Chaos

This algorithm uses a logistic function based on the Malthusian Scenario of unrestrained growth. The original equation was developed by ecologists to predict population growth over time. Here the algorithmic output will create steady or chaotic states determined by the value of r and the number of generations selected.
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A.   Enter x, the starting population (0 < x < 1). Must be a decimal
   x =
B.   Enter r, the growth rate (r > 0). May be a decimal
   r =
C.   Enter the number of generations to calculate. (0 < n < 1000)
   generations =
D.   Enter the number of decimals to save
   decimals =
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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
learn more



Modification:
Convert each to a
Reverse
Invert
learn more


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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