Wallpaper patterns have been shown to be decomposable into standing waves of plane vibrations . Previously unexplored are the sounds that arise from these vibrations. The main result of this paper is that each wallpaper type (square, hexagonal, rectangular, generic) has its own distinctive family of pitches relative to a fundamental. We review the method to make wallpaper with wave functions and describe new musical scales for each type, including initial attempts to use the scales: a movie showing vibrations of wallpaper patterns with 3- and 6-fold symmetry inspired a new piece by American composer William Susman, commissioned by the San Jose Chamber Orchestra, Barbara Day Turner, conductor. The piece, “In a State of Patterns,” was premiered on March 25, 2018.
Music from Vibrating WallpaperMathematics and Computer Science
Document TypeConference Proceeding
Citation InformationFarris, F. A.(2018). Music from Vibrating Wallpaper. In Eve Torrence Bruce Torrence, Carlo Séquin & K. Fenyvesi (Eds.), Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture (pp. 287–294). Phoenix, Arizona: Tessellations Publishing.