My wife and I want to experience a Ryokan (Japanese Inn) while in Japan in October. We are trying to decide if we should spend 2 nights in the Traditional Ryokan we plan to stay in or if one night will be enough to give us a real sense of what it is like. It costs about $425/night for the two of us including dinner and breakfast so cost is the reason why we haven't just booked the two nights in the Ryokan already. If we only stay one night in the Ryokan, we would spend the other night in a Western-style hotel.

Is one night enough or should we go for two nights to really have the authentic experience?