2025-09-14,
of days and factors

2016-08-21 – Nikon D3300
decorated façade, Mae Sai, Thailand

Zombie Nation – Kernkraft 400 ↗
David Whittaker – Star Dust from Lazy Jones ↗

Maïs, Octidi, 28 Fructidor, CCXXXIII
Maize, Eighth Day, 28 Fruit, 233

back on the distraction of calendar reform – one of the main driving forces is how to break up the year into more uniform chunks – ie. avoiding months can be 28, 29, 30, or 31 days long – and the simplest place to start is looking at the factors – 366, 365, and 362 leave us with large primes – 363 and 361 don’t really provide anything useful (how do you subdivide a month of 19 days?) – which leaves us 364 and 360 – 364 allows us to keep the 7 day week and a 13 week quarter – and it’s easy to see why 360 (as a number in general) was so popular throughout history with a whole selection of factors available including 10 day weeks (French Republic) or 5 day weeks (Soviet calendar)

366 = 2 × 3 × 61

less 1 day in a regular year

365 = 5 × 73

plus 1 day in a leap year

364 = 2 × 2 × 7 × 13

plus 1 day in a regular year, plus 2 days in a leap year

363 = 3 × 11 × 11

plus 2 days in a regular year, plus 3 days in a leap year

362 = 2 × 181

plus 3 days in a regular year, plus 4 days in a leap year

361 = 19 × 19

plus 4 days in a regular year, plus 5 days in a leap year

360 = 2 × 2 × 2 × 3 × 3 × 5

plus 5 days in a regular year, plus 6 days in a leap year

the day after
the day before
the month before
the season before

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