C0 note (16,35 Hz) — vibrating on liquid surface

D0 note (18.35 Hz) — vibrating on liquid surface

C0 note (16,35 Hz) — vibrating on liquid surface

F0 note (21.83 Hz) — vibrating on liquid surface

G0 note (24.50 Hz) — vibrating on liquid surface

A0 note (27.50 Hz) — vibrating on liquid surface

Dangerfield, Joseph: Two Geometric Etudes 



Basic information

  • Title: 
    Two Geometric Etudes
  • Duration (in minutes): 
  • Year of composition: 
  • First performance (year): 
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  • Program notes: 

    Two Geometric Etudes: Eadem Mutato Resurgo (2003) and Tryglyph (2005) are piano etudes that establish a connection between music and an architecturally significant geometric shape. Eadem... explores how the shape of a pentagon might be represented through musical structure and physical gesture. Elements such as pitch, motive, and register are defined by the numeral five to further represent the pentagon. The title is taken from the epithet of the great mathematician Jacque Bernoulli, who was obsessed with the logarithmic spiral, which, like the pentagon, is structurally defined by the so-called Golden Ratio (.618). As an etude, it focuses on ametric rhythms and rapid lines. A Tryglyph is a tablet in a Doric frieze with three vertical grooves that alternates with metopes. Tryglyph also refers to a three-layered work of art that depicts three scenes at three different depths. In my work, Tryglyph, I created three levels of rhythms all based on a single intervallic set that the pianist must shift in an out of at times, and at others, perform simultaneously. Each level is also attached to one of three registers in the piano, high, middle, and low. The etude helps to develop muscle memory and rapid leaps.





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