you may find by that by using tempo decimals you'll have better luck.
but only if this audio was played to a metronome and dead on to a fixed tempo.
try something like 132.14 rather than 132 or 133.
its done between the trenches man.
ive done it with great success but like I said only with stuff that's been dead on to a tempo map.
old tape recordings don't work well because even though they have a click track or what not, tape has a tendency to wow, flutter, go off by small amounts.
capstan motors that are powered by DC current are not as accurate as our digital brothers.