More Tenney MOS stuff

I pushed things up to 2000 generator steps, and got the following
Tenney-MOS, where the patent vals are listed just as numbers. It
strongly gives the appearance that the pure-octave tuning converges
to a hypothetical tuning, which we might call the Tenney tuning. If
so, then adjusting each val by eg TOP would make that converge to a
tuning also (Tenney TOP?) This hypothetical but I think probable
tuning is weighted in favor of smaller primes. However, it is ony in
the case of pajara (where 3 and 5 are pulling in one direction, and 7
in another) that this gets at all extreme. Tenney tuning thinks
pajara in 34 is just great, and is willing to get even closer to
diaschismic.

Tenney vals to 1000 generator steps for some temperaments

5-limit

meantone 5 7 12 19 31

<<2 3 4||

<<143 226 332||
<<205 324 476||
<<379 599 880||
<<584 923 1356||
<<963 1522 2236||

hanson 4 15 19 34 53

<<3 6 8||

schismatic 12 53 118 171

<<2 3 6||
<<5 8 11||

dicot 3 7

<<89 141 204||
<<701 1111 1607||

7-limit

meantone 5 7 12 19 31

<<2 3 4 6||

<<291 460 676 817||
<<384 607 892 1078||

miracle 10 31 41 72

magic 19 41

<<4 5 9 8||
<<7 10 16 17||
<<10 15 23 26||
<<13 20 30 35||
<<16 25 37 44||

<<851 1350 1972 2389||

father 5

<<2 3 5 5||
<<3 5 7 9||

<<8 13 19 23||
<<45 73 107 129||
<<85 138 202 244||
<<149 242 354 428||

pajara 10 12 22

<<34 54 79 96||
<<836 1327 1944 2362||

orwell 9 31 84

<<5 7 12 13||

<<221 350 513 621||
<<327 518 759 919||
<<464 735 1077 1304||
<<517 819 1200 1453||
<<707 1120 1641 1987||
<<813 1288 1887 2285||

--- In tuning-math@yahoogroups.com, "Gene Ward Smith"
<genewardsmith@...> wrote:
>
> I pushed things up to 2000 generator steps,

1000