The 5 Note Pattern:

 

1 2 3 4 5 4 3 2 1 2 3 4 5 4 3 2 1 2 3 4 5 6 7 8 9 8 7 6 5 4 3 2 1

 

 

The Interval Pattern:

 

1 2 1 3 1 4 1 5 1 6 1 7 1 8 1(long)    8 7 8 6 8 5 8 4 8 3 8 2 9 8 1(long)

 

 

The 3rds Pattern

 

1 3 2 4 3 5 4 6 5 7 6 8 7 9 8(long)   8 6 7 5 6 4 5 3 4 2 3 1 2 7(low) 1(long)