My favorite quantum physicist writes that music "functions whatever the basic tone", in which he´s absolutely right.
Unfortunately he adds that it´s made out of "intervals compared to a frequency that can be placed anywhere without any major disadvantages if one considers that nature is invariant of scale".
I see many major disadvantages.
As soon as you play with other musicians, you have to follow the sect rule, Classic, 442; Baroque, 440 a 1/2 step lower; Contemporary, up to 450; Rock, 440; Jazz, like Classic; etc. folk musicians seem to have less problems, maybe because they´re used to various "open-tuning"?
But generally, musicians are stuck - up to aggression, or is it simply laziness? - In their standard.
Indeed for acoustic instruments, I understand some (viola da gamba, bassoon, oboe...) need sometimes days before they adapt to a new tuning,
But there is a reference: if one considers the law of natural harmonics and looks for a frequency to "join the stars" (Dante).
Following the planet rhythm where we produce our musical sounds, a wider range could be the cycle of 25 920 years for the precession of the equinoxes, and the number 108 (why 108? I come back to it), we get various interesting numbers:
An A which vibrates 108 times per second (so 108 Hz), vibrates 25920 times in 4 minutes
The average dude breathes 18 times in a minute, a frequency of 18:60 = 0,3 Hz
That same dude´s heart beats 72 times per minute, 72:60 = 1,2 Hz
Breathing is so in a ratio of 1 to 360 (a circle has 360 degrees) with 108
the heart pulse is in a ratio of 1 to 90 (a right angle) with 108
The cycle of the Moon eclipses is 18 years
25920:18 = 1440, the number of minutes in one terrestrial day
The ratios of the precession of equinoxes with the cycle of the Moon eclipses and one terrestrial year, are the same as for a day:minute:breath = 25920:18:1
How we get 432 from 108, you guessed, but curiously, the number of grains in a shivaite rosary is 108, the Rigveda has 10800 stanzas.
It is said the Egyptians measured 108 000 000 Remen for the length of the equator, but Telekom doesn´t allow me to verify.
Last, the smallest number that can be divided by 720, 1440 and 108 without rest is 4320.
4320 is the basis for the calculation of the length of an Indian Manvantara (10 = 4 + 3 +2 + 1), of which our present last period is the Kali Yuga.
So we can happily forget the Goebbels conspiracies (the Germans chose A as 440 Hz in 1859), and for what I am concerned, if a standard tone, then 432 Hz, as I must have Verdi ears.
All´opra! All´opra! Dagli! martella!
Chi del gitano i giorni abbella?
if we can´t measure it, at least we can get closer to the Logos