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In the theory of Coxeter groups, the symmetric group is the Coxeter group of type A n and occurs as the Weyl group of the general linear group. In combinatorics , the symmetric groups, their elements ( permutations ), and their representations provide a rich source of problems involving Young tableaux , plactic monoids , and the Bruhat order .
A group of adults with dementia participated in group music therapy. [29] In the group, these adults engaged in singing, drumming, improvisation, and movement. Each of these activities engaged the adults in different ways.
This article summarizes the classes of discrete symmetry groups of the Euclidean plane. The symmetry groups are named here by three naming schemes: International notation, orbifold notation, and Coxeter notation. There are three kinds of symmetry groups of the plane: 2 families of rosette groups – 2D point groups; 7 frieze groups – 2D line ...
Modes of limited transposition are musical modes or scales that fulfill specific criteria relating to their symmetry and the repetition of their interval groups. These scales may be transposed to all twelve notes of the chromatic scale, but at least two of these transpositions must result in the same pitch classes, thus their transpositions are "limited".
Music therapy is a systematic process; it is not a series of random events. Systematic means that music therapy is "purposeful, organized, methodical, knowledge-based, and regulated" (Bruscia 1998). One of the most important features is its methodical processes. Methodical means that music therapy always proceeds in an orderly fashion.
The Nordoff–Robbins approach to music therapy is a method developed to help children with psychological, physical, or developmental disabilities. [1] It originated from the 17-year collaboration of Paul Nordoff and Clive Robbins, [2] which began in 1958, [3] with early influences from Rudolph Steiner and anthroposophical philosophy and teachings. [4]
Finite spherical symmetry groups are also called point groups in three dimensions. There are five fundamental symmetry classes which have triangular fundamental domains: dihedral, cyclic, tetrahedral, octahedral, and icosahedral symmetry. This article lists the groups by Schoenflies notation, Coxeter notation, [1] orbifold notation, [2] and order.
Music therapist Kenneth Bruscia uses the following definition to describe Guided Imagery and Music: "(GIM) refers to all forms of music-imaging in an expanded state of consciousness, including not only the specific individual and group forms that Bonny developed, but also all variations and modifications in those forms created by her followers."