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Multiphonics on the flute

A fingering diagram for the flute for the chord shown. Shaded keys are pressed.

Many of the acoustic properties of the flute including their ability to play chords or multiphonics have become much easier to study using a new technique developed in this laboratory.
TRADITIONAL music for wind instruments gives each instrument only one note at a time. More recently, players of wind instruments have been playing, and contemporary composers calling for multiphonics: two or more notes sounded simultaneously. We have studied these both in terms of the sounds produced and the acoustical properties of the instrument in the configuration ('fingering') which produces them.

Most musical instruments consist of a non-linear control oscillator (a jet of air, in the case of the flute) coupled to a linear harmonic resonator (the column of air inside the instrument). A flute player blows across the top of a hole open to the air, so the input is close to atmospheric pressure. Unlike most other wind instruments, in which the player's mouth seals the input, the flute therefore operates at minima rather than maxima of acoustic impedance. 

Until recently this has impeded studies of flute acoustics because large dynamic range is required to resolve details of the impedance minima. A technique developed in this laboratory has the required range and precision, and led to a range of studies on the flute and other instruments.

In normal operation, mode locking occurs so that the vibration régime is periodic. In multiphonics, two or more resonances, which are not harmonically related, can be played simultaneously. The multiphonic corresponds to a non-linear superposition of the two vibration régimes, in which harmonics and heterodyne components are present at low values of the acoustic impedance.

Elizabeth O'Connor, John Smith
John Tann & Joe Wolfe

 

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