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Encyclopedia > Invariant (music)

In music using the twelve tone technique invariance describes the portions of rows which have been so designed that they remain invariant under the allowable transformations (inversion, retrograde, retrograde-inversion, multiplication). George Perle describes their use as "pivots" or non-tonal ways of emphasizing certain pitches. Invariant rows are also combinatorial.


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Re: selection pressure underlying scaled/measured music (Philip Dorrell ) (744 words)
For musical scales, the relevant cortical map (which I call the "scale cortical map") is one that responds to the recent occurrence of pitch values (modulo octaves), in proportion to how slowly the pitch value changed when the pitch contour passed through each pitch value, and to how many times it passed through.
Pitch translation invariance is more exact over a larger range of translation, and that may be partly due to the fact that the pitch scale modulo octaves is effectively a circular scale.
The occurrence of constant activity patterns appears to be the condition that maximises perceived "musicality", and this leads to the further question as to what the perception of musicality represents, and what evolutionary advantage is conferred by the perception of it.
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