Ivories wrote:"Rules" (whether or not that's the right word for them) of composing evolved over long periods of time, and not always for coherent reasons. The various theoretical explanations of how harmony works all have some things going for them, but it's probably fair to say there has never been a complete, thoroughly convincing explanation of conventional, 18th-century harmony, that accounts fully for all its complexities. Wurlitzer mentions Rameau, and his idea that the dominant grows out of the tonic. This idea was well-received by other music theorists, and proved why the dominant was so important within a key. However, they struggled to find an explanation for the subdominant: you can easily see how this chord is almost equally important as the dominant in the music of the period, but Rameau and successive generations of music theorists couldn't find a similarly convincing way of deriving it from the tonic.
It's certainly true that Rameau was not the be all and end all, and there were other theorists who saw things differently from him, but I think with respect I'd disagree with your point about the subdominant.
Firstly, you refer to the subdominant being "almost equally important" as the dominant. That may be true, depending on how you define "importance", but there's no doubt that the identities, usages and connotations of the two chords within the tonal system are radically different.
Opposite, in fact: and this is precisely why the subdominant is called the SUBdominant - because it has a relationship under the dominant that mirrors the relationship of the dominant above it. A lot of people mistakely think the subdominant is so-called because it's "under the dominant" within the scale. Not so: the name comes from the idea of it's being the "under-dominant" to the tonic. ie, just as the dominant lies a fifth above the tonic, the SUBdominant lies a fifth below it.
Rameau gave several very good explanations of this phenomenon, and it boils down to this: the tonic bears the same relationship to the subdominant, as the dominant bears to the tonic. It naturally falls by 5th to it, since our ears make the connection between the root of the tonic and the second overtone of the subdominant's harmonic series.
Now that all sounds nice and neat, but there are several problems and complications, and the need to deal with these can be seen precisely in the way composers actually handled the subdominant in practice.
For example, we don't WANT the tonic to resolve onto something else, because then we'd lose the sense of where the tonic IS! This is why almost every single 18th century sonata movement in a major key modulates to the dominant at the end of the exposition, and I don't know about you but I haven't seen a single one that goes to the subdominant. If it did, the architecture wouldn't work. The effect would be of "falling" into the middle of the piece and having to "climb" back out to the end, which is the exact opposite of what composers were trying to achieve, and would be ultimately unsatisfying.
OTOH the subdominant can have the most incredibly poignant sense of melancholy if used sensitively. For example Bach has a habit of tossing in a subtle move via it right at the VERY end of a movement - like in the second-last phrase or so. The point here is that the architecture of the movement is already completed. We have returned to the tonic and we can feel the end coming - he can then afford to play with us a little by taking the pull of gravity even FURTHER down, because the identity of the tonic is not at stake.
OTOH, ever noticed how the slow movements of classical major-key symphonies are usually in the subdominant key, not the dominant? Similar explnation: the overall key of the piece is not in doubt by this point, because we've already heard the whole I-V-I story of the first movement. Dropping to the subdominant perfectly suits the softer, more introspective quality normally required by the slow movement, and there's two more movements to come to reaffirm the tonic after it, so that's safe enough.
If you see the subdominant in these terms - as a kind of more tonic than the tonic, then the idiomatic usage of 18th century composers make complete sense.
Rameau also had a very canny explanation for the use of IV in a more microcosmic sense, in the typical progression I - IV - V - I, to do with it's similarity to II. We can see IV as just the upper three notes of II7. Thus I falls by natural gravity to IV, which is reinterpreted as II, which falls by natural gravity to V, which falls by natural gravity to I. Natural gravity all the way, baby! makes sense when you look at how interchangeable IV, IVb, II, IIb, II7 and II7b are in that progression in practice.
Incidentally, I'm not convinced by the idea that the primary movement in a blues is towards the subdominant: in early 12-bar blues (pre-50s) it seems to me very common for bars 9 and 10 both to rest on the dominant chord, so you almost get a nice perfect cadence at the end, and almost a sense that chord IV in the 5th and 6th bars is a dominant preparation. Sometimes you even find II-V-I in bars 9-11.
That's an interesting and very valid way of hearing 12-BAR-BLUES, but I was referring more to the roots of the blues. Long before there was the codified 12-bar form, there were people jamming and making up lyrics, without much sense of precomposition or predetermined form, in blues and gospel styles. If you listen to field recordings of this music, a huge amount of it just oscillates between I and IV indefinately. Often it's not even exactly clear whether an actually chord change is happening, or whether it's just the result of linear processes: the lead singer might rise 3-4 for expressive reasons, and a backing singer will naturally follow 5-6 with him, and then the 4 and the 6, along with the held drone 1, makes a chord IV. Sometimes there'll be a bass, which sometimes changes root note but often doesn't. You get the feeling that there's this amazingly organic process going on whereby the typical early African-American vocal mannerisms and the over-arching harmonic axis of I-IV-I are gradually exploring and clarifying each other.
This tradition can still be heard in people like Ray Charles, Aretha etc. When soul and RnB songs settle into 2-chord oscillations that go on for considerable time, the chords are usually I7 and IV7, not anything to do with V.
The 12-bar form, with its important use of V, came later. And the II-V-I ending was most certainly something that was grafted onto it by educated jazz composers, not part of the roots. Bebop composers then took this process even further and put a VI before the II, then III before the VI, and so on and so forth...
Returning to the subject of rules: some rules of harmony originate in the nature of sound, and overtones, as Wurlitzer said. However, a lot of the rules of western composition also originate in the nature of the human voice. Music theorists generally make a distinction between harmony (principles governing how you create and combine chords, scales and keys) and counterpoint (principles governing how you combine several melodic lines). Obviously in practice these overlap a lot. However, most of the traditional rules of counterpoint have their origins in the sense of what was comfortable to sing. The rules of counterpoint in what was known as the Strict Style (as originating in the 16th century, but as taught widely to students in all centuries including this one!) dictate, for example, that a melodic line should stay within the compass of an octave, plus one note higher or lower (a comfortable range for most singers); that if you use a melodic leap of more than a third, it should be followed by a step in the opposite direction; that leaps of a major sixth, seventh, or any augmented or diminished interval should be avoided (as they are difficult to pitch); that dissonant notes should arise as a result of stepwise or oblique motion, and should resolve by step. These rules were all felt to be natural to the voice. The bans on parallel octaves and fifths are also rules of counterpoint rather than harmony (although they impact on writing harmony as well): parallel octaves were prohibited because they weaken the sense of independence of each melodic line; parallel fifths were prohibited because the effect of a perfect fifth is to define a particular chord or sonority very strongly, and to sound it successively on two different chords asserts the identify of each so strongly that it destroys a sense of connection between the two.
Moste definitely. Absolutely. I was going to go into the consecutives thing in reply to Hollowsun's post, but even I get tired of rabbitting on eventually.