Luminosity relies on GI, which is pseudo-random. You need high settings (GI Cache Detail and Sample Quality) to get more consistent results. Additionally, if you are using GISD, it is dependent on pixel values, so if you increase resolution, the area of GISD effect goes down proportionally speaking! (because it is defined in pixels) So you should increase your GISD pixel values as you increase resolution if you want the outcome to be the same as a lower resolution image.
- Oshyan