# Octave-reduce

(Redirected from Octave reduced)

**Octave-reducing** a fraction *r* means to make it fit into the range from 1 (the unison) to (excluding) 2 (the octave):

1 <= r < 2

If *r* does not satisfy this inequality, it has to be

- multiplied by 2 while less than 1 or
- divided by 2 while greater than or equal to 2

## Examples

- 3/4 is less than 1, so multiply by 2 to get 3/2
- 7/2 is greater than 2, so divide by 2 to get 7/4
- 4/2 is greater than 2, so divide by 2 to get 2, which is equal to 2, so divide by 2 to get 1