there a chance it could be either a 120 or 104 BCD, check you rings they will be marked with the relevant BCD. As per the above post 120’s are harder to find than 104, but it might be possible that your S1000 has a removable spider (I’ve a S1400 that has the removable spider). Obviously not a cheap solution but replacing it with a 104 (X9/X7 or after-market) spider would make life easier long term
Had a quick search and the spider isn’t replaceable.. that said the SRAM site says there a 104/64mm BCD.. but then to add confusion CRC had a set of 120 BCD for sale!
PS: I doubt 1 tooth would make that much difference, I’d be looking at going down to a 36 myself (Not sure that possible on 120BCD)