What is the formula for this chord? F7 #9#5

[musallio]

Haven't had a chance to get on for a while.

Anyway, Musallio asked about an "xm #5"

Let's take a look.

Cm is   C Eb G.  If we were to raise the 5th (G) a half-step we get C Eb G#.   What is another name for a G#?  Ab.  C Eb Ab is an Ab major chord in first inversion.  Technically there is no Cm #5 since it is the same as an Ab major.
But, as I have thought about it, there are some contexts where a Cm #5 would make more sense than Ab.

In major, we've all heard the harmonic cliche -- C  C+  C6.   The analogous minor pattern would be -- Cm  Ab/C Cm6 (listen to the James Bond Theme).  Though the Ab/C is technically what we would call it, it is acting like the major version.  The melodic line is ascending chromatically -- G - G# - A -- over a static C bass,  which is clearer functionally than -- G - Ab - A.

That's one of the problems with the convention for naming chords.  They name discrete combinations of notes but do not always indicate the harmonic function when two or more chords are combined.  That has been a problem with our entire system of notation once music became more and more chromatic.

 And [as he goes off on a tangent] there are instances, particularly in some types of modulation from one key to another, where a note or chord enters as one note or chord and leaves as its enharmonic equivalent.  An example would be to start out as if we are doing our musical cliche -- C  C+  C6 ...  except  The C+ (and its G# melody) leaves as an Ab+ (with and Ab melody) followed by Dbm7 Gbx7 CbM7 (we have just modulated from C major to Cb major.   [End of tangent].

So, in the process of "picking nits", I would actually weigh in that a m #5 does exist, but would caution anyone from writing it down for others to see lest they think one is a bit "touched in the head"

Yet another rspindy insightful revelation

This whole stuff sounds wise.

[MemphisKeys]

Cadd9 C,D,E,G
E7(#9-#5) G#,C,D,G
CMaj7 Sec..Inversion G,B,C,E

As you will see all the Major7ths chords will b in second inversion
and I skip Db because I know yall should know that one...

Dadd9 D,E,F#A
F#7(#9-#5) Bb, D,E,A
DMaj7 A,C#,D,F#

Ebadd9 Eb,F,G,Bb
G7(#9-#5) B,Eb,F,Bb
EbMaj7 Bb,D,Eb,G

Eadd9 E,F#,Ab,B
Ab7(#9-#5) C,E,F#,B
EMaj7 B,D#,E,G#

Fadd9 F,G,A,C
A7(#9-#5) C#,F,G,C
FMaj7 C,E, F,A

F#add9 F#,Ab,Bb,C#
Bb7(#9-#5) D, F#,Ab,C#
F#Maj7 C#,F,F#,A#

Gadd9 G,A,B,D
B7(#9-#5) Eb,G,A,D
GMaj7 D,F#,G,B

Abadd9 Ab,Bb ,C,Eb
C7(#9-#5) E,G#,Bb,D#
AbMaj7 Eb,G#,Bb,D#

Aadd9 A,B,C#,E
C#7(#9-#5) F,A,B,E
AMaj7 E,G#,A,C#

Bbadd9 Bb,C,D,F
D7(#9-#5) F#,Bb,C,F
BbMaj7 F,A,Bb,D

Badd9 B,C#,Eb,F#
Eb7(#9-#5) G,B,Db,F
BMaj7 F#,A#,B,D#

hopefully these will help I use all 7th(#9-#5) chords in them to show you how they can b used...Hpe it blesses someone....