Most violinists of the Western classical tradition are untrained in the aural skills and left-hand techniques of microtonal intervals. This document surveys the nature of the problem and presents a manual for self-teaching the three-quarter tone step—the equal tempered ‘neutral second’ (N2) a quarter tone between the major and minor second intervals—through the melodic syntax of specific Persian classical music (PCM) modes. While the paper does not teach PCM performance, it does offer a method of melodic functional hearing through a new solmization system designed specifically for PCM. Additionally, the paper guides readers through the PCM repertoire by grouping modes with a shared functional usage of the N2. Combined with the pedagogical research of learning modalities and Edwin Gordon’s Music Learning Theory, these tools provide violinists with a method for achieving the aural accessibility and performance mastery of the N2. This process serves as a future model for learning unfamiliar intervals both within and without the Western classical tradition.