Aluminium comma
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Factorization | 2^{92} × 3^{-39} × 5^{-13} |
Monzo | [92 -39 -13⟩ |
Size in cents | 1.676686¢ |
Name | aluminium comma |
Color name | s^{7}g^{13}8, 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 |
Tenney height (log_{2} nd) | 183.999 |
Weil height (log_{2} 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 |
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.