Tones to make up for lack of phonemes

I want to make a language that has just the bare minimum of phonemes,
preferably ones that anything with vocal cords can pronounce.  I was
thinking just bilabial stops with a bunch of tones to make up for major lack
of phonemes, but that would require a really good ear. Do any of you know
any other phonemes that could theoretically be pronounced by anything with a
mouth, vocal cords, and a capacity speak and understand language?

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