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  • Music
  • Math
  • Grades 9-12

Making Fibonacci Sequence Music
How can numbers make memorable music?

In this 9-12 lesson, students will discover the Fibonacci sequence of numbers, the concept of recursion, pattern, Phi, and the Golden Ratio. They will analyze the structure of music and compose an original musical phrase using the Fibonacci sequence. Students will participate in a jam session, adding instruments or lyrics to their performance.

 

 

Lesson Content

Learning Objectives 

Students will: 

  • Apply math concepts of recursion, pattern, Phi, and the Golden Ratio.
  • Peer review math processes. 
  • Analyze musical patterns that relate to the Fibonacci sequence.
  • Develop a simple set of rules for writing music using the Fibonacci sequence and identify what characteristics that music may have from an artistic point of view.
  • Compose a musical phrase using the Fibonacci sequence of numbers, the concept of recursion, pattern, Phi, or the Golden Ratio.
  • Use a keyboard, bells, or xylophone to study, play, or compose music using the Fibonacci sequence.
  • Sing a melody and harmony of a simple tune that uses a Fibonacci sequence.
  • Conduct a jam session.

 

Standards Alignment

Recommended Student Materials

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Teacher Background

Teachers should be familiar with the Fibonacci sequence, Phi, and the Golden Ratio. They should have an understanding of piano keys and basic music notation, melodies, and harmonies. Analyze sheet music for patterns or ratios that reflect the Fibonacci sequence of numbers. Patterns Across Cultures is also a lesson that explores the Fibonacci sequence in nature and art and can be taught as a visual arts lesson. 

 

Student Prerequisites 

Students should be aware of the math concept of Phi, which is the same as the Golden Ratio. Proficiency in the piano keyboard and music notation (reading and writing) is necessary. Basic aural skills for evaluating compositions. 

 

Accessibility Notes

Modify handouts, text, and utilize assistive technologies as needed. Allow extra time for task completion.

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  • Adaptation

    Ann Reilly

  • Content Specialist

    Ellie Pline

  • Editor

    JoDee Scissors

  • Updated

    November 1, 2023

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