Inquiry-Based Music Theory
an open, interactive, online textbook for college music theory

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1) Pitches and Clefs

Overview 1a - Pitches and Clefs
Examples 1a - Pitches and Clefs
Lesson 1a - Pitches and Clefs
Overview 1b - Labeling Pitches
Examples 1b - Labeling Pitches
Lesson 1b - Labeling Pitches

2) Intervals, Scales, and Keys

Overview 2a - Identifying and Labeling Intervals
Examples 2a - Identifying and Labeling Intervals
Lesson 2a - Identifying and Labeling Intervals
Overview 2b - Scales and Scale Degrees - Diatonic, Pentatonic, and Chromatic
Examples 2b - Scales and Scale Degrees - Diatonic, Pentatonic, and Chromatic
Lesson 2b - Scales and Scale Degrees - Diatonic, Pentatonic, and Chromatic
Overview 2c - Key Signatures
Examples 2c - Key Signatures
Lesson 2c - Key Signatures

3) Triads, Seventh Chords, and Leadsheet Notation

Overview 3a - Triads
Examples 3a - Triads
Lesson 3a - Triads
Overview 3b - Seventh Chords
Examples 3b - Seventh Chords
Lesson 3b - Seventh Chords
Overview 3c - Leadsheet Notation
Examples 3c - Leadsheet Notation
Lesson 3c - Leadsheet Notation

4) Rhythm and Regular Meters

Overview 4a - Simple Meters
Examples 4a - Simple Meters
Lesson 4a - Simple Meters
Overview 4b - Compound Meters
Examples 4b - Compound Meters
Lesson 4b - Compound Meters
Overview 4c - Metric perception
Examples 4c - Metric perception
Lesson 4c - Metric perception

5) Counterpoint and Embellishing Shapes

Overview 5a - Introduction to Counterpoint
Examples 5a - Introduction to Counterpoint
Lesson 5a - Introduction to Counterpoint
Overview 5b - Cantus Firmus and 1:1 Counterpoint
Examples 5b - Cantus Firmus and 1:1 Counterpoint
Lesson 5b - Cantus Firmus and 1:1 Counterpoint
Overview 5c - 2:1 Counterpoint and Embellishing Shapes
Examples 5c - 2:1 Counterpoint and Embellishing Shapes
Lesson 5c - 2:1 Counterpoint and Embellishing Shapes

6) Introduction to Harmonic Analysis

Class Reading - Style and Tendency
Class reading - An introduction to basso continuo keyboard-style voice-leading
Discussion of class readings
Overview 6a - Roman Numerals in Harmonic Analysis
Examples 6a - Roman Numerals in Harmonic Analysis
Lesson 6a - Roman Numerals in Harmonic Analysis
Overview 6b - Voice-leading Considerations in Chorale-style Harmony
Examples 6b - Voice-leading Considerations in Chorale-style Harmony
Lesson 6b - Voice-leading Considerations in Chorale-style Harmony

7) Harmonic Function

Class reading - What is harmonic funtion?
Overview 7a - Diatonic Progressions Derived from Circle-of-fifths Voice-leading
Examples 7a - Diatonic Progressions Derived from Circle-of-fifths Voice-leading
Lesson 7a - Diatonic Progressions Derived from Circle-of-fifths Voice-leading
Overview 7b - Performing a Harmonic Analysis
Examples 7b - Performing a Harmonic Analysis
Lesson 7b - Performing a Harmonic Analysis
Overview 7c - Cadences
Examples 7c - Cadences
Lesson 7c - Cadences
7d Overview - The Phrase, Sub-phrase, and Motive
7d Examples - The Phrase, Sub-phrase, and Motive
7d Lesson - The Phrase, Sub-phrase, and Motive

8) The Overtone Series

8a Overview - The Overtone Series
8a Examples - The Overtone Series
8a Lesson - The Overtone Series

9) Non-Chord Tones

9a Overview - Non-chord Tones
9a Examples - Non-chord Tones
9a Lesson - Non-chord Tones
9b Overview - Using Non-Chord Tones to Inform Harmonic Analysis
9b Examples - Using Non-Chord Tones to Inform Harmonic Analysis
9b Lesson - Using Non-Chord Tones to Inform Harmonic Analysis

10) An Introduction to Part-writing

Overview 10a - Fundamentals of Part-writing
Examples 10a - Fundamentals of Part-writing
Lesson 10a - Fundamentals of Part-writing
Overview 10b - Part-writing Errors
Examples 10b - Part-writing Errors
Lesson 10b - Part-writing Errors
Overview 10c - Error detection
Examples 10c - Error detection
Lesson 10c - Error detection

11) Practical Part-writing

Overview 11a - Voice-leading for Root Position Triads and Seventh Chords
Examples 11a - Voice-leading for Root Position Triads and Seventh Chords
Lesson 11a - Voice-leading for Root Position Triads and Seventh Chords
Overview 11b - Voice-leading for First and Third Inversion Chords
Examples 11b - Voice-leading for First and Third Inversion Chords
Lesson 11b - Voice-leading for First and Third Inversion Chords
Overview 11c - Voice-leading for Second Inversion Chords
Examples 11c - Voice-leading for Second Inversion Chords
Lesson 11c - Voice-leading for Second Inversion Chords
11d Overview - Tonal Sequences
11d Examples - Tonal Sequences
11d Lesson - Tonal Sequences

12) Instrument Transpositions, Ranges, and Score Reduction

12a Overview - Instrumental Transpositions and Ranges
12a Examples - Instrumental Transpositions and Ranges
12a Lesson - Instrumental Transpositions and Ranges
12b Overview - Score Reading and Reduction
12b Examples - Score Reading and Reduction
12b Lesson - Score Reading and Reduction

13) Phrasing and Texture

13a Examples - The Period
13a Lesson - The Period
13b Examples - The Sentence
13b Lesson - The Sentence
13c Examples - Combining Periods and Sentences
13c Lesson - Combining Periods and Sentences
13d Examples - Musical Textures
13d Lesson - Musical Textures

14) Secondary Dominant Functions

14a Examples - Secondary Dominant Chords
14a Lesson - Secondary Dominant Chords
14b Examples - Secondary Leading-tone Chords
14b Lesson - Secondary Leading-tone Chords

15) Further Secondary Functions

15a Examples - More Secondary Dominant Functions
15a Lesson - More Secondary Dominant Functions
15b Examples - Non-dominant Function Secondary Chords
15b Lesson - Non-dominant Function Secondary Chords
15c Examples - Irregular Usage of Secondary Chords
15c Lesson - Irregular Usage of Secondary Chords

16) An Introduction to Modulation

16a Examples - Defining modulation
16b Lesson - Defining modulation
16b Examples - Pivot chords
16b Lesson - Pivot chords
16c Examples - Alternate modulatory methods
16c Lesson - Alternate modulatory methods

17) Mode Mixture

17a Examples - An introduction to mode mixture
17a Lesson - An introduction to mode mixture
17b Examples - Advanced mode mixture
17b Lesson - Advanced mode mixture

18) Chromatic Chords

18a Examples - Neapolitan chords (bII)
18a Lesson - Neapolitan chords (bII⁶)
18b Examples - Augmented sixth chords
18b Lesson - Augmented sixth chords
18c Examples - Common-tone diminished chords
18c Lesson - Common-tone diminished chords

19) Extended Tertian Harmony

19a Examples - Extended Tertian Harmonies and Non-chord Tones
19a Lesson - Extended Tertian Harmonies and Non-chord Tones

20) Advanced Chromatic Techniques

20a Examples - Mediant harmony and Idealized Voice-leading Intervals
20a Lesson - Mediant harmony and Idealized Voice-leading Intervals
20b Examples - Advanced Modulatory Techniques
20b Lesson - Advanced Modulatory Techniques
20c Examples - Chromatic Sequences
20c Lesson - Chromatic Sequences

21) Beyond Simple and Compound Meters

21a Examples - Advanced rhythm and meters
21a Lesson - Advanced rhythm and meters

22) An Introduction to Non-Diatonic Materials

22a Examples - Non-diatonic scales
22a Lesson - Non-diatonic scales
22b Examples - Pitch-class integer notation
22b Lesson - Pitch-class integer notation

23) An Introduction to Post-Tonal Analysis

23a Examples - Basic PC Set Manipulation
23a Lesson - Basic PC Set Manipulation
23b Examples - PC Set Inversion
23b Lesson - PC Set Inversion
23c Examples - PC Set Prime Form
23c Lesson - PC Set Prime Form
23d Examples - Using Pitch Class Sets in Analysis
23d Lesson - Using Pitch Class Sets in Analysis
23e Examples - Serialism and Tone Rows
23e Lesson - Serialism and Tone Rows

Assignments

Week 2 Assignment
Week 3 Assignment
Week 4 Assignment
Week 5 Assignment
Week 6 Assignment
Week 7a Assignment
Week 7b Assignment
Week 9 Assignment
Week 10 Assignment
Week 11 Assignment
Week 12 Assignment
Final analysis project

Final Project Notes and Discussion

Beethoven Trio - large-scale form
Beethoven Trio - harmonic analysis

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Inquiry-Based Music Theory OER Text Book

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Chapter 13) Phrasing and Texture
13a Lesson - The Period ❯

13a Examples - The Period

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