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Shastadari
Sezimal Units of Measurement
Shastadari is a sezimal (base six) system of coherent units of measurement;
It’s nomenclature derives terms from Sanskrit instead of Latin, Greek or English;
It’s units are determined applying dimensional analysis on:
𝙌 = 𝗧a·𝗟b·𝗠c·𝗜d·𝚹𝑒·𝗡f·𝗝g·𝜶h·𝝎i
- the standardized duration of an Earth day for the dimension of time 𝗧;
- Earth’s average gravity (𝗧−2·𝗟) for the dimension of length 𝗟;
- the density (𝗟−3·𝗠) and specific heat capacity (𝗧−2·𝗟2·𝚹−1) of fresh water at the set temperature of 2513 Xgtktwo nif fifsy one and a half shamagatikas, decimal 103.5, S.I. 293.15 K (110 °Snif six sezimal degrees, decimal 42 / 20 °C / 68 °F), for the dimension of mass 𝗠 and the dimension of absolute temperature 𝚹, respectively;
- the elementary charge (𝗧·𝗜) and the impedance of free space (𝗧−3·𝗟2·𝗠·𝗜−2), for the dimension of electric current 𝗜;
- the amount of molecules of water in 30 drvthirsy dravyas, decimal 18 (313 g, 11 oz) of water 𝘕jal (𝗡−1) for the dimension of amount of substance 𝗡;
- the luminous efficacy of radiation perceived by the human eye (𝗧3·𝗟−2·𝗠−1·𝗝) for the dimension of luminous intensity 𝗝;
- the ratio between an arc length of a unit circle to the unit circle’s full circumference for the planar angular factor 𝜶;
- the ratio between a surface area measurement of a unit sphere to the unit sphere’s total surface area for the spatial angular factor 𝝎;
The symbol for each unit has always only three letters, not counting any prefixes;
The names for the units use a simplified and sometimes shortened romanized form of the chosen Sanskrit word, originally written with Devanāgarī script;
This simplification and adaptation comprizes the following rules:
- no distinction of aspiration and retroflection with the consonants: त ‹t› थ ‹th› ट ‹ṭ› ठ ‹ṭh› become just ‹t›, द ‹d› ध ‹dh› ड ‹ḍ› ढ ‹ḍh› just ‹d› etc.;
- च ‹c› and छ ‹ch› are written ‹ch›, ज ‹j› and झ ‹jh› just ‹j›, ञ ‹ñ› is just ‹n›, श ‹ś› and ष ‹ṣ› are written ‹sh›;
- no distinction in length for vowels: अ ‹a› and आ ‹ā› are just ‹a› etc.;
- consonant clusters at the beginning of a syllable, other than one consonant + R or Y, are broken by either ignoring the second consonant, so क्षे ‹kṣe› is written just ‹ke›, त्व ‹tva› is ‹ta› etc., or by inserting the next vowel between the consonants: ग्नि ‹gni› is ‹gini›, for example;
- double consonants are written only once;
The three letter symbols for each unit come from the abbreviation of the simplified romanized unit’s name, according to the following rules:
- if the name has three or more syllables, the symbol is the first letter of each of the first three syllables: anuga = ang, mandala = mdl, agrima = agm, antaran = atr, upari = upr, parivartana = prv, darayata = dry etc.;
- the two consonant sounds that are written with two letters, ch and sh, when used in symbols, are written simply c and x respectively: varcha = vrc, sharama = xrm, shakiti = xkt;
- if the name has less than three syllables, and there’s at least one consonant cluster in one of the syllables that’s consonant + R, the symbol is the first letter of each syllable, plus the R: ketra = ktr, dravya = drv; if the consonant cluster is consonant + Y, it’s the Y that’s kept: kirya = kry;
- otherwise, the symbol is just the first three letters of the unit’s name, considering ch = c and sh = x: pada = pad, uta = uta, posha = pox, bala = bal, duli = dul etc.