|Genre Categories||; ; ;|
|Alternative. Title||12-Tone Chords on an All-Interval Row|
|Composer||Armstrong, Peter McKenzie|
|I-Catalogue NumberI-Cat. No.||IPA 23|
|Year/Date of CompositionY/D of Comp.||2012|
|Dedication||in memoriam Phil Winsor|
|Average DurationAvg. Duration||90 seconds|
|Composer Time PeriodComp. Period||Modern|
In the mid 80s I wrote the first of several algorithms collectively named "IntLens", which, given any
pitch class series (probably a 12-tone row), complemented &/or compounded its intervals in all
combinations of selection by class, outputting each result as a chord graph with associated
Now for a sounding realization of that idea, I have chosen input series 0 1 4 2 9 5 11 3 8 10 7 6,
Mallalieu's all-interval row (the most perfectly self-similar, with second half retro-inverting the first),
to ensure that chord-to-chord contrast will stem maximally from registral differences and minimally
from source-specific quirks.
Viewing the total process as one of expansion, I have assigned importance to the relative pitch
density at a chord's extremities (top/bottom), and made such densities determine for each chord
both duration (via tempo settings) and volume level.
To avoid notehead collision in the tighter-registered chords, each chord is scored in two columns:
one for black keys, with a collective sharp sign; and a second for whites, with a collective natural
sign. The column pair is to be read as sounding at once.
There are two movements, applying alternate ordering criteria. The first sequences chords outerly
by range, innerly by density; the second reverses this sort priority.
Not explicit in the score (though implemented in the audio files) is consistent chord arpeggiation.
This is applied: in Movement I as "rolls" in row-sequence order (rather than up or down), and in
Movement II as "unrolls" -- correspondingly ragged endings following block-chord attacks.
Refractions is dedicated in memory of Phil Winsor, who mentored the IntLens project during my
season at UNT and once corralled me as keyboardist in an exhilarating chordal adventure of his
own. He dared anything graced with discipline.