Aluminium comma
Jump to navigation
Jump to search
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]\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]\sqrt{nd}[/math])
~1.22449 bits
Comma size
unnoticeable
open this interval in xen-calc
| Interval information |
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
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.