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The first "mundane reality" in the derivation of Primel units is the mean solar day.  It can be argued that the day is by far the most important unit of time impacting human life, literally on a daily basis. However, it is too large a period to act as a base unit of time for a metrology supporting everyday physics. Instead, Primel takes a pure dozenal fraction of the day, namely the hexcia·day (10−6z day), and uses that as its coherent base unit of time, the ⚀timel, also known colloquially as the ⚀jiff ⚀vibe.

The idea of dividing the day in pure dozenal divisions has a long history in the Dozenal Society of America. Indeed, this was the first instinct of the founders since the very inception back in 1944d=1160z, and even earlier. In the article “The Do-Metric System”, in the June 1945d=1161z issue of The Duodecimal Bulletin, Vol 1, No 2 (available here), Ralph Beard documented the time system previously devised by George Terry and Rear-Admiral G. Elbrow:

Dozenal PowerDō·Metric Formal DerivationDō·Metric Formal DerivationDō·Metric
Colloquial Name
Customary Equivalents (dozenal and decimal)Primel Formal DerivationPrimel Formal NamePrimel
Colloquial Name

0

daybimō·vicday= 20z hours
= ᘔ00z minutes
= 42,000z seconds

= 24d hours
= 1,440d minutes
= 86,400d seconds

day⚀hexqua·timelday
-1edō·daygrōmō·vicduor= 2z hours
= ᘔ0z minutes
= 4,200z seconds
= 2d hours
= 120d minutes
= 7,200d seconds
uncia·day⚀pentqua·timel⚀dwell
-2egrō·daydōmō·victemin= 0.2z hours
= ᘔz minutes
= 420z seconds
= 0.16d hours
= 10
d minutes
= 600d seconds
bicia·day⚀quadqua·timel⚀breather
-3emō·daymō·vicminette= 0.ᘔz minute
= 42z seconds
= 0.83d minute
= 50d seconds
tricia·day⚀triqua·timel⚀trice
-4edōmō·daygrō·vicgrovic= 4.2z seconds= 4.16d secondsquadcia·day⚀biqua·timel⚀lull
-5egrōmō·daydō·vicdovic= 0.42z seconds= 0.3472d secondspentcia·day⚀unqua·timel⚀twinkling
-6ebimō·dayvicvic= 0.042z seconds= 0.02893518 secondshexcia·day⚀timel⚀jiff⚀vibe

Tom Pendlebury's Tim-Grafut-Maz (TGM) metrology also derives its coherent time unit from the mean solar day, but not a pure dozenal division of it.  Instead, it first takes a binary division, splitting the day into AM and PM semi·days, and then divides those dozenally, to use the semi·pentcia·day as its coherent timel, the Tim.  This does make the conventional hour (or semi·uncia·day) a dozenal power of the Tim, but unfortunately the day itself is not. A nice property of Primel is that there is no awkward transition from measurements of shorter time periods less than a day, to measurements of longer time periods in multiples of days; it is simply a matter of adjusting the dozenal radix point.  TGM loses this nice property by retaining this traditional binary division.

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