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I wonder why these 4 chords sound very good together and very common. No matter what kind of music I look at to I usually see these chord progression and very large amount of pop songs using this chord progession only. Actually I wonder it both in Music Theory and Physics context. Is there any such explanation maybe with its frequencies or something like that?

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    Ah, the Spanish or Andalucian sequence. Not that common. – Tim Apr 15 at 12:49
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    @Tim: Oh, yes, very very common! almost like für Elise and lesson one. – Albrecht Hügli Apr 15 at 13:56
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This is the Andalusian Cadence:

https://en.wikipedia.org/wiki/List_of_popular_music_songs_featuring_Andalusian_cadences

i VII VI V progression or vi-V-IV-III

https://www.uberchord.com/blog/andalusian-cadence-the-most-common-guitar-chord-progression/

I've heard it by most beginners on piano or guitar player or songwriter.

What it is special? The bass-notes of this progression are part of an old mode (but the final chord is E major.

They are very popular in Spanish music, I have it also in the ear from Jesus Christ Superstar, but there are many other songs.

Look up here in this SE Andalusian Cadence or I bVII bVI progression

When you look up the roman numbers at Google you find a lot of examples and songs using this progression (Andalusian Cadence)

like this:

http://musictheory.pugetsound.edu/mt21c/i-VII-VI-VII.html

or this one:

The i VII VI V – The Andalusian Cadence This chord progression is not strictly in one single key as we would understand in diatonic theory. It is used very frequently and is quite an ancient musical movement, which predates the emergence of modern music theory. It’s sometimes called the Andalusian Cadence and it does have an exotic quality due the major V chord. In a perfectly diatonic progression, we would expect that V chord to be minor if we were in a standard minor key.

https://keytomusicnorth.com/1701-2/

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  • And I thought a cadence only involved the final two harmonies. There are four here. – Tim Apr 15 at 19:11
  • in German we call the progression I-IV-V-I just: the cadence (the sequence of this 4 chords) – Albrecht Hügli Apr 15 at 20:01
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The sequence takes four chords from a minor key, starting with the tonic (Am), then sequentially working downwards (backwards), through the diatonic chords in that key - G (VII), F (VI), down to E (V - dominant), which pushes back to the tonic.

It's not that common - not even one percent of the thousands of songs I've ever played had this sequence. However, it is more common in Spanish influenced pieces, which often favour minor sonorities.

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It's a strong bass-line, walking down from the tonic to the dominant. Maybe a LITTLE more common than @Tim opines in his answer!

A reminder that there's more to harmony than the Cycle of 5ths.

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  • Hit the Road Jack, Runaway, Malaguena. After that, what? The list must run into scores of well-known songs... – Tim Apr 15 at 15:42
  • @Tim Verse of Sultans of Swing (though in Dm)! – moonwave99 Apr 15 at 16:49
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Besides the ethnic music his particula chord progression can be heard in Paul McCartney's "Beware my love" chorus part from 1976 "Wings at the speed of sound" Moreover, this chord progression is more often associated with harmonic minor due to bVI - #VII

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