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The Atomischisma Scale

🔗Gene Ward Smith <gwsmith@svpal.org>

1/15/2004 6:08:12 PM

This is the unique Fokker block you get by crossing a schisma with an
atom. I don't know if it is what Kirnberger got, because if it is, it
won't be in the Scala archive because the numers in the quotients are
too large to load (this provides and example of why monzos would
sometimes be useful.) I've presented it below as a Scala file, but it
isn't really. There is very little difference between this and 12-
equal, proving that 12-et is really a form of 5-limit just intonation.

! atomschis.scl
Atom Schisma Scale
12
!
156348578434374084375/147573952589676412928
134217728/119574225
1307544150375/1099511627776
18014398509481984/14297995284350625
10935/8192
1709671705179880612640625/1208925819614629174706176
16384/10935
14297995284350625/9007199254740992
2199023255552/1307544150375
119574225/67108864
295147905179352825856/156348578434374084375
2

🔗Carl Lumma <ekin@lumma.org>

1/15/2004 6:49:24 PM

>This is the unique Fokker block you get by crossing a schisma with an
>atom. I don't know if it is what Kirnberger got, because if it is, it
>won't be in the Scala archive because the numers in the quotients are
>too large to load (this provides and example of why monzos would
>sometimes be useful.) I've presented it below as a Scala file, but it
>isn't really. There is very little difference between this and 12-
>equal, proving that 12-et is really a form of 5-limit just intonation.
>
>! atomschis.scl
>Atom Schisma Scale
>12
>!
>156348578434374084375/147573952589676412928
>134217728/119574225
>1307544150375/1099511627776
>18014398509481984/14297995284350625
>10935/8192
>1709671705179880612640625/1208925819614629174706176
>16384/10935
>14297995284350625/9007199254740992
>2199023255552/1307544150375
>119574225/67108864
>295147905179352825856/156348578434374084375
>2

Rock!

-C.

🔗Paul Erlich <perlich@aya.yale.edu>

1/16/2004 3:54:07 PM

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> This is the unique Fokker block you get by crossing a schisma with
an
> atom. I don't know if it is what Kirnberger got,

If it's a chain of 11 schisma-flattened fifths, it is. Monzos would
help.