submitted, distributed, apportioned, furnished, meted out, doled out, applied, provided, allocated, dispensed, parceled out, bestowed, portioned, given, supplied. Some work better than others. You'll just have to see how they roll off the tongue.

My guess is that "administered" does not have quite the meaning you want. Try these: Since music is transmitted to both sides of the brain... Since music reaches both sides of the brain... Since music is processed by both sides of the brain...

Of Rafael's words, the only replacements we'd actually say would be: given or supplied... My first thought was "given".