Constants

This algorithm outputs the digits of a chosen constant to a precision that you select.
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A.   Select a constant.

     π, or pi, the ratio of a circle's circumference to its diameter
     φ, or phi, the golden ratio
     ℮, the base of the natural logarithm


B.   Precision (number of digits of the constant to use,
      between 2 and 1000):


Calculated value:    



Next, normalize the algorithm's output by selecting from the options on the right. The values you derive will represent the pitch of each note. Move to Step 3 after making your choices.
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keyboard

Scaling:
Use values from to
perform division operation
perform modulo operation
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Modification:
Convert each to a
Reverse
Invert
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ALGORITHM OUTPUT VALUES



DERIVED PITCH VALUES



Now choose the duration of each note. You can either use uniform durations, or you can normalize the algorithm's output, as you did in Step 2. Proceed to Step 4 when done.
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Use a for the duration of each note
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Scaling:
Use values from to
perform division operation
perform modulo operation
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Modification:
Convert each to a
Reverse
Invert
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ALGORITHM OUTPUT VALUES



DERIVED DURATION VALUES



Click the Play button to listen to the notes with a MIDI player, or click Save MIDI to download a MIDI file, or click the Notate button to see the notes in sheet-music form.
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