| Convergence to the Golden Ratio no. 6 |
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| Casey
Mongoven |
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| August
7, 2005 |
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| PARAMETERS |
GRAPH |
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SEQUENCE VALUES |
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| description
of piece: Fibonacci sequence used on both speakers; |
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| right
speaker trails the left by 1 member of the sequence, showing |
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| how
adjacent members of the Fibonacci sequence converge to |
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| the
golden ratio interval in the harmonic series |
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| number
of members in sequences used: 14 |
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| length:
40.95 seconds |
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| note
value: 3.15 seconds |
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| temperament:
series of harmonic partials |
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| waveform:
sine 0° |
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| lowest
pitch: 28 Hertz |
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| highest
pitch: 17080 Hertz |
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| dynamic
value: pppp |
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| attack:
.035 seconds |
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| release:
.035 seconds |
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| # |
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pitch in Hz |
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| 1 |
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28 |
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| 2 |
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56 |
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| 3 |
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84 |
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| 5 |
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140 |
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| 8 |
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224 |
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| 13 |
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364 |
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| 21 |
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588 |
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| 34 |
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952 |
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| 55 |
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1540 |
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| 89 |
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2492 |
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| 144 |
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4032 |
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| 233 |
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6524 |
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| 377 |
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10556 |
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| 610 |
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17080 |
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