Sorry for the delay; real life getting in the way!
Thank you all for your help, and Brian for your email - especially while you’re travelling. Turns out that it was those LEDs - replacing them fixed the problem. I’d obviously done something that had damaged them (soldering while the monome was plugged in, probably).
Lots of tidying up solder bridges and now I have a fully functioning monome. Extra flux is a wonderful and useful thing. Thanks everyone.