177147/163840

Revision as of 03:18, 8 February 2024 by BudjarnLambeth (talk | contribs) (BudjarnLambeth moved page Deeptone comma to 177147/163840 over redirect: Moved back to old name to be neutral about the name)

177147/163840, the deeptone comma, also known as the tragicomma, is equal to an apotome plus a syntonic comma, putting it on the syntonic-chromatic equivalence continuum.

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 norm (log2 nd) 34.7565
Weil norm (log2 max(n, d)) 34.8692
Wilson norm (sopfr(nd)) 68
Comma size large
Open this interval in xen-calc

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.

Deeptone was given by CompactStar in 2023. Tragicomical was allegedly given by groundfault no later than 2023.[1]

Notes