X. Key Centers and Harmonic Analysis
Memorize the qualities of the chords of a harmonized major scale.| Imaj7 | iim7 | iiim7 | IVmaj7 | V7 | vim7 | viim7b5 |
| major | minor | minor | major | dominant | minor | minor 7 flat 5 |
| im7 | iim7b5 | bIIImaj7 | ivm7 | vm7 | bVImaj7 | bVII7 |
| minor | minor 7 flat 5 | major | minor | minor | major | dominant |
The Roman numerals with the qualities added are called functions.
When analyzing a chord progression you try to fit the chords into the above formulae. Since the dominant seventh and minor seventh flat-five chord occur only once in each key, find chords of these types first and try to fit the rest of the chords into that one key. If it works, then you can play over the entire progression using only one scale.
Label the key centers in chord progressions. Write the numerical functions beneath.
| D major | |||||||
| Em7 | A7 | F#m7 | Gmaj7 | Em7 | Bm7 | A7 | Dmaj7 |
| iim7 | V7 | iiim7 | IVmaj7 | iim7 | vim7 | V7 | Imaj7 |
The presence of a m7b5 chord nearly always indicates a minor key center.
| Eb minor | |||||||
| Fm7b5 | Bb7 | Ebm7 | |||||
| iim7b5 | V7 | im7 |
The dominant-quality V7 chord above is not strictly diatonic (the diatonic v chord is minor), but is actually more-frequently used than the “real” one. Play Eb harmonic minor (Bb Phrygian Dominant) over the Bb7 chord.
If one or more chords does not fit the scale-harmony formula, then you have non-diatonic chords or a key change, covered in sections XII and XIII.
