Old French (Ancien Regime) volume (capacity) units (liquid materials) converter

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To:
1 [pinte] = 0.000952146 \([\mathrm{m}^3]\)
\([\mathrm{m}^3]\)
The term Ancien Regime refers to the old measures from the system of Charlemagne i.e. these measures were used before French Revolution of 1789. On of the problems was that units varied from one region to another, subdivisions were irregular (suffered regional variation) which resulted in complications of business transactions. The French (Ancien Regime) units that were used to measure volume (capcity) occupied with liquid materials were: muid, feuillette, quartaut, velte, pot, pinte, chopine, demi-setier, posson, demi-posson, and roquille. The largest unit was muid where 1 [muid] is equal to 288 [pinte] or 0.274218048 [\(\mathrm{m}^3\)]. The smallest unit was roquille where 1 [roquille] is equl to 0.03125 [pinte] or 0.0000297545625 [\(\mathrm{m}^3\)]. The 1 [pinte] or 0.000952146[\(\mathrm{m}^3\)].
muid feuillette quartaut velte pot (quade, cade) pinte (pint) chopine (setier) demi-setier posson demi-posson roquille
1 2 4 36 144 288 576 1152 2304 4608 9216
$$\frac{1}{2}$$ 1 2 18 72 144 288 576 1152 2304 4608
$$\frac{1}{4}$$ $$\frac{1}{2}$$ 1 9 36 72 144 288 576 1152 2304
$$\frac{1}{36}$$ $$\frac{1}{18}$$ $$\frac{1}{9}$$ 1 4 8 16 32 64 128 256
$$\frac{1}{144}$$ $$\frac{1}{72}$$ $$\frac{1}{36}$$ $$\frac{1}{4}$$ 1 2 4 8 16 32 64
$$\frac{1}{288}$$ $$\frac{1}{144}$$ $$\frac{1}{72}$$ $$\frac{1}{8}$$ $$\frac{1}{2}$$ 1 2 4 8 16 32
$$\frac{1}{576}$$ $$\frac{1}{288}$$ $$\frac{1}{144}$$ $$\frac{1}{16}$$ $$\frac{1}{4}$$ $$\frac{1}{2}$$ 1 2 4 8 16
$$\frac{1}{1152}$$ $$\frac{1}{576}$$ $$\frac{1}{288}$$ $$\frac{1}{32}$$ $$\frac{1}{8}$$ $$\frac{1}{4}$$ $$\frac{1}{2}$$ 1 2 4 8
$$\frac{1}{2304}$$ $$\frac{1}{1152}$$ $$\frac{1}{576}$$ $$\frac{1}{64}$$ $$\frac{1}{16}$$ $$\frac{1}{8}$$ $$\frac{1}{4}$$ $$\frac{1}{2}$$ 1 2 4
$$\frac{1}{4608}$$ $$\frac{1}{2304}$$ $$\frac{1}{1152}$$ $$\frac{1}{128}$$ $$\frac{1}{32}$$ $$\frac{1}{16}$$ $$\frac{1}{8}$$ $$\frac{1}{4}$$ $$\frac{1}{2}$$ 1 2
$$\frac{1}{9216}$$ $$\frac{1}{4608}$$ $$\frac{1}{2304}$$ $$\frac{1}{256}$$ $$\frac{1}{64}$$ $$\frac{1}{32}$$ $$\frac{1}{16}$$ $$\frac{1}{8}$$ $$\frac{1}{4}$$ $$\frac{1}{2}$$ 1
All Ancien Regime volume (capacity) units converted to pinte and than to \(m^3\) in mathematical form are given below. \begin{eqnarray} 1 [\mathrm{muid}] &=& 288 [\mathrm{pinte}] = 288 \cdot 0.000952146 [\mathrm{m}^3] = 0.274218048 [\mathrm{m}^3]\\ 1 [\mathrm{feuillette}] &=& 144 [\mathrm{pinte}] = 144 \cdot 0.000952146 [\mathrm{m}^3] = 0.137109024[\mathrm{m}^3]\\ 1 [\mathrm{quartaut}] &=& 72 [\mathrm{pinte}] = 72 \cdot 0.000952146 [\mathrm{m}^3] = 0.068554512 [\mathrm{m}^3]\\ 1 [\mathrm{velte}] &=& 8 [\mathrm{pinte}] = 8 \cdot 0.000952146 [\mathrm{m}^3] = 0.007617168 [\mathrm{m}^3]\\ 1 [\mathrm{pot}] &=& 2 [\mathrm{pinte}] = 2 \cdot 0.000952146 [\mathrm{m}^3] = 0.001904292 [\mathrm{m}^3]\\ 1 [\mathrm{pinte}] &=& 1 [\mathrm{pinte}] = 1 \cdot 0.000952146 [\mathrm{m}^3] = 0.000952146 [\mathrm{m}^3]\\ 1 [\mathrm{chopine}] &=& 0.5 [\mathrm{pinte}] = 0.5 \cdot 0.000952146 [\mathrm{m}^3] = 0.000476073 [\mathrm{m}^3]\\ 1 [\mathrm{demi-setier}] &=& 0.25 [\mathrm{pinte}] = 0.25 \cdot 0.000952146 [\mathrm{m}^3] = 0.0002380365 [\mathrm{m}^3]\\ 1 [\mathrm{posson}] &=& 0.125 [\mathrm{pinte}] = 0.125 \cdot 0.000952146 [\mathrm{m}^3] = 0.00011901825 [\mathrm{m}^3]\\ 1 [\mathrm{demi-posson}] &=& 0.0625 [\mathrm{pinte}] = 0.0625 \cdot 0.000952146 [\mathrm{m}^3] = 0.000059509125 [\mathrm{m}^3]\\ 1 [\mathrm{roquille}] &=& 0.03125 [\mathrm{pinte}] = 0.03125 \cdot 0.000952146 [\mathrm{m}^3] = 0.0000297545625[\mathrm{m}^3] \end{eqnarray}

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