Forge comma
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Ratio | 1640558367/1638400000 |
Factorization | 2^{-19} × 3^{14} × 5^{-5} × 7^{3} |
Monzo | [-19 14 -5 3⟩ |
Size in cents | 2.2791622¢ |
Name | forge comma |
FJS name | [math]\text{d2}^{7,7,7}_{5,5,5,5,5}[/math] |
Special properties | reduced |
Tenney height (log_{2} n⋅d) | 61.2212 |
Weil height (max(n, d)) | 1640558367 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~2.42098 bits |
Comma size | unnoticeable |
open this interval in xen-calc |
The forge comma is the 7-limit unnoticeable comma 1640558367/1638400000, which measures roughly 2.28 cents. It's notable as the interval separating the amity comma from the gamelisma. This comma was first found as the 7-limit comma linking 12edo, 34edo and 159edo. The various 11-limit families that temper out this comma are named after various metal objects made in a forge, hence the Forge as the name of this collection of temperaments.