Math Songs

constant

π

base

digits

shift

duration per note

repetition

instrument

Piano

type

single

simultaneous

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This Demonstration generates music pieces based on seven mathematical constants in different bases:

π

,



, the golden ratio

ϕ

, Euler γ, and the Catalan, Khinchin, and Glaisher constants, up to 300 digits. The constants were "sonified" by assigning notes from several instruments to the digits 1 through 9, taking 0 as a rest of the given duration. The "simultaneous" option plays the constants

π

,



and

ϕ

at the same time with different random instruments for each one. The "shift" control allows you to shift the note spectrum to a higher or lower frequency.