# Tonality diamond

The q-odd-limit **tonality diamond** is the diamond function applied to the odd numbers from 1 to q: diamond({1, 3, 5, ..., q}). Another way of defining it is in terms of the most common number theoretic height function on rational numbers: H(N/M) = max(|M|, |N|); as all rational numbers which are the quotient of two positive odd integers N/M with H(N/M) ≤ q, reduced to the octave.

## Contents

## Examples of scales

## Music

- Modern Jazz at the Crystal Ball by Norbert Oldani in the 7-limit diamond.