The Jeongganbo notation, the first music notation system in East Asia capable of jointly expressing pitch and duration, has been extensively used in the Korean music tradition since its invention in the 15th century. While the Optical Music Recognition (OMR) field has addressed the issue of automatically transcribing music sheets into digital formats in a number of music notations from the Western tradition, no previous research has considered Jeongganbo scores. In this context, This work proposes a framework for the automatic recognition and transcription of Korean court music Jeongak (정악) in Jeongganbo notation utilizing synthetic data. Our evaluations show performance rates close to 90% success, validating the proposed approach.