Convergence to the Golden Ratio no. 3
Casey Mongoven
April 3, 2005
description of
piece: Lucas sequence used on both speakers; right speaker
trails the left by 1 member of the sequence, showing how adjacent members of
the Lucas sequence converge to the golden ratio interval in the harmonic series
number of
members in Lucas sequence used: 12
number of
intervals used: 11
temperament: series
of harmonic partials
lowest pitch:
56 Hertz
highest pitch:
11144 Hertz
length: 30.91
seconds
note value:
2.81 seconds
waveform right
speaker (30°): sine 0°
waveform left
speaker (-30°): sine 180°
dynamic value: f
throughout
attack: .0055
seconds
release: .0089
seconds
pitches used:
# pitch in
Hertz
1
56
2 112
3 168
4 224
7 392
11 616
18 1008
29 1624
47 2632
76 4256
123 6888
199 11144
sequence values
(harmonic partials used):
LEFT SPEAKER
2
1
3
4
7
11
18
29
47
76
123
RIGHT SPEAKER
1
3
4
7
11
18
29
47
76
123
199
graph:
letzte Partitur
nächste Partitur
Verzeichniseintrag zu diesem Werk