Webern's use of symmetrical harmonic fields to focus and control the vertical functioning of his polyphony was a crucial stimulus.
2.
Using these 25 groups in conjunction with pitch multiplication, Boulez is able to create 25 " harmonic fields " within each set.
3.
All this energy culminates in a huge fugato ( based on material already present ), marked Intensivo, which breaks away from the harmonic field.
4.
Harmonic Fields was part of the London 2012 Festival, a 12-week nationwide celebration bringing together artists from across the world with those in the UK.
5.
If the time-harmonic field is instead e ^ { i \ omega t } u, one should replace-i with + i in the Sommerfeld radiation condition.
6.
Koblyakov's analysis reveals that the harmonic fields Boulez employs at certain parts of the piece are laid out very systematically, showing that the movements'overall forms are complexly mathematical as well.
7.
In August September 2012 Pierre Sauvegeot's Harmonic Fields, an ensemble of more than 500 instruments played by the wind, was set up near the cliff-edge within a disused section of Bowers Quarry.
8.
The electric potential in some other implementation of gridless reflectron ( a so-called quadratic-field reflectron ) is proportional to a square of a distance x to the mirror entrance : V ( x ) & # 61; kx 2 thus exhibiting a case of one-dimensional harmonic field.
9.
His " harmonic field " technique is now a topic of an academic research at the University of Music and Performing Arts in Graz in Austria and can be found in several of his works, including " Le Cimeti�re Marin " and " The White Angel . " He has composed a wide range of works including chamber, orchestral and vocal music, music for solo instruments, choral, and just one short electro-acoustic piece.
10.
For example, in his piece for ensemble and electro-acoustic support, De Ignoto Cantu ( 2004 ), the composer presents several melody lines which, despite their complexity, actually derive from a single simple source consisting in a few number of elements; each line contains a considerable degree of horizontal-spectral consonance, but the vertical intervals and the variety of rhythmic accents in each line create a tough dissonance, both in harmony and rhythm, it is : he uses harmonic fields associated to layered pulsation patterns and metric modulation to create a sonic analog to the distorting process of reflection, almost like a rotating lens through which the view goes in and out of focus .
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