1053/1024

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.

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 can be considered a type of quarter tone. It is 4096/4095 smaller than 36/35, and 352/351 smaller than 33/32.

See Also

• Gallery of just intervals