If...Berg departs so radically from tradition, through his substitution of a symmetrical partitioning of the octave for the asymmetrical partionings of the major/minor system, he departs just as radically from the twelve-tone tradition that is represented in the music of Schoenberg and Webern, for whom the twelve-tone series was always an integral structure that could be transposed only as a unit, and for whom twelve-tone music always implied a constant and equivalent circulation of the totality of pitch classes.
Alban BergRelated topics
berg circulation constant equivalent integral major minor music octave partitioning pitch series structure substitution system totality tradition unit schoenbergRelated quotes
Naked girls with the heads of Marx and Malraux prone and helpless in the glare of the headlights, tried to give them a little joie de vivre but maybe it didn't take, their constant bickering and smallness, it's like a stroke of lightning, the world reminds you of its power, tracheotomies right and left, I am spinning, my pretty child, don't scratch, pick up your feet, the long nights, spent most of my time listening, this is a test of the system, this is only a test.
Donald Barthelme
It appears to me that the subject of music, from Machaut to Boulez, has always been its construction. Melodies of 12-tone rows just don't happen. They must be constructed.... To demonstrate any formal idea in music, whether structure or stricture, is a matter of construction, in which the methodology is the controlling metaphor of the composition...Only by 'unfixing' the elements traditionally used to construct a piece of music could the sounds exist in themselves--not as symbols, or memories which were memories of other music to begin with.
Morton Feldman
It cannot be denied that Islam, regarded as an ethical ideal plus a certain kind of polity – by which expression I mean a social structure regulated by a legal system and animated by a specific ethical ideal – has been the chief formative factor in the life-history of the Muslims of India. It has furnished those basic emotions and loyalties which gradually unify scattered individuals and groups, and finally transform them into a well-defined people, possessing a moral consciousness of their own.
Muhammad Iqbal
To me, I took a militant attitude towards sounds. I wanted sounds to be a metaphor, that they could be as free as a human being might be free. That was my idea about sound. It still is, that they should breathe ... not to be used for the vested interest of an idea. I feel that music should have no vested interests, that you shouldn't know how it's made, that you shouldn't know if there's a system, that you shouldn't know anything about it ... except that it's some kind of life force that to some degree really changes your life ... if you're into it.
Morton Feldman
The first attempts to consider the behavior of so-called "random neural nets" in a systematic way have led to a series of problems concerned with relations between the "structure" and the "function" of such nets. The "structure" of a random net is not a clearly defined topological manifold such as could be used to describe a circuit with explicitly given connections. In a random neural net, one does not speak of "this" neuron synapsing on "that" one, but rather in terms of tendencies and probabilities associated with points or regions in the net.
Anatol Rapoport
