Convergence to the Golden Ratio no. 4
Casey Mongoven
April 19, 2005
description of piece: harmonic
portrayal of convergence to golden ratio; fundamental 41.1 Hertz, 13 Fibonacci
partials used – all possible in hearing range; all partials at approximately
the same amplitude
number of
members in sequence used: 13
temperament: series
of harmonic partials
lowest pitch:
41.1 Hertz
highest pitch:
15494.7 Hertz
length: 50.97
seconds
waveform: golden
timbre, components: sine waves 0°
simulated
spatial location: -16°
dynamic value: ff
throughout
attack: .0072
seconds
release: .0065
seconds
pitches used:
#
pitch in Hertz (components of wave)
1 41.1
2 82.2
3 123.3
5 205.5
8 328.8
13 534.3
21 863.1
34 1397.4
55 2260.5
89 3657.9
144 5918.4
233 9576.3
377 15494.7
sequence values
(harmonic partials used):
1 2 3 5 8 13 21 34 55 89 144 233 377
graph:
letzte Partitur
nächste Partitur
Verzeichniseintrag zu diesem Werk