Can someone please define, in simplest linguistic form, what the #1 chord is with no relativity to a key. #1 of what?
I'll have a go. I think we're probably all, or at least mostly, agreed that Mike's comment was confusing".
BTW, I pretty sure you know the following and have just been confused by Mike's wording.
The use of # to mean 'number' not 'sharp' probably also didn't help.
The Dominant 7 chord is the cornerstone of this.
In any major scale there is just one dominant 7 (V7) chord, it's root is on the fifth note of the scale and it wants strongly to resolve to the root of that scale. If we're in the key of C major, the dominant 7 will be the G7 and the root of the scale will be the CMaj. That V7->I move is very common indeed, precisely because it's such a strong resolution.
One of the consequences of that is that the V7 is also usually often a clue that we're about to resolve and because it's usually V7->I we already know where it's (probably) going.
Mike picked out BassThumper's C7 entry and said that the '#1' (meaning the root of the scale) was F, which is correct for a C7 progression, but BassThumper's chart was showing the
notes in the chord not the
notes/chords in the scale/progression.
Putting that another way:
BassThumper's table showed C7 contains notes C, E, G, Bb
Mike Halloran says C7 resolves to F.
That's true enough, but is a completely unrelated and confusing statement.
Mike seems sometimes to latch onto something and then fail to see the intended context in which that something was written.