Juilliard Extension Division Fall 2024
Music Theory & Analysis
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)
The Music Theory and Analysis program helps musicians foster a deeper understanding of the musical literature through the study of its syntax, structure, and styles. Throughout these studies, students develop and refine their musical instincts, expand their knowledge of musical repertoire, and apply this knowledge creatively through model composition projects. The Music Theory & Analysis courses are for students who are interested in composition or earning academic credit. The program begins with the Elements of Music, which begins with the basic language of music theory and is open registration, no application required. It then progresses into the five-semester sequence of Music Theory and Analysis I-V. Advanced electives are also offered to expand students’ theoretical knowledge and analytical skills in specific time periods and genres.
Certificate Information
The Core Musical Skills Certificate at Juilliard Extension is a comprehensive program offering rigorous courses in Music Theory and Ear Training, providing students with practical knowledge essential for musicians. Designed to be completed within two to four years, the program aligns with undergraduate courses at Juilliard and requires dedicated preparation outside of class time, ensuring a solid foundation in musical expertise.
Application Information
All music theory & analysis offerings require an online application to be considered for enrollment.
Click here to apply for Music Theory & Analysis course. Application deadline: Wednesday, September 4; 5pm ET.
Click here to apply for Jazz Theory & Analysis courses. Application deadline: Wednesday, September 4; 5pm ET.
Introduction to Music Theory & Analysis
Music Theory & Analysis
Jazz Theory & Analysis
Vocal Music Theory
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