Piano Keyboard
The piano keyboard is one-dimensional, and therefore cannot present the intervals of a rank-2 (two-dimensional) temperament isomorphically. As it is not isomorphic, the piano keyboard is also not tuning invariant, and hence cannot control dynamic tuning with consistent fingering. Without consistent fingering, a pianist would have to change a given interval's fingering constantly as the tuning changed, which would be impractical. Whereas an isomorphic keyboard's tuning invariance makes dynamic tonality easy to control, the piano keyboard's lack of tuning invariance makes it impractical.
Read more about this topic: Dynamic Tonality
Famous quotes containing the word piano:
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—Angela Carter (1940–1992)