This is the 9075th most frequent Russian word.
рязанской
"Рязанской" means "Ryazan's" or "of Ryazan," relating to the city or region of Ryazan in Russia.
Here, "рязанской" is used as an adjectival form of "Рязань" (a city and region in Russia), describing the noun "области" (region).
Я путешествовал по рязанской области и наслаждался удивительными пейзажами.
I traveled through the Ryazan region and enjoyed the amazing landscapes.
In this case, "рязанской" modifies the noun "традиции" (tradition), implying it originates or is associated with Ryazan.
Он рассказал мне об одной рязанской традиции, которая передается из поколения в поколение.
He told me about a Ryazan tradition that is passed down from generation to generation.
Here, "рязанской" describes the noun "деревни" (village), indicating the geographical location of the village in Ryazan.