jeffwj
Platinum Member
Here's a cool site that deals with permutations. It will list possible combinations based on the information that you enter. I thought I would find all the combinations that could be listed for 8 eighth notes between two hands. Sort of a pg. 5-7 Stick Control idea.
http://www.mathsisfun.com/combinatorics/combinations-permutations-calculator.html
I entered "2" in Types to choose from - for two limb coordination.
I entered "8" in number chosen - for 8 eighth notes
Order and repetition - Yes to both
Under the list them column, I changed the a, b to R, L
It gave me the following permutations:
Permutations with repetition (n=2, r=8)
You can figure out combinations for different time signatures, four limb combinations, etc...
Before anyone responds and says - "that's not musical - it's too analytical" - It is supposed to be food for thought and something to challenge your technique. It's how you use the technique - hopefully we will all use it it musically.
Jeff
http://www.mathsisfun.com/combinatorics/combinations-permutations-calculator.html
I entered "2" in Types to choose from - for two limb coordination.
I entered "8" in number chosen - for 8 eighth notes
Order and repetition - Yes to both
Under the list them column, I changed the a, b to R, L
It gave me the following permutations:
Permutations with repetition (n=2, r=8)
{R,R,R,R,R,R,R,R} {R,R,R,R,R,R,R, L} {R,R,R,R,R,R, L,R} {R,R,R,R,R,R, L, L} {R,R,R,R,R, L,R,R} {R,R,R,R,R, L,R, L} {R,R,R,R,R, L, L,R} {R,R,R,R,R, L, L, L} {R,R,R,R, L,R,R,R} {R,R,R,R, L,R,R, L} {R,R,R,R, L,R, L,R} {R,R,R,R, L,R, L, L} {R,R,R,R, L, L,R,R} {R,R,R,R, L, L,R, L} {R,R,R,R, L, L, L,R} {R,R,R,R, L, L, L, L} {R,R,R, L,R,R,R,R} {R,R,R, L,R,R,R, L} {R,R,R, L,R,R, L,R} {R,R,R, L,R,R, L, L} {R,R,R, L,R, L,R,R} {R,R,R, L,R, L,R, L} {R,R,R, L,R, L, L,R} {R,R,R, L,R, L, L, L} {R,R,R, L, L,R,R,R} {R,R,R, L, L,R,R, L} {R,R,R, L, L,R, L,R} {R,R,R, L, L,R, L, L} {R,R,R, L, L, L,R,R} {R,R,R, L, L, L,R, L} {R,R,R, L, L, L, L,R} {R,R,R, L, L, L, L, L} {R,R, L,R,R,R,R,R} {R,R, L,R,R,R,R, L} {R,R, L,R,R,R, L,R} {R,R, L,R,R,R, L, L} {R,R, L,R,R, L,R,R} {R,R, L,R,R, L,R, L} {R,R, L,R,R, L, L,R} {R,R, L,R,R, L, L, L} {R,R, L,R, L,R,R,R} {R,R, L,R, L,R,R, L} {R,R, L,R, L,R, L,R} {R,R, L,R, L,R, L, L} {R,R, L,R, L, L,R,R} {R,R, L,R, L, L,R, L} {R,R, L,R, L, L, L,R} {R,R, L,R, L, L, L, L} {R,R, L, L,R,R,R,R} {R,R, L, L,R,R,R, L} {R,R, L, L,R,R, L,R} {R,R, L, L,R,R, L, L} {R,R, L, L,R, L,R,R} {R,R, L, L,R, L,R, L} {R,R, L, L,R, L, L,R} {R,R, L, L,R, L, L, L} {R,R, L, L, L,R,R,R} {R,R, L, L, L,R,R, L} {R,R, L, L, L,R, L,R} {R,R, L, L, L,R, L, L} {R,R, L, L, L, L,R,R} {R,R, L, L, L, L,R, L} {R,R, L, L, L, L, L,R} {R,R, L, L, L, L, L, L} {R, L,R,R,R,R,R,R} {R, L,R,R,R,R,R, L} {R, L,R,R,R,R, L,R} {R, L,R,R,R,R, L, L} {R, L,R,R,R, L,R,R} {R, L,R,R,R, L,R, L} {R, L,R,R,R, L, L,R} {R, L,R,R,R, L, L, L} {R, L,R,R, L,R,R,R} {R, L,R,R, L,R,R, L} {R, L,R,R, L,R, L,R} {R, L,R,R, L,R, L, L} {R, L,R,R, L, L,R,R} {R, L,R,R, L, L,R, L} {R, L,R,R, L, L, L,R} {R, L,R,R, L, L, L, L} {R, L,R, L,R,R,R,R} {R, L,R, L,R,R,R, L} {R, L,R, L,R,R, L,R} {R, L,R, L,R,R, L, L} {R, L,R, L,R, L,R,R} {R, L,R, L,R, L,R, L} {R, L,R, L,R, L, L,R} {R, L,R, L,R, L, L, L} {R, L,R, L, L,R,R,R} {R, L,R, L, L,R,R, L} {R, L,R, L, L,R, L,R} {R, L,R, L, L,R, L, L} {R, L,R, L, L, L,R,R} {R, L,R, L, L, L,R, L} {R, L,R, L, L, L, L,R} {R, L,R, L, L, L, L, L} {R, L, L,R,R,R,R,R} {R, L, L,R,R,R,R, L} {R, L, L,R,R,R, L,R} {R, L, L,R,R,R, L, L} {R, L, L,R,R, L,R,R} {R, L, L,R,R, L,R, L} {R, L, L,R,R, L, L,R} {R, L, L,R,R, L, L, L} {R, L, L,R, L,R,R,R} {R, L, L,R, L,R,R, L} {R, L, L,R, L,R, L,R} {R, L, L,R, L,R, L, L} {R, L, L,R, L, L,R,R} {R, L, L,R, L, L,R, L} {R, L, L,R, L, L, L,R} {R, L, L,R, L, L, L, L} {R, L, L, L,R,R,R,R} {R, L, L, L,R,R,R, L} {R, L, L, L,R,R, L,R} {R, L, L, L,R,R, L, L} {R, L, L, L,R, L,R,R} {R, L, L, L,R, L,R, L} {R, L, L, L,R, L, L,R} {R, L, L, L,R, L, L, L} {R, L, L, L, L,R,R,R} {R, L, L, L, L,R,R, L} {R, L, L, L, L,R, L,R} {R, L, L, L, L,R, L, L} {R, L, L, L, L, L,R,R} {R, L, L, L, L, L,R, L} {R, L, L, L, L, L, L,R} {R, L, L, L, L, L, L, L} { L,R,R,R,R,R,R,R} { L,R,R,R,R,R,R, L} { L,R,R,R,R,R, L,R} { L,R,R,R,R,R, L, L} { L,R,R,R,R, L,R,R} { L,R,R,R,R, L,R, L} { L,R,R,R,R, L, L,R} { L,R,R,R,R, L, L, L} { L,R,R,R, L,R,R,R} { L,R,R,R, L,R,R, L} { L,R,R,R, L,R, L,R} { L,R,R,R, L,R, L, L} { L,R,R,R, L, L,R,R} { L,R,R,R, L, L,R, L} { L,R,R,R, L, L, L,R} { L,R,R,R, L, L, L, L} { L,R,R, L,R,R,R,R} { L,R,R, L,R,R,R, L} { L,R,R, L,R,R, L,R} { L,R,R, L,R,R, L, L} { L,R,R, L,R, L,R,R} { L,R,R, L,R, L,R, L} { L,R,R, L,R, L, L,R} { L,R,R, L,R, L, L, L} { L,R,R, L, L,R,R,R} { L,R,R, L, L,R,R, L} { L,R,R, L, L,R, L,R} { L,R,R, L, L,R, L, L} { L,R,R, L, L, L,R,R} { L,R,R, L, L, L,R, L} { L,R,R, L, L, L, L,R} { L,R,R, L, L, L, L, L} { L,R, L,R,R,R,R,R} { L,R, L,R,R,R,R, L} { L,R, L,R,R,R, L,R} { L,R, L,R,R,R, L, L} { L,R, L,R,R, L,R,R} { L,R, L,R,R, L,R, L} { L,R, L,R,R, L, L,R} { L,R, L,R,R, L, L, L} { L,R, L,R, L,R,R,R} { L,R, L,R, L,R,R, L} { L,R, L,R, L,R, L,R} { L,R, L,R, L,R, L, L} { L,R, L,R, L, L,R,R} { L,R, L,R, L, L,R, L} { L,R, L,R, L, L, L,R} { L,R, L,R, L, L, L, L} { L,R, L, L,R,R,R,R} { L,R, L, L,R,R,R, L} { L,R, L, L,R,R, L,R} { L,R, L, L,R,R, L, L} { L,R, L, L,R, L,R,R} { L,R, L, L,R, L,R, L} { L,R, L, L,R, L, L,R} { L,R, L, L,R, L, L, L} { L,R, L, L, L,R,R,R} { L,R, L, L, L,R,R, L} { L,R, L, L, L,R, L,R} { L,R, L, L, L,R, L, L} { L,R, L, L, L, L,R,R} { L,R, L, L, L, L,R, L} { L,R, L, L, L, L, L,R} { L,R, L, L, L, L, L, L} { L, L,R,R,R,R,R,R} { L, L,R,R,R,R,R, L} { L, L,R,R,R,R, L,R} { L, L,R,R,R,R, L, L} { L, L,R,R,R, L,R,R} { L, L,R,R,R, L,R, L} { L, L,R,R,R, L, L,R} { L, L,R,R,R, L, L, L} { L, L,R,R, L,R,R,R} { L, L,R,R, L,R,R, L} { L, L,R,R, L,R, L,R} { L, L,R,R, L,R, L, L} { L, L,R,R, L, L,R,R} { L, L,R,R, L, L,R, L} { L, L,R,R, L, L, L,R} { L, L,R,R, L, L, L, L} { L, L,R, L,R,R,R,R} { L, L,R, L,R,R,R, L} { L, L,R, L,R,R, L,R} { L, L,R, L,R,R, L, L} { L, L,R, L,R, L,R,R} { L, L,R, L,R, L,R, L} { L, L,R, L,R, L, L,R} { L, L,R, L,R, L, L, L} { L, L,R, L, L,R,R,R} { L, L,R, L, L,R,R, L} { L, L,R, L, L,R, L,R} { L, L,R, L, L,R, L, L} { L, L,R, L, L, L,R,R} { L, L,R, L, L, L,R, L} { L, L,R, L, L, L, L,R} { L, L,R, L, L, L, L, L} { L, L, L,R,R,R,R,R} { L, L, L,R,R,R,R, L} { L, L, L,R,R,R, L,R} { L, L, L,R,R,R, L, L} { L, L, L,R,R, L,R,R} { L, L, L,R,R, L,R, L} { L, L, L,R,R, L, L,R} { L, L, L,R,R, L, L, L} { L, L, L,R, L,R,R,R} { L, L, L,R, L,R,R, L} { L, L, L,R, L,R, L,R} { L, L, L,R, L,R, L, L} { L, L, L,R, L, L,R,R} { L, L, L,R, L, L,R, L} { L, L, L,R, L, L, L,R} { L, L, L,R, L, L, L, L} { L, L, L, L,R,R,R,R} { L, L, L, L,R,R,R, L} { L, L, L, L,R,R, L,R} { L, L, L, L,R,R, L, L} { L, L, L, L,R, L,R,R} { L, L, L, L,R, L,R, L} { L, L, L, L,R, L, L,R} { L, L, L, L,R, L, L, L} { L, L, L, L, L,R,R,R} { L, L, L, L, L,R,R, L} { L, L, L, L, L,R, L,R} { L, L, L, L, L,R, L, L} { L, L, L, L, L, L,R,R} { L, L, L, L, L, L,R, L} { L, L, L, L, L, L, L,R} { L, L, L, L, L, L, L, L}
You can figure out combinations for different time signatures, four limb combinations, etc...
Before anyone responds and says - "that's not musical - it's too analytical" - It is supposed to be food for thought and something to challenge your technique. It's how you use the technique - hopefully we will all use it it musically.
Jeff