Aegean fractions


Well, I had nothing better to do than go through the Minoan fraction system. I was horrified when I saw how complex it is, and for this reason researchers are far from deciphering it. There are many signs there, probably differentiating fractions by the nature of the measured products. From https://www.archaeology.wiki/blog/2020/09/09/the-mathematical-values-of-linear-a-fraction-signs/

The mathematical values of Linear A fraction signs

Because I was researching the meaning of the D signs on the Tartar tablets, m -I leaned on the signs in the form of the letter D marked with L in the specialized literature. They have several shapes, L (basic unit, 1), then L1, L2 … L6. The researchers assume, given that in Linear A 10 dances assume that = is 20, so that the sign D having attached the sign =: “D =” could represent L / 20. I, as a “more from the country” know two things: 1. I see a lot of evidence in the Aegean writings on a strong Sumerian influence, coming from the proto-wedge phase.2. Sign D, resembles the 2-dimensional representation of the imprint the proto-wedge sign “1” and also with the GAR sign which means daily ration, bread.The sign comes from the very shape of the beveled-rim bowl used as measure for food portion, daily ration.Scientists have not determined sign “L” what goods represent or L2..6 what fraction, the matter is more than extremely confusing. I advance a hypothesis: if the asertion that first Minoans were Sumerian migrants is true, then they brought with them the system of measuring. Cause is very complex (sumerians had different sistems for measuring cereals, processed/baked cereals, rations, fats, dead banimals, fishes, liquid products, etc.), it is very plausible because the system is complex, to have been adapted in Crete by the local population. From https://linearbknossosmycenae.com/tag/liquid/ See sign No.7 !

A KN 160a J j 11 wine PE wine DI
!!! See No. 7 !!!

Note that the linear A sign for volume, has the same capacity as sumerian veweled-rim bowl, 0,8 Liter ! From https://linearbknossosmycenae.com/category/lessons-linear-b/

Image result for linear B writing units  "month sign"

For the time being, I am hypothesizing that these “L” fractions are of Sumerian origin. I am presenting to you the capacity measurement system for cereal products. From http://mathscitech.org/articles/mathematics-uruk-susa

The Mathematics of Uruk and Susa (c.3500-3000 BCE) « Mathematical Science &  Technologies

M, sign N1 ,basic unit,24 Liter MONTHly food necesity m, minor unit, sign N39 4,8 liter (m=M:5, M divided by 5) Sign N24=m:2 =M:10==2,4 Liter Sign N26=m:3 =M:15= 1,6 Liter Sign N28=m:4 =M:20= 1,2 Liter Sign N29=m:5 =M:25= 0,96 Liter Sign N30a=m:6 =M:30= 0,8 Liter =Daily ration, NINDA=0,8 Liter Sign N30c=m:10= M:50=0,48 Liter

Sign N30a https://cdli.ucla.edu/tools/SignLists/protocuneiform/archsigns.html

Now, suppose people in Crete beeing in the World’s biggest commercial hub of that time, they simplified awkard signs N24…N30a (m;2…m:6) with D-shapes attaching them 2…6 short lines, so for m:2…m:6.

Eg.: sumerian proto-cuneiform sign N24 > was adapted?/become >“(reversed)D=”; so Linear A sign with D shape is representing kind of unit with 4,8 Liter capacity.

???? : https://cdli.ucla.edu/tools/SignLists/protocuneiform/archsigns.html 3(N57).GAR

4(N57).GAR|

5(N57).GAR

6(N57).GAR

1(N57)

2(N57)

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