9-odd-limit

From Xenharmonic Reference
This page or section is a work in progress. It may lack sufficient justification, content, or organization, and is subject to future overhaul.

The 9-odd-limit consists of all intervals where the largest allowable odd factor in the numerator and denominator is 9. Reduced to an octave, these are:

Interval Cents Name
1/1 0.0 Unison
10/9 182.4 Minor whole tone,
Ptolemaic major 2nd
9/8 203.9 Major whole tone,
Pythagorean major 2nd
8/7 231.2 Septimal major 2nd
7/6 266.9 Septimal minor 3rd
6/5 315.6 Classical minor 3rd
5/4 386.4 Classical major 3rd
9/7 435.1 Septimal major 3rd
4/3 498.0 Perfect 4th
7/5 582.5 Lesser septimal tritone
10/7 617.5 Greater septimal tritone
3/2 702.0 Perfect 5th
14/9 764.9 Septimal minor 6th
8/5 813.6 Classical minor 6th
5/3 884.4 Classical major 6th
12/7 933.1 Septimal major 6th
7/4 968.8 Septimal minor 7th
16/9 996.1 Pythagoran minor 7th
9/5 1017.6 Classical minor 7th
2/1 1200.0 Octave