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
 

caddywumpus

Platinum Member
"that's not musical - it's too analytical"


...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...
 

jeffwj

Platinum Member
...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
 

peabarific

Junior Member
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.
 

peabarific

Junior Member
ooooh! Or you could designate a letter as right double-stroke, and another letter for left double stroke.
 
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