chirp-z spectrum of cross-correlation function of SSN and globally averaged SST ( ICOADS ).
The largest peak is at 170y and is ten times the magnitude of the peaks show in this detail. This is close to the length of the dataset of 165 years, so indicates a common rise rather than any periodicity.
Higher resolution read-off of the circa 11y pair gives : 10.12 and 11.22 y.
ICOADS SST v2.5 extracted from KNMI