Nikon D7500 has a
21.0MP APS-C (23.5 x 15.7 mm ) sized CMOS sensor and features Expeed 5 processor. On the other hand, Ricoh GR III has a
24.0MP APS-C (23.5 x 15.6 mm ) sized CMOS sensor .
Another similarity between these two cameras is that both Ricoh GR III and Nikon D7500 sensors lack anti-alias (Low-Pass) filters. Removing anti-alias filter increases the sharpness and level of detail but at the same time, it increases the chance of moiré occurring in certain scenes.
Below you can see the D7500 and GR III sensor size comparison.
Sensor Size and Resolution Comparison image of Nikon D7500 and Ricoh GR III Cameras
Nikon D7500 and Ricoh GR III have almost the same sensor size, so neither of them has any significant advantage over the other in terms of providing control over depth of field when used with the same focal length and aperture.
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
Nikon D7500
or the
Ricoh GR III ,
including hyperfocal distance.