Exeter rhymes with:
lassetter, resetar, rossiter, arbiter, auditor, barometer, brandstetter, branstetter, depositor, deruiter, glastetter, greditor, helmstetter, hemmeter, hostetter, karstetter, kerstetter, kiesewetter, klawitter, lassetter, leadbetter, non-sequitor, parmeter, photometer, progenitor, rastetter, resetar, rossiter, sequitur, telemarketer, tensiometer
Exeter sounds like:
easter, ector, ecuador, equator, escudero, ester, esther, estuary, executor, exterior, extra, eyster