1. Why does a warm horn play sharper than a cold horn?

Sound travels faster in warm air than in cold air. This means that a sound
wave gets from one end of a piece of tubing faster if the air is warmer. In
turn this means that the resonant frequency of a particular length of tubing
is higher when the air inside is warmer.

2. Would different alloys effect how much the pitch changes with
temperature?

Not to any significant degree. In principle, different alloys expand by
different amounts with changes in temperature, thus increasing the length of
the resonant tube and so reducing its resonant frequency. This counteracts
the effect of sound travelling fater in the air inside. But within the
ordinary range of room temperatures, the amount by which metal expands with
increasing temperature is insignificant compared to the increase in the
speed of sound in air over the same temperature range. So the effect of the
air is the dominant effect.

3. And finally, does a tuning fork go a little sharp when it's warmed?

No. If anything it would go *very* slightly flat. But you would probably
need some pretty good measuring equipment to detect the change over a
temperature range within normal "room temperature" limits. The unassisted
human ear isn't going to notice any diffierence at all.

Regards
Jonathan West
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