# HMM-based speech recognition/synthesis: state representation of monophones and triphones

In literature, a monophone is represented with 3 states.

When doing context dependent clustering, 3 states are used to represent a triphone.

Why is the triphone represented with 3 states and not 5? Doesn't modeling with 3 states reduce the information?

My current understanding is that each of the phones in a triphone corresponds to each of the states. For example, given a triphone 'k-a+b', then the first state corresponds to 'k', etc.