Appendices

Quick-Reference Tables

The core facts of the course on one page.

Intervals

Semitones 0 1 2 3 4 5 6 7 8 9 10 11 12
Interval P1 m2 M2 m3 M3 P4 TT P5 m6 M6 m7 M7 P8

Scales

Scale Formula
Major (Ionian) 1 2 3 4 5 6 7
Natural minor (Aeolian) 1 2 ♭3 4 5 ♭6 ♭7
Harmonic minor 1 2 ♭3 4 5 ♭6 7
Melodic minor 1 2 ♭3 4 5 6 7
Minor pentatonic 1 ♭3 4 5 ♭7
Major pentatonic 1 2 3 5 6
Blues 1 ♭3 4 ♭5 5 ♭7
Lydian 1 2 3 ♯4 5 6 7
Mixolydian 1 2 3 4 5 6 ♭7
Dorian 1 2 ♭3 4 5 6 ♭7
Phrygian 1 ♭2 ♭3 4 5 ♭6 ♭7
Phrygian dominant 1 ♭2 3 4 5 ♭6 ♭7
Locrian 1 ♭2 ♭3 4 ♭5 ♭6 ♭7

Mode signature notes: Lydian ♯4 · Mixolydian ♭7 · Dorian natural 6 · Phrygian ♭2 · Phrygian dominant ♭2 with major 3

Chords

Chord Formula
Major 1 3 5
Minor 1 ♭3 5
Diminished 1 ♭3 ♭5
Augmented 1 3 ♯5
Power chord (5) 1 5
sus2, sus4 1 2 5, 1 4 5
add9 1 3 5 9
maj7 1 3 5 7
7 (dominant) 1 3 5 ♭7
m7 1 ♭3 5 ♭7
m7♭5 1 ♭3 ♭5 ♭7
dim7 1 ♭3 ♭5 ♭♭7

Harmony

Topic Summary
Diatonic chords, major I ii iii IV V vi vii°
With 7ths maj7, m7, m7, maj7, 7, m7, m7♭5
Diatonic chords, natural minor i ii° ♭III iv v ♭VI ♭VII
Harmonic-minor upgrades V and vii°
Function families Tonic: I, vi, iii · Subdominant: IV, ii · Dominant: V, vii°
Cadences V–I authentic · IV–I plagal · to V half · V–vi deceptive
Top borrowed chords in major iv, ♭VII, ♭VI, ♭III
Secondary dominants in C A7→Dm, B7→Em, C7→F, D7→G, E7→Am

Keys

Sharps or flats 0 1♯ 2♯ 3♯ 4♯ 5♯ 1♭ 2♭ 3♭ 4♭
Major key C G D A E B F B♭ E♭ A♭
Relative minor Am Em Bm F♯m C♯m G♯m Dm Gm Cm Fm

Order of sharps: F C G D A E B. Order of flats: B E A D G C F.

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