Ennealimma
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| Factorization | 2 × 3-27 × 518 |
| Monzo | [1 -27 18⟩ |
| Size in cents | 0.8618262¢ |
| Name | ennealimma |
| 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.
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[1].