User:Contribution/Logarithmic constants VS acoustic constants (opinion piece article)
Logarithmic constants are fake intervals
When we are hearing logarithmic phi, we are in fact hearing the number 2**(phi) = 3.070
Same thing for logarithmic pi, the number that comes to our ears is 2**(pi) = 8.825
While these intervals can still be used in a way or another as useful tones in a piece of music, they don't correspond to anything.
Moreover, music is fundamentally the art of numbers made audible. This is something that was already known in antiquity. That's why I believe that what is completely outside the "grid of numbers" and the "harmonic grids" that emerge from it does not truly correspond to what music is fundamentally nor to the actual functioning of hearing (for this reason, I believe that most of what was composed in the Second Viennese School does not truly correspond to what music is deeply about, although it is interesting to analyse intellectually).
This is why I say that logarithmic phi and logarithmic pi are not musical.
When it comes to acoustic constants, we are truly hearing the mathematical constants phi = 1.6180 and pi = 3.1416
Acoustic constants are the only real musical ones.
Metallic MOS
That being said, logarithmic phi has interesting musical applications as Metallic MOS, and in particular the fractal-like possibilities of self-similar subdivision of musical scales.