The physics inside piano website

July 22, 2007

Haptic of piano is a complex process

Musical instruments are vibrant bodies constituted of strongly connected resonating oscillators, they are classified according to the nature of the main resonator in: string, wind, and percussion instruments.

Musicologists classify instruments in: Cordofoni (string instruments), Aerofoni (breath instruments), Idiofoni (tubular bells, xylophones, marimbes, etc.), and Membranofoni (timpani, drums, etc); the last two categories are considered percussive instruments.

To these can be added the digital electronic synthesizer and the human voice. Other musical instruments classification introduces a specialization of research in Psycho-Acoustic, that is the study of the separation and differentiation of instruments sounds according to perception criteria. Physical behaviour of resonants bodies requires that any instrument in order to emit sound needs to be fed by an external source of energy, this is achieved in different ways.

Animation after Daniel A. Russell
Considering musical instruments as physical devices is necessary to classify them with respect to the way they receive energy in order to work, two categories are appreciated from this point of view. For instance in pizzicato strings, drums, and the like instruments, the sound decay gradually after received an exciting starting energy, so they are musical instruments excited per impulse; piano belongs naturally to this category.
On the other hand there are instruments in which the energy is continuously supplied in order to maintain the vibration (flutes, bowed strings, etc.), they are tono sostenuto instruments.
In an instrument excited per impulse the modals frequencies are determined mostly from the geometrical shape of the vibrant resonator, however not always is found in the emited sound a linear pattern relationship between the implied frequencies: in drums the membrane emits a highly non linear sonorous print, the same happens with bells, etc. In the tono sostenuto instruments instead the frequencies of the partials are always exact entire multiples of the fundamental frequency, its harmonics. The source of energy any instruments needs in order to emit sound comes along from the interaction with human body, observe the following scheme:
Musical instrumets classification according to energy input

we see here the multiple forms of energy which result from the interaction with human body: the performer, in the act of playing, introduces energy in a broad variety of configurations. Independent from instrument type musician brings in the system linear and not linear components that can be modulated through (outlined line) a parallel dynamic hearing process, a concatenation ruled absolutely by perceptive data. With the sense of hearing the player monitor and adjust the sound produced by the instrument, if the sound is not likely that one he expects he will adjust his movements to change it, the player becomes hence a part of a control closed circuit while he performs. Hence there is a way through which the current information concerning the instrument's response can be as well considered, the retroactive effect of  haptic sensation. Convergent aspects are many, the senses of touch and kinesthetic comprehension, i.e.,  the sense that also detects bodily position, weight, and movement of the muscles, tendons, and joints, etc.   This is specially important in a polyphonic-very massive  instrument like piano, the perception process is closely related to aural perception at play too.

 

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