Is the major scale called Ionian mode on the honor of Pythagoras?

https://en.m.wikipedia.org/wiki/Ionian_mode


https://en.m.wikipedia.org/wiki/Pythagoras


This may make sense if Pythagoras was the first to study the frequency of various overtones of a vibrating string.


https://en.m.wikipedia.org/wiki/Overtone


Such overtones correspond more or less to notes:


C
C octave
G oct
C double oct
E d oct
G d oct
Bb d oct
B d oct
C triple octave


So most of the notes of the major scale are already contained in the complex vibration of a stretched string.


See also Leonard Bernstein lecture at Harvard university - YouTube


See also Musical Acoustics - Hall