Integer Ratios for 12tet Semitones at Variable Error Tolerance Levels

For reference and interest to some who may not otherwise have the means to
conveniently have access to such data, the following is provided. Anyone
interested in any special tables of cents/ratios, feel free to contact me in
private email. I'm fortunately using Mathematica.

Integer Ratios for 12tet Semitones for Various Error Tolerances

Error Tolerance Levels
Cents 10^-2 10^-3 10^-4 10^-5
1
0 -
1

18 18 89 196
_100 -- -- -- ---
17 17 84 185

9 55 55 1769
_200 - -- -- ----
8 49 49 1576

25 44 44 1785
_300 -- -- -- ----
21 37 37 1501

5 34 63 349
_400 - -- -- ---
4 27 50 277

4 295 295 295
_500 - --- --- ---
3 221 221 221

17 41 99 577
_600 -- -- -- ---
12 29 70 408

3 442 442 442
_700 - --- --- ---
2 295 295 295

27 27 100 1008
_800 -- -- --- ----
17 17 63 635

37 37 37 3002
_900 -- -- -- ----
22 22 22 1785

16 57 98 1527
1000 -- -- -- ----
9 32 55 857

17 185 185 185
1100 -- --- --- ---
9 98 98 98

2
1200 -
1

For general info, the following 10-^5 error tolerance used for the cents range
0-1 in increments of 0.1 cent is shown for which the error level is just small
enough to distinguish each value to a different integer ratio.

Cents 10^-5

1
0 -
1

17313
0.1 -----
17312

8657
0.2 ----
8656

5771
0.3 ----
5770

4329
0.4 ----
4328

3463
0.5 ----
3462

2886
0.6 ----
2885

2474
0.7 ----
2473

2165
0.8 ----
2164

1924
0.9 ----
1923

1732
1. ----
1731

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

"Music creates order out of chaos; for rhythm imposes unanimity
upon the divergent, melody imposes continuity upon the disjoin-
ted, and harmony imposes compatibility upon the incongruous."
- Yehudi Menuhin, from "Theme and Variations"