1053/1024

From Xenharmonic Wiki
Revision as of 05:07, 26 July 2020 by FloraC (talk | contribs) (Created page with "{{Infobox Interval | JI glyph = | Ratio = 1053/1024 | Monzo = -10 4 0 0 0 1 | Cents = 48.34767 | Name = tridecimal comma | Color name = L3o1, latho comma | FJS name = P1<sup>...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
Interval information
Ratio 1053/1024
Factorization 2-10 × 34 × 13
Monzo [-10 4 0 0 0 1
Size in cents 48.34767¢
Name tridecimal comma
Color name L3o1, latho comma
FJS name [math]\displaystyle{ \text{P1}^{13} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 20.0403
Weil norm (log2 max(n, d)) 20.0806
Wilson norm (sopfr(nd)) 45
Open this interval in xen-calc

1053/1024, the tridecimal comma, is a ratio of about 48.3 cents. It is significant in Functional Just System as the tridecimal formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to 64/63 and 33/32 for septimal and undecimal, respectively. For example, it is the interval between the Pythagorean major third 81/64 and the tridecimal neutral third 16/13.

See Also