separable
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separable aaron foster bresley
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in mathematics a topological space is called separable if it contains a sequence of elements, such that every nonempty open subset of the space contains at least one element of the sequence. this piece is based on the perfect 9/1 ratio between the octave flageolet of the violins A string and the cellos open G. this relationship gives birth to a series of short subsets which all spawn from, and retreat to that initial chord.
Transcript of separable
separableaaron foster bresley
separableaaron foster bresley2014-2015
performance notes:
all strings should be tuned to just intervals using A = 440 (e + 2c, a +- 0, d - 2c, g - 4c, c - 6c).
all justly tuned notes are marked using the Extended Helmholtz-Ellis JI Pitch Notation, developed by Marc Sabat and Wolfgang von Schweinitz. Additional cent marking specify pitch deviation from the respective pitch in Equal Temperment
each stave has a duration of around 15 seconds
program notes:
in mathematics a topological space is called separable if it contains a sequence of elements, such that every nonempty open subset of the space contains at least one element of the sequence. this piece is based on the perfect 9/1 ratio between the octave flageolet of the violins A string and the cellos open G. this relationship gives birth to a series of short subsets which all spawn from, and retreat to that initial chord.
e n v f o u m
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~ pythagorean series of non-tempered perfect fifths (2 cents)
~ raises/lowers the pitch by a syntonic comma (81/80 = circa 21.5 cents)
~ lowers the pitch by a 13-limit tridecimal thirdtone (27/26 = circa 65.3 cents)
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