Comparison of tonal distances.

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Abstract
"Experiments on the bisection of supraliminal tonal intervals . . . have shown that the midpoint for intervals not larger than an octave coincides with the geometrical mean, but that in proportion as the intervals exceed the limits of an octave their midpoints tend to move up from the geometrical towards the arithmetical mean. Direct comparisons of the same interval at different pitches, as made in the present experiment, reveal similar phenomena. The interval begins to assume greater size when the pitch is increased by an octave. At an octave and a half its apparent size has increased nearly 100 cents . . . " (PsycINFO Database Record (c) 2006 APA, all rights reserved)

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