Aluminium comma
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| 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 | |
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.