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Criticisms of music learning theory include Paul Woodford's concerns that the theory itself is a misnomer, and rather than a learning theory it is a "taxonomy of musical preconditions for critical thinking", [31] and that "rather than overwhelming younger students in the beginning stages of instruction by focusing only on the complexities of ...
Examples of harmonic functions of two variables are: The real or imaginary part of any holomorphic function.; The function (,) = ; this is a special case of the example above, as (,) = (+), and + is a holomorphic function.
In mathematics, Hodge theory, named after W. V. D. Hodge, is a method for studying the cohomology groups of a smooth manifold M using partial differential equations.The key observation is that, given a Riemannian metric on M, every cohomology class has a canonical representative, a differential form that vanishes under the Laplacian operator of the metric.
Thomas Young and Hermann von Helmholtz assumed that the eye's retina consists of three different kinds of light receptors for red, green and blue.. The Young–Helmholtz theory (based on the work of Thomas Young and Hermann von Helmholtz in the 19th century), also known as the trichromatic theory, is a theory of trichromatic color vision – the manner in which the visual system gives rise to ...
Sympathetic resonance or sympathetic vibration is a harmonic phenomenon wherein a passive string or vibratory body responds to external vibrations to which it has a harmonic likeness. [1] The classic example is demonstrated with two similarly-tuned tuning forks. When one fork is struck and held near the other, vibrations are induced in the ...
In the Schuman example (Three Score Set for Piano), the inversions of the chords suggest a bichordal effect. [ 3 ] In the example on the top right, we see a series of quartal chords in parallel motion, in which the intervallic relationship between each consecutive chord member, in this case a minor second , is consistent.
The concept of harmonic function originates in theories about just intonation.It was realized that three perfect major triads, distant from each other by a perfect fifth, produced the seven degrees of the major scale in one of the possible forms of just intonation: for instance, the triads F–A–C, C–E–G and G–B–D (subdominant, tonic, and dominant respectively) produce the seven ...
Gardner's theory argues that students will be better served by a broader vision of education, wherein teachers use different methodologies, exercises and activities to reach all students, not just those who excel at linguistic and logical intelligence. It challenges educators to find "ways that will work for this student learning this topic". [42]