Math is fun???

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)
{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
 
...and what's musical about analyzing our stroke? What's musical about comparing the sonic differences between a 6-ply maple shell with an 8-ply bubinga shell? I think this is a great post, personally! I'm gonna check out the site...

Thanks - But I knew that if I didn't preface it, the thread might easily take a turn away from the topic. I'm glad you like the post. I am doing some research for a new book that I'm writing and needed to get into some permutations.

Jeff
 
This is awesome. You could come up with all kind of practice patterns with this. I just made a 4 limb combo with R,L,o=open hats, and b=bass drum. Pretty cool.
 
ooooh! Or you could designate a letter as right double-stroke, and another letter for left double stroke.
 
That would make a good warm up routine. Thanks for taking the time
 
Back
Top