Making Connections

Second Tangent (full circle)
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TMA -> 2001-> Composer, Gyorgy Ligeti (Atmospheres) -> micropolyphony

"The complex polyphony of the individual parts is embodied in a harmonic-musical flow, in which the harmonies do not change suddenly, but merge into one another; one clearly discernible interval combination is gradually blurred, and from this cloudiness it is possible to discern a new interval combination taking shape." Techniques of the Contemporary Composer, David Cope (1997).

micropolyphony -> field condition -> Stan Allen

"The generation of from through 'sequence of events' is somewhat related to the generative rules for flock behavior or algebraic combination"..."formal or spacial matrix capable of unifying diverse elements whiles respecting the identity of each." Field Relations, Stan Allen.

field condition -> game theory/stochastic -> Architect/Composer, Iannis Xenakis (Continuum) -> Unité Polyagogique Informatique du CEMAMu (UPIC) -> Spectro Graph/ Slit scan photography-> Andrew Zago -> Urban Prarie -> St. Louis

Second Tangent
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Iannis Xenakis -> Le Corbusier -> Le Modular

"Le Corbusier developed the Modulor between 1943 and 1955 in an era which was already displaying widespread fascination with mathematics as a potential source of universal truths. In the late 1940s Rudolf Wittkower's research into proportional systems in Renaissance architecture began to be widely published and reviewed. In 1951 the Milan Triennale organized the first international meeting on Divine Proportions and appointed Le Corbusier to chair the group. On a more prosaic level, the metric system in Europe was creating a range of communication problems between architects, engineers and craftspeople. At the same time, governments around the industrialized world had identified the lack of dimensional standardization as a serious impediment to efficiency in the building industry. In this environment, where an almost Platonic veneration of systems of mathematical proportion combined with the practical need for systems of coordinated dimensioning, the Modulor was born." Golden Ratio in Art & Architecture, Nikhat Parveen, UGA.

Golden Section -> Humanism -> Classical Architecture