The wording of your question could be clearer, but I think I understand it.
Given these diatonic chord: I IV V vi
...
If you always start with I
...
Can the following chords be IV V vi
in any order...
And still "work" ..."most of the time?"
Yes and no. The problem is using vague expressions like "work" and "most of the time."
Just about anything will work most of the time for some reason... but that is not very informative. To me, the question is "do you want to understand functional harmony or do you just want a random chord progression generator?"
The permutations of your set up are:
I IV V vi
I IV vi V
I V IV vi
I V vi IV
I vi IV V
I vi V IV
All of those will "work" at least "most of the time." But how does that help anyone? Work how? Work when? To continue from there will just be more groping around.
The way to better understand these progressions is through an understanding of functional harmony and the effects of following and not following standard function.
Function harmony is the flow of chord functions: pre-dominant (or subdominant) to dominant to tonic. In Roman numerals that is typically IV V I
or ii V I
where IV
or ii
both can fulfill the pre-dominant/subdominant function. Following that standard function is described in various ways like "strong", "moving to home", or "works."
But you don't always have to follow the functional flow. Other progressions can be used. They have different "feels" and can be describe with various musical terms. Let's list a few using just enough chords to illustrate the ideas:
IV V | I
the standard functional progression, V | I
is a "closing" gesture, it's an ending
I V
is tonally strong, but is an "opening" gesture, it leads to a continuation
V IV | I
swaps the subdominant and dominant positions, but still has all the primary tonal chords so is tonally clear, could be called less emphatic than the standard functional progression, plagal is the label for the IV I
progression at a cadence or important structural point like repeating the progression, heard in rock and 12-bar blues
V vi
is a deceptive progression the "deception" being rather than V
moving to I
it goes to vi
and deceives our expectation.
I vi
pairs the tonic and relative minor, the chords are similar as both contain the ^1
tonic and ^3
mediant scale degrees, this progression can be a prolongation of the tonic chord (pairing vi IV
is similar but it prolongs the pre-dominant function)
We need to make a general caveat that "functional" and "strong" should not be misunderstood as "good" and "non-functional" and "weak" means bad. "Strong" and "weak" progressions are just the standard descriptions used for progressions in music theory. Each type can be employed for various effects. Weak progression could be used to create a gentle mood for example. Also, "functional harmony" and "tonal harmony" are often used synonymously, and when harmony is non-functional it is sometimes called "modal." (Modal harmony is where the plagal term comes from.) Modal harmony can be just as effective as tonal harmony, but I think that get's beyond the scope of the question, so we should move on.
Now let's list the permutations of I IV V vi
again, but with comments and in roughly descending order from most functional...
I vi IV V
- standard functional progression, first three chords by roots descend by third, nicknamed "doo-wop" progression.
I IV vi V
- same as "doo-wop" but flip the order of the two pre-dominant chords which does not undermine the essential functional flow
I IV V vi
- standard functional progress, but ends with deceptive progression
I V vi IV
- starts with an opening gesture, continues with a plagal move, nicknamed "Axis of Awesome", with no "ending" gesture it lends itself to repeating
I vi V IV
- tonic prolonged, then a plagal move
I V IV vi
- opening gesture, then weak ascending thirds, least emphatic, tentative
All of those could be made to "work" but they have different potentials.
I would add in a few more ideas to replace "random" chord use with deliberate handling...
- harmonic rhythm, how long each chord lasts, the relative importance of a chord in a progression can be altered by duration: one chord per bar, one chord for two bars, two chord per bar, etc.
- metrical position, placing a chord on beat 1 emphasizes it, other beat positions or syncopation can de-emphasize a chord
- prolongation or auxiliary effects can be made with neighbor chord one step away by root, ex.
V IV | V
or vi V | vi
, etc.
- returning to the previous chord will usually repeat one of the devices already covered and add interest to a basic progression
- to the extent that the non-functional progressions tend toward "weak" progressions, you can try to strengthen or clarify them by just adding a
V
at the end, or maybe a plagal IV
So, if you apply some of those ideas to one of the "weaker" progressions, you could take (|
means a barline)...
| I | vi | V | IV |
...and modify it to...
| I vi | V | IV V | IV |
which subordinates vi
and emphasizes plagal IV
, when reduced it's mostly | I vi | V | IV | IV |
which maintains the original chord order, but changes the relative importance of each chord.
...or it could be modified like this...
| I vi | I | vi V | IV V |
which when reduced sort of transforms the original to | I | I | vi | V |
The important idea is to take your initial impulse - "what can I do with just four chord" - and replace the "random" groping around with an understanding of how functional harmony, relative strength of progressions, harmonic rhythm, and metrical placement can be used to make a progression "work" to produce a musical effect.