Is that a 1/8" jack, similar to the audio out on a cell phone? That's probably what you will want for a music input.
The terminals are likely, left, right, and ground return, making a stereo jack. Your intercom is a monophonic (one audio channel of output) model, based on your schematic.
It's not hard to do what you want, but is a bit convoluted. Assuming that you'll be using a cell phone or an ipod type music source that's designed to drive headphones, here's what to do.
Get a handful of 1/4 or 1/2 watt resistors. any value between 500 & 1 thousand ohms will work fine, just make sure they are all the same value. On each left and right terminal of your jacks, solder a resistor lead (4 resistors, total).
Assuming that you'll only use one jack at a time and *don't* try to play 2 music sources at once, do this:
At each jack, solder the free leads of each resistor together, and solder the center conductor of a shielded cable to that joint. Solder the shield to the ground terminal of the jack. You can either run both lines to the back of the intercom, or 'daisy chain' the jacks (easier & cleaner). Assuming the daisy chain technique, the cable would start at the rear jack, go to the front jack, and then the center wire would go to pin 1 and the shield would go to the intercom's chassis ground.
Reason for the resistors: Music source will almost certainly be stereo, and the pair of resistors form a 'summing' network to feed both channels to the intercom's single channel input, while isolating the two channels from each other. Because you're only using one jack at a time, the resistors on the other jack are effectively out of the circuit.
Now for the unknown. Some consumer music sources cannot supply a high enough level to work through an a/c intercom. If your music volume is too low, you can add a preamp between the jack(s) and the intercom input. (Different subject)