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Triple-Just Absolute Ratio and Cents Conversion

🔗"Benjamin Tubb" <brtubb@...>

5/7/1998 1:35:51 AM
Based on your info, this may further interest you. If you haven't already heard
of it, I'd recommend Charles Lucy's "Lucy Tuning" which I find especially
"rational" based on _Pi_ used in the writings of John Harrison. For more info,
link to http://www.ilhawaii.net/~lucy

Incremental Incremental Absolute Absolute
Pitch Ratios Cents* Cents* Ratios*
C 1/1 0 0 1/1
C# 25/24 70.672 70.672 25/14
D 16/15 111.731 182.404 10/9
D# 81/80 21.506 203.910 9/8
E 10/9 182.404 386.314 5/4
F 16/15 111.731 498.045 4/3
F# 25/24 70.672 568.717 25/18
G 9/8 203.910 772.627 25/16
G# 25/24 70.672 843.300 83/51
A 16/15 111.731 955.031 33/19
A# 16/15 111.731 1066.762 50/27
B 135/128 92.179 1158.941 41/21

*all results at 10^-3 error tolerance level.

-------------
Benjamin Tubb
AIM: brtubb
brtubb@cybertron.com
http://home.cybertron.com/~brtubb

"Music creates order out of chaos; for rhythm imposes unanimity
upon the divergent, melody imposes continuity upon the disjoin-
ted, and harmony imposes compatibility upon the incongruous."
- Yehudi Menuhin, from "Theme and Variations"