Well, TG were undoubtedly the first industrial band, and launched Industrial Records. The term 'industrial', however, was actually coined by Monte Cazazza.

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it was either them or Suicide, not really sure.

I've always maintained Industrial came from experimental techniques used by musique concrète/tape manipulation composers, but here applied to Rock music instead of Classical. In fact I'd go so far as to label Edgar Varèse as Industrial music's Grand-daddy!

Well, you're right, but early '70s Kraut-Rock bands like Faust, Neu!, Kraftwerk, Popul Vu, etc went about that first, which is why I said Industrial music followed the logical path laid by their works.

Mmmm, yes, their 1st 2 delectable albums