7-limit

The 7-limit or the 2.3.5.7 subgroup is the subgroup of just intonation consisting of the intervals reachable by stacking 2/1, 3/2, 5/4, and 7/4.

Full 7-limit JI scales

Zil

Zil (from the temperament Godzilla which the zil series serves as a detempering of) is a series of 7-limit JI scales created from a generator sequence. The most discussed of the zil scales is zil[14] which is chiral depending on the chirality of the interleaved 5-limit zarlino copies:

RH zil[14]

21/20
9/8
189/160
6/5
21/16
27/20
7/5
3/2
63/40
8/5
7/4
9/5
63/32
2/1

LH zil[14]

21/20
9/8
7/6
6/5
21/16
4/3
7/5
3/2
63/40
8/5
7/4
9/5
63/32
2/1

Jar

Jar is a detempering of Pajara[10] with an analogous structure to zil[14]:

RH jar

35/32
7/6
5/4
4/3
35/24
3/2
5/3
7/4
15/8
2/1

LH jar

16/15
8/7
6/5
4/3
48/35
3/2
8/5
12/7
64/35
2/1