Symbiotic comma: Difference between revisions
The factorizations were not arbitrary. They were either simpler, superparticular or in the same subgroup |
Note an important consequence of the temp |
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== Temperaments == | == Temperaments == | ||
[[Tempering out]] this comma in the 11-limit results in the rank-4 '''symbiotic''' temperament (→ [[Rank-4 temperament #Symbiotic (19712/19683)]]), or in the 2.3.7.11 subgroup, the '''symbiotian''' temperament. In either case, | [[Tempering out]] this comma in the 11-limit results in the rank-4 '''symbiotic''' temperament (→ [[Rank-4 temperament #Symbiotic (19712/19683)]]), or in the 2.3.7.11 subgroup, the '''symbiotian''' temperament. In either case, 28/27 and 33/32 become apotome complements, and [[11/8]] is identified with an apotome over [[9/7]], [[11/6]] with an apotome over [[12/7]], and [[11/9]] with an apotome over [[8/7]]. Finally, 11/9 is identified with a [[256/243|limma]] below 9/7. | ||
=== Symbiotian === | === Symbiotian === | ||