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 columnâ€™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: