Say I'm talking to a friend about a particular sound, then I tell him I will show him what I mean. Is there a way to say show without implying visual demonstration? I guess maybe play? Any other suggestions?
Let me play you this bit of audio
make (a disc, music player, or other device) produce sounds or recorded images.
"someone is playing a record—I can hear the drum"
The recent coinage "audate" serves your purpose (we show a marble, we audate a phone), but the coinage hasn't made much headway into the language, and it likely won't. I know of no other English word that precisely corresponds to "show" but in an aural sense. In your post, you used the word "demonstration", and the verb form "demonstrate" doesn't refer specifically to a visual presentation. Thus, we may demonstrate the accepted pronunciation of a word by enunciating that word.