Graviton
Ratio | 129140163/128000000 |
Factorization | 2^{-13} × 3^{17} × 5^{-6} |
Monzo | [-13 17 -6⟩ |
Size in cents | 15.352732¢ |
Name | graviton |
Color name | LLg^{6}1, lala-tribigu 1sn, Lala-tribigu comma |
FJS name | [math]\text{d1}_{5,5,5,5,5,5}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 53.8759 |
Weil height (log_{2} max(n, d)) | 53.8887 |
Wilson height (sopfr (nd)) | 107 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~3.02865 bits |
Comma size | small |
open this interval in xen-calc |
The graviton (monzo: [-13 17 -6⟩, ratio: 129140163/128000000) is a 5-limit comma of about 15.353¢. It belongs to the syntonic-chromatic equivalence continuum and is equal to the difference between a stack of six syntonic commas and an apotome ((81/80)^{6}/(2187/2048)), or in terms of classic chromatic semitone, between a stack of four syntonic commas and a classic chromatic semitone ((81/80)^{4}/(25/24)). It is also the schisma times the sensipent comma and the parakleisma times the semicomma. Tempering it out leads to the gravity family of temperaments. Patent vals which temper it out include those for 7, 58, 65, 72, 130, 137, 202 and 346.
Etymology
The comma was named by Mike Battaglia in 2011 in terms of the corresponding temperament, gravity, after its grave-fifth generator^{[1]}^{[2]}.