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The rainbow is a continuous spectrum of light but we arbitrarily break it up into seven colours - red - orange - yellow - green - blue - indigo - violet.

Similarly, although the frequency of sound is continuous, we also arbitrarily divide the interval over which the frequency doubles into seven notes:

do - ray - me - far - so - la - te

Interestingly, this is culturally based. In China, the rainbow is described as only five colours and similarly, Chinese music is mainly based on a pentatonic (five note) scale.

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Q: What does music and the rainbow have to do with each other?
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