Now, in this first verse are interesting lyrics that are referring to the chords being played, which I think are not hidden but you have to know a bit of music theory. English is not my first language so it might be a bit broken, but bear with me :)
"The forth, the fifth" refer to the degrees of the chords being played at this moment. In C major, the 1st degree is the C major chord, the 4th is F major, 5th is G major. This is a very common progression, and usually it ends up in a 5th -> 1st cadence, which would be F major, G major and C major here. But you can also, instead of the expected 1th, go to the 6th, which is a A minor chord here. This is known as a minor fall, I assume, which is exactly the lyrics at that moment. But then, the lyrics mention a "major lift", which is also what happens when it goes through the same progression, 4th, 5th, but then the 3rd (E major) with one note lifted (the G#) making the chord major, and resolving to A in a true cadence, because E major -> A minor is a 5th -> 1st for the A minor scale.
To summarize, the chord progression is faking a IV V I cadence, but falling to VI (A minor), then faking a IV V I cadence again, but lifting to a "majorified" III (E major) which become V I cadence in the A scale, allowing us to resolve on A instead of "falling" on A like the first time. So we went from the C major scale to the A minor scale, which are also the first two chords of the song, repeated many times.
So, this whole "the 4th, the 5th, the minor fall and the major lift, the baffled king composing hallelujah" is nicely describing the chord progression underneath, while being poetic, and I just love it. So I had to share, sorry if it was obvious to you already. Cheers.