And for "hands" with an arbitrary number of fingers:
NB. eg Homer Simpson plays a three-fingered scale twice
($(,|.@}:@}. )@:>:@i.@}.) 5 3
1 2 3
2 1 2
3 2 1
NB. If Paul the Octopus doesn't omit any limbshe can manage a whole
octave
<:($(,|.@}:@}. )@:>:@i.@}.) 4 8
0 1 2 3 4 5 6 7
6 5 4 3 2 1 0 1
2 3 4 5 6 7 6 5
4 3 2 1 0 1 2 3
It's interesting that this representation can show certain numbers of
complete scales for Homer or Paul (eg 12321 for Homer) but not for Mike:
|:($(,|.@}:@}. )@:>:@i.@}.) 20 3 NB. transpose to save space
1 2 3 2 1 2 3 2 1 2 3 2 1 2 3 2 1 2 3 2
2 1 2 3 2 1 2 3 2 1 2 3 2 1 2 3 2 1 2 3
3 2 1 2 3 2 1 2 3 2 1 2 3 2 1 2 3 2 1 2
So this can show 2 full scales, in 3 rows (columns here),or 5 in 7, or 8
in 11 etc....
|:($(,|.@}:@}. )@:>:@i.@}.) 20 4 NB. eg Mike can only "finish" on
2 or 4
1 3 3 1 3 3 1 3 3 1 3 3 1 3 3 1 3 3 1 3
2 2 4 2 2 4 2 2 4 2 2 4 2 2 4 2 2 4 2 2
3 1 3 3 1 3 3 1 3 3 1 3 3 1 3 3 1 3 3 1
4 2 2 4 2 2 4 2 2 4 2 2 4 2 2 4 2 2 4 2
Thanks, Kip!
Mike
On 27/06/2014 07:50, Kip Murray wrote:
That's what I was thinking of. Quick work! --Kip
On Friday, June 27, 2014, robert therriault <[email protected]> wrote:
Hi Kip,
I came up with
6 4 $ 1 2 3 4 3 2
1 2 3 4
3 2 1 2
3 4 3 2
1 2 3 4
3 2 1 2
3 4 3 2
Are you looking for a deeper pattern?
Cheers, bob
On Jun 26, 2014, at 10:18 PM, Kip Murray <[email protected]
<javascript:;>> wrote:
Hold up your right hand with its back toward you and number the
forefinger
through little finger 1 through 4. (I suppose the thumb has index 0.)
Now
try finger tapping this pattern:
1 2 3 4
3 2 1 2
3 4 3 2
1 2 3 4
3 2 1 2
3 4 3 2
Write a J expression to produce this pattern.
--Kip Murray
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