177147/163840

Interval information

Ratio	177147/163840
Factorization	2-15 × 311 × 5-1
Monzo	[-15 11 -1⟩
Size in cents	135.1913¢
Names	deeptone comma, tragicomma
Color name	Lg1, Lagu unison
FJS name	[math]\displaystyle{ \text{A1}_{5} }[/math]
Special properties	reduced
Tenney height (log2 nd)	34.7565
Weil height (log2 max(n, d))	34.8692
Wilson height (sopfr(nd))	68
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.25345 bits
Comma size	large
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177147/163840, the tragicomma or deeptone comma, is equal to an apotome plus a syntonic comma, putting it on the syntonic–chromatic equivalence continuum.

It is tempered out in edos like 7, 33, 40, and 47, creating a temperament where the 5ths are flat, but not as flat as mavila or whitewood and it takes 11 of them to reach the best approximation of the 5th harmonic.

Etymology

Deeptone was given by CompactStar in 2023. Tragicomical was allegedly given by groundfault no later than 2023.