Xhilr

(Very incomplete introduction)

Xhilr is a planet with two moons.

The smaller, nether moon orbits their world in just under seven and one eighth of their days, giving about forty-nine and a half fast-lunar weeks a year.

The larger, hinter moon orbits in about twenty-eight and seven eighths days, giving about twelve and one fifth slow-lunar months each year.

The exact fractional number of days in a year is very close to 

352 485/686 (about 352.706997_ten)

yielding a complicated series of skip and leap years in a seven year cycle, a 98 year cycle, and a 343 year cycle. But on Xhilr, the most commonly used numeric base is hexadecimal. So that's actually

160 1E5/2AE_sixteen (about 160.B4FDC2_sixteen)

The most common clock has sixteen (long) hours in a day.

In most countries, decimal is only for children to use their fingers to count, or for mathematicians to amuse themselves with. Non-repeating fractions are a curiosity

The most common clock uses hexadecimal time -- hour 0:00 (or 10:00_sixteen) is midnight, and 8:00 is noon. The short minute before midnight is F:FF_sixteen.

There is 

There are C_sixteen months in a year with the following number of days, each: