I saw the Gift live 2 yrs ago and Cyro Baptista was playing the jaw harp.

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I've wondered the same thing. Zorn releases are often bad about this, only

listing the very basic instruments that each contributor plays, while neglecting to identify who plays what extraneous parts. "The Gift" was particularly bad about that- who plays the jaw harp on the third track? What about the strings on the noirish song? Etc.