Yes two separate circuits of 15 amps each. they are probably of different 'legs' so you do not want to try to use both for the stereo. (The incoming A/C power is in two phases. Those breakers with a clip holding them together are one of each leg of a 120V, so both together are 240 volts. So the stove and dryer are 240volt items. The reason you do NOT want to use both of the two circuits if they are of different legs, is that 240 volt potential.
IF (not likely, but better safe than dead) you electronics had a mixed up plus/neutral A/C in one component (very possible) and it developed an A/C fault. Well possibley a 240 volt potential could be then in your stack of stuff and 240 volts is a VERY hard shock to get.
Anyway, if your TV etc is completely separate from the two channel. then put that on other one.
(One VERY good use of an optical digital cable is in this situation. Then you can carry a signal from one to the other with NO electrical potential possible.)
Anyway, good luck on your electrical adventure.
PS: to know if the two 15 amp circuits are in fact different legs. the hot wire in an outlet is 120V to the neutral.
IF the hot from one 15 amp breaker to the hot of the other 15 amp breaker is 240 volts, then they are on different legs. IF the voltage is zero, they are on the same leg.
(I check this with sticking wires into the recepticals and measuring it with a voltmeter, but that is just me.
(PS I have witnessed a human nut-job stick two screwdrivers into a 240 volt wall outlet, then cross them with a third, and watched as the steel shafts melted off in spectacular fashion, it ruined the outlet too.)
I would bet money the two 15 amp breaker circuits are in fact different legs of the power.)
If you must play (or for other crazy fools: each receptical will have one side hot, and one neutral. So if you had a wire in the hot side, it will have a 120 volt potential to the neutral, OR to the ground, if the ground is working. The neutral will have no voltage to the ground. (that is why it is neutral!)'So if you have two outlets, and one is on another leg... then the hot of one outlet, measured to the HOT of the other outlet will be 240Volts. That is the ONLY combination to give 240 volts, each one to the other's neutral, or ground will only be 120 volts, and each other's neutral to ground will still be zero volts.
(and for the easily confused, the two plug pair in one outlet are ONE thing. they are almost always 99.999% of the time just connected to one set of wire, and do not have different stuff in them. so you do not have to worry about the two plug spots in one outlet pair OK)
And if you are at all confused abou this, DO NOT play around with it!!
Warning aside, have fun. (And if you use a cheap voltmeter, be certain it is good for up to over 240 volts reading! and safe for A/C circuits.)
Added: then a few powerline conditioners (like my Furman REF20i output what is called "technical power" which has no neutral in the A/C. each of the wires is hot, carrying 60 volts. and together they make 120 volts. (in the same manner as the two hot different legs make 240 volts)
Just a comment that stuff can be interesting..
