Before revision:  This note shows how to adapt the main technique used for rental harmony with miserly tenants, using a variant of Sperner's lemma, to rental harmony with quasilinear tenants .
After revision:  This note shows how to adapt the main technique used for rental harmony with miserly tenants, using a variant of Sperner's lemma, to a much more general class of preferences, that contains both miserly and quasilinear tenants as special cases .