For all purpose in life and for the average "us" the above post is enough... But to goes further the links i put are very illuminating about the complexities of this problem...
By the way in an audio system well put and under control, we "see" the sound in the room, our brain translate chords into imaginary perceived but very real dynamical VOLUME... It is like a rainbow perception a "real" illusion not a misperception, or an error or a meaningless accident but a phenomena at the frontier where the mind encounter the world and translate it from inside ...
My K340 headphone did this as well as my speakers in their acoustically controlled room did it , then sound is not only an abstraction created by the brain and the wacves, not only a felt vibrating string on a plane , nor a mere vibrating and oscillating surface, but a volume too and more...Acoustic and psycho-acoustic are so deep that even today there exist many unanswered problems about hearing ...
For example this articleabout decoding perception by the brain:
https://phys.org/news/2013-02-human-fourier-uncertainty-principle.html
Readers of the Bible know that the first sound play the first role in the creation in "Genesis and in ST-John where Logos is not an abstraction only but a "sound" and a "voice" ...As in Indian vedas the sound "OM" contains the universe... This is not only mere superstition but deep spiritual intuition about sound...And Sound contain information and memory as Babies listening the world decipher it way before seeing it... Etc.. Sound qualities are heard and convey many information about the fruit if we tap it to know if the fruit is ripe or not...We can deduce hearing his sound if the tapped object is made of steel or wood and if he contains aperture, one or many, and if the object is empty completely or dense etc... Sounds is information not a mere wave abstraction...Sound is quality not only quantity... But anyway numbers are qualities too as in Pythagoreanism and Platonism for example through their connection to shape and then qualitative symbolism by a primal Cenesthesia...
To answer this question mathemathically is very hard....Most of the question and some answers can be found in Marc Kac article," Hearing the shape of a drum" and there is an interesting and very deep confrence by Alain Connes, a true genius, founder of non commutative geometry...Keep his French name in your mind if you are a young student in physics or maths...
here the wiki stating the maths problem in two paragraphs: "the shape of a drum"
https://en.wikipedia.org/wiki/Hearing_the_shape_of_a_drum
Marc Kac article put the problem in front of your eyes:
https://www.math.ucdavis.edu/~hunter/m207b/kac.pdf
Now deeper and life changing but very hard to figure out if you are not a physicist or a mathematician, Alain Connes go under the belly of this question and think about TIME and Information among other matter in this conference title "Seiing shapes" ... It is translated in English from the french original...Very deep...I must listen to it anew because it is very hard and i forgot it after few years...( i am a philosopher not a mathematician but maths is one of the key to philosophy for me)
https://www.youtube.com/watch?v=Z52ZAPrRbqE&t=232s