Edminster rhymes with:
minster, westminster, finster, minster, spinster, westminster, bedminster, buckminster, dunster, ernster, fenster, finster, ganster, leominster, minster, monster, muenster, munster, spinster, warminster, westminster
minster, westminster, finster, minster, spinster, westminster, bedminster, buckminster, dunster, ernster, fenster, finster, ganster, leominster, minster, monster, muenster, munster, spinster, warminster, westminster