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Core Studies

Core Studies is a four-semester sequence covering the disciplines of Counterpoint, Harmony, and in the second year, Analysis. The class will meet for 1.5 hours twice per week.

Core Studies I

As an introduction to counterpoint, students will study the art of melody and the cantus firmus, and begin writing two-voice counterpoint in species one, two, and three. The study of harmony will include the following topics, with the goal of developing speed, accuracy, and confidence:

  • identifying scale degrees and intervals
  • identifying chords (i.e. Roman numeral) in context of a given key or in actual repertoire
  • recognizing different types of motion: oblique, similar, contrary
  • recognizing open/close spacing of chords as well as outer voices
  • matching or singing back individual pitches and short melodies when played on a piano
  • writing and labeling intervals, triads and 7ths in any inversion
  • writing and labeling chords using Roman numerals in any inversion
  • realizing individual chords from figures
  • error-detection in voice leading and chord construction

Core Studies II

The study of counterpoint continues with species one, two, and three, but this time in three parts. Harmony will focus on the following topics:

  • study of voice leading
  • basic functions of all diatonic chords in major and minor, and basic syntax of diatonic progressions – tonic, intermediate (pre-dominant), and dominant
  • cadential patterns—weak and strong
  • concept of expansion and prolongation through voice exchange, passing and neighboring chords

Core Studies III

The study of counterpoint continues with species four and five in both two and three parts. Harmony will focus on the following topics:

  • sequences
  • melodic and rhythmic figuration
  • modulation: applied dominants, modulation to any key
  • chromaticism: mixture, Neapolitan chords

Analysis is introduced in Core Studies III, including:

  • analysis and reduction of works from the repertoire
  • analysis of two- and three-part inventions and fugues
  • introduction to graphic analysis

Core Studies IV

The study of counterpoint continues with an introduction to combined species, a reduction of works from the repertoire to reveal the underlying counterpoint, canon and invention. Harmony will focus on the following topics:

  • augmented 6th chords
  • advanced chromaticism: common-tone chromaticism; altered dominants, 9ths, and 11ths; enharmonic reinterpretation; advanced modulation techniques (exposure)
  • tonality at the turn of the 20th century, including equal division of the octave, modes, pentatonic, whole-tone, octatonic and hexatonic scales

Analysis will continue with the analysis and reduction of works from the repertoire by composers such as Debussy, Ravel, Ives, Stravinsky, Bartok, etc.


Accelerated Core Studies

A two-semester “accelerated” version of the Core Studies curriculum covering basic forms, two- and three-part species counterpoint, and harmony (through chromaticism and 20th-century techniques) will be offered as a non-required “refresher” course for transfer students and as a required course for post-baccalaureate composers and conductors. For the latter, there will be an opportunity to test out of this requirement.

* This class is dependent on need and may not be offered every semester or every year. Depending on the students in the class, more focus can be directed to the subjects that need more attention, such as counterpoint, harmony, or form.



At the beginning of a student’s second year, Form is a one-semester course covering all elements of musical form, both small and large. Topics to include:

  • phrasing, periods and sentences in tonal music
  • different types and strengths of cadences
  • motive and motivic transformation
  • binary and ternary forms, dance suites
  • variations and rondo form
  • fugue exposition
  • sonata form, concerto form
  • motivic development and resulting forms found in 20th-century compositions

Post-Tonal Harmony

A continuation of the study of 20th-century harmony and beyond. Topics include:

  • semi-tonal and post-tonal harmonic vocabulary
  • other aspects of non-functional tonal music – pitch centricity and composition with motivic cells, expanding the limits of musical temporality (Messiaen), texture and orchestration, etc.
  • twelve-tone theory and extended serialism (inversion, retrograde, transposition, etc.)
  • understanding 20th-century processes and structures that replace tonal progressions

Harmony II

HRM 201–202; 2 s.h./term

Continues building on the basic progressions from Harmony I with new expansions and prolongations, phrase analysis, modulation to the dominant in major and to the mediant in minor, diatonic sequential progressions, 6-3 and 6-4 chord techniques, and melodic and rhythmic figuration.

Harmony III

HRM 301; 2 s.h./term

Covers advanced use of seventh chords, modal mixture, diatonic modulation to all keys, the Phrygian II chord, augmented sixth chords, and advanced chromaticism.

Counterpoint II

CPT 201–202; 1 s.h./term

The study of three-part species counterpoint, two-part Baroque counterpoint, and an introduction to combined species in three voices.

Counterpoint III

CPT 301–302; 1 s.h./term

Further study of combined species, double (i.e. invertible) counterpoint, and fugue.


THY 301–302; 2 s.h./term

The analysis of tonal music through the study of its voice-leading structure. This course will examine works from different genres, including binary and song forms, as well as complete sonata movements.

20th-Century Analysis

THY 401*; 2 s.h./term

A survey of analytical techniques based on original methods of composition and separately produced perspectives. A wide range of works will be studied, from early pieces of “free atonality” and impressionism to music written in the past 20 years.


Odd-numbered courses generally meet in the fall and even-numbered courses meet in the spring.

The designations "s.h." (semester hours) and "g.c." (graduate credits) indicate credit-hours given per term for undergraduate and graduate courses, respectively.

Yearlong, two-semester courses are designated by hyphenated course numbers. Students must successfully complete both semesters of required yearlong courses to satisfy the graduation requirement.

The symbol * indicates a course that is not offered every year.