The gharanas of Hindustani music, which began as constructs of social organization arising from historical circumstances, evolved very specific styles of rendition. These styles of rendition, which we refer to as gayakis, represent unique combinations of ornamentation technique, composition and raga repertoire, and integration of rhythmic variation (layakari). Traditionally, musicians who belonged to a particular gharana developed their musical style using the foundational principles of their gharana. Our study analyzes four major gharanas of khayal, namely Jaipur, Agra, Gwalior, and Kirana. We specifically consider how melody and time are correlated in each style, through recordings of maestros from each gharana. The utility of this study is based on the notion that musicians of the modern era are better suited to formulating individual styles in light of information that they can glean from an elemental study of each of these foundational gayakis.