A while back, I found the brand of display module that’s used in the Analog Four. (link below) It matches the one in the excellent teardown by Pete Brown (aka psychlist). It’s probably safe to assume it’s the same display in the Rytm. Maybe the specs might help the search for a matching OLED? I was never able to find one. The size is one thing, matching interface protocol might be a challenge? Out of my league here, but it seems so do-able. There are a lot of folks doing OLED upgrades for other old synths…
Here’s the original display module used in the A4, and likely the Rytm. Maybe someone with some deeper tech knowledge could comment on swap-ability with OLEDs…?
http://www.winstar.com.tw/products/graphic-lcd-display-module/122x32-graphic.html
Winstar 122x32 Graphic LCD Display Module
Model No. WG12232A
►Available for internal oscillation (A Type), External oscillation (C Type) 2KHz
►Built-in controller Avant (SBN1661G) or equivalent
►1/32 duty cycle
►Negative voltage optional for +3V power supply
►Chinese version: WG12232L
►Interface: 6800