![By the time of his Fourth String Quartet, inversional symmetry had become as fundamental a premise of Bartók's harmonic language as it is of the twelve-tone music of Schoenberg, Berg, and Webern. Neither he nor they ever realized that this connection establishes a profound affinity between them in spite of the stylistic features that so obviously distinguish his music from theirs...Nowhere does he [Bartók] recognize the communality of his harmonic language with that of the twelve-tone composers that is implied in their shared premise of the harmonic equivalence of inversionally symmetrical pitch-class relations. (George Perle)](https://cdn.quotesdtb.com/img/quotes_images_webp/79/george-perle-affinity-berg-757379.webp)
By the time of his Fourth String Quartet, inversional symmetry had become as fundamental a premise of Bartók's harmonic language as it is of the twelve-tone music of Schoenberg, Berg, and Webern. Neither he nor they ever realized that this connection establishes a profound affinity between them in spite of the stylistic features that so obviously distinguish his music from theirs...Nowhere does he [Bartók] recognize the communality of his harmonic language with that of the twelve-tone composers that is implied in their shared premise of the harmonic equivalence of inversionally symmetrical pitch-class relations.
George PerleRelated topics
berg connection equivalence fundamental harmonic language music nor nowhere premise quartet string symmetry relations SchoenbergRelated quotes
the distribution of flexibility among the many variables of a system is a matter of very great importance. The healthy system ... may be compared to an acrobat on a high wire. To maintain the ongoing truth of his basic premise ("I am on the wire”), he must be free to move from one position of instability to another, i.e., certain variables such as the position of his arms and the rate of movement of his arms must have great flexibility, which he uses to maintain the stability of other more fundamental and general characteristics. If his arms are fixed or paralyzed (isolated from communication), he must fall.
Gregory Bateson
We can indeed recognize a tremendous difference in manner, but not in principle, between a shaman of the Tunguses and a European prelate: ... for, as regards principle, they both belong to one and the same class, namely, the class of those who let their worship of God consist in what in itself can never make man better (in faith in certain statutory dogmas or celebration of certain arbitrary observances). Only those who mean to find the service of God solely in the disposition to good life-conduct distinguish themselves from those others, by virtue of having passed over to a wholly different principle.
Immanuel Kant
No matter where and how far we look, nowhere do we find a contradiction between religion and natural science. On the contrary, we find a complete concordance in the very points of decisive importance. Religion and natural science do not exclude each other, as many contemporaries of ours would believe or fear. They mutually supplement and condition each other. The most immediate proof of the compatibility of religion and natural science, even under the most thorough critical scrutiny, is the historical fact that the very greatest natural scientists of all times-men such as Kepler, Newton, Leibniz-were permeated by a most profound religious attitude.
Max Planck
Economic history has contributed significantly to the formulation of economic theory. Among the economists who have found history an important source for their ideas are Smith, Malthus, Marx, Marshall, Keynes, Hicks, Arrow, Friedman, Solow, and Becker. Failure to take account of history, as Simon Kuznets (1941) stressed, has often led to a misunderstanding of current economic problems by investigators who have not realized that their generalizations rested upon transient circumstances. Nowhere is the need to recognize the role of long-run dynamics more relevant than in such pressing current issues as medical care, pension policies, and development policies.
Robert Fogel
Of the two classes of people, I hardly know which is to be regarded with most distaste, the vulgar aping the genteel, or the genteel constantly sneering at and endeavouring to distinguish themselves from the vulgar. ... True worth does not exult in the faults and deficiencies of others; as true refinement turns away from grossness and deformity, instead of being tempted to indulge in an unmanly triumph over it. ... Real power, real excellence, does not seek for a foil in inferiority; nor fear contamination from coming in contact with that which is coarse and homely.
William Hazlitt