The ⚀hexqua·lengthel, or ⚀itineral·length

Quantitylength
Formal name

⚀hexqua·lengthel
⚀hexqua·widthel
⚀hexqua·heightel

Formal abbr⚀h↑lgℓ
⚀h↑wdℓ
⚀h↑hgtℓ 
Colloquial name⚀itineral·length
⚀itineral·width
⚀itineral·height 
Colloquial abbr⚀itn·lg
itn·wd
itn·hgt
Derivation⚀velocitel × ⚀hexqua·timel 
Derivation abbr⚀veℓ × ⚀p↑tmℓ
TGM equiv

≈ 4 quadqua·Grafut

TGM equiv abbr≈ 4 q↑Gf
SI & USC equiv

= 3ᘔ,600z|80,352d foot
= 13,600z|26,784d yard
= 10,497.2497z|21,427.2d English ell
= 13.2750z|
15.218d mile
= 5.0ᘔ58z|5.072d league
= 24,491.2896d meter
= 24.4912896d kilometer
 

scaling01:04:+:06:1.0

The sixth dozenal power of the ⚀lengthel, the hexqua·lengthel (abbreviated ⚀h↑lgℓ) is one dozen ⚀dromal·lengths, or one gross ⚀stadial·lengths, or one galore ⚀habital·lengths, or one dozen galore ⚀ell·lengths, or one gross galore ⚀hand·lengths, or one bigalore ⚀morsel·lengths. This is the distance traversed in one day when moving at one ⚀velocitel. In SI units, this comes out to exacty 24.4912896d|~20.5ᘔ8Ɛz kilometers. In USC units, this is exactly 80,352d|3ᘔ,600z feet or 15.218d|13.0275z miles.

This turns out to be a fair estimate of the distance a Roman legion could move in a day. In modern times, it also is about the threshold distance beyond which a commute to work by automobile is considered to be severely detrimental to one's quality of life (including apparently being linked to a greatly increased risk for obesity).

The Latin word for “a day's march” was iter (genitive itineris). From this we get the modern English words “itinerant” (someone who travels about), and “itinerary” (a travel schedule). Since the ⚀hexqua·lengthel appears to be conceptually linked to the concept of “daily travel”, Primel proposes to colloquialize it as the ⚀itineral·length.

See Also