CHRISTOPHER OTTO

compositions

MAW 35 basses and 108 violins 2021 25'
rag′sma 2 or 3 string quartets 2019 20’
violin octet 8 violins 2013 112’
Nathaniel Giles: Miserere (1594) 4 violins 2020 4.5'
Rodericus: Angelorum Psalat (ca. 1390) string quartet 2011 4'
violin duo 2 violins 2010 10’
3x4x5 string quartet + sine tones 2017 27’
Thomas Morley: Christes Crosse (1597) string quartet 2018 5'
Solage: Fumeux fume par fumée (ca. 1390) string quartet/td> 2018 7'
1260 1980 sine tones 2017 52’
Firehouse piece 4 Hutchins violins + sine tones 2015 56’
Stone piece 5 Hutchins violins 2014 51'
piece for Erik violin + sine tones 2013 9’
Algol string quartet + sine tones 2008 14'
Weslos Partch instruments 2018 16’
metadivisors sine tones 2017 27’
Ductually Crossible Flassionallion violin + sine tones 2016 2160’
Absolessaged Backly cello + sine tones 2016 30’
Stone drone 5 Hutchins violins + sine tones 2013 60’
Castor and Pollux Hutchins violin octet 2010 23’
Dovetails string quartet 2009 13'
Bushwick installation sine tones 2008 60'
beat sine tones 2005 130'
Quartets string quartet + sine tones 2004 3.5'
Sexdectet 4 string quartets 2004 5'
Mutatis Mutandis 2 synthesizers 2004 16'
Cynosures piano 2003 4.5'

Stone Drone

for 5 Hutchins violins + sine tones

score

sine tones

performed August 7, 2013 by
Christopher Otto, Mezzo Violin
Emily DuFour, Alto Violin
Kevin McFarland, Tenor Violin
Lauren Radnofsky, Baritone Violin
Greg Chudzik, Contrabass Violin

The form of the drone is based on cycles of 1:2:3:4:5:6:8:10:12:14:16:20:24:28.

Each of those cycles corresponds to a fundamental frequency proportional to the cycle speed - ie, the slowest (1) corresponds to a fundamental of 15/4 Hz, while the fastest (28) corresponds to 28*15/4 = 105 Hz.

These cycles are represented by the fade-in and fade-out of the fundamental. Within each fundamental are harmonics (which are all 7-limit integers (ie numbers whose only prime factors of 2, 3, 5, or 7) up to a certain frequency cutoff) which are each beating at speeds proportional to their frequency.

Against this cyclical structure, the string parts follow a trajectory similar to the Violin Octet, ie starting with high fundamentals and going down to the lowest.

They basically start and end each section with the peak of the corresponding drone cycle, although the entrances are staggered.

The available bow speeds of each section are determined by those numbers of sixteenths (or triplets for a couple sections) which evenly subdivide the length of the section (ie formal cycle) and which are within a certain range (ie 10 16ths through 16 16ths, I believe, to allow for comfortable bowing).