Update to Optimal Integer Ratios for 12et

12tet Optimal Ratio Equivalents
at variable Tolerance Levels
===============================
(i.e. 2^((x*100)/1200) for x=0 to 12)
and where of course at 0 the ratio is 1/1,
and for 12 it is 2/1.

All output values "curtesy" of Mathematica v3.0.1's 'Rationalize[]' function
which I just "discovered" .

10^-1 Tolerance Level
----------
1 1
2 9/8
3 6/5
4 5/4
5 4/3
6 3/2
7 3/2
8 3/2
9 5/3
10 9/5
11 17/9

10^-2 Tolerance Level
----------
1 18/17
2 9/8
3 25/21
4 5/4
5 4/3
6 17/12
7 3/2
8 27/17
9 37/22
10 16/9
11 17/9

10^-3 Tolerance Level
----------
1 18/17
2 55/49
3 44/37
4 34/27
5 295/221
6 41/29
7 442/295
8 27/17
9 37/22
10 57/32
11 185/98

10^-4 Tolerance Level
----------
1 89/84
2 55/49
3 44/37
4 63/50
5 295/221
6 99/70
7 442/295
8 100/63
9 37/22
10 98/55
11 185/98

10^-5 Tolerance Level
---------
1 196/185
2 1769/1576
3 1785/1501
4 349/277
5 295/221
6 577/408
7 442/295
8 1008/635
9 3002/1785
10 1527/857
11 185/98

10^-6 Tolerance Level
---------
1 1657/1564
2 1769/1576
3 1785/1501
4 635/504
5 3544/2655
6 1393/985
7 2655/1772
8 1008/635
9 3002/1785
10 1527/857
11 2943/1559

-------------
Benjamin Tubb
brtubb@cybertron.com
http://home.cybertron.com/~brtubb