monzo_sumerian_12edo_simp

From: monz (2003-07-06)
Subject: updated Sumerian 12edo page

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

From: monz (2003-07-06)
Subject: updated Sumerian 12edo page

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