Pangolin comma

Interval information

Ratio	161051/160000
Factorization	2-8 × 5-4 × 115
Monzo	[-8 0 -4 0 5⟩
Size in cents	11.33486¢
Name	pangolin comma
FJS name	[math]\text{ddd1}^{11,11,11,11,11}_{5,5,5,5}[/math]
Special properties	reduced
Tenney height (log2 nd)	34.5849
Weil height (log2 max(n, d))	34.5943
Wilson height (sopfr(nd))	91
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~2.30459 bits
Comma size	small
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The pangolin comma (monzo: [-8 0 -4 0 5⟩, ratio: 161051/160000) is an 11-limit (also 2.5.11 subgroup) comma measuring about 11.3 cents. It is the difference between four intervals of 11/10 and 16/11.

Temperaments

This comma is principally notable for being tempered out in the 2.3.5.11 version of porcupine temperament, but if tempered out by itself in the 2.5.11 subgroup produces a structure of considerably more accuracy than porcupine, supported by, among other high-fidelity tuning systems, 140edo.

Etymology

The pangolin comma was named by Lériendil in 2025, on account of its relationship to porcupine.