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What does V+ represent on this schematic? Answered

http://blog.makezine.com/archive/2010/10/circuit-skills-led-color-organ-spon.html

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V+ represents the positive power supply that you need to apply to the OpAmps. The voltage level will depend on with OpAmp (operational amplifier) you use.

So...Could it just be the 12v which the rest of the circuit runs on?

V+ or Vcc usually represents Voltage on schematics...
Gnd is ground (-) adn Vcc is Postitive Voltage (+)

If you want to learn more about schematic symbols go to :
http://library.thinkquest.org/10784/circuit_symbols.html

Hope this helps!

In this case, it probably means +12V, since it's acting as the reference for a virtual ground circuit for the 12V driven system. They either forgot to label it +12V or meant for it to use a 12V reference-voltage source.