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While citing a plethora of influences, to my ignorant, untrained ears the biggest influences I hear are Mr. Bungle and John Zorn, mainly ala Naked City. The music often very bizarre, blending pop, jazz, and even touches of grindcore with metal; the vocals are very Pattonesque. It's Jazz metal, but not typical; instead of having influences from "traditional" jazz or jazz fusion, they are heavily influenced by the spasmadic and crazy John Zorn brand of jazz.
I'm not sure where, exactly; it doesn't really belong in any other genre of metal than Experimental, but I think it's influences and styles warrant it's inclusion to RIO/Avant Prog.
What'cha think?