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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
open this interval in xen-calc

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.


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].

See also