View source for 2.7.11 subgroup

The '''2.7.11 subgroup''' is the [[JI group]] consisting of the intervals reachable by stacking [[2/1]], [[7/4]], and [[11/8]], with the exclusion of [[3/2]] and [[5/4]] (adding which would result in the full [[11-limit]]).

== JI scales ==
=== LsLmLsL ===
<syntaxhighlight>
8/7
77/64
11/8
16/11
128/77
7/4
2/1
</syntaxhighlight>

=== Ternary detempering of 11edo ===
<syntaxhighlight>
539/512
8/7
77/64
64/49
11/8
16/11
49/32
128/77
7/4
1024/539
2/1
</syntaxhighlight>
=== Ternary detempering of 15edo ===
<syntaxhighlight>
539/512
49/44
8/7
77/64
14/11
64/49
11/8
16/11
49/32
11/7
128/77
7/4
88/49
1024/539
2/1
</syntaxhighlight>

== Temperaments ==
[[26edo]] is known for having both accurate 7/4 and 11/8.

[[Orgone]] (2.7.11[11 & 15]), which equates a stack of three 11/8 neutral fourths (octave reduced) and two 8/7's, is a particularly efficient temperament in the 2.7.11 group. [[Amaranthine]], which equates a stack of eight 8/7's with 32/11, is a more complex but still notably accurate 2.7.11 temperament, however it requires an accurate 7 to make sense in an edo.

{{Cat|JI groups}}