Both Sony A7c and Sony RX1R have Full frame sized 24.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
One other difference between these two cameras that is worth mentioning is that Sony RX1R's sensor doesn't have an anti-alias (Low-Pass) filter. 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 A7c and RX1R sensor size comparison.
Sensor Size and Resolution Comparison image of Sony A7c and Sony RX1R Cameras
Sony A7c and Sony RX1R 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.
DxOMark Sensor Scores
Both Sony A7c and Sony RX1R sensors have been tested by DxoMark. DxoMark scores camera sensors for color depth (DXO Portrait), dynamic range (DXO Landscape) and low-light sensitivity (DXO Sports), and also gives them an overall score. Of the two cameras that we are comparing, A7c has scored 95, 4 points higher than RX1R.
Model
Overall
Color Depth
Dynamic Range
Low-light ISO
Sony A7c
95
25.0 bits
14.7 Evs
3407 ISO
Sony RX1R
91
25.0 bits
13.6 Evs
2537 ISO
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
Sony A7c
or the
Sony RX1R ,
including hyperfocal distance.