A formula for musical KEYS?

Has anyone used numbers to create a formula for musical KEYS? So that, in a song with lyrics and chords above the lyrics, I could change the chords in the whole song by changing the key.
Example:
C em
I see trees of green..........
Explanation..... I may want to change this to a higher Key for the band and a different singer and it would look like this
D f#m
I see trees of green..........

Not an insoluble problem, but...
The major issue is that a cell in a Numbers table may contain a directly entered value or may display a value calculated by a formula in the cell. It can't contain both, and there's the rub.
Your initial notation is likely going to be made directly into a table superimposed on the lyric sheet. Since the chord type stays the same (a seventh chord is still a seventh chord in the new key), the calculations can be made simpler by separating the note on which the chord is based (and named) from the type modifier.
After that, the letter identifiers need to be converted to their position (in terms of half-tone count) on the scale (in the key of the original notation). Once that’s known, the last step is to retrieve the new key’s note name for each of those values.
Here's a sample.
So far only the simple stuff: Major chords, and no flats.
Original key and original chords entered on the two tables at the left. Position of the tonic is retrieved from the Lookup table for use in further calculations.
Center section contains the Lookup table and an intermediate table where the letters identifying the chord roots are translated to a number representing that note's position with respect to the original key. These tables would be on a separate sheet.
The third section contains two tables. New Key is a copy of the Orig Key table. New chords shows the equivalent chord names for the new key signature.
Formulas:
Orig Key :: B2:   =OFFSET(Lookup :: $A$1,0,MATCH(A2,Lookup :: 2:2,0)-1,,)
New Key :: B2:   =OFFSET(Lookup :: $A$1,0,MATCH(A2,Lookup :: 2:2,0)-1,,)
(Both are the same.)
Chord Root Position :: A1: =IFERROR(MOD(12-Orig. Key :: $B+MATCH(Orig chords :: A1,Lookup :: $2:$2)-1,12)+1,"")
New Chords :: A1:            =IFERROR(OFFSET(Lookup :: $A$1,1,MOD(12+Chord root positions :: A1+New Key :: $B-2,12)+1),"")
Fill each of these into all cells of its table.
Enough for tonight. I may get a chance to look at it again tomorrow,
Regards,
Barry

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> {quote:title=MisterX wrote:}{quote}
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>
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