back to list

Lumma's scale tempered

🔗Dave Keenan <d.keenan@xx.xxx.xxx>

4/16/1999 9:09:45 PM

Here's my best attempt to include a 6:8:11 in Lumma's scale

cents offset from 12-tET
C 0 0
Db 117.2049 17.2049
D 198.4364 -1.5636
D# 266.3719 -33.6281
E 383.5769 -16.4231
F 500.7818 0.7818
F# 582.0132 -17.9868
G 699.2182 -0.7818
Ab 816.4231 16.4231
A 884.3587 -15.6413
A# 965.5901 -34.4099
B 1082.7950 -17.2050

a---------e
/|\ /|\
/ | \ / | \
/ D#--------A# \
/,'/:\`.\ /,'/ `.\
f--/-:-\--c--/------g
/|\/ : \/| /
/ |/\ : /\|/
E---------B---------F#
\`. /,'/ \`.\:/,'/
\ db-/---\--ab /
\ | / \ | /
\|/ \|/
G---------D

The errors are
2:3 4:5 5:6 4:7 5:7 6:7 6:11 8:11
-2.74 -2.74 0 -3.24 -0.5 -0.5 -1.47 -1.27

This has the useful side-effect of bringing the D:F#:A and D:F:A back from
the brink, since D:A is now only 16c narrow instead of 21.5c. Just don't
play that bare fifth. The 6:8:11 is A#:D#:Ab.

I don't think this can be considered wafso-just any more. Merely quasi-just.

Regards,

-- Dave Keenan
http://dkeenan.com