totient function, that here is a type of varying ‘fundamental ground’, as the sample rate is the common high pedal. I mean the variables X/Y base Z the 3 different parameters of a cubic matrix, and generate varying sequences with many harmonic and polyphonic features. These parameters are use not only at sample level, but according a fractal method, for pitch modulation and for quadraphonic panning (I use the reminders). The quadraphonic movements of each sequence is then projected on one of 6 sides of a cube, slowly moving to a different (or not) side, and then diffused on an octophonic installation.

All processes are written in Csound, and they run also in real time with a single file I can attach. They can also be converted in less or more channels. http://digilander.libero.it/giovdamiani/invisibili.htm#Csound_files_for_complete_generation:

invisibili- vivibili- rappresentazioni di rapporti

For tenor sax (Gaetano Costa), doublebass (Luca Ghidini) and piano+celesta (Giovanni Damiani). A musical setting of a family of magic squares similar of the famous of Dürer Melancolia I. Hear also Melancolia I and II, 
https://www.youtube.com/watch?v=neuBAf8P_hY
and 'Macchina per salutare l'aurora', on a poetry of Bruno Munari and an other 4X4 pandiagonal magic square.https://www.youtube.com/watch?v=l0EgpmyTm5A

giovanni damiani

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