Ennealimma

Interval information

Ratio	7629394531250/7625597484987
Factorization	2 × 3-27 × 518
Monzo	[1 -27 18⟩
Size in cents	0.8618262¢
Name	ennealimma
Color name	sy18-3, satritribiyo negative 3rd
FJS name	[math]\displaystyle{ \text{6d}{-3}^{5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties	reduced
Tenney height (log2 nd)	85.5887
Weil height (log2 max(n, d))	85.5894
Wilson height (sopfr(nd))	173
Comma size	unnoticeable
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The ennealimma, meaning nine limmas, with monzo [1 -27 18⟩, is a 5-limit unnoticeable comma measuring about 0.86 cents. It is the amount by which a stack of nine large limmas falls short of the octave.

Temperament

Tempering out this comma leads to the 5-limit version of the ennealimmal temperament, which remarkably splits the octave into nine equal parts.

Etymology

The name consists of Greek ennea- ("nine") + limma, coined by Paul Erlich and Gene Ward Smith in 2001.

See also

• Unnoticeable comma
• Septimal ennealimma