The Cognitive Neuroscience of Music
probabilities from one value or relation to another (cf. Ref. 25 for implicit learning of transitional probabilities for pitch a ...
number of elements, and they thus become uncorrelated with one another as in Pierre Boulez’Structuresfor two pianos (1952). It w ...
context in the perception of tonal and nontonal transformations and their similarity ratings.11,31,37–40For example, similarity ...
Drastic transformations in both pitch and rhythm should render the variation as dissimilar to the reference as unrelated materi ...
to consider the relations between the two modules, such a general principle should be applicable to any musical system without r ...
the nontonal transformations where the range of variation of listeners’ judgements was found to be much greater. Consequently, i ...
more strongly affect the perceived similarity of identical pitch patterns than is the case for the reverse. More refined experim ...
and J. Renwick (eds) Proceedings of the 7th International Conference on Music Perception and Cognition. Sydney, Adelaide: Causal ...
29.Peretz, I.and J. Morais(1989) Music and modularity.Contemporary Music Rev.2(1), 279–94. 30.Te m p e r l e y, D.(1995) Motivic ...
7 TONAL COGNITION . Abstract This chapter presents a self-organizing map (SOM) neu ...
Probe tone methodology An experimental method introduced to study tonality is sometimes referred to as the probe tone method.^1 ...
some of the chord sequences), a high correlation was found, indicating a strong sense of key. For other sets of probe tone ratin ...
G, D,A, E, B, F /G ...) and one circle of fifths for minor keys (...f , c , g , d /e , b , f, c, g, d, a, e, b, f ...). These wr ...
Representing the sense of key on the torus The continuous spatial medium containing the 24 major and minor keys affords repres- ...
Multidimensional unfolding begins with a multidimensional scaling solution, in this case the torus representation of the 24 majo ...
In addition, the unfolding approach assumes that spatial locations between the 24 points for major and minor keys are meaningful ...
are highly similar to the input vector have a high activation, and vice versa. The activation value of each unit can be calculat ...
Beethoven, and Webern, only a small fraction of all the possible tone transitions were actually used (the fractions were 23, 16, ...
Representation of input The pitches of the chromatic scale are numbered consecutively. The onset times of tones having pitch kar ...
The term e(kl)2/2 weights the transitions according to the interval size. For the param- eter , the value 6 has been used. ...
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