Graviton

Interval information

Ratio	129140163/128000000
Factorization	2-13 × 317 × 5-6
Monzo	[-13 17 -6⟩
Size in cents	15.352732¢
Name	graviton
Color name	LLg61, lala-tribigu 1sn, Lala-tribigu comma
FJS name	[math]\text{d1}_{5,5,5,5,5,5}[/math]
Special properties	reduced
Tenney height (log2 nd)	53.8759
Weil height (log2 max(n, d))	53.8887
Wilson height (sopfr(nd))	107
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~3.02865 bits
Comma size	small
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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.

See also

• Gravity family
• Small comma