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Any music store will have these. The plug is the same as the one on a set of headphones with the big plug on them.
And now you're wondering what a balanced cable is. It's a device to cut down hum in the system. Something like a guitar cable has one hot line and one ground braid in it. The ground braid is supposed to keep the hot line from picking up hum, but that shit don't work--as anyone who's ever dealt with electric guitars can attest.
To "balance" the line, they feed the output of the thing they're trying to balance into a transformer with a center-tapped secondary. What comes out is one ground line, a signal line that's positive to the ground, and a second signal line that's negative to the ground. Both signal lines pick up hum, and the "hum signal" is identical on both lines. When the cable gets to the input of the next device, the first thing that happens is the signal on the negative line is inverted and mixed with the signal on the positive line. The desired signal goes positive and, when mixed with the signal on the positive line, doubles the amplitude of the desired signal. But the hum on the positive line flips too. Mix positive hum with equal-amplitude negative hum, and you suddenly have no hum--it's cancelled itself out.
TRS balanced cables (there are two kinds of balanced cables--XLR and TRS--and the connectors are COMPLETELY different) are a little more expensive than guitar cables, but they're absolutely necessary to get the benefits of the balanced system. And, if you fuck up and plug a TRS balanced cable into your guitar, no harm done--the second signal wire will become a second ground. It won't do anything for you, but the guitar will still work.
Incidentally, do you have balanced outs on your synth? If you don't you need a "balun" (balanced-to-unbalanced) adapter. It looks like a really fat 1/4" adapter, and it's got the balancing transformer in it.
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