Prime-limit intervals

This page lists intervals within an octave where the ratios contain prime factors 7 and less. To turn off the reference pitch, change the first **ratio column’s name to something else. To listen to the rational numbers where the prime factors are multipled out, change the **rational spine names to **ratio and change the second **ratio column heading to something else such as **mute. This works similarly for the **cents column, which should also sound the same as the second **ratio column.

2-prime-limit intervals

3-prime-limit intervals

Here is the same list as above but sorted by exponents of 3 (circle of fifths). This includes all diminished, augmented, major, minor, and perfect intervals grouped together:

5-prime-limit intervals

7-prime-limit intervals

See also