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} nd) | 61.2212 |
Weil height (log_{2} max(n, d)) | 61.2231 |
Wilson height (sopfr (nd)) | 126 |
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 and is the sum of the landscape comma and the schisma. 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.