This is 2021 and someone’s post from 2013 helped solve my problem. I’m posting some extra info here for anyone else that finds this.

My clock in the RYTM was going double the speed of the clock in the Reaper DAW.
I discovered it was because the MIDI track that receives a send from the recorded MIDI track and then sends it to RYTM also had an input set to all MIDI inputs. So this track was receiving another clock and sending double clocks to the RYTM.
All of this was happening inside the DAW, so be careful because it’s possible to send multiple clocks to your hardware from one DAW via USB in this way. Make sure your Elektron only receives one source of clock via USB, from only one track in your DAW.