When compared to a thicker wire, what sound characteristic would the a thinner wire have?

The thicker wire will have a lesser frequency when producing standing waves

Explanation:

where,

f = frequency of the fundamental mode in producing standing waves

l = resonating length

T = tension of the wire

m = linear density of the wire

So in a thicker wire the mass per a unit length (m) is higher than that of a thinner wire.

So if we get two wires under same tension which all other factors except thickness of the wire is identical the thicker wire will have a lesser frequency when producing standing waves.

This deduction is made by,

f ∝

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