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Lesson 3 of 4
  • Year 4

The golden ratio and music

I can structure a short musical piece by including the climatic point at the golden ratio.

Lesson 3 of 4
New
New
  • Year 4

The golden ratio and music

I can structure a short musical piece by including the climatic point at the golden ratio.

Lesson details

Key learning points

  1. The Fibonacci sequence can be shown in a spiral shape.
  2. We can find this sequence or its related Fibonacci spiral in nature and art.
  3. The sequence and spiral create a ratio that is approximately ⅔ to ⅓. This is called the golden ratio.
  4. The golden ratio can often be heard in music, with the climax of the music at the golden ratio point.
  5. A piece of music can be inspired and built from one small musical idea. Eric Whitacre calls this a ‘golden brick’.

Keywords

  • Fibonacci sequence - a number sequence where where each number is the sum of the previous two, starting from 0 and 1

  • Fibonacci spiral - a visual pattern formed by drawing arcs connecting the corners of squares whose side lengths follow the Fibonacci sequence

  • Golden ratio - a special or ‘perfect’ proportion found in nature, art, music and maths that makes things look and sound balanced and beautiful

  • Climax - the point of the most intensity, the peak of the music

  • Golden brick - Eric Whitacre’s term to describe a small musical idea that is the core building block on which the whole piece is built

Common misconception

The golden ratio and the golden brick are connected or the same thing.

Here, the word golden is used to suggest beauty, balance or perfection, or its importance. However, these two concepts are not connected. Be sure the pupils understand that Whitacre uses the term 'golden brick' just to mean his small musical idea.


To help you plan your year 4 music lesson on: The golden ratio and music, download all teaching resources for free and adapt to suit your pupils' needs...

You may wish to create a whole class piece first that helps pupils scaffold their understanding of where the golden ratio fits into a whole piece.
Teacher tip

Equipment

At least one pitched percussion instrument per ensemble group, plus a selection of classroom percussion instruments.

Licence

This content is © Oak National Academy Limited (2026), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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Prior knowledge starter quiz

4 Questions

Q1.
Match the musical element to its definition.

Correct Answer:structure,the way the music is organised

the way the music is organised

Correct Answer:rhythm,the pattern of sounds and silences that we play and sing

the pattern of sounds and silences that we play and sing

Correct Answer:duration,the length of a sound or silence

the length of a sound or silence

Q2.
music is instrumental music that aims to represent something non-musical, such as a story, picture, scene, idea or emotion. This contrasts with absolute music.

Correct Answer: Programme, Program

Q3.
A __________ is a self-contained section of a large-scale musical composition, like a chapter in a book.

folk song
symphonic work
Correct answer: movement

Q4.
Match the musical terms.

Correct Answer:dynamics,how loud or quiet the music is

how loud or quiet the music is

Correct Answer:crescendo,gradually getting louder

gradually getting louder

Correct Answer:diminuendo,gradually getting quieter

gradually getting quieter

Assessment exit quiz

4 Questions

Q1.
How does the Fibonacci sequence sometimes relate to music?

it is used in every piece of music
Fibonacci was a famous composer
Correct answer: its connection to the golden ratio

Q2.
True or false? The golden ratio is often a symbol of balance and beauty in music, art, maths and nature.

Correct Answer: True, correct

Q3.
If the climax of the piece is at the golden ratio, this will be roughly __________ of the way through the piece.

1/4
1/2
Correct answer: 2/3
2/4
1/3

Q4.
We reach the Deep Field at the point of the ...

Fibonacci sequence
Correct answer: golden ratio
Fibonacci spiral