From these figures he (Pythagoras) derived the octave (12:6+2:1)... fifth... fourth... Harvard Dictionary of Music.
I don't understand the contention. I was referring to the principle of discovery as exemplified by Pythagoras. And this not in a strict scientific sense but really metaphorically in the sense that Columbus was a discoverer. To nitpick about a nonessential ingredient of a philosophical point is a curious hostility that renders honest dialogue helpless.
Lets hear it for pseudo - intellectualism. Such a lovely ingredient in art I've always thought.
Dave Connor
Thanks for confirming that piano strings have overtones. I'm learning a ton here.
I don't understand the contention. I was referring to the principle of discovery as exemplified by Pythagoras. And this not in a strict scientific sense but really metaphorically in the sense that Columbus was a discoverer. To nitpick about a nonessential ingredient of a philosophical point is a curious hostility that renders honest dialogue helpless.
Lets hear it for pseudo - intellectualism. Such a lovely ingredient in art I've always thought.
Dave Connor
Thanks for confirming that piano strings have overtones. I'm learning a ton here.