In a given gear, the pitch will increase as the RPM increases. After the shift to the next gear, though, rpm _decreases_after the shift because the ratio changes downward(to a lesser gear ratio)
Your second question would depend on the design of a given gearbox — there should be overlapping regions where the geartrain speed would be the same, but the exhaust note is determined by several factors — acceleration, RPM, muffler type, the grade the vehicle was traveling — so it’d be hard to say.
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