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updated Sumerian 12edo page

🔗monz <monz@attglobal.net>

7/6/2003 7:46:52 AM

i'm guessing that back when i posted my webpages
speculating how the Sumerians might have been
able to approximate 12edo over 5000 years ago,
most people's eyes probably glazed over
uncomprehendingly, thanks to all the base-60 math.

well, i've just gone back in and added a bunch of
nifty graphs that show vividly what i'm explaining,
and i've also included the modern-style fractions
for the actual values which measure the string-lengths.

before, i only had the "theoretically correct" fractions,
but this is not exactly what you get when you round
the results of the calculations to 2 sexagesimal places.
now the diagrams include that.

"Simplified sexagesimal approximation to 12edo"
http://sonic-arts.org/monzo/sumerian/simplified-sumeriantuning.htm

also, since i have the fractions now, i've made
a Scala file for each version of the tuning:

!----------- Scala file -----------
! monzo_sumerian_12edo_simp.scl
!
Monzo - simplified 2-place sexagesimal 12edo approximation
12
!
300/283
120/107
120/101
150/119
4/3
75/53
3/2
100/63
180/107
180/101
100/53
2/1

!----------- Scala file -----------
! monzo_sumerian_12edo_2place.scl
!
Monzo - most accurate 2-place sexagesimal 12edo approximation
12
!
1800/1699
1200/1069
1200/1009
3600/2857
1200/899
1800/1273
400/267
100/63
3600/2141
3600/2021
100/53
2/1

-monz