undefined

Paul Hj. wrote:
>>
>> There are definitely 3 Z-related groups of size 12 in that file (I
>> just checked)--look for lines that start with "12". Maybe Excel
>> counted them as lines that started with "1"?
>>
> I checked the raw file up and down. (I unzipped it again). I cannot
> find one "12". Could you give me line numbers?

Happy to oblige--see the left-hand column:

% grep -n ^12 C12_24
30361:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12 (0,1,2,3,4,7,10,13,15,18,19,20)__24__12
30362:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12 (0,1,2,3,4,7,8,10,13,15,18,19)__24__12
30363:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12 (0,1,2,3,5,6,9,11,12,14,18,19)__24__12
30364:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12 (0,1,2,3,6,7,8,10,13,15,16,19)__24__12
30365:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12 (0,1,2,3,6,7,9,11,12,14,17,18)__24__12
30366:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12 (0,1,2,3,7,8,9,11,12,14,17,20)__24__12
30367:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12 (0,1,2,4,5,7,8,10,13,17,18,19)__24__12
30368:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12 (0,1,2,5,6,7,8,10,13,16,17,19)__24__12
30369:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12 (0,1,2,6,7,9,11,12,14,15,17,18)__24__12
30370:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12 (0,1,3,4,5,6,9,11,12,16,18,19)__24__12
30371:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12 (0,1,3,6,7,8,10,13,14,15,16,19)__24__12
30372:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12 (0,1,5,6,7,8,10,13,14,16,17,19)__24__12
34541:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12 (0,1,2,3,4,7,8,12,14,16,17,19)__24__12
34542:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12 (0,1,2,3,4,7,9,11,14,15,16,19)__24__12
34543:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12 (0,1,2,3,4,8,10,11,13,15,16,20)__24__12
34544:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12 (0,1,2,3,5,6,10,11,13,15,17,18)__24__12
34545:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12 (0,1,2,3,5,6,10,13,15,17,18,19)__24__12
34546:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12 (0,1,2,3,5,8,10,12,13,14,17,18)__24__12
34547:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12 (0,1,2,3,7,9,11,12,14,15,16,19)__24__12
34548:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12 (0,1,2,4,5,6,9,11,14,16,17,18)__24__12
34549:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12 (0,1,2,4,5,9,11,12,13,14,17,19)__24__12
34550:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12 (0,1,3,5,6,7,8,12,15,16,17,19)__24__12
34551:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12 (0,2,3,4,5,7,10,11,15,16,17,19)__24__12
34552:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12 (0,2,3,4,5,7,11,12,13,16,17,19)__24__12
36116:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12 (0,1,2,3,4,6,7,11,14,16,18,19)__24__12
36117:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12 (0,1,2,3,4,7,9,11,12,14,15,19)__24__12
36118:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12 (0,1,2,3,5,6,7,10,13,15,17,18)__24__12
36119:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12 (0,1,2,3,6,8,10,11,13,14,15,18)__24__12
36120:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12 (0,1,2,4,6,7,9,12,13,14,16,17)__24__12
36121:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12 (0,1,2,4,8,9,11,12,13,14,16,19)__24__12
36122:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12 (0,1,2,5,8,10,12,13,14,15,17,18)__24__12
36123:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12 (0,1,2,5,9,11,12,13,14,16,17,19)__24__12
36124:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12 (0,1,3,6,8,12,13,14,15,16,17,20)__24__12
36125:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12 (0,2,3,4,6,7,11,12,13,14,16,19)__24__12
36126:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12 (0,2,3,5,6,7,8,12,14,15,16,19)__24__12
36127:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12 (0,2,4,5,7,8,12,13,14,15,16,19)__24__12

--- In tuning-math@yahoogroups.com, jon wild <wild@f...> wrote:

That's just the damndest thing. I'll check this tomorrow at work.
However I can easily recalculate. If the 12s are getting read as 1s
then the answer becomes 25220.

>
> Paul Hj. wrote:
> >>
> >> There are definitely 3 Z-related groups of size 12 in that file
(I
> >> just checked)--look for lines that start with "12". Maybe Excel
> >> counted them as lines that started with "1"?
> >>
> > I checked the raw file up and down. (I unzipped it again). I
cannot
> > find one "12". Could you give me line numbers?
>
> Happy to oblige--see the left-hand column:
>
> % grep -n ^12 C12_24
> 30361:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
(0,1,2,3,4,7,10,13,15,18,19,20)__24__12
> 30362:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
(0,1,2,3,4,7,8,10,13,15,18,19)__24__12
> 30363:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
(0,1,2,3,5,6,9,11,12,14,18,19)__24__12
> 30364:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
(0,1,2,3,6,7,8,10,13,15,16,19)__24__12
> 30365:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
(0,1,2,3,6,7,9,11,12,14,17,18)__24__12
> 30366:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
(0,1,2,3,7,8,9,11,12,14,17,20)__24__12
> 30367:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
(0,1,2,4,5,7,8,10,13,17,18,19)__24__12
> 30368:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
(0,1,2,5,6,7,8,10,13,16,17,19)__24__12
> 30369:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
(0,1,2,6,7,9,11,12,14,15,17,18)__24__12
> 30370:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
(0,1,3,4,5,6,9,11,12,16,18,19)__24__12
> 30371:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
(0,1,3,6,7,8,10,13,14,15,16,19)__24__12
> 30372:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
(0,1,5,6,7,8,10,13,14,16,17,19)__24__12
> 34541:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
(0,1,2,3,4,7,8,12,14,16,17,19)__24__12
> 34542:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
(0,1,2,3,4,7,9,11,14,15,16,19)__24__12
> 34543:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
(0,1,2,3,4,8,10,11,13,15,16,20)__24__12
> 34544:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
(0,1,2,3,5,6,10,11,13,15,17,18)__24__12
> 34545:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
(0,1,2,3,5,6,10,13,15,17,18,19)__24__12
> 34546:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
(0,1,2,3,5,8,10,12,13,14,17,18)__24__12
> 34547:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
(0,1,2,3,7,9,11,12,14,15,16,19)__24__12
> 34548:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
(0,1,2,4,5,6,9,11,14,16,17,18)__24__12
> 34549:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
(0,1,2,4,5,9,11,12,13,14,17,19)__24__12
> 34550:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
(0,1,3,5,6,7,8,12,15,16,17,19)__24__12
> 34551:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
(0,2,3,4,5,7,10,11,15,16,17,19)__24__12
> 34552:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
(0,2,3,4,5,7,11,12,13,16,17,19)__24__12
> 36116:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
(0,1,2,3,4,6,7,11,14,16,18,19)__24__12
> 36117:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
(0,1,2,3,4,7,9,11,12,14,15,19)__24__12
> 36118:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
(0,1,2,3,5,6,7,10,13,15,17,18)__24__12
> 36119:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
(0,1,2,3,6,8,10,11,13,14,15,18)__24__12
> 36120:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
(0,1,2,4,6,7,9,12,13,14,16,17)__24__12
> 36121:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
(0,1,2,4,8,9,11,12,13,14,16,19)__24__12
> 36122:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
(0,1,2,5,8,10,12,13,14,15,17,18)__24__12
> 36123:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
(0,1,2,5,9,11,12,13,14,16,17,19)__24__12
> 36124:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
(0,1,3,6,8,12,13,14,15,16,17,20)__24__12
> 36125:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
(0,2,3,4,6,7,11,12,13,14,16,19)__24__12
> 36126:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
(0,2,3,5,6,7,8,12,14,15,16,19)__24__12
> 36127:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
(0,2,4,5,7,8,12,13,14,15,16,19)__24__12

--- In tuning-math@yahoogroups.com, "Paul G Hjelmstad"
<paul.hjelmstad@u...> wrote:
> --- In tuning-math@yahoogroups.com, jon wild <wild@f...> wrote:
>
> That's just the damndest thing. I'll check this tomorrow at work.
> However I can easily recalculate. If the 12s are getting read as 1s
> then the answer becomes 25220.

True enough I parsed them wrong.

1 984
2 41676
3 138
4 12512
6 876
8 600
12 36

984+41676/2+138/3+12512/4+876/6+600/8+36/12=25220 which is
2^2*5*13*97. Is there anything of group-theoretical significance
in this value?
>
> >
> > > > >>
> > >> There are definitely 3 Z-related groups of size 12 in that
file
> (I
> > >> just checked)--look for lines that start with "12". Maybe Excel
> > >> counted them as lines that started with "1"?
> > >>
> > > I checked the raw file up and down. (I unzipped it again). I
> cannot
> > > find one "12". Could you give me line numbers?
> >
> > Happy to oblige--see the left-hand column:
> >
> > % grep -n ^12 C12_24
> > 30361:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> (0,1,2,3,4,7,10,13,15,18,19,20)__24__12
> > 30362:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> (0,1,2,3,4,7,8,10,13,15,18,19)__24__12
> > 30363:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> (0,1,2,3,5,6,9,11,12,14,18,19)__24__12
> > 30364:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> (0,1,2,3,6,7,8,10,13,15,16,19)__24__12
> > 30365:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> (0,1,2,3,6,7,9,11,12,14,17,18)__24__12
> > 30366:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> (0,1,2,3,7,8,9,11,12,14,17,20)__24__12
> > 30367:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> (0,1,2,4,5,7,8,10,13,17,18,19)__24__12
> > 30368:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> (0,1,2,5,6,7,8,10,13,16,17,19)__24__12
> > 30369:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> (0,1,2,6,7,9,11,12,14,15,17,18)__24__12
> > 30370:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> (0,1,3,4,5,6,9,11,12,16,18,19)__24__12
> > 30371:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> (0,1,3,6,7,8,10,13,14,15,16,19)__24__12
> > 30372:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> (0,1,5,6,7,8,10,13,14,16,17,19)__24__12
> > 34541:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> (0,1,2,3,4,7,8,12,14,16,17,19)__24__12
> > 34542:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> (0,1,2,3,4,7,9,11,14,15,16,19)__24__12
> > 34543:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> (0,1,2,3,4,8,10,11,13,15,16,20)__24__12
> > 34544:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> (0,1,2,3,5,6,10,11,13,15,17,18)__24__12
> > 34545:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> (0,1,2,3,5,6,10,13,15,17,18,19)__24__12
> > 34546:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> (0,1,2,3,5,8,10,12,13,14,17,18)__24__12
> > 34547:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> (0,1,2,3,7,9,11,12,14,15,16,19)__24__12
> > 34548:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> (0,1,2,4,5,6,9,11,14,16,17,18)__24__12
> > 34549:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> (0,1,2,4,5,9,11,12,13,14,17,19)__24__12
> > 34550:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> (0,1,3,5,6,7,8,12,15,16,17,19)__24__12
> > 34551:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> (0,2,3,4,5,7,10,11,15,16,17,19)__24__12
> > 34552:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> (0,2,3,4,5,7,11,12,13,16,17,19)__24__12
> > 36116:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> (0,1,2,3,4,6,7,11,14,16,18,19)__24__12
> > 36117:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> (0,1,2,3,4,7,9,11,12,14,15,19)__24__12
> > 36118:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> (0,1,2,3,5,6,7,10,13,15,17,18)__24__12
> > 36119:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> (0,1,2,3,6,8,10,11,13,14,15,18)__24__12
> > 36120:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> (0,1,2,4,6,7,9,12,13,14,16,17)__24__12
> > 36121:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> (0,1,2,4,8,9,11,12,13,14,16,19)__24__12
> > 36122:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> (0,1,2,5,8,10,12,13,14,15,17,18)__24__12
> > 36123:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> (0,1,2,5,9,11,12,13,14,16,17,19)__24__12
> > 36124:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> (0,1,3,6,8,12,13,14,15,16,17,20)__24__12
> > 36125:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> (0,2,3,4,6,7,11,12,13,14,16,19)__24__12
> > 36126:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> (0,2,3,5,6,7,8,12,14,15,16,19)__24__12
> > 36127:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> (0,2,4,5,7,8,12,13,14,15,16,19)__24__12

--- In tuning-math@yahoogroups.com, "Paul G Hjelmstad"
<paul.hjelmstad@u...> wrote:
> --- In tuning-math@yahoogroups.com, "Paul G Hjelmstad"
> <paul.hjelmstad@u...> wrote:
> > --- In tuning-math@yahoogroups.com, jon wild <wild@f...> wrote:
> >
> > That's just the damndest thing. I'll check this tomorrow at work.
> > However I can easily recalculate. If the 12s are getting read as
1s
> > then the answer becomes 25220.
>
> True enough I parsed them wrong.
>
> 1 984
> 2 41676
> 3 138
> 4 12512
> 6 876
> 8 600
> 12 36
>
> 984+41676/2+138/3+12512/4+876/6+600/8+36/12=25220 which is
> 2^2*5*13*97. Is there anything of group-theoretical significance
> in this value?

*Notice also these are all the divisors of 24.* I am hoping
there is some mathematical significance to interval vector
counts. If not, I have been barking up the wrong tree!
> > > > > >>
> > > >> There are definitely 3 Z-related groups of size 12 in that
> file
> > (I
> > > >> just checked)--look for lines that start with "12". Maybe
Excel
> > > >> counted them as lines that started with "1"?
> > > >>
> > > > I checked the raw file up and down. (I unzipped it again). I
> > cannot
> > > > find one "12". Could you give me line numbers?
> > >
> > > Happy to oblige--see the left-hand column:
> > >
> > > % grep -n ^12 C12_24
> > > 30361:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> > (0,1,2,3,4,7,10,13,15,18,19,20)__24__12
> > > 30362:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> > (0,1,2,3,4,7,8,10,13,15,18,19)__24__12
> > > 30363:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> > (0,1,2,3,5,6,9,11,12,14,18,19)__24__12
> > > 30364:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> > (0,1,2,3,6,7,8,10,13,15,16,19)__24__12
> > > 30365:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> > (0,1,2,3,6,7,9,11,12,14,17,18)__24__12
> > > 30366:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> > (0,1,2,3,7,8,9,11,12,14,17,20)__24__12
> > > 30367:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> > (0,1,2,4,5,7,8,10,13,17,18,19)__24__12
> > > 30368:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> > (0,1,2,5,6,7,8,10,13,16,17,19)__24__12
> > > 30369:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> > (0,1,2,6,7,9,11,12,14,15,17,18)__24__12
> > > 30370:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> > (0,1,3,4,5,6,9,11,12,16,18,19)__24__12
> > > 30371:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> > (0,1,3,6,7,8,10,13,14,15,16,19)__24__12
> > > 30372:12 [6,5,6,4,6,7,6,6,6,5,6,3]__24__12
> > (0,1,5,6,7,8,10,13,14,16,17,19)__24__12
> > > 34541:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> > (0,1,2,3,4,7,8,12,14,16,17,19)__24__12
> > > 34542:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> > (0,1,2,3,4,7,9,11,14,15,16,19)__24__12
> > > 34543:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> > (0,1,2,3,4,8,10,11,13,15,16,20)__24__12
> > > 34544:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> > (0,1,2,3,5,6,10,11,13,15,17,18)__24__12
> > > 34545:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> > (0,1,2,3,5,6,10,13,15,17,18,19)__24__12
> > > 34546:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> > (0,1,2,3,5,8,10,12,13,14,17,18)__24__12
> > > 34547:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> > (0,1,2,3,7,9,11,12,14,15,16,19)__24__12
> > > 34548:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> > (0,1,2,4,5,6,9,11,14,16,17,18)__24__12
> > > 34549:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> > (0,1,2,4,5,9,11,12,13,14,17,19)__24__12
> > > 34550:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> > (0,1,3,5,6,7,8,12,15,16,17,19)__24__12
> > > 34551:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> > (0,2,3,4,5,7,10,11,15,16,17,19)__24__12
> > > 34552:12 [6,6,5,5,6,4,6,6,6,6,6,4]__24__12
> > (0,2,3,4,5,7,11,12,13,16,17,19)__24__12
> > > 36116:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> > (0,1,2,3,4,6,7,11,14,16,18,19)__24__12
> > > 36117:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> > (0,1,2,3,4,7,9,11,12,14,15,19)__24__12
> > > 36118:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> > (0,1,2,3,5,6,7,10,13,15,17,18)__24__12
> > > 36119:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> > (0,1,2,3,6,8,10,11,13,14,15,18)__24__12
> > > 36120:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> > (0,1,2,4,6,7,9,12,13,14,16,17)__24__12
> > > 36121:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> > (0,1,2,4,8,9,11,12,13,14,16,19)__24__12
> > > 36122:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> > (0,1,2,5,8,10,12,13,14,15,17,18)__24__12
> > > 36123:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> > (0,1,2,5,9,11,12,13,14,16,17,19)__24__12
> > > 36124:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> > (0,1,3,6,8,12,13,14,15,16,17,20)__24__12
> > > 36125:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> > (0,2,3,4,6,7,11,12,13,14,16,19)__24__12
> > > 36126:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> > (0,2,3,5,6,7,8,12,14,15,16,19)__24__12
> > > 36127:12 [6,6,6,5,6,4,6,6,5,6,6,4]__24__12
> > (0,2,4,5,7,8,12,13,14,15,16,19)__24__12

--- In tuning-math@yahoogroups.com, "Paul G Hjelmstad"
<paul.hjelmstad@u...> wrote:
> > 984+41676/2+138/3+12512/4+876/6+600/8+36/12=25220 which is
> > 2^2*5*13*97.

As I was saying, the z-relations are based on all the divisors of
24. (1,2,3,4,6,8,12). Now for the factorization of 25220.
One possible pattern is (3+1)(4+1)(12+1)(96+1). Anyone think I am
onto something here? I'll have to analyze more of Jon Wild's sets
before I really know anything...C(24,6) reduces to 2635 which is
5*17*31, kind of interesting

--- In tuning-math@yahoogroups.com, "Paul G Hjelmstad"
<paul.hjelmstad@u...> wrote:
> --- In tuning-math@yahoogroups.com, "Paul G Hjelmstad"
> <paul.hjelmstad@u...> wrote:
> > > 984+41676/2+138/3+12512/4+876/6+600/8+36/12=25220 which is
> > > 2^2*5*13*97.
>
> As I was saying, the z-relations are based on all the divisors of
> 24. (1,2,3,4,6,8,12). Now for the factorization of 25220.
> One possible pattern is (3+1)(4+1)(12+1)(96+1). Anyone think I am
> onto something here?

Not everyone knows what a Z-relation is, I'm afraid. I recall seeing
the term somewhere, but that's it.

I'll have to analyze more of Jon Wild's sets
> before I really know anything...C(24,6) reduces to 2635 which is
> 5*17*31, kind of interesting

This is also confusing to me. C(24,6) normally means the number of
combinations of 24 things taken 6 at a time.

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> --- In tuning-math@yahoogroups.com, "Paul G Hjelmstad"
> <paul.hjelmstad@u...> wrote:
> > --- In tuning-math@yahoogroups.com, "Paul G Hjelmstad"
> > <paul.hjelmstad@u...> wrote:
> > > > 984+41676/2+138/3+12512/4+876/6+600/8+36/12=25220 which is
> > > > 2^2*5*13*97.
> >
> > As I was saying, the z-relations are based on all the divisors of
> > 24. (1,2,3,4,6,8,12). Now for the factorization of 25220.
> > One possible pattern is (3+1)(4+1)(12+1)(96+1). Anyone think I am
> > onto something here?
>
> Not everyone knows what a Z-relation is, I'm afraid. I recall
seeing
> the term somewhere, but that's it.

It's when two or more sets of different Tn/TnI type have the same
interval vector. For example, (0,3,4,6,8,9) is z-related to
(0,3,4,6,7,10) because their interval vector is the same. (Also,
they are interlocking...all Z-related hexachords in 12-et are)

> I'll have to analyze more of Jon Wild's sets
> > before I really know anything...C(24,6) reduces to 2635 which is
> > 5*17*31, kind of interesting
>
> This is also confusing to me. C(24,6) normally means the number of
> combinations of 24 things taken 6 at a time.

Sorry, (I know you've mentioned this before) I use it as a way to
describe the fact that before reducing for transposition, inversion
(the mirror-image kind) and z-relations, you are actually dealing with
C(24,6), for example. What would a better name be? Perhaps I should
say "hexachords in 24-tet."

Paul