Experiment I Suite    works completed on August 8, 2012 and December 13, 2012 / dissertation filed on August 29, 2013
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UCSB Catalog Entry B1639, Links & Files
In this experiment, subjects were asked to compare the relative aesthetic value of pairs of sonifications of analog mathematical objects. In each pair, one of the mathematical objects was closely related to the Fibonacci sequence whereas the other was not. The evidence gathered suggests that the utilization of the golden ratio and the Fibonacci sequence could have potentially negative effects on the aesthetic value of sonifications. To view the main experiment page, click here. This page presents explanations and audio files of the pairs of sonifications used in the experiment. Scroll to the bottom of an explanation to hear the sonifications.

In order to create fair comparisons, the following criteria were met for the sonifications chosen for the study:
 • Analog mathematical objects were chosen for each pair: a binary sequence was compared to another binary sequence, a signature sequence was compared to another signature sequence, etc.
 • Fair comparisons were sought: the experimenter chose mathematical objects not related to GR and FS that he found to be interesting both mathematically and when sonified.
 • Various types of mathematical objects were chosen: binary sequences, real number sequences, numeral systems, integer sequences, and single irrational numbers.
 • The sonifications were carried out in an identical manner within each pair: different numbers were simply ''plugged in.''
 • The total time attributed to the Fibonacci-related sonifications was within 1% of the total time attributed to the sonifications they were pitted against.


A .zip file containing all of the sonifications and the original Csound files used to create them can be downloaded here (69.1 MB).
Definitions
Pair 1: Binary Sequences, Golden String vs. Thue-Morse Sequence
♫ Listen:
golden string, Thue-Morse sequence


Pair 2: Fractional Part of Multiples, Fractional Part of Phi vs. 1/8 Multiples
♫ Listen:
frac(n*phi), frac(n*(1/8))


Pair 3: Numeral Systems, Dual Zeckendorf Representations vs. Binary Integers
♫ Listen:
dual Zeckendorf representations, binary integers


Pair 4: Signature Sequences: Phi vs. Ramanujan-Soldner Constant
♫ Listen:
Phi signature sequence, Ramanujan-Soldner signature sequence


Pair 5: Irrational Numbers, Phi vs. sqrt(3)
♫ Listen:
Phi, sqrt(3)