EXS24, Logic’s stock sampler plugin, supports a maximum pitch bend range of one octave (12 semitones). However, it’s possible to extend this range with EXS24’s modulation matrix. In the screenshot below, the JP8 Mini patch has a pitch bend range of 12 semitones.

To extend this range, use the modulation matrix to map Pitch Bend (Source) to Pitch (Destination). The triangular slider to the left of each modulation module specifies the pitch bend range in cents. To add one octave, move the triangle all the way up until it reads 1200 cents.

In the screenshot below, I’ve added two modules each extending the range 1200 semitones for a total of 2400 semitones, or two octaves. When combined with EXS24’s default pitch bend setting of one octave, the range has been extended to three full octaves.