The frequencies observed in a sample of a musical tone are all harmonic multiples of some fundamental frequency. Noise, on the other hand, is made of many frequencies that are not harmonically...
A musical tone has a definite pitch, or perceived frequency. Noise typically does not.
dominant 7th
This is generally called a jukebox musical.
They vibrate at different frequencies. The same vibration will also sound different depending on the string or column of air that produces it.