Anarchic Philharmonic

Ocean 1—95 @ Lincoln Center Festival
Rose Theater, July 12-16, 2005

I Ching Chance Operations for distribution of the orchestra in the hall

Chance operations tossed by Andrew Culver, May 24 and May 31, 2005. See the results.

I Ching chance operations realized using ic online.

The 112 musicians must be distributed among the 30 boxes that surround the upper sides of the hall. There are 13 large instruments (1 timpani, 6 percussion, 6 double basses).

With no more than 1 large instrument per box, which of the 30 boxes has a large instrument?

ic 13 numbers between 1 and 30
non-repeating, sorted ascending

 2 4 5 6 7 8 10 16 17 21 22 23 27 
 

Boxes 8 - 24 are slightly larger; there are 7 of these; which of these is the timp in?

ic 1 number between 1 and 7
 with no bias, unsorted

 7 

The 7th of the 7 between 8 and 24 is 23. The timp is in box 23, which by definition means seats 2 and 3.

Where do the 6 percussionists go (any box except 23, meaning reults > 23 add 1)?

ic 6 numbers between 1 and 29
non-repeating, unsorted

20 7 3 22 9 11

meaning percussionists 1-6 go in boxes 20, 7, 3, 22, 9, 11, seats 2 and 3 in every case.

Where do the 21 celli and basses go?

There are 13 celli and 6 basses (19). There's not enough boxes for the basses and celli to have 2 seats each, but at least make sure they are not in the same boxes as the timpani and percussion. Numbering the available boxes:
1=1
2=2
3=4
4=5
5=6
6=8
7=10
8=12
9=13
10=14
11=15
12=16
13=17
14=18
15=19
16=21
17=24
18=25
19=26
20=27
21=28
22=29
23=30

ic 19 numbers between 1 and 23
non-repeating, unsorted

10 8 13 22 2 23 7 11 5 1 17 20 15 14 3 21 6 4 18

these map using the list above to boxes:

14 12 17 29 2 30 10 15 6 1 24 27 19 18 4 28 8 5 25

Which seat of those in the back row (2 or 3) do these players take?

ic 19 numbers between 2 and 3
with no bias, unsorted

2 3 3 2 3 2 2 3 3 3 3 2 3 3 3 3 2 2 2

I.E. the first cello goes in box 14 seat 2...and the last bass goes in box 21 seat 2.

We have placed 26 insruments using 33 seats; there are 86 instruments left to place in 87 seats; what's the distribution?

ic 86 numbers between 1 and 87
non-repeating, unsorted

35 1 83 86 33 84 15 17 22 16 39 74 71 76 56 2
43 46 37 70 7 19 55 66 25 82 21 10 65 60 26 79
75 73 34 85 52 51 62 5 47 63 9 68 24 59 6 72
29 4 38 40 48 3 12 45 78 87 18 8 20 53 23 36

14 42 58 57 27 67 50 61 28 44 32 41 11 30 69 49
13 80 31 77 64 81