Definitions for klumpenhouwer network
klumpen·houwer net·work

WikipediaRate this definition:0.0 / 0 votes

1. Klumpenhouwer network

   A Klumpenhouwer Network, named after its inventor, Canadian music theorist and former doctoral student of David Lewin's at Harvard, Henry Klumpenhouwer, is "any network that uses T and/or I operations (transposition or inversion) to interpret interrelations among pcs" (pitch class sets). According to George Perle, "a Klumpenhouwer network is a chord analyzed in terms of its dyadic sums and differences," and "this kind of analysis of triadic combinations was implicit in," his "concept of the cyclic set from the beginning", cyclic sets being those "sets whose alternate elements unfold complementary cycles of a single interval." "Klumpenhouwer's idea, both simple and profound in its implications, is to allow inversional, as well as transpositional, relations into networks like those of Figure 1," showing an arrow down from B to F♯ labeled T7, down from F♯ to A labeled T3, and back up from A to B, labeled T10 which allows it to be represented by Figure 2a, for example, labeled I5, I3, and T2. In Figure 4 this is (b) I7, I5, T2 and (c) I5, I3, T2. Lewin asserts the "recursive potential of K-network analysis"... "'in great generality: When a system modulates by an operation A, the transformation f' = A f A -inverse plays the structural role in the modulated system that f played in the original system."Given any network of pitch classes, and given any pc operation A, a second network may be derived from the first, and the relationship thereby derived 'network isomorphism' "arises between networks using analogous configurations of nodes and arrows to interpret pcsets that are of the same set class – 'isomorphism of graphs'.

How to pronounce klumpenhouwer network?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say klumpenhouwer network in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of klumpenhouwer network in Chaldean Numerology is: 5

2. Pythagorean Numerology

   The numerical value of klumpenhouwer network in Pythagorean Numerology is: 9

References

1. ^ Wikipedia
   https://en.wikipedia.org/wiki/Klumpenhouwer_Network