Trical

Trical is a calendar based on powers of three.

Trical units of time, provisional names

Unit	Definition	Seconds	Equivalence	SI equivalence
second		30		86400/59049 = ca. 1.463 SI seconds
moment	3 seconds	31
instant	3 moments	32	9 s
minute	3 instants	33	27 s	ca. 40 s
dim	3 minutes	34	81 s	ca. 2 min
egg	3 dims	35	9 min	ca. 6 min
tertian	3 eggs	36	27 min	ca. 18 min
hour	3 tertians	37	81 min	8/9 h
watch	3 hours	38	243 min	160 min
shift	3 watches	39	9 h	8 h
day	3 shifts	310	27 h	86400 s
trip	3 days	311	81 h
week	3 trips	312	9 d	> 1 week
month	3 weeks	313	27 d	< 1 month
season	3 months	314	81 d	< 1 quarter
triad	3 seasons	315	243 d
jear	3 triads	316	729 d	ca. 2 years

Leap rule

$3^{6}=729=2\times 364.5=364+365$

${\frac {2\times 729+3}{4}}=365.25$ (Julian alignment)

${\frac {100\times (2\times 729+3)-3}{400}}=365.2425$ (Gregorian alignment)

After every two jears there is a leap trip (3 days), but every hundredth leap trip is omitted.