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Chord progressions are sequences of chords.

Chord progressions are generally built with diatonic chords.

Roman numeral notation is a concise, scale-independent way to represent chord progressions.

In roman numeral notation, the roman numeral represents the number of the scale note that the chord is built on.

In roman numeral notation, chords based on the major triad are upper-case (ex: IV, V7).

In roman numeral notation, chords based on the minor triad are lower-case. (ex: ii, vii°)

One of the strongest sounding, and most common, chord progressions is the descending fifth.

In the descending fifth chord progression, the 2nd chord is a fifth below the first chord.

One of the strongest descending fifth progressions is V7 - I.

The circle progression is a chain of descending fifth progressions.

Voice leading is the arrangement of chord notes in a progression to create smooth transitions between chords.

The most important rule of voice leading is to use the smallest possible movements when transitioning from one chord to the next.

Chord substitution is replacing chords in a progression with different chords that often sound similar or have a similar "feel" in the progression.

Chords that share many notes generally sound similar, and can be used as chord substitutes.