2.7.11 subgroup: Difference between revisions
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Created page with "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). {{Cat|JI groups}}" |
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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]]). | 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. | |||
{{Cat|JI groups}} | {{Cat|JI groups}} | ||
Revision as of 03:05, 12 March 2026
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.
