All-interval tetrachord
An all-interval tetrachord is a tetrachord, a collection of four pitch classes, containing all six interval classes. There are only two possible all-interval tetrachords, when expressed in prime form. In set theory notation, these are and . Their inversions are and . The interval vector for all all-interval tetrachords is .
Table of interval classes as relating to all-interval tetrachords
In the examples below, the tetrachords and are built on E.| ic | notes of built on E | diatonic counterparts |
| 1 | E to F | minor 2nd and major 7th |
| 2 | A to B | major 2nd and minor 7th |
| 3 | F to A | minor 3rd and major 6th |
| 4 | E to G | major 3rd and minor 6th |
| 5 | F to B | perfect 4th and perfect 5th |
| 6 | E to B | augmented 4th and diminished 5th |
| ic | notes of built on E | diatonic counterparts |
| 1 | E to F | minor 2nd and major 7th |
| 2 | F to G | major 2nd and minor 7th |
| 3 | E to G | minor 3rd and major 6th |
| 4 | G to B | major 3rd and minor 6th |
| 5 | E to B | perfect 4th and perfect 5th |
| 6 | F to B | augmented 4th and diminished 5th |