An Earth orbit with a period of 1 sidereal day (and zero inclination) is a geosynchronous orbit, orbits slightly above and below that are supersynchronous and subsynchronous orbits, and a Molniya orbit (or the MEO of the GPS satellites) designed with a half-day period is a semi-synchronous orbit.
I am guessing that an orbit with a period of 2 sidereal days might be called a bisynchronous orbit if it turned out to be useful. Right now I don't see that term outside of KSP.
What would an Earth orbit designed to have a period of a rational fraction of a sidereal day be called. For example a ~16 hour orbit designed to pass over the same location on earth every ~48 hours having a period of 2/3 (2:3) of a sidereal day?
I thought that would fall under a general category of synchronous orbits, but it seems synchronous refers specifically to 1:1. Is there a different term for the group of orbits synchronized to rational numbers of sidereal days?