Input Information:
Key: Not provided
Melody: C G, D# A#, F# C#, A E, C G, D# A#, F# C#, A E
Chord Progression: 4, 2, 7, 5, 3, 1, 6, 4

Common Keys Analysis:

Note Group 1:
C	G# A# C C# D# F G
G	D# F G G# A# C D
Common Keys: A# C D# F G G#

Note Group 2:
D#	B C# D# E F# G# A#
A#	F# G# A# B C# D# F
Common Keys: A# B C# D# F# G#

Note Group 3:
F#	D E F# G A B C#
C#	A B C# D E F# G#
Common Keys: A B C# D E F#

Note Group 4:
A	F G A A# C D E
E	C D E F G A B
Common Keys: A C D E F G

Note Group 5:
C	G# A# C C# D# F G
G	D# F G G# A# C D
Common Keys: A# C D# F G G#

Note Group 6:
D#	B C# D# E F# G# A#
A#	F# G# A# B C# D# F
Common Keys: A# B C# D# F# G#

Note Group 7:
F#	D E F# G A B C#
C#	A B C# D E F# G#
Common Keys: A B C# D E F#

Note Group 8:
A	F G A A# C D E
E	C D E F G A B
Common Keys: A C D E F G

Perfect Table:
Melody         Common Keys               Mode            Modal Chords              Interval 1,3,5                 Interval 2,4,6,7              
-------------------------------------------------------------------------------------------------------------------------------------------
C G            A#, C, D#, F, G, G#       Lydian          D#, F, G#, A#, C, C#      C(5:F, 3:G#, 1:C)              C(6:D#, 2:A#, 7:C#)           
                                                                               G(3:D#, 5:C)                  G(2:F, 7:G#, 6:A#, 4:C#)      

D# A#          A#, B, C#, D#, F#, G#     Dorian          C, C#, D#, F, G#, A#      D#(3:C, 1:D#, 5:G#)            D#(2:C#, 7:F, 4:A#)           
                                                                               A#(5:D#, 1:A#)                A#(7:C, 6:C#, 4:F, 2:G#)      

F# C#          A, B, C#, D, E, F#        Locrian         G#, A#, C, C#, D#, F      F#(5:C, 3:D#)                  F#(7:G#, 6:A#, 4:C#, 2:F)     
                                                                               C#(3:A#, 1:C#)                C#(4:G#, 2:C, 7:D#, 6:F)      

A E            A, C, D, E, F, G          Mixolydian      E, G, A, B, C, D          A(1:A, 5:D)                    A(4:E, 2:G, 7:B, 6:C)         
                                                                               E(1:E, 5:A, 3:C)              E(6:G, 4:B, 2:D)              

C G            A#, C, D#, F, G, G#       Phrygian        D, E, G, A, B, C          C(3:A, 1:C)                    C(7:D, 6:E, 4:G, 2:B)         
                                                                               G(3:E, 1:G, 5:C)              G(4:D, 7:A, 6:B)              

D# A#          A#, B, C#, D#, F#, G#     Ionian          A#, B, C#, D#, F#, G#     D#(3:B, 1:D#, 5:G#)            D#(4:A#, 2:C#, 6:F#)          
                                                                               A#(1:A#, 5:D#, 3:F#)          A#(7:B, 6:C#, 2:G#)           

F# C#          A, B, C#, D, E, F#        Aeolian         F#, G#, A#, B, C#, D#     F#(1:F#, 5:B, 3:D#)            F#(7:G#, 6:A#, 4:C#)          
                                                                               C#(5:F#, 3:A#, 1:C#)          C#(4:G#, 2:B, 7:D#)           

A E            A, C, D, E, F, G          Lydian          D, F, G, A, A#, C         A(5:D, 3:F, 1:A)               A(2:G, 7:A#, 6:C)             
                                                                               E(5:A, 3:C)                   E(2:D, 7:F, 6:G, 4:A#)