Symbiotic comma

Interval information

Ratio	19712/19683
Factorization	28 × 3-9 × 7 × 11
Monzo	[8 -9 0 1 1⟩
Size in cents	2.548841¢
Names	symbiosma, symbiotic comma
FJS name	[math]\displaystyle{ \text{d2}^{7,11} }[/math]
Special properties	reduced
Tenney height (log2 nd)	28.5314
Weil height (log2 max(n, d))	28.5336
Wilson height (sopfr(nd))	61
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19712/19683, the symbiosma or symbiotic comma, is an 11-limit unnoticeable comma measuring about 2.55 cents. It gets its names from the fact that it is tempered out in such notable temperaments as vishnu, newt, kwai, supers, guiron and amity, and, from the fact that it also makes a good extension to a number of other temperaments such as canou. It is the difference between an apotome 2187/2048 and a stack of 33/32 and 28/27. Alternatively stated, it identifies 11/8 by an apotome over 9/7. Moreover, it is the sum of the quartisma and the nexuma. Tempering out this comma in a linearly independent fashion results in symbiotic temperament.

See also

• Unnoticeable comma