11-limit comma ratios

You might need a magnifying glass for this one:

/tuning/files/Erlich/elevenr.gif

Let me know if you want me to do this for monzos, or to rotate the
ratios to be printed at a different angle.

Aside from commas leading to controversially large errors and perhaps
a few extremely complex commas, there appear to be 164 "special" ones
(those with epimericity <.5) -- I hope Gene will check:

numerator denominator
28 27
33 32
36 35
45 44
49 48
50 49
55 54
56 55
64 63
77 75
80 77
81 77
81 80
99 98
100 99
121 120
125 121
126 121
128 121
126 125
128 125
132 125
135 128
176 175
200 189
225 224
243 242
245 242
245 243
250 243
256 243
256 245
288 275
343 330
352 343
360 343
363 350
392 375
385 384
405 392
441 440
512 495
525 512
540 539
567 550
605 588
625 616
648 625
686 675
729 704
864 847
875 864
891 875
896 891
968 945
1029 1000
1029 1024
1120 1089
1232 1215
1331 1296
1331 1323
1344 1331
1350 1331
1375 1344
1375 1372
1617 1600
1728 1715
1815 1792
1944 1925
2048 2025
2079 2048
2187 2156
2200 2187
2401 2376
2401 2400
2420 2401
2430 2401
2541 2500
2560 2541
2662 2625
2835 2816
3025 3024
3072 3025
3125 3072
3125 3087
3136 3125
3168 3125
3388 3375
3773 3750
4000 3969
4000 3993
4125 4096
4375 4356
4375 4374
5120 5103
5488 5445
5632 5625
6000 5929
6144 6125
6250 6237
6875 6804
6912 6875
8019 8000
9375 9317
9801 9800
10976 10935
12005 11979
14641 14580
14700 14641
15488 15435
15625 15552
16384 16335
16875 16807
16896 16807
19683 19600
19712 19683
24057 24010
32805 32768
35937 35840
41503 41472
42592 42525
42875 42768
43923 43750
43923 43904
46656 46585
59290 59049
65625 65536
102487 102400
117649 117612
131072 130977
137781 137500
151263 151250
160083 160000
161280 161051
166698 166375
172032 171875
180224 180075
200704 200475
234375 234256
250047 250000
420175 419904
496125 495616
703125 702464
759375 758912
820125 819896
1240029 1239040
1771561 1771470
1771875 1771561
1890625 1889568
2097152 2096325
2359296 2358125
2657205 2656192
3294225 3294172
5767168 5764801
14348907 14348180
21437500 21434787
35156250 35153041
47265625 47258883
67110351 67108864
78125000 78121827
100663296 100656875
199297406 199290375
781258401 781250000
4882812500 4882786447

--- In tuning@yahoogroups.com, "wallyesterpaulrus" <paul@s...> wrote:
> You might need a magnifying glass for this one:
>
> /tuning/files/Erlich/elevenr.gif
>
> Let me know if you want me to do this for monzos, or to rotate the
> ratios to be printed at a different angle.
>
> Aside from commas leading to controversially large errors and perhaps
> a few extremely complex commas, there appear to be 164 "special" ones
> (those with epimericity <.5) -- I hope Gene will check:

I have a list of 11-limit commas with epi < 0.6, sorted by badness. If
I take those with epi < 0.5, I get 200. If I take those which actually
have an 11 in the factorization, I get 134. If from the 200 I remove
the 26 larger than 28/27, I get 174. That leaves ten commas
unaccounted for. Can you send me your list as an ascii file, in the
form numerator/denominator, with entries separated by commas? It would
make things easier for me.