C O U R S E   M O D U L E S
1.	The Harmonic Series (Ch. 1-2)
2.	Generating Scales (Ch. 3)
3.	Pythagorean Tuning (Ch. 4)
4.	Just Intonation (Ch. 5)
5.	Meantone Temperament (Ch. 6)
6.	Equal Temperament (Ch. 8)
SELECTED TOPICS  (Ch. 7 & 9-15)
7.	Well Temperament (Ch. 7)
8.	Extended Just Intonation (Ch. 9-11)
	Equal Divisions of the Octave (Ch. 12-13)
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Thanks for a great semester!

Quotable

	Any tuning in which beautiful music has been written has earned its right to exist forever.
	– Kyle Gann

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

Required 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: EBSCOhost; IUP Website}

Course Documents

1. Syllabus (pdf)
   
• Daily Schedule (pdf)
• Links for Students
2. Listening/Analysis
• Gann 2019 Audio Examples
3. Handouts
• The Geometry of Tuning Theory
4. Activities
5. Digital Anthology
   
6. Terms & Concepts:
   
• Tuning Theory
  
• Microtonal Notation
  
• Mathematical
• Intervals
7. Software
8. Bibliography
• Articles

Projects

1. Teaching Demo (pdf)
   
• Teaching Demo Proposal (pdf) – Due: Fri., March 1, 11:59 pm
• Revised Teaching Demo Proposal (pdf) – Due: Fri., March 14, 11:59 pm
• Presentation Schedule (pdf)
2. Final Project (pdf)
• Final Project Proposal (pdf)
  
• Revised Project Proposal (pdf) – Due., Fri, April 12, 11:59 pm
• Presentation Schedule (pdf)

Online Resources

1. Chalmers, Divisions of the Tetrachord {Dartmouth.edu} (Chalmers 1992)
2. Cymatic music
• Grant, Making Sound Visible Through Cymatics {TED}
• Telfer, Cymatic Music
3. Deutsch, Illusions and Research
4. Duffin, Just Intonation in Renaissance Theory & Practice {Case Western; MTO} (Duffin 2006)
• Benedetti’s Puzzles
  
5. Frog Peak Music: A Composer's Collective {Frogpeak.org}
   
6. 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
  
7. Giedraitis, Alternative Tunings: Theory, Notation and Practice {TallKite.com} (Giedraitis 2019)
8. Grady, The [Erv] Wilson Archives
9. Hogan, The Nikil Hogan Show
   
• 179: Ross W. Duffin {YouTube}
  
10. Huygens-Fokker Foundation, Centre for Microtonal Music
11. Lamb, Sacred Realism
    
12. Lumantone Keyboard, Learning Lumatone {YouTube Playlist}
    
13. Mannfishh, Interval Studies {YouTube Playlist}
    
14. Mermikides, The Nature of Music {Gresham}
    
• The Art and Science of Tuning {Gresham}
  
• Musical Consonance and Dissonance: The Good, Bad and Beautifully Ugly {Gresham}
  
15. Monzo, Tonalsoft Encyclopedia of Microtonal Music Theory
    
16. Partch Instruments
• Corey, Partch Instruments {Partch.com}
• Szanto, Photographs of Instruments Built by Harry Partch and Heard in His Recorded Music {Corporeal.com}
17. Plainsound, Just Intonation and Microtonal Resources {Plainsound.org}
• Nicholson & Sabat, Fundamental Principles of Just Intonation and Microtonal Composition {Plainsoud} (Nicholson and Sabat 2018)
18. Rotem, Early Music Sources (EMS) {Website; YouTube Channel}
    
• Tuning & Temperament in Early Music {YouTube Playlist}
  
19. Schulter, Pythagorean Tuning and Medieval Polyphony {Medieval.org} (Schulter 1998)
    
20. Sethares, Tuning, Timbre, Spectrum & Scale (Sethares 2005)
    
21. Sevish, Sevish Music
    
22. Sevish & Weigel, Now and Xen Podcast
23. Temperley, Tuning and Temperament, in Britannica Academic {BA}
    
24. Terpstra, Siemen Terpstra's musical tuning website {SiemenTerpstra.com}
    
25. Wolf, Acoustics: Note Names, MIDI numbers and frequencies {UNSW}
26. Xenharmonic Wiki
• Software

Journals

1. 1/1: The Journal of the Just Intonation Network (1985-2007) {Frog Peak} 
2. Bridges Organization: Art and Mathematics {Bridges}
3. Early Music {See also: JSTOR}
4. Journal of Interdisciplinary Music Studies {MusicStudies.org}
   
5. Journal of the Acoustical Society of America {JASA}
   
6. Journal of the American Musicological Society {JAMS}
7. Journal of Mathematics and Music {Taylor & Francis; Music Library}
8. Music Theory Online {MTO}
9. New Music Box {New Music Box}
10. Perspectives of New Music {PNM}
11. Society for Music Theory (SMT)
• Music Theory Online {MTO}
  
• Music Theory Spectrum {OUP; JSTOR}
  
12. Sound American: The Just Intonation Issue {SA20}
13. Tempo {See also: JSTOR}
14. Untwelve: Exploring the notes between the notes {Untwelve}
    
15. Xenharmonikon

Main References

See also: BAIN MUSC 726T: Bibliography & Articles, and the Huygens-Fokker Foundation's Tuning & Temperament Bibliography

Barbour, J. Murray. 2004/1951. Tuning and Temperament: A Historical Survey. Mineola, NY: Dover. {GB; Full text: HathiTrust}

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

Benson, David. 2007. Music: A Mathematical Offering. Cambridge: Cambridge University Press. {GB; Full-Text: EBSCOhost; Website}

Blackwood, Easley. 2014/1985. The Structure of Recognizable Diatonic Tunings. Princeton NJ: Princeton University Press. {GB; TOC: JSTOR}

Rossing, Thomas, F. Richard Moore and Paul Wheeler. 2002. The Science of Sound, Third Edition. New York: Addison Wesley. {GB}