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 norm (log2 nd)	85.5887
Weil norm (log2 max(n, d))	85.5894
Wilson norm (sopfr(nd))	173
Comma size	unnoticeable
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The ennealimma, meaning nine limmas, with monzo [1 -27 18⟩, is an unnoticeable 5-limit comma measuring about 0.862 cents. It is the amount by which a stack of nine large limmas falls short of the octave. In terms of commas, it is also the difference between the enneadeca and the schisma.

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

• Septimal ennealimma