Topic: JI and almost JI

1 scales

Thread (1 messages)

From: Gene Ward Smith (2004-07-25)
Subject: JI and almost JI

Below I give a detempered version of Ennealimmal[45]. It has 11 major
JI tetrads and 12 minor JI tetrads, which clearly could be used for
JI. It also has 7 more major and 6 more minor tetrads less than a cent
away from being pure, which means it would be damned hard or
impossible when actually performing with this scale on non-fixed
intonation instruments to draw any distinction, and hard also when
listening to it. The natural use of it would certainly involve using
intervals which differ from a 7-limit consonance by 2401/2400 or
4375/4374, of which there are a good number. It also has 17 JI
supermajor tetrads and 14 JI subminor tetrads, and as well 10 and 13
respectively of nearly JI tetrads, to which the same comment applies;
as it does also to the 3 otonal and 5 utonal complete ninth chords, to
which we can add 6 and 4 further nearly JI versions. I suppose if you
prefer otonalities you might want to invert this scale, but it would
also be damned hard to tell any difference if you did.

Obviously this scale counts as JI; what I'm less clear on is if you'd
need to be careful about using the nearly JI chords in it to count as JI. 

! enn45ji.scl
Detempered Ennealimma[45], Hahn reduced
45
!
49/48
36/35
21/20
200/189
27/25
54/49
10/9
245/216
8/7
7/6
25/21
6/5
49/40
216/175
63/50
9/7
35/27
250/189
4/3
49/36
25/18
7/5
10/7
36/25
72/49
3/2
189/125
54/35
14/9
100/63
175/108
49/30
5/3
42/25
12/7
7/4
432/245
9/5
49/27
50/27
189/100
40/21
35/18
49/25
2