I'm sending this review to an Austin newspaper:
My first impression of "Amputecture" was that The Mars Volta had completely lost it and that they were yet another band whose potential stretched thin after 2 albums, but after a few intense headphone listens I was finally grabbed by what they are doing here, in a very intense way. This is by far their most challenging album, with fewer hooks and far more dense layering/experimentation, Fripp-ish guitar work and unconvential vocal harmonies than ever before. All kinds of strange instruments and odd electronic noises jump out at completely-random-yet-somehow-completely appropriate-moments. This album certainly doesn't contain anything resembling a radio hit, but it has some of the best things they've ever written: the hauntingly minimalistic "Vermicide" and the unsettingly straightforward free jazz/funk exploration of "Viscera Eyes" (seriously, I can't get enough of this song). The frequent acrobatic rhythm shifts of the first album have been replaced by slow-building passages where eerie chord progressions are buried under layers of unconvential melody and instrumentation. The end result is a more "vibey" and consistent sound that is ultimately more rewarding to the patient listener than their earlier work. Highly recommended.