2.7.11 subgroup

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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).

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.