# All Two-Note Melody Combinations and their Common Keys using Integration
# 221224

# Two-Note Combinations in C Chromatic World

| Pair  | Integration (K²) 	| Common Keys     	| # |
|-------|-----------------------|-----------------------|---|
| C C#  | G#, A 	   	| C#, G# 	    	| 2 |
| C D   | G#, A# 	   	| A#, C, D#, F, G 	| 5 |
| C D#  | G#, B 	   	| A#, C#, D#, G#  	| 4 |
| C E   | G#, C   	   	| C, F, G 	    	| 3 |
| C F   | G#, C#       	   	| A#, C, C#, D#, F, G# 	| 6 |
| C F#  | G#, D  	   	| C#, G 		| 2 |
| C G   | G#, D#  	   	| A#, C, D#, F, G, G#  	| 6 |
| C G#  | G#, E 	   	| C#, D#, G# 	  	| 3 |
| C A   | G#, F 	   	| A#, C, F, G 	  	| 4 |
| C A#  | G#, F# 	   	| A#, C#, D#, F, G# 	| 5 |
| C B   | G#, G 	   	| C, G 		  	| 2 |

 
# Two-Note Combinations in C# Chromatic World

| Pair  | Integration (K²) 	| Common Keys 	   	| # |
|-------|-----------------------|-----------------------|---|
| C# D  | A, A# 	   	| A, D 	 	   	| 2 |
| C# D# | A, B 		   	| B, C#, E, F#, G# 	| 5 |
| C# E  | A, C 		   	| A, B, D, E 	   	| 4 |
| C# F  | A, C# 	   	| C#, F#, G# 	   	| 3 |
| C# F# | A, D 		   	| A, B, C#, D, E, F#    | 6 |
| C# G  | A, D# 	   	| D, G# 		| 2 |
| C# G# | A, E  	   	| A, B, C#, E, F#, G#   | 6 |
| C# A  | A, F 	   	   	| A, D, E 		| 3 |
| C# A# | A, F# 	   	| B, C#, F#, G# 	| 4 |
| C# B  | A, G 		  	| A, B, D, E, F# 	| 5 |
		
		| C# C  | A, G# 	  	| C#, G# 	     	| 2 | *


# Two-Note Combinations in D Chromatic World

| Pair 	| Integration (K²) 	| Common Keys 	   	| # |
|-------|-----------------------|-----------------------|---|
| D D#  | A#, B 	   	| A#, D# 		| 2 |
| D E   | A#, C 	   	| A, C, D, F, G 	| 5 |
| D F   | A#, C# 	   	| A#, C, D#, F 	   	| 4 |
| D F#  | A#, D 	   	| A, D, G 	  	| 3 |
| D G   | A#, D# 	   	| A#, C, D, D#, F, G    | 6 |
| D G#  | A#, E 	   	| A, D# 		| 2 |
| D A   | A#, F 	   	| A, A#, C, D, F, G     | 6 |
| D A#  | A#, F# 	   	| A#, D#, F 	 	| 3 |
| D B   | A#, G 	   	| A, C, D, G 	   	| 4 |

		| D C   | A#, G# 	   	| A#, C, D#, F, G 	| 5 |	
		| D C#  | A#, A 	   	| A, D 		   	| 2 |	


# Two-Note Combinations in D# Chromatic World

| Pair  | Integration (K²) 	| Common Keys 	  	| # |
|-------|-----------------------|-----------------------|---|
| D# E  | B, C 	 	   	| B, E 		   	| 2 |
| D# F  | B, C# 	   	| A#, C#, D#, F#, G#    | 5 |
| D# F# | B, D 		   	| B, C#, E, F# 	   	| 4 |
| D# G  | B, D#  	   	| A#, D#, G#    	| 3 |
| D# G# | B, E 		   	| B, C#, D#, E, F#, G#  | 6 |
| D# A  | B, F 		   	| A#, E 		| 2 |
| D# A# | B, F# 	   	| A#, B, C#, D#, F#, G# | 6 |
| D# B 	| B, G 		   	| B, E, F# 		| 3 |

		| D# C  | B, G# 	   	| A#, C#, D#, G# 	| 4 |
		| D# C# | B, A 		   	| B, C#, E, F#, G# 	| 5 |
		| D# D  | B, A# 	   	| A#, D#  		| 2 |


# Two-Note Combinations in E Chromatic World

| Pair  | Integration (K²) 	| Common Keys 	   	| # |
|-------|-----------------------|-----------------------|---|
| E F 	| C, C# 	  	| C, F 		   	| 2 |
| E F#  | C, D 		  	| A, B, D, E, G	   	| 5 |
| E G 	| C, D# 	  	| C, D, F, G 	   	| 4 |
| E G#  | C, E 		  	| A, B, E   	   	| 3 |
| E A 	| C, F 		  	| A, C, D, E, F, G 	| 6 |
| E A#  | C, F# 	  	| B, F 		   	| 2 |
| E B 	| C, G 	 	  	| A, B, C, D, E, G  	| 6 |

		| E C 	| C, G# 	  	| C, F, G 		| 3 |
		| E C#  | C, A 		   	| A, B, D, E 	   	| 4 |
		| E D 	| C, A# 	   	| A, C, D, F, G    	| 5 |
		| E D# 	| C, B 		  	| B, E 		   	| 2 |


# Two-Note Combinations in F Chromatic World

| Pair 	| Integration (K²) 	| Common Keys 		| # |
|-------|-----------------------|-----------------------|---|
| F F# 	| C#, D 	   	| C#, F# 		| 2 |
| F G 	| C#, D# 	   	| A#, C, D#, F, G# 	| 5 |
| F G# 	| C#, E 	   	| C#, D#, F#, G# 	| 4 |
| F A 	| C#, F 	   	| A#, C, F 		| 3 |
| F A# 	| C#, F# 	   	| A#, C#, D#, F, F#, G# | 6 |
| F B 	| C#, G 		| C, F# 		| 2 |

		| F C 	| C#, G# 		| A#, C, C#, D#, F, G# 	| 6 |
		| F C# 	| C#, A 		| C#, F#, G# 		| 3 |
		| F D 	| C#, A# 		| A#, C, D#, F 		| 4 |
		| F D# 	| C#, B 		| A#, C#, D#, F#, G# 	| 5 |
		| F E 	| C#, C 		| C, F 			| 2 |


# Two-Note Combinations in F# Chromatic World

| Pair 	| Integration (K²) 	| Common Keys 		| # |
|-------|-----------------------|-----------------------|---|
| F# G 	| D, D# 		| D, G 			| 2 |
| F# G# | D, E 			| A, B, C#, E, F# 	| 5 |
| F# A 	| D, F 			| A, D, E, G 		| 4 |
| F# A# | D, F# 		| B, C#, F# 		| 3 |
| F# B 	| D, G 			| A, B, D, E, F#, G 	| 6 |

		| F# C 	| D, G# 		| C#, G 		| 2 |
		| F# C# | D, A 			| A, B, C#, D, E, F# 	| 6 |
		| F# D 	| D, A# 		| A, D, G 		| 3 |
		| F# D# | D, B 			| B, C#, E, F# 		| 4 |
		| F# E 	| D, C 			| A, B, D, E, G 	| 5 |
		| F# F 	| D, C# 		| C#, F# 		| 2 |


# Two-Note Combinations in G Chromatic World

| Pair 	| Integration (K²) 	| Common Keys 		| # |
|-------|-----------------------|-----------------------|---|
| G G# 	| D#, E 		| D#, G# 		| 2 |
| G A 	| D#, F 		| A#, C, D, F, G 	| 5 |
| G A# 	| D#, F# 		| A#, D#, F, G#	 	| 4 |
| G B 	| D#, G 		| C, D, G 		| 3 |

		| G C 	| D#, G# 		| A#, C, D#, F, G, G# 	| 6 |
		| G C# 	| D#, A 		| D, G# 		| 2 |
		| G D 	| D#, A# 		| A#, C, D, D#, F, G 	| 6 |
		| G D# 	| D#, B 		| A#, D#, G# 		| 3 |
		| G E 	| D#, C 		| C, D, F, G 		| 4 |
		| G F 	| D#, C# 		| A#, C, D#, F, G#	| 5 |
		| G F# 	| D#, D 		| D, G 			| 2 |


# Two-Note Combinations in G# Chromatic World

| Pair 	| Integration (K²) 	| Common Keys 		| # |
|-------|-----------------------|-----------------------|---|
| G# A 	| E, F 			| A, E 			| 2 |
| G# A# | E, F# 		| B, C#, D#, F#, G# 	| 5 |
| G# B 	| E, G 			| A, B, E, F# 		| 4 |

		| G# C 	| E, G# 		| C#, D#, G# 		| 3 |
		| G# C# | E, A 			| A, B, C#, E, F#, G# 	| 6 |
		| G# D 	| E, A# 		| A, D# 		| 2 |
		| G# D# | E, B 			| B, C#, D#, E, F#, G# 	| 6 |
		| G# E 	| E, C 			| A, B, E 		| 3 |
		| G# F 	| E, C# 		| C#, D#, F#, G# 	| 4 |
		| G# F# | E, D 			| A, B, C#, E, F# 	| 5 |
		| G# G 	| E, D# 		| D#, G# 		| 2 |


# Two-Note Combinations in A Chromatic World

| Pair 	| Integration (K²) 	| Common Keys 		| # |
|-------|-----------------------|-----------------------|---|
| A A# 	| F, F# 		| A#, F 		| 2 |
| A B 	| F, G 			| A, C, D, E, G 	| 5 |

		| A C 	| F, G# 		| A#, C, F, G 		| 4 |
		| A C# 	| F, A 			| A, D, E 		| 3 |
		| A D 	| F, A# 		| A, A#, C, D, F, G 	| 6 |
		| A D# 	| F, B 			| A#, E 		| 2 |
		| A E 	| F, C 			| A, C, D, E, F, G 	| 6 |
		| A F 	| F, C# 		| A#, C, F 		| 3 |
		| A F# 	| F, D 			| A, D, E, G 		| 4 |
		| A G 	| F, D# 		| A#, C, D, F, G 	| 5 |
		| A G# 	| F, E 			| A, E 			| 2 |


# Two-Note Combinations in A# Chromatic World

| Pair 	| Integration (K²) 	| Common Keys 		| # |
|-------|-----------------------|-----------------------|---|
| A# B 	| F#, G 		| B, F# 		| 2 |

		| A# C 	| F#, G# 		| A#, C#, D#, F, G# 	| 5 |
		| A# C# | F#, A 		| B, C#, F#, G# 	| 4 |
		| A# D 	| F#, A# 		| A#, D#, F 		| 3 |
		| A# D# | F#, B 		| A#, B, C#, D#, F#, G# | 6 |
		| A# E 	| F#, C 		| B, F 			| 2 |
		| A# F 	| F#, C# 		| A#, C#, D#, F, F#, G# | 6 |
		| A# F# | F#, D 		| B, C#, F# 		| 3 |
		| A# G 	| F#, D# 		| A#, D#, F, G# 	| 4 |
		| A# G# | F#, E 		| B, C#, D#, F#, G# 	| 5 |
		| A# A 	| F#, F 		| A#, F 		| 2 |


# Two-Note Combinations in B Chromatic World

| Pair 	| Integration (K²) 	| Common Keys 		| # |
|-------|-----------------------|-----------------------|---|
		| B C 	| G, G# 	   	| C, G 		  	| 2 |
		| B C# 	| G, A 		  	| A, B, D, E, F# 	| 5 |
		| B D	| G, A# 	   	| A, C, D, G 	   	| 4 |
		| B D#	| G, B 		   	| B, E, F# 		| 3 |
		| B E	| G, C 	 	  	| A, B, C, D, E, G  	| 6 |
		| B F 	| G, C# 		| C, F# 		| 2 |
		| B F# 	| G, D 			| A, B, D, E, F#, G 	| 6 |
		| B G	| G, D# 		| C, D, G 		| 3 |
		| B G# 	| G, E 			| A, B, E, F# 		| 4 |
		| B A	| G, F 			| A, C, D, E, G 	| 5 |
		| B A# 	| G, F# 		| B, F# 		| 2 |


* indent = duplicate