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]\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
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math])	~2.40066 bits
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.

The name consists of Greek ennea- ("nine") + limma, coined by Paul Erlich and Gene Ward Smith in 2001^[1].