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Dmitri Tymoczko is a composer and
music theorist Music theory is the study of the practices and possibilities of music. ''The Oxford Companion to Music'' describes three interrelated uses of the term "music theory". The first is the " rudiments", that are needed to understand music notation (k ...
. His music, which draws on rock, jazz, and romanticism, has been performed by ensembles such as the Amernet String Quartet, the Brentano Quartet, Janus, Newspeak, the San Francisco Contemporary Players, the Pacifica Quartet, and the pianist
Ursula Oppens Ursula Oppens (born February 2, 1944) is an American classical concert pianist and educator. She has received five Grammy Award nominations. Biography Ursula Oppens was born on February 2, 1944, in New York City into a highly musical family fr ...
.Official Princeton Biography of Dmitri Tymoczko: As a theorist, he has published more than two dozen articles dealing with topics related to contemporary tonality, including scales, voice leading, and functional harmonic norms. His article "The Geometry of Musical Chords", was the first music-theory article ever published by the journal ''
Science Science is a systematic endeavor that Scientific method, builds and organizes knowledge in the form of Testability, testable explanations and predictions about the universe. Science may be as old as the human species, and some of the earli ...
''.Tymoczko, Dmitri, "The Geometry of Musical Chords", ''
Science Science is a systematic endeavor that Scientific method, builds and organizes knowledge in the form of Testability, testable explanations and predictions about the universe. Science may be as old as the human species, and some of the earli ...
''. 313 (2006), 72-74.


Biography

Tymoczko was born 1969, in Northampton, Massachusetts. His father Thomas Tymoczko was a philosopher of mathematics at
Smith College Smith College is a private liberal arts women's college in Northampton, Massachusetts. It was chartered in 1871 by Sophia Smith and opened in 1875. It is the largest member of the historic Seven Sisters colleges, a group of elite women's c ...
, while his mother Maria Tymoczko is a professor of comparative literature at the
University of Massachusetts Amherst The University of Massachusetts Amherst (UMass Amherst, UMass) is a public research university in Amherst, Massachusetts and the sole public land-grant university in Commonwealth of Massachusetts. Founded in 1863 as an agricultural college, it ...
; his sister, Julianna Tymoczko, later herself became a mathematics professor at Smith. He attended
Harvard University Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of high ...
, studying composition, music theory, and philosophy, and did graduate work in Philosophy at
Oxford University Oxford () is a city in England. It is the county town and only city of Oxfordshire. In 2020, its population was estimated at 151,584. It is north-west of London, south-east of Birmingham and north-east of Bristol. The city is home to the ...
as a Rhodes scholar. After being asked to leave the philosophy D. Phil. program, he eventually returned to music, acquiring a Ph.D. in composition from The University of California, Berkeley. Since 2002, he has been a professor at
Princeton University Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the n ...
. He is the recipient of fellowships from the Guggenheim foundation and the Radcliffe Institute of Advanced Study. He is married to the philosopher
Elisabeth Camp Elisabeth Camp is a professor of philosophy at Rutgers University. Camp's work has focused on forms of thought and speech that do not fit standard propositional models. She has written extensively about figurative speech such as sarcasm and metap ...
, with whom he has a son Lukas and a daughter Katya.


Music

Tymoczko's album ''Beat Therapy'' (Bridge 9353), combines jazz instrumentation with classical ideas of development. The critic Frank Oteri describes it as "far reaching and utterly entertaining." In ''Crackpot Hymnal'' (Bridge 9383), he presents expressly composed chamber pieces inspired and mixed from a number of traditional styles. Jazz, popular, blues and rock styles interact with folk and contemporary classical music. A third CD, ''Rube Goldberg Variations'' was released in 2018. Joshua Kosman, writing at
SFGate The ''San Francisco Chronicle'' is a newspaper serving primarily the San Francisco Bay Area of Northern California. It was founded in 1865 as ''The Daily Dramatic Chronicle'' by teenage brothers Charles de Young and Michael H. de Young. The pap ...
, called it "whimsical", "ingenious", and with a "rich emotional arc" produced by a "warmth of personality that is distinctive".


Theoretical work

In ''A Geometry of Music'',Tymoczko, Dmitri, ''A Geometry of Music'', New York: Oxford (2011) Tymoczko proposes a general framework for thinking about tonality, arguing that there are five basic features that jointly contribute to the sense of tonality: * conjunct melodic motion (melodies move by short distances) * harmonic consistency (harmonies sound similar) * acoustic consonance (harmonies sound pleasant) * limited macroharmony (music uses a small number of notes over moderate spans of musical time) * centricity (one note is heard as "more stable" than the others) The first part of the book explores theoretical questions about how these properties can be combined. In particular, Tymoczko uses
orbifolds In the mathematical disciplines of topology and geometry, an orbifold (for "orbit-manifold") is a generalization of a manifold. Roughly speaking, an orbifold is a topological space which is locally a finite group quotient of a Euclidean space. D ...
to develop "maps" of musical chords, showing that the first two properties (e.g. conjunct melodic motion and harmonic consistency) can be combined only in special circumstances. The second part of the book uses these tools to analyze pieces from the Middle Ages to the present. Tymoczko argues that there is an "extended common practice" linking superficially distinct styles, with jazz being much closer to classical music than many have thought. Tymoczko showed that nearly even chords (such as those prevalent in Western tonal music) are represented by three main families of lattices. Two of these : * a circle of n-dimensional cubes linked by shared vertices * a circle of n-dimensional cubes linked by shared facets are particularly useful in analysis. What results is a systematic perspective on the full family of chord-based graphs.The Generalized Tonnetz - Dmitri Tymoczko - Princeton University, 2012. Tymoczko has also written a free software program, "ChordGeometries", allowing users to visualize the orbifolds representing musical chords.


Bibliography

*''Beat Therapy'', Bridge Records, 2011. *''Crackpot Hymnal'', Bridge Records, 2013. *''Rube Goldberg Variations'', Bridge Records 9492, 2017. *''A Geometry of Music'', Oxford University Press, 2011. *


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External links

* * * {{DEFAULTSORT:Tymoczko, Dmitri American music theorists American Rhodes Scholars Harvard University alumni 1969 births Living people American people of Slovak descent