Eastmet rhymes with:
grandmet, guillemette, aerojet, allnet, alphabet, amagansett, amorette, ansett, arpanet, asset, averette, avnet, avocet, backset, bayonet, bissonnette, carburete, cellnet, deskjet, dragnet, driftnet, epithet, ethernet, eurodebt, exocet, filenet, goodlet, goodlett, grandmet, greenslet, guillemette, handset, headset, heavyset, hoevet, imnet, inkjet, inlet, inset, instinet, internet, investnet, joliet, juliet, learjet, longuet, marantette, marmoset, massenet, mediaset, mestrallet, milliet, mindset, morrisett, navarette, navarrette, nicorette, onset, outlet, outset, parapet, raynet, robinette, rudnet, sassnet, selectnet, seniornet, somerset, spacenet, sublet, subset, sunset, telenet, turbojet, twinjet, tymnet, typeset, usenet, valiquette, valujet, videocassette
Eastmet sounds like:
eastend, eastwind, eighteenth, esteemed, estimate, estimated, excitement, existent, extant, extend, extended, extent, extenuate