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Program Note

Frieze

for cello and piano

by Reginald Bain


The German novelist Johann Wolfgang von Goethe (1749-1832) once said that architecture is "frozen music." In architecture, the term frieze refers to a horizontal band of decorative images found along the top of a wall that are usually a set of variations on a single theme. Frieze (2011) explores musical analogues of mathematical frieze groups, symmetric line patterns on a two-dimensional surface that infinitely repeat in a single direction. These patterns are mapped into the pitch and time domains to create gestures that serve as the basis of the work.

Maori Kowhaiwhai pattern in the Ngaru style


Credit: Math & The Art of M.C. Escher


I. Molecular Presentation 0:40
II. Mosaic 1:45
III. Constructed Resonance 1:40
IV. Identity 2:25
V. Lattice 1:36
VI. Jump 1:13
VII. Translation 1:00
D U R A T I O N
10:19


This work was commissioned by cellist Bob Jesselson and pianist Charles Fugo on the thirtieth anniversary of the Jesselson/Fugo Duo.



Links

Bart and Clair, Math and the Art of M. C. Escher. {euler.slu.edu}

Campbell, MacGregor. "Frieze and Wallpaper Groups," in MATHematics Illuminated. {Annenberg/Learner}



Updated: January 4, 2026