Re: Mrrzy's comment:

A friend of mine has a son who completed a BA in Mathematics and an MA in Computers at Princeton and Stevens while keeping a thriving concert pianist career alive. He is Russian and his language skills were so poor at the time that the NYC School system wanted to put him in remedial classes. (I wander).

The point is - he claims that Mathematics is a perfect science and Music is a sub science of Mathematics. His music and math studies were, to him, one.

So we're back to two kinds of people - lumpers and splitters. I myself am an elitist lumper, something akin to an exclusionist snob with wrecked cars in her front yard.