The ⚀hexqua·timel, or day

Quantitytime
Formal name⚀hexqua·timel
Formal abbr⚀h↑tmℓ
Colloquial nameday
itineral·time
Colloquial abbrdy
itn·tm
Derivation
Derivation abbr
Deprecated name
TGM equiv= bina·pentqua·Tim
TGM equiv abbr= b•p↑Tm
SI & USC equiv= 20z|24d hours
= ᘔ00z|1440d minutes
= 42,000z|86,400d seconds
Precision spec= 794,243,384,928,000d caesium·periods
= 75,0Ɛ5,832,730,000z caesium·periods
= 7.50Ɛ583273z ununqua·caesium·periods
scaling01:01:+:06:1.0

The ⚀hexqua·timel (106z ⚀timels) is, of course, the mean solar day. Making the day a simple dozenal power of the ⚀timel provides certain benefits for applications, such as astronomy, that need to relate larger amounts of time, expressed in days, to smaller amounts of time expressed in, say, ⚀trices or ⚀vibes. As long as dozenal quantities and Primel units are used, all that is needed is to make the proper shift of radix points. There are no extraneous factors to multiply or divide by.

The precise specification of the Primel day is as exactly 86,400d|42,000z seconds, where the second is specified, according to the International System of Units (SI), as “the duration of 9,192,631,770d|1,946,716,076z periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium 133d|Ɛ1z atom”. So the ⚀day is exactly 794,243,384,928,000d|75,0Ɛ5,832,730,000z such periods. This was based historically on the length of the year 1900d|1124CE, as calculated based on astronomical data. Although the mean solar day is currently about 86,400.002 SI seconds, Primel uses the SI definition of the day to ease interconversion with SI.

See Also