Complex projective geometry and quantum projective field theory

1994 ◽  
Vol 101 (3) ◽  
pp. 1387-1403 ◽  
Author(s):  
D. V. Yur'ev
Keyword(s):  
Field Theory ◽  
Projective Geometry ◽  
Complex Projective ◽  
Projective Field

Problems of Meter in Early-Seventeenth-Century and Twentieth-Century Music

2020 ◽  
pp. 296-346
Author(s):  
Christopher Hasty
Keyword(s):  
Nineteenth Century ◽  
Twentieth Century ◽  
Seventeenth Century ◽  
Twentieth Century Music ◽  
The Creation ◽  
Complex Projective ◽  
Fourth Book ◽  
Projective Field

This chapter assesses meter in early-seventeenth-century and twentieth-century music. Specifically, it analyzes compositions by Monteverdi, Schütz, Webern, and Babbitt. Monteverdi's “Ohimè, se tanto amate” from the fourth book of madrigals presents a metrical subtlety rarely encountered in eighteenth- and nineteenth-century music. Here the projective field is very mobile, and mensural determinacy is restricted to relatively small measures. Meanwhile, Schütz's concertato motet “Adjoro vos, filiae Jerusalem” from the Symphoniae sacrae, Book I (1629), demonstrates extremely subtle rhythmic detail and great projective contrast used in the service of a compelling larger gesture. Here the repetition of small melodic figures is used for the creation of complex projective fields that serve the continuity of phrases and sections. The chapter then looks at the much smaller measures and much greater ambiguity in some music of the twentieth century.

Fubini-Veneziano fields in quantum projective field theory

1991 ◽  
Vol 46 (5) ◽  
pp. 185-186
Author(s):  
S A Bychkov ◽  
D V Yur'ev
Keyword(s):  
Field Theory ◽  
Projective Field
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