In case the find version does not support the -newermt feature, it is a little more tricky, e.g.
$ touch -t 201004201059 /tmp/file1
$ touch -t 201004201200 /tmp/file2
$ find . -newer /tmp/file1 -a ! -newer /tmp/file2
Regarding the -mtime, -atime and -ctime tests, they take in account fractions of the day but are related to the current time.