Well, speaking for the Byzantine Rite (all 14 Byzantine Churches) there is virtually no correlation.
The subdeacon wears a sticharion (common to all clergy and, in fact, to altar servers as well) and an orarion (stole) that is worn crossed front and back to represent angels’ wings. The deacon wears an orarion that hangs from the left shoulder down the front and back although there is a “double orarion” that also hangs down the front and back on the left side but loops across the body (front and back) and under the right arm.
The priest wears a plain sticharion (the deacon/subdeacon wear fancy ones) and this is covered with a phelonian (the Eastern equivalent of a chasuble). The priest’s stole (called an epitrachelion) is similar to a Latin Rite priest’s stole except that it is sewn together below an opening to slip it over the head. The priest also wears a zone (a belt) and, if permitted, a diamond shaped “shield” called an epigonation. The priest may also wear a cross if permitted.
These vestments do not look like Latin vestments nor do they follow the Latin scheme for liturgical colors.