Introduction

Introduction to this “textbook” (for instructors & scholars).

Fundamentals

Basic notation.
Meter.

Voice-leading and model composition

Introduction to strict voice-leading.

Strict two-voice composition (species counterpoint)

Composing a cantus firmus.
Composing a first-species counterpoint.
Composing a second-species counterpoint.
Composing a third-species counterpoint.
Composing a fourth-species counterpoint.

Strict four-voice composition

Introduction to thoroughbass.
A brief history of basso continuo.
Generating Roman numerals from a figured bass line.
Composing in basso-continuo style.
Style and tendency.
Tendency tones and functional harmonic dissonances.
Realizing a figured bass in strict basso continuo style (video).

Melodic keyboard style voice-leading.
Melodic keyboard-style voice-leading schemata.
Realizing a figured bass line in melodic keyboard style (video).
Realizing an unfigured bass line (video).

Embellishing tones.

Harmony

Introduction to musical functions.
Harmonic functions.
Harmonic syntax - the idealized phrase.
Harmonic syntax - prolongation.

Classical cadence types.
Chromatically altered subdominant chords.
Applied chords.
Modal mixture.
Modulation.

Handouts and charts

Lead-sheet and figured-bass symbols.
Harmonies (Roman numerals and functional bass) by bass scale degree.

Form

Thematic Structure in the Classical Style

Introduction to Thematic Structure in the Classical Style.
The sentence.
The period.
Hybrid themes.
Compound themes.
External Expansions.
Internal Expansions.

Minuet form.

Sonata Form

Introduction to Sonata Theory.
Sonata form: exposition types.
- Structural Points of Arrival.
- Thematic Modules.
Sonata form: the recapitulation.
Sonata form: the development.

Rondo Form

Introduction to Rondo form.
Thematic Function in Rondo Form.
Five-Part Rondo.
Sonata Rondo.

Form in pop/rock music.

Classical theme types.
Introduction to musical functions.
Galant schemata.

Post-tonal music

Basics

Pitch (class).
Interval (class).
Modular 12 arithmetic.

Organizing Forces

Collections and Scales.
Symmetry and Centricity.

Set Theory

Pitch-Class Sets.
Normal Order.
Tranposition.
Inversion.
Set Class and Prime Form (1).
Set Class and Prime Form (2).
Complements.
Common Tones under Transposition.
Common Tones under Inversion.
Tranpositional Symmetry.

Twelve-Tone Theory

Basics.
Operations.
Intervallic Structure.
Derivation.
Invariance.

Analyzing atonal music.
Analyzing 12-tone music.
Glossary of atonal musical terms.

Sheet of blank chromatic-scale clock faces.

Pop/rock music

Syncopation in pop/rock music.

Text and music

Analyzing poetry.