In root position a B7 chord in the key of E minor would be B,D#,F#,A and be made up of scale degrees ^5 ^#7 ^2 and ^4. So in 1st inversion the bass would be D#. If I was to add ^3 as a soprano note over this what chord options could I have? I know in root position ^3 is an extension of dominant but how does this fit in over D# in the bass? Are there other chord options with D# in the bass and G in the soprano? Is what I am hearing an inverted augmented chord (^#7 ^3 ^5)? Is this even a real chord? I quite like the sound of that resolving to a proper V65 chord because the ^3 resolves to ^2 which then resolves to ^1 in the tonic chord. So I kind of see why I like the voice leading but not sure what chord this could be.
It is an augmented chord. As you're probably aware, rather like diminished chords, which could have basically 4 names, augmented chords could have basically 3.
Dependant on key. So, in key Em, D♯+ or G+ aren't as appropriate as B+, but it may make a difference as to what follows it. Generally speaking an augmented chord precedes one a fourth higher. So B+ > Em sounds good. How it gets voiced is basically up to the writer/player, but a common move would be D♯>E, the oft-used one semitone shift. In this case, the only note needing to move.
thank you, so what you are saying is that inversions of augmented chords do not exist and one would say that B + in 1st inversion is infact D#+, is this correct?– armaniNov 24, 2022 at 11:43
1@armani no. Inversions do exist, which is why Tim is saying that in E minor you're unlikely to have a D sharp augmented chord (which comprises D sharp, F double sharp, and A double sharp) but rather a first inversion B augmented chord (which comprises D sharp, F double sharp, and B). It's also possible to have a G augmented chord in E minor, which comprises in second inversion D sharp, G, and B.– phoogNov 24, 2022 at 12:45
phoog, why wouldnt you have a 2nd inversion III+ chord? This would be the notes D# G and B– armaniNov 24, 2022 at 14:56
@armani you could, which is why the last sentence of my previous comment says "It's also possible to have a G augmented chord in E minor, which comprises in second inversion D sharp, G, and B." That isn't a D sharp augmented chord; it's a G augmented chord.– phoogNov 25, 2022 at 8:37
Isn't it intuitive - if you have a dominant chord built on the leading tone in a minor key with ^3 on top, you have a V13 chord in first inversion!
At this point, ditching the 5th of that inverted V13 chord so you have (drawing from your example in your question) D♯-B-A-G instead of the clash-producing D♯-F♯-B-A-G is a good idea.
An (inverted) augmented chord, D♯-B-G, is indeed in that V13 chord in first inversion, but hopefully, the 11th in that chord makes the augmented chord less noticeable.