Editing Trical

{{Infobox
| days per week = 9 | week = tine
| weeks per month = 3 | month = moon
| months per season = 3 | season = sean | days per season = 81
| seasons per year = 3 | year = triad | months per year = 9
| years per cycle = 600
}}
'''Trical''' is a calendar based on powers of three.

{| class="wikitable"
|+Trical units of time
|-
! Unit
! Definition !! Conds !! Equivalence !! SI equivalence
|-
! {{dim|se}}cond (c)
| || 3<sup>0</sup> || || 86400/59049 = ca. 1.463 SI seconds
|-
! {{dim|mo}}ment
| 3 conds || 3<sup>1</sup> || ||
|-
! {{dim|ins}}tant
| 3 ments || 3<sup>2</sup> || 9 c ||
|-
! {{dim|mi}}nute (n)
| 3 tants || 3<sup>3</sup> || 27 c || ca. 40 s
|-
! dim{{dim|inute}}
| 3 nutes || 3<sup>4</sup> || 81 c || ca. 2 min
|-
! egg
| 3 dims || 3<sup>5</sup> || 9 n ||ca. 6 min
|-
! tertian
| 3 eggs || 3<sup>6</sup> || 27 n ||ca. 18 min
|-
! t{{dim|rical h}}our (t)
| 3 tertians || 3<sup>7</sup> || 81 n || 8/9 h
|-
! watch
| 3 tours || 3<sup>8</sup> || 243 n  || 160 min
|-
! shift
| 3 watches || 3<sup>9</sup> || 9 t || 8 h
|-
! day (d)
| 3 shifts || 3<sup>10</sup> || 27 t || 86400 s
|-
! trip
| 3 days || 3<sup>11</sup> || 81 t ||
|-
! {{dim|rou}}tine
| 3 trips || 3<sup>12</sup> || 9 d ||> 1 week
|-
! moon
| 3 tines || 3<sup>13</sup> || 27 d ||< 1 month
|-
! sea{{dim|so}}n
| 3 moons || 3<sup>14</sup> || 81 d ||< 1 quarter
|-
! triad
| 3 seans || 3<sup>15</sup> || 243 d ||
|-
! jear {{dim|(diyear)}}
| 3 triads || 3<sup>16</sup> || 729 d ||ca. 2 years
|}

==Leap rule==

; Jear (di-year)
: 3<sup>6</sup> = 729 = 2 × 364½ = 364 + 365 = 363 + 366
; [[Julian Calendar|Julian alignment]]
: 2 × 729 + 3 = 4 × 365.25 = 4 × 365 + 1
: After every two jears there is a leap trip (3 days).
; [[Gregorian Calendar|Gregorian alignment]]
: 100 × (2 × 729 + 3) - 3 = 400 × 365.2425 = 400 × 365 + 97
: After every two jears there is a leap trip (3 days), but every hundredth leap trip is omitted.
; [[Symmetry454 Calendar|Symmetrian alignment]]
: 73 × (2 × 729 + 3) + 363 = 293 × 365 + 71 = 293 × 364 + 52 × 7
: After every two jears there is a leap trip (3 days), and after 73 such sub-cycles there is an extra short year.

==Year calendar==
A jear may be subdivided into 2 years, a '''long year''' of 122 trips or 366 days followed by a '''short year''' of 121 trips or 363 days. Leap trips turn a short year into a long year.

Years may be subdivided into 12 months of either 10 trips ('''short month''') or 11 trips ('''long month'''), i.e. 30 or 33 days. The sixth and, in long years, the twelfth month would be long months.

An even '''lunar year''' usually consists of 13 moons (351 days), whereas an odd one always has 14 moons (378 days). Every 40th lunar year (or every 20th even one) also has 14 moons, but every 400th lunar year has an extraordinary 15 moons. Thus, there are 211 extra moons (i.e. 14th and 15th) in every 400-year cycle.
[[Category:3-day week]]
[[Category:9-day week]]
[[Category:Unusual calendars]]
[[Category:27-day month calendars]]
[[Category:Radical designs]]
[[Category:30-33-day month calendars]]
[[Category:Christoph Päper]]