Common Chord Functions in Music
In the process of learning songs and practicing jazz standards, there are some common progressions that can be summarized. Here are the types of chords listed from simple to complex. I believe these seven types constitute the basic elements of most songs. If it's pop or rock music, the first four types might be enough.
Each of these seven chords can be individually explained and they can be substituted for each other. Sometimes it depends on what the creator thinks sounds good, so even if you know these, understanding the application still requires familiarity with the songs.
As for the scales corresponding to each chord, that's another big topic.
Tonic Chord
A chord composed entirely of notes from a specific key, such as 1, 2m, 3m, etc.
Subdominant Chord
The root note is composed of notes within the key, but the chord is a dominant seventh chord. It is used to create a special sound and is usually resolved to the tonic chord.
Sub-V (bII7/bV7)
Similar to the subdominant chord, but resolving down a half step. It can be used in conjunction with the subdominant chord.Borrowed Chords
Borrowed from the parallel minor key's tonic chord. Common examples include 4m, b6, b7, etc.Modal Interchange
Less common, but one of the more famous examples is bII, borrowed from the parallel Phrygian mode.Diminished Chord
The diminished chord has many special functions. The most common is connecting two whole-tone progression chords, such as 2m to #2dim to 3m. In addition, the diminished seventh chord can be seen as a dominant seventh chord flattened nine half steps, such as Bbdim7 = A7b9 (without the root note).Auxiliary Chord
Less common, but usually attached to a half-step near the tonic chord for a brief modulation. For example, in Horace Silver's "Strollin'," the progression is 1maj7, 1maj7, b3m7 b67, 2m7 57.

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