G major triad (G) = G, B, DG major first inversion chord (G6) G/B = B, D, G
Second, the reason I was even looking for a forum was for the following question. I was playing chords on the Dmaj scale and trying to apply 1st and 2nd inversions for the left hand while playing with melody notes. (slowly as a beginner) With the 1st inversion of the Gmaj chord, the question arose as to the name of that triad on a different scale. It appears to be a BminAug. (Huh if there is such)
Just a quick correction here:You are thinking of Roman Numerals were I6 = first inversion, I64 = 2nd inversionIn letter names, GBD is simply called G. In a first inversion B is in the bass, so it's called G/B. In a 2nd inversion D is in the bass so it's called G/D. I.e. the last letter tells you which note is in the bass.G6 refers to an entirely different chord.This is only about nomenclature.
Beginapiano - first welcome to PS.I think I got your logic which is wrong but would go something like this:B D# F# = B (major)B D# Fx = Baug, and then you're equating Fx = G; G/B = B D G = B D Fx, and you're seeing that Fx, and you're seeing that BDF# = Bm, while you're seeing the Fx = G thing. It's complicated thinking and you're off track.The first part of your confusion is because you are mixing together scales and chords. This isn't your fault because they are often introduced together. Typically we get a C major scale with the I ii iii IV V etc. chords (C, Dm, Em, F, G, Am, Bdim) which are the chords we derive from that scale when we only use the notes belonging to the scale. This helps for later harmony theory, but it mixes two things together.Triads, by themselves, always seen in root position:major = *(M3)*(m3)* i.e. C(M3)E(m3)G ... B(M3)D#(m3)F#, Eb(M3)G(m3)Bb. There is a P5 between the outer notes (CG, BF#, Eb Bb) and this is super important, because of the "tritone" which is a very unstable sound that plays a huge role in music, and that is a diminished 5th or augmented 4th (same tones).If you play a major triad in any inversion, it will still have the same quality of sound. Or put another way, if you play CEG and CEbG, or CEG and GBbD you will hear that minor has a different quality of sound. The "happy" of major and "sad" of minor remains regardless of inversion. That is its character or personality. These chords have nothing to do with any key. Forget about keys. You will find CEG as I in the key of C major, IV in the key of G major, and V in the key of F major. It is what it is, independently.----------The minor triad goes *(m3)*(M3)*, and there is a major 5th between the top and bottom notes in root position as well. It has its own character and personality like the major chord, as already described, regardless of inversion.----------The diminished triad goes *(m3)*(m3)* B(m3)D(m3)F -- and there is a diminished 5th from top to bottom note which is the tritone. The tritone is unstable and "wants to resolve". There is a period of history where the tritone was actually outlawed as unholy! It has its own character too. In regards to the dim5 - BF; if you put the F on the bottom FB then you get an aug4, which has exactly the same quality as an interval, and is the same number of semitones apart. No other interval does that.---------The augmented triad goes *(M3)*(M3)* and it does not exist in the notes of diatonic music. If you raise the 5th of a major triad you get an augmented triad. If you invert an augmented triad you keep the interval of an M3 between all the notes, which is one of its unique features.CEG => CEG# gives us an augmented triad. The C G# is an aug5. But if you respelled it as C Ab you would get an interval of a minor 6th. So let's play with this. Let's respell CEG# as CEAb. You would still have an augmented chord and you might decide to call it Abaug instead of CaugLet's play with your idea of "minor augmented" by lowering the middle note. C Eb G# ... a triad with both flat and sharp looks odd so let's respell it: C Eb Ab. This is nothing more than Ab/C. (1st inversion Ab triad).I think I'll go to your original question which caused you mischief about G/D in the key of D major separately.
So, if no chords are duplicated or known by more than one name, the piano is an even more incredibly interesting instrument than I first imagined....and maybe more demanding.
I think you have just made things really confusing for a beginner. No offense, but I took a whole wooping five minutes to read that