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John Cage and the Theory of Harmony: (1983)

James Tenney

Larry Polansky, Lauren Pratt, Robert Wannamaker, and Michael Winter (eds)

in From Scratch: Writings in Music Theory

Published in print:
2015
Published Online:
April 2017
ISBN:
9780252038723
eISBN:
9780252096679
Item type:
chapter
Publisher:
University of Illinois Press
DOI:
10.5406/illinois/9780252038723.003.0012
Subject:
Music, Theory, Analysis, Composition

James Tenney examines some of John Cage's theoretical ideas and their possible implications for a new theory of harmony that he argues requires new definitions of “harmony,” “harmonic relations,” ... More


On “Crystal Growth” in Harmonic Space: (1993/2003)

James Tenney

Larry Polansky, Lauren Pratt, Robert Wannamaker, and Michael Winter (eds)

in From Scratch: Writings in Music Theory

Published in print:
2015
Published Online:
April 2017
ISBN:
9780252038723
eISBN:
9780252096679
Item type:
chapter
Publisher:
University of Illinois Press
DOI:
10.5406/illinois/9780252038723.003.0018
Subject:
Music, Theory, Analysis, Composition

James Tenney talks about his “crystal growth” algorithm, an idea that suggests a new “harmonic syntax” for harmonic space. As a quantitative model, it is both suggestively rich for future composition ... More


Harmonic-Hardy Spaces hp(Bn)

Ali Taheri

in Function Spaces and Partial Differential Equations: Volume 1 - Classical Analysis

Published in print:
2015
Published Online:
September 2015
ISBN:
9780198733133
eISBN:
9780191797712
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198733133.003.0008
Subject:
Mathematics, Analysis

This chapter examines the passage to higher dimensional Harmonic-Hardy spaces. It also discusses removable singularities of harmonic functions. The chapter then provides more detailed discussion of ... More


Harmonic-Hardy Spaces hp(D)

Ali Taheri

in Function Spaces and Partial Differential Equations: Volume 1 - Classical Analysis

Published in print:
2015
Published Online:
September 2015
ISBN:
9780198733133
eISBN:
9780191797712
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198733133.003.0005
Subject:
Mathematics, Analysis

Harmonic functions in the disc and the Harmonic-Hardy spaces hp are discussed in this chapter. Relations to Poisson integral representation and existence of boundary functions lie at the heart of ... More


About Changes: Sixty-Four Studies for Six Harps: (1987)

James Tenney

Larry Polansky, Lauren Pratt, Robert Wannamaker, and Michael Winter (eds)

in From Scratch: Writings in Music Theory

Published in print:
2015
Published Online:
April 2017
ISBN:
9780252038723
eISBN:
9780252096679
Item type:
chapter
Publisher:
University of Illinois Press
DOI:
10.5406/illinois/9780252038723.003.0015
Subject:
Music, Theory, Analysis, Composition

In his 1987 essay Changes: Sixty-Four Studies for Six Harps, James Tenney explains his intentions in this work with respect to harmony. First, he wanted to investigate the new harmonic resources that ... More


Darmstadt Lecture: (1990)

James Tenney

Larry Polansky, Lauren Pratt, Robert Wannamaker, and Michael Winter (eds)

in From Scratch: Writings in Music Theory

Published in print:
2015
Published Online:
April 2017
ISBN:
9780252038723
eISBN:
9780252096679
Item type:
chapter
Publisher:
University of Illinois Press
DOI:
10.5406/illinois/9780252038723.003.0016
Subject:
Music, Theory, Analysis, Composition

In his “Darmstadt Lecture,” one of the few published examples of his public lectures, James Tenney talks about problems of harmony, which he breaks down into a number of other, smaller problems, ... More


From Scratch: Writings in Music Theory

James Tenney

Larry Polansky and Lauren Pratt (eds)

Published in print:
2015
Published Online:
April 2017
ISBN:
9780252038723
eISBN:
9780252096679
Item type:
book
Publisher:
University of Illinois Press
DOI:
10.5406/illinois/9780252038723.001.0001
Subject:
Music, Theory, Analysis, Composition

One of the twentieth century's most important musical thinkers, the author did pioneering work in multiple fields, including computer music, tuning theory, and algorithmic and computer-assisted ... More


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