2022 Musical Notation

Pratt Adjacent Interval Chart 1:256 8 octaves

Pratt, Ryan Hughes

In contrast to lists of intervals produced by Helmholtz in On the Sensations of Tone, or those of Harry Partch's ‘Monophonic fabric’, this resource is inclusive of all intervals numerically available to a limited range of octaves. In this interval appendix, 10,024 unique intervals are presented in harmonic ratios within a single octave space. These distances include many decimals for more precise comparisons to adjacent-in-size intervals within the numerical range of eight-plus octaves (1:256).

This document lists the 9966 unique intervals within 1:256 (8 octaves) plus some additional intervals above partial 256, for a total of 10,024 unique intervals.