Chron

Chron is a duodecimal (base-12) system for measuring time intervals. Its fundamental unit, the chron, is directly equivalent to one Solarian human second. The advantage of a duodecimal time system lies in its greater divisibility by common factors, potentially simplifying calculations involving fractions of time. While the chron mirrors the second, it diverges when representing larger and smaller time units, adhering strictly to base-12 notation.

The current and formal definition in used by the Dozenal System of Units is more precise:

The chron [...] is defined by taking the fixed numerical value of the caesium frequency, Δν_Cs, the unperturbed ground-state hyperfine transition frequency of the caesium 133 atom, to be 1 946 716 076_z when expressed in the unit Hz, which is equal to c⁻¹.

Units of Chrons

Value	DSU symbol	Name	Colloquial Name	Solarian Humans Equivalencies
10-Ɛ c	lcc	levciachron
10-ᘔ c	dcc	decciachron
10-9 c	ecc	ennciachron
10-8 c	osc	octciachron
10-7 c	scc	septciachron
10-6 c	hcc	hexciachron
10-5 c	pcc	pentciachron
10-4 c	qcc	quadciachron
10-3 c	tcc	triciachron	Tics	0.578703d milliseconds
10-2 c	bcc	biciachron		6.94d milliseconds
10-1 c	ucc	unciachron		83.3d milliseconds
100 c	c	chron	Chrons	1d second
101 c	Uqc	unquachron		12d seconds
102 c	Bqc	biquachron	Beats	2d minutes 24d seconds
103 c	Tqc	triquachron	Pulses	28d minutes 48d seconds
104 c	Qqc	quadquachron		5d hours 45d minutes 36d seconds
105 c	Pqc	pentquachron	Cycles	2d days 21d hours 7d minutes 12d seconds
106 c	Hqc	hexquachron	Turns	34d days 13d hours 26d minutes 24d seconds
107 c	Sqc	septquachron	Revos	1d year 49d days 17d hours 16d minutes 48d seconds
108 s	Oqc	octquachron		13.63d years
109 s	Eqc	ennquachron	Arcs	163.62d years
10ᘔ s	Dqc	decquachron		1963.39d years
10Ɛ s	Lqc	levquachron		23 560.64d years
1010 s	uNqc	unnilquachron	Unnil	282 727.69d years
1011 s	uUqc	ununquachron		3.4 milliond years
1012 s	uBqc	unbiquachron		40.7 milliond years
1013 s	uTqc	untriquachron	Untri	488.56 milliond years
1014 s	uQqc	unquadquachron		5.86 billiond years
1015 s	uPqc	unpentquachron		70.36 billiond years
1016 s	uHqc	unhexquachron		844.22 billiond years
1017 s	uSqc	unseptquachron		10.12 trilliond years
1018 s	uOqc	unoctquachron
1019 s	uEqc	unennquachron		1.46 quadrilliond years
101ᘔ s	uDqc	undecquachron
101Ɛ s	uLqc	unlevquachron
1020 s	bNqc	binilquachron		2.52 quintilliond years
1026 s	bHqc	bihexquachron		4.36 sextilliond years
1030 s	tNqc	trinilquachron		7.53 septilliond years

Chron Format

Chron expresses time using a variable number of numerical fields separated by colons. These fields represent units of seconds with prefixes based on the Systematic Dozenal Nomenclature (SDN). For values less than one chron, a decimal point is inserted between the chrons and milliseconds fields.

...: Untriquachron:Unnilquachron:Ennquachron:Hexquachron:Triquachron:Chron.Triciachron:Hexciachron:Ennciachron :...

• Untriquachron (uTqc): Intervals of 10¹⁵ chrons (one one penta-mo chrons).
• Unnilquachron (uNqc): Intervals of 10¹² chrons (one quad-mo chrons).
• Ennquachron (Eqc): Intervals of 10⁹ chrons (one tri-mo chrons).
• Hexquachron (Hqc): Intervals of 10⁶ chrons (one bi-mo chrons).
• Triquachron (Tqc): Intervals of 10³ chrons (one mo chrons).
• Chrons (c): The base unit of time in the SDN.
• Triciachron (tcc): Intervals of 10⁻³ of a chron (one emo chron chron).
• Hexciachron (hcc): Intervals 10⁻⁶ of a chron (one one ebi-mo chron).
• Ennciachron (ecc): Intervals 10⁻⁹ of a chron (one etri-mo chron).
• (and so on)

Example

• ᘔ1:045:33Ɛ:109:73ᘔ.00Ɛ -
  • This translates to dek do one (ᘔ1) unnilquachrons, four do five (45) ennquachrons, three gro three do el (33Ɛ) hexquachrons, one gro nine (109) triquachrons, seven gro three do dek (73ᘔ) chrons, and el triciachrons.
  • In symbol shorthand - ᘔ1 uNqc, 45 Eqc, 33Ɛ Hqc, 109 Tqc ,73ᘔ c Ɛ tcc
  • When used to express a chronodate, colloquial names are preferred. In day to day use anything above revos is usually ignored except when discuss large time scales. This would be turn ᘔ1, arc 45, cycle 33Ɛ, spin 109, chron 73ᘔ, and tick Ɛ.

Chron Equivalents of Traditional Earth-Based Time Units

Below is a table of chron values to aid ancient Solarians in understanding what these values represent. The zero values added before units of chrons and after fractions of chrons are shown for clarity but are not a requirement.

Name	Colloquial Name	Symbol	Chron Length	Equivalent to
Triciachron	Tic	tcc	0.001	0.578703d milliseconds
Chron	Chron	c	01.000	1d second
Unquachron		Uqc	10	12d seconds
			50	1d minute
biquachron	Beat	Bqc	0:100	2d minutes 24d seconds
Triquachron	Pulse	Tqc	01:000	28d minutes 48d seconds
			2:100	1d hour
Quadquachron		Qqc	10:000	5d hours 45d minutes 36d seconds
			42:000	24d hours (1d day)
Pentquachron	Cycle	Pqc	100:000	2d days 21d hours 7d minutes 12d seconds
Hexquachron	Turn	Hqc	1:000:000	34d days 13d hours 26d minutes 24d seconds
			ᘔ:69ᘔ:600	365d days, 6d hours (1d year)
Septquachron	Revo	Sqc	010:000:000	1d year 49d days 17d hours 16d minutes 48d seconds
			740:ᘔ36:000	100d years
Ennquachron	Arc	Eqc	001:000:000:000	163.62d years
			6:148:6ᘔ0:000	1000d years
Unnilquachron	Unnil	uNqc	001:000:000:000:000	282 727.69d years
Untriquachron	Untri	uTqc	001:000:000:000:000:000	488.229 milliond years
			2:06b:48a:370:a80:000	1 billiond years
Unhexquachron		uHqc	001:000:000:000:000:000:000	844.22 billiond years
Unennquachron		uEqc	001:000:000:000:000:000:000:000	46.01 sextilliond years