C O U R S E   M O D U L E S
1.	The Harmonic Series
2.	Generating Scales
3.	Pythagorean Tuning
4.	Just Intonation
5.	Meantone Temperament
6.	Well Temperament
7.	Equal Temperament
	Special Topics
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Thanks for a great summer term!

Quotable

	Numbers...are eternal, and unvarying from culture to culture, from eon to eon.
	– Kyle Gann, The Arithmetic of Listening

Course Description

Tuning theory for contemporary musicians with a focus on the theory, analysis, and
practice of microtonality in historical and contemporary contexts.

Prerequisite: Undergraduate tonal harmony and voice leading

Textbook

Gann, Kyle. 2019. The Arithmetic of Listening: Tuning Theory and History for the Impractical Musician.
Urbana, IL: University of Illinois Press. {Table of Contents}

Login at: EBSCOhost, or purchase the book {IUP Website}

Course Documents

1. Syllabus (pdf)
• Daily Schedule (pdf)
• Online Learning Addendum (in Blackboard)
  
• Links for Students
2. Research Project
• Research Project Overview (pdf)
• Project Proposal (pdf)
• Final Presentation and Deliverables (pdf)
  
3. Asynchronous Thursday Activities:
• #1: Tuning and Temperament in Early Music (pdf)
  
• #2: Contemporary Microtonal Topics (pdf)
  
• #3: Final Presentation Reflections (pdf)
4. Listening/Analysis
• Gann 2019 Audio Examples
5. Bibliography
6. Articles
7. Handouts
8. Terms & Concepts:
• Intervals
• Mathematical Terms & Concepts
• Tuning Theory Terms & Concepts
  
9. Software

Library Resources

1. Grove/Oxford
   
2. Harvard Dictionary
   
3. JSTOR
4. Naxos Music Library
   
5. FindIt @ UofSC

Online Resources

1. Acoustics
• Wolf, Note Names, MIDI numbers and frequencies {UNSW}
2. Boston Microtonal Society
   
3. Early Music Sources, Tuning & Temperament in Early Music {YouTube Channel}
• Temperaments - Historical and Technical Overview
• Just Intonation in the Renaissance
• Historical Pitch
  
4. Gann, Information on Alternate Tunings
• Just Intonation Explained (2005)
• An Introduction to Historical Tunings (1998)
• Anatomy of an Octave (2020)
• How to Use Ben Johnston's Just Intonation Notation
  
5. Grady, The Wilson Archives
6. Huygens-Fokker Foundation, Centre for Microtonal Music
• What is microtonal music?
7. Lamb, Sacred Realism
   
8. Monzo, Tonalsoft Encyclopedia of Microtonal Music Theory
   
9. Sabat, Music & Writings
• The Harmonic Series 1-64 (2018) {Sabat.space}
• Fundamental Principles of Just Intonation and Microtonal Composition (2018) {Sabat.space}
  
• Just Intonation and Microtonal Resources {PlainSound.org}
  
10. Sethares, Tuning, Timbre, Spectrum & Scale (Sethares 2005)
    
11. Sevish & Weigel, Now&Xen Podcast
12. Xenharmonic Wiki
• Software

Journals

1. 1/1: The Journal of the Just Intonation Network (1985-2007) {Frog Peak}
   
2. Early Music {JSTOR}
3. Journal of Interdisciplinary Music Studies {MusicStudies.org}
   
4. Journal of the American Musicological Society {JAMS}
5. Music Theory Online {MTO}
6. New Music Box {NMB}
7. Perspectives of New Music {PNM}
   
8. Sound American: The Just Intonation Issue {SA20}
9. Tempo {JSTOR}
   
10. Xenharmonikon

Bibliography

BAIN MUSC 726T: Bibliography & Articles

Huygens-Fokker Foundation, Tuning & Temperament Bibliography

References

Benade, Arthur. Fundamentals of Musical Acoustics. 1990. Mineola, NY: Dover. {GB}

Blackwood, Easley. 2014/1985. The Structure of Recognizable Diatonic Tunings.
Princeton NJ: Princeton University Press. {GB; Full-text: JSTOR; Table of Equal Tunings 12-75, pp. 293-294: JSTOR}.

Pierce, John. 1992. The Science of Musical Sound. New York: W. H. Freeman. {GBd}

Roederer, Juan. 2008/1973. The Physics and Psychophysics of Music: An Introduction, 4th ed. New York: Springer. {GB}

Sethares, William A. 2005. Tuning, Timbre, Spectrum, Scale, 2nd ed. New York: Springer. {GB; Website}