Fibonacci Waltz Ted Froberg

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Fibonacci Waltz Ted Froberg

• Main theme derived by converting Fibonacci
  numbers into musical notes.
• Conversion is a simple substitution cipher.
  Hence, the first six Fibonacci numbers point to
  the 1st, 2nd, 3rd, 5th, 8th and 13th notes on a
  scale.
• Using the diatonic scale - the white keys on a
  keyboard - these notes are C, D, E, G, C and A.

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Fibonacci Waltz

• To accommodate larger numbers in the sequence,
  repeat the scale indefinitely and ignore octaves.

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Fibonacci Waltz

• Because of their recursive property, Fibonacci
  numbers produce an infinitely repetitive melody
  of just sixteen notes nature's melody.

Fibonacci Waltz First 48 notes
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Fibonacci Waltz

• Here is the same melody, with added rhythm and
  harmonies. Listen, as the Fibonacci Waltz begins
  to take form

Fibonacci Waltz rhythm harmonies

• Finally, The Fibonacci Waltz is exactly five
  minutes in length - a Fibonacci number of course!

Fibonacci Waltz
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