We're all talking about calendars, so let's revisit Yih's.
Yih has 528 days per year, a yih day being a bit longer than an Earth day. While yinrih do not sleep, and only go into torpor for 24 hours every 12 days instead of 8 hours every 1 day, the sun still dictates a daily rhythm, so days are still counted. However, because yinrih don't sleep, there may be no time zones.
The 12 day torpor cycle has inspired an analog to the week, which governs many activities as on Earth, such as religious observances and business availability. There is a three-day “weekend” set aside for torpor. This weekend is set by law, but may be different across different regions, and there may be occasional moves by the local government or citizens to change when the weekend occurs.
Adults have off from work and pups have off from school. Members of a household, whether a childermoot and its litter or a moot composed of adults, each go into torpor across this three day period.
The 528 day year is divided into four quarters of 132 days. The near year begins on the vernal equinox of the Southern Hemisphere, so the quarters line up with the seasons, and are often simply named after those seasons in temperate climates. Each quarter is in turn divided into eleven 12-day weeks.
Hearthside has a calendar that uses a local year as the only natural indicator of the passage of time. Being tidally locked, there are no days, and seasonality, such as it is, results from perihelion and aphelion rather than axial tilt.
Hearthside is far more relaxed about scheduling than the Allied Worlds, and there are no fixed periods when everyone is expected to go into torpor. “Torpor days” are usually negotiated individually between employer and employee or between parents and school. Business hours are also a free-for-all, with one's choice of grocery store or doctor coming as much from when they're open as anything else. Jokes about “Hearthsider time” abound, especially on Yih.
Once you get far enough out, local years become so long that they stop being a convenient measure of time. The Spacer Confederacy and beyond either use the Yih calendar thanks to the sheer economic gravitational pull of the Allied Worlds, or the Spacer Epoch, which works more like a computer timestamp, a single number counting up from a fixed time rather than a nested set of cycles.