BAIN MUSC 726T
Tuning Theory
Articles
Balzano, Gerald J. "The Group-Theoretic
Description of 12-Fold and Microtonal Pitch Systems." Computer Music
Journal 4/4 (Winter 1980): 66-88. {JSTOR}
Boatwright, Howard. "Ives' Quarter-Tone
Impressions."
Perspectives of New Music 3/2 (Spring - Summer,
1965): 22-31. {
JSTOR}
Burns, Edward. 2012/1982. "Intervals,
Scales, and Tuning." In
The Psychology of Music, 3rd ed, edited
by Deutsch, Diana. ed. New York: Academic Press. {
GB}
Carey, N. and D. Clampitt. 1989. "Aspects of
well-formed scales."
Music Theory Spectrum 11/2: 187-206. {
JSTOR}
____________. 1987. "Tuning at the
Crossroads."
Computer Music Journal 11/1 (Spring 1987): 29-42.
Cambridge, MA. {
JSTOR}
Clark, Philip. 2013. "The tuning wars:
‘Equal temperament destroys everything."
Gramophone (Wed., Dec.
4, 2013). {
Gramophone.co.uk}
Crismani, Dylan. "The Symmetry of a Tonnetz:
Un-Transposable Harmonic Modes, and Modes of Synthesized Inversional
Symmetry."
Xenharmonikon (Feb. 24, 2021). {
Xenharmonikon}
Crocker, Richard L. 1963/1964. "Pythagorean
Mathematics and Music."
The Journal of Aesthetics and Art Criticism
22/2 (Winter 1963): pp. 189-198 {
JSTOR};
22/3 (Spring 1964): pp. 325-335.{
JSTOR
}
Cutting, Court B. 2018. "Microtonal Analysis
of 'Blue Notes' and the Blues Scale."
Empirical Musicology Review
13/1-2 (2018). {
EMR}
Doty, David B. 2018. "Musical Ratios: The
Why, How and Wherefore."
Sound American (SA 20) {
SA
20}
Duffin, Ross. 2006. "Just Intonation in
Renaissance Theory and Practice."
Music Theory Online 12/3
(October 2006) {
MTO;
See also:
Case.edu}
Fineberg, Joshua. 2000. "Guide to the Basic
Concepts and Techniques of Spectral Music." Contemporary Music Review
19/2: 81-113.
Fonville, John. "Ben Johnston's Extended
Just Intonation: A Guide for Interpreters."
Perspectives of New Music
29/2 (Summer 1991): 106-137. {
JSTOR}
Gann, Kyle. 2009. "Key Eccentricity in Ben
Johnston's Suite for Microtonal Piano."
Thirty-One 1 (Summer
2009). {
HFF}
_________. 2000. "Between U S: A
Hyperhistory of American Microtonalists."
New Music Box
(September 1, 2000). {
NMB}
_________. 1993. "La Monte Young's The
Well-Tuned Piano."
Perspectives of New Music 31/1 (Winter,
1993): 134–162. {
JSTOR}
Gilmore, Bob. 1995. "Changing the Metaphor:
Ratio Models of Musical Pitch in the Work of Harry Partch, Ben Johnston,
and James Tenney."
Perspectives of New Music, 33/1/2 (Winter-
Summer 1995): 458-503. {
JSTOR}
Haack, Joel K. 1999. "The Mathematics of the
Just Intonation Used in the Music of Terry Riley."
Proceedings
of the Bridges: Mathematical Connections in Art, Music, and Science
Conference (1999): 101–110. {
Bridges
Archive}
Hasegawa,
Robert. 2011. “Clashing Harmonic Systems in Haas’s ‘Blumenstück’ and
‘in vain’.” Music Theory Spectrum 37/2 (Issue 2): 204–223.
Hero,
Barbara and R. M. Foulkrod, 1999. “The Lambdoma matrix and harmonic
intervals.” IEEE Engineering in Medicine and Biology Magazine
18/2 (March-April 1999): 61-73.
Ives, Charles. 1962. "Some Quarter-Tone
Impressions." In
Essays Before a Sonata, the Majority and Other
Writings. New York: Norton. {
GB}
Johnston, Ben. 1976. "Rational Structure in
Music." In
Maximum Clarity and Other Writings on Music, edited
by Bob Gilmore. Urbanna, IL: University of Illinois Press. {
JSTOR}
Keislar, Douglas. 1991. "Six American
Composers on Nonstandard Tunings: Easley Blackwood, John Eaton, Lou
Harrison, Ben Johnston, Joel Mandelbaum, William Schottstaedt."
Perspectives
of New Music 29/1 (Winter 1991): 176-211. {
JSTOR}
Levin, Theodore and Michael Edgerton. 1999.
"The Throat Singers of Tuva."
Scientific American (September
1999). {
JSTOR}
Liern, Vicente. 2005. "Fuzzy tuning systems:
the mathematics of musicians."
Fuzzy Sets and Systems 150
(2005): 35–52.
Lindley, Mark and Ronald Turner-Smith. 1993. "An Algebraic Approach to
Mathematical Models of Scales."
Music Theory Online 0/3 (June
1993). {
MTO}
McCartin, Brian J. "Prelude to Musical
Geometry."
The College Mathematics Journal 29/5 (Nov., 1998):
354–370. {
JSTOR}
"Prelude to Musical Geometry", p.364, Brian
J. McCartin, The College Mathematics Journal, Vol. 29, No. 5 (Nov., 1998),
pp. 354-370.
Milne, A., D. Bulger, and S. Herff.
"Exploring the space of perfectly balanced rhythms and scales."
Journal
of Mathematics & Music 11 2/3 (Jul.-Nov. 201): 101-133. {
Ebscohost}
Milne, A., D. W. Bulger, and W. Sethares.
"Perfect Balance: A Novel Principle for the Construction of Musical Scales
and Meters." MCM 2015 (June 2015).
Milne, Andrew, William Sethares, and James
Plamondon. 2007. "Isomorphic Controllers and Dynamic Tuning: Invarint
Fingering over a Tuning Continuum."
Computer Music Journal 31/4
(Winter 2007). {
MIT
Press Direct}
Muzzulini, Daniel. 2020. "Isaac Newton's
Microtonal Approach to Just Intonation."
Empirical Musicology Review
15/ 3-4. {
EMR}
Nicholson, Thomas and Marc Sabat.
2018.
Fundamental Principles of Just Intonation and Microtonal
Composition. Available online at: <
https://marsbat.space/pdfs/JI.pdf>.
O'Donnell, John. 2006. "Bach's Temperament,
Occam's Razor, and the Neidhardt Factor."
Early Music 34/4
(November 2006): 625-633. {
JSTOR}
Polansky, Larry. 2018. "A Few Words About Tuning."
Sound American
(SA 20) {
SA
20}
Rahn, Jay. 1998. "Practical Aspects of
Marchetto’s Tuning.
Music Theory Online 4/6 (November 1998). {
MTO}
Sabat, Marc. 2015. "Pantonality generalized:
Ben Johnston's artistic researches in extended just intonation."
Tempo
69/272 (APRIL 2015): pp. 24–37. Available online at: <
https://marsbat.space/pdfs/Pantonality.pdf>.
Sabat, Marc and Thomas Nicholson. 2018.
"Fundamental Principles of Just Intonation and Microtonal Composition."
Plainsound
Music Edition. Available online at: <
https://marsbat.space/pdfs/JI.pdf>.
Schweinitz, Wolfgang von. 2011. "Iannis
Xenakis’ Contributions to 20th Century Atonal Harmony and to the History
of Equal Temperament: The Aristoxenean Sieve Theory, and the Ptolemaic
Alternative Some Thoughts on Our Perception of Musical Intervals."
Available online at: <
https://www.plainsound.org/pdfs/xenakis.pdf>
Scholtz, Kenneth P. 1998. "Algorithms for
Mapping Diatonic Keyboard Tunings and Temperaments."
Music Theory
Online 4/4 (July 1998). {
MTO}.
Schubert, Peter N. 2017. "Thomas Campion’s
'Chordal Counterpoint' and Tallis’s Famous Forty-Part Motet."
Music
Theory Online 24/1. (March 2018) {
MTO}
Schulter, Margo. 2018. "Huh? Microtonal
music? A guide for the perplexed."
Untwelve. Available online
at: <
https://untwelve.org/what>.
Shinn, Randall. "Ben Johnston's Fourth
String Quartet."
Perspectives of New Music 15/2 (Spring-Summer
1977): 145–173. {
JSTOR}
Temperley, David. 2000. "The Line of
Fifths."
Music Analysis 19/3 (October 2000). {
JSTOR}
Walker, Elaine. 2017. "What is Xenharmonic
Music?" New Music Box (August 3, 2017). {
NMB}
Walker, Jonathan. 1996. "Intonational
Injustice: A Defense of Just Intonation in the Performance of Renaissance
Polyphony."
Music Theory Online 2/6 (September 1996). {
MTO}
Wibberley, Roger. 2004a. "Syntonic Tuning: A
Sixteenth-Century Composer's Soundscape."
Music Theory Online
10/1 (February 2004). {
MTO}
______________. 2004b. "Syntonic Tuning:
Creating a Model for Accurate Electronic Playback." Music Theory Online
10/1 (February 2004). {
MTO}
Wild, Jonathan. "Genus, Species and Mode in
Vicentino’s 31-tone Compositional Theory."
Music Theory Online 20/2.
{
MTO}.
Wild, Justin and Peter Schubert. 2008.
"Historically informed retuning of polyphonic vocal performance."
Journal
of Interdisciplinary Studies 2 (2008). {
MusicStudies.org}
Willis, Laurence Sinclair. 2019.
"Comprehensibility and Ben Johnston’s String Quartet No. 9."
Music
Theory Online 25/1. {
MTO}
Wooley, Nate. 2018. "Interacting with
Spectra: A Conversation with Cat Lamb."
Sound American (SA 20).
Available Online at: {
SA
20}
LEGEND
Updated: April 12, 2024