  During its two-year prime mission, the Transiting Exoplanet Survey Satellite
(TESS) is obtaining full-frame images with a regular 30-minute cadence in a
sequence of 26 sectors that cover a combined 85% of the sky. While its primary
science case is to discover new exoplanets transiting nearby stars, TESS data
are superb for studying many types of stellar variability, with the number of
publications using TESS data for other areas of astrophysics keeping pace with
exoplanet papers. Following the conclusion of its prime mission in July 2020,
TESS will revisit the sky in an extended mission that records full-frame images
at a faster ten-minute cadence. In this note, I demonstrate that choosing a
large submultiple of the original exposure times for the new cadence limits the
synergy between prime and extended TESS mission data since both sampling rates
produce many of the same Nyquist aliases. Adjusting the extended mission
exposure time by as little as one second would largely resolve Nyquist
ambiguities in the combined TESS data set.
