Aluminium comma

Interval information

Factorization	292 × 3-39 × 5-13
Monzo	[92 -39 -13⟩
Size in cents	1.676686¢
Name	aluminium comma
Color name	s7g138, sepsa-thegu octave
FJS name	[math]\displaystyle{ \text{13d8}_{5,5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	183.999
Weil height (log2 max(n, d))	184
Wilson height (sopfr(nd))	366
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.22449 bits
Comma size	unnoticeable
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Aluminium comma is a 5-limit interval which sets the difference between a stack of thirteen major limmas and the octave. It is named after the 13th chemical element. For EDOs N up to ~2000, it is tempered if and only if 13 divides N.

Temperaments

Notable edos tempering it out are 65edo, 494edo which is a zeta edo, and 1547edo. For higher-limit extensions, see Ragismic microtemperaments#Aluminium.