Tamil units of measurement
The Tamil units of measurement is a system of measurements that was traditionally used in ancient Tamil-speaking South India.
These ancient measurement systems spanned systems of counting, distances, volumes, time, weight as well as tools used to do so. While modern India uses the metric system International System of Units, some of these older day measurement systems, especially those of counting, are still used today.
Other units that have persisted are those of area – the 'ma' and the ‘ground’, both used to measure land and the ‘molam’ which has been relegated to measuring the length of a sandanam garland sold on streets.
There are several similarities between the measurement system used in Tamil Nadu and that used by the Indus Valley civilisation. Recent excavation studies from Keezhadi reveal existence of an older non-vedic civilisation in Tamil Nadu. New discovery suggest possibilities of source of ancient Indian mathematicians in Tamil Nadu.
Units of time in ancient Tamil history
- 10 குழிகள் = 1 மிய் = 66.6666 millisecond-the time taken by the young human eyes to flap once.
- 2 கண்ணிமைகள் = 1 கைநொடி = 0.125 second
- 2 கைநொடி = 1 மாத்திரை = 0.25 second
- 6 மிய்கள் = 1 சிற்றுழி = 0.40 second-the time taken for a bubble to travel a distance of one சாண்.
- 2 மாத்திரைகள் = 1 குறு = 0.50 second
- 2 நொடிகள் = 1 வினாடி = 0.80 second-the time for the adult human heart to beat once
- 2 நொடிகள் = 2 குறு = 1 உயிர் = 1 second
- 5 நொடிகள் = 2 உயிர் = 1 சாணிகம் = 1/2 அணு = 2 seconds
- 10 நொடிகள் = 1 அணு = 4 seconds
- 6 அணுக்கள் = 12 சாணிகம் = 1 துளி = 1 நாழிகை வினாடி = 24 seconds
- 10 துளிகள் = 1 கணம் = 4 minutes
- 6 காணன்கள் = 1 நாழிகை = 24 minutes
- 10 நாழிகைகள் = 4 சாமம் = 1 சிறுபொழுது = 240 minutes = 4 hours
- 6 சிறுபொழுதுகள் = 1 நாள் = 1 day = 24 hours
- 7 நாட்கள் = 1 வாரம் = 1 week
- 15 நாட்கள் = 1 அழுவம் = 1 fortnight
- 29 நாட்கள் = 1 திங்கள் = 1 lunar month
- 2 திங்கள் = 1 பெரும்பொழுது = 1 season
- 6 பெரும்பொழுது = 1 ஆண்டு = 1 year
- 64 ஆண்டுகள் = 1 வட்டம் = 1 cycle
- 4096 ஆண்டுகள் = 1 ஊழி ōḻi = 1 epoch
Area Measurement
- 1 மரக்கால் விதைப்பது = 8 cents
- 12 மரக்கால் விதைப்பது = 100 cents
- 1 குறுணி = 8 cents
- 1 பதக்கு = 16 cents
- 1 முக்குறுணி = 24 cents
- 1 sq கஜம் = cents
- 1 வீசம் = 36 sq ft
- 436 குழி = 100 cents
- 1 குழி = 144 சதுர அடி
- 1 மா = 100 குழி
- 1 காணி = 4 மா
- 1 வேலி = 5 காணி
- 1 Parappu = 1 Lacham = 10 Perches
- 16 Parappu = 1 Acre
- 18 kulies = 1 lacham
- 16 lachams = 1 acre
- 12 kulies = 1 lacham
- 24 lachams = 1 acre
Units of ancient trade
Balance weights
Thanga edaihal
- 4 nel eḍai = 1 kuṉṟimaṇi
- 2 kuṉṟimaṇi = 1 māñcāḍi
- 1 māñcāḍi = 1 paṇaveḍai
- 5 paṇaveḍai = 1 kaḻañcu
- 8 paṇaveḍai = 1 varāgaṉeḍai
- 20 paṇaveḍai = 4 kaḻañcu = 1 kaqhsu
- 80 paṇaveḍai = 16 kaḻañcu = 4 kaqhsu = 1 palam
- 1.5 Kaḻañcu = 8 grams or one sovereign/pavun.
2 kuṉṟima குன்றிமணி = 1 māñcāḍi மஞ்சாடி
20 māñcāḍi மஞ்சாடி = 1 kaḻañcu கழஞ்சு
Ceylon Currency and Coins by H W Codrington page 10 too agrees with 20 māñcāḍi = 1 kaḻañcu.
Porutkal yedaihal
- 32 kuṉṟimaṇi = 1 varāgaṉeḍai
- 10 varāgaṉeḍai = 1 palam
- 40 palam = 1 veesai
- 1000 palam = 1 kā
- 6 veesai = 1 tulām
- 8 veesai = 1 maṇangu
- 20 maṇangu = 1 pāram.
Grain volume
- 1 kuṇam = smallest unit of volume
- 9 kuṇam = 1 mummi
- 11 mummi = 1 aṇu
- 7 aṇu = 1 immi
- 7 immi = 1 uminel
- 1 sittigai = 7 uminel
- 360 nel = 1 sevidu
- 5 sevidu = 1 āḻākku
- 2 āḻākku = 1 uḻakku
- 2 uḻakku = 1 uri
- 2 uri = 1 padi@
- 8 padi = 1 marakkaal
- 2 marakkāl = 1 padakku
- 2 padakku = 1 tōṇi
- 3 tōṇi = 1 kalam
- 5 marakkāl = 1 paṟai
- 80 paṟai = 1 karisai
- 96 padi = 1 pothi
- 21 marakkal = 1 Kottai
- 22 mākāni = 100 g
Fluid volume
- 5 sevidu = 1 āḻākku
- 2 mahani = 1 āḻākku
- 2 āḻākku = 1 uḻakku
- 2 uḻakku = 1 uri
- 2 uri = 1 padi
- 4 padi= 1 marakkaal
- 2 marakkāl = 1 padakku
- 2 padakku = 1 tōṇi
- 21 Marakkal = 1 Kottai
Length
- 1 Koan =
- 10 Koan = 1 Nunnanu
- 10 Nunnanu = 1 Aṇu
- 8 Aṇu = 1 Kadirtugal
- 8 Kadirtugal = 1 Tusumbu
- 8 Tusumbu = 1 Mayirnuni
- 8 Mayirnuni = 1 Nunnmanal
- 8 Nunnmanal = 1 Siru-kadugu
- 8 Siru-kadugu = 1 Yel
- 8 Yel = 1 Nel
- 8 nel = 1 viral = 8^8 aṇu = 1.9444 centimetre
- 12 viral = 1 sāṇ = 100 immi= 23.3333 centimetre = 9 inch
- 2 sāṇ = 1 muḻam = 46.6666 centimetre = 1.5 feet
- 2 sāṇ = 1 muḻam
- 2 muḻam = 1 yard = 3 feet = 1 yard
- 2 yard = 1 pāgam
- 110 pāgam = 1 furlong
- 8 furlong = 1 mile
- 5 furlong = 1 kilometre or 1000 metre
- 625 pāgam = 1 kādam = 5000 sāṇ = 1166.66 metres = 1.167 kilometre
Likeness (''Sārttal'')
Whole numbers
The following are the traditional numbers of the Ancient Tamil Country, Tamizhakam.Rank | 101 | 102 | 103 | 104 | 105 | 106 | 109 | 1012 | 1015 | 1018 | 1020 | 1021 |
Words | பத்து | நூறு | ஆயிரம் | பத்தாயிரம் | நூறாயிரம் | மெய்யிரம் | தொள்ளுண் | ஈகியம் | நெளை | இளஞ்சி | வெள்ளம் | ஆம்பல் |
Character | ௰ | ௱ | ௲ | ௰௲ | ௱௲ | ௲௲ | ௲௲௲ | ௲௲௲௲ | ௲௲௲௲௲ | ௲௲௲௲௲௲ | ௱௲௲௲௲௲௲ | ௲௲௲௲௲௲௲ |
Reading | pathu | nūru | āyiram | pattāyiram | nūraiyiram | meiyyiram | tollun | īkiyam | neļai | iļañci | veļļam | āmpal |
Tamil texts also elaborate the following sanskritized version :
- 1 ONDRU = One = 10 0
- 10 = PATU = Ten = 10 1
- 100 = NŌRU = Hundred = 10 2
- 1,000 = ĀYIRAM = One Thousand = 10 3
- 10,000 = PATĀYIRAM = Ten Thousand = 10 4
- 1,00,000 = LATCHAM = Hundred Thousand = 10 5
- 10,00,000 = PATHU LATCHAM = One Million = 10 6
- 1,00,00,000 = KODI = Ten Million = 10 7
- 10,00,00,000 = PATHU KODI = Hundred Million = 10 8
- 1,00,00,00,000 = ARPUTAM = One Billion = 10 9
- 10,00,00,00,000 = PATU ARPUTAM = Ten Billion = 10 10
- 1,00,00,00,00,000 = NIGARPUTAM = Hundred Billion = 10 11
- 10,00,00,00,00,000 = PATU NIGARPUTAM = One Trillion = 10 12
- 1,00,00,00,00,00,000 = KUMBAM = Ten Trillion = 10 13
- 10,00,00,00,00,00,000 = PATU KUMBAM = Hundred Trillion = 10 14
- 1,00,00,00,00,00,00,000 = GANAM = One Quadrillion = 10 15
- 10,00,00,00,00,00,00,000 = PATHU GANAM = Ten Quadrillion = 10 16
- 1,00,00,00,00,00,00,00,000 = KARPAM = Hundred Quadrillion = 10 17
- 10,00,00,00,00,00,00,00,000 = PATU KARPAM = One Quintillion = 10 18
- 1,00,00,00,00,00,00,00,00,000 = NIKARPAM = Ten Quintillion = 10 19
- 10,00,00,00,00,00,00,00,00,000 = PATU NIKARPAM = Hundred Quintillion = 10 20
- 1,00,00,00,00,00,00,00,00,00,000 = PATUMAM = One Sextillion = 10 21
- 10,00,00,00,00,00,00,00,00,00,000 = PATU PATUMAM = Ten Sextillion = 10 22
- 1,00,00,00,00,00,00,00,00,00,00,000 = SANGGAM = Hundred Sextillion = 10 23
- 10,00,00,00,00,00,00,00,00,00,00,000 = PATU SANGGAM = One Septillion = 10 24
- 1,00,00,00,00,00,00,00,00,00,00,00,000 = VELLAM = Ten Septillion = 10 25
- 10,00,00,00,00,00,00,00,00,00,00,00,000 = PATU VELLAM = Hundred Septillion = 10 26
- 1,00,00,00,00,00,00,00,00,00,00,00,00,000 = ANNIYAM = One Octillion = 10 27
- 10,00,00,00,00,00,00,00,00,00,00,00,00,000 = PATU ANNIYAM = Ten Octillion = 10 28
- 1,00,00,00,00,00,00,00,00,00,00,00,00,00,000 = ARTTAM = Hundred Octillion = 10 29
- 10,00,00,00,00,00,00,00,00,00,00,00,00,00,000 = PATHU ARTTAM = One Nonillion = 10 30
- 1,00,00,00,00,00,00,00,00,00,00,00,00,00,00,000 = PARARTTAM = Ten Nonillion = 10 31
- 10,00,00,00,00,00,00,00,00,00,00,00,00,00,00,000 = PATU PARARTTAM = Hundred Nonillion = 10 32
- 1,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,000 = PŌRIYAM = One Decillion = 10 33
- 10,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,000 = PATU PŌRIYAM = Ten Decillion = 10 34
- 1,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,000 = MUKKODI = Hundred Decillion = 10 35
- 10,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,000 = PATU MUKKODI = One Undecillion = 10 36
- 1,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,000 = MAHAYUGAM = Ten Undecillion = 10 37
- 1 ONDRU = One = 10 0
- 10 = PATU = Ten = 10 1
- 100 = NŌRU = Hundred = 10 2
- 1,000 = ĀYIRAM = One Thousand = 10 3
- 10,000 = PATĀYIRAM = Ten Thousand = 10 4
- 100,000 = LATCHAM = Hundred Thousand = 10 5
- 1,000,000 = PATU LATCHAM = One Million = 10 6
- 10,000,000 = KODI = Ten Million = 10 7
- 100,000,000 = PATU KODI = Hundred Million = 10 8
- 1,000,000,000 = NŌRU KODI = One Billion = 10 9
Fractions
- 1 – ஒன்று – onRu
- 3/4 = 0.75 – முக்கால் – mukkāl
- 1/2= 0.5 – அரை – arai
- 1/4 = 0.25 – கால் – kāl
- 1/5 = 0.2 – நாலுமா – nālumā
- 3/16 = 0.1875 – மும்மாகாணி –mummākāṇi this is called as Mukkhani
- 3/20 = 0.15 – மும்மா – mummaa
- 1/8 = 0.125 – அரைக்கால் – araikkāl
- 1/10 = 0.1 – இருமா – irumā
- 1/16 = 0.0625 – மாகாணி – mākāṇi
- 1/20 = 0.05 – ஒருமா – orumā
- 3/64 = 0.046875 – முக்கால்வீசம் – mukkāl vīsam
- 3/80 = 0.0375 – முக்காணி – mukkāṇi
- 1/32 = 0.03125 – அரைவீசம் – araivīsam
- 1/40 = 0.025 – அரைமா – araimā
- 1/64 = 0.015625 – கால் வீசம் – kaal vīsam
- 1/80 = 0.0125 – காணி – kāṇi
- 3/320 = 0.009375 – அரைக்காணி முந்திரி – araikkāṇi muntiri
- 1/160 = 0.00625 – அரைக்காணி – araikkāṇi
- 1/320 = 0.003125 – முந்திரி – muntiri
- 3/1280 = 0.00234375 – கீழ் முக்கால் – kīḻ mukkal
- 1/640 = 0.0015625 – கீழரை – kīḻarai
- 1/1280 = 7.8125e-04 – கீழ் கால் – kīḻ kāl
- 1/1600 = 0.000625 – கீழ் நாலுமா – kīḻ nalumā
- 3/5120 ≈ 5.85938e-04 – கீழ் மூன்று வீசம் – kīḻ mūndru vīsam
- 3/6400 = 4.6875e-04 – கீழ் மும்மா – kīḻ mummā
- 1/2500 = 0.0004 – கீழ் அரைக்கால் – kīḻ araikkāl
- 1/3200 = 3.12500e-04 – கீழ் இருமா – kīḻ irumā
- 1/5120 ≈ 1.95313e-04 – கீழ் வீசம் – kīḻ vīsam
- 1/6400 = 1.56250e-04 – கீழொருமா – kīḻ orumā
- 1/102400 ≈ 9.76563e-06 – கீழ்முந்திரி – kīḻ muntiri
- 1/2150400 ≈ 4.65030e-07 – இம்மி – immi
- 1/23654400 ≈ 4.22754e-08 – மும்மி – mummi
- 1/165580800 ≈ 6.03935e-09 – அணு – aṇu
- 1/1490227200 ≈ 6.71039e-10 – குணம் – kuṇam
- 1/7451136000 ≈ 1.34208e-10 – பந்தம் – pantam
- 1/44706816000 ≈ 2.23680e-11 – பாகம் – pāgam
- 1/312947712000 ≈ 3.19542e-12 – விந்தம் – vintam
- 1/5320111104000 ≈ 1.87966e-13 – நாகவிந்தம் – nāgavintam
- 1/74481555456000 ≈ 1.34261e-14 – சிந்தை – sintai
- 1/1489631109120000 ≈ 6.71307e-16 – கதிர்முனை –katirmunai
- 1/59585244364800000 ≈ 1.67827e-17 – குரல்வளைப்படி –kuralvaḷaippiḍi
- 1/3575114661888000000 ≈ 2.79711e-19 -வெள்ளம் – veḷḷam
- 1/357511466188800000000 ≈ 2.79711e-21 – நுண்மணல் –nuṇmaṇal
- 1/2323824530227200000000 ≈ 4.30325e-22 – தேர்த்துகள் –tērttugaḷ
Currency
- 1 pal = 0.9 grain
- 8 paṟkaḷ = 1 senkāṇi = 7.2 grains
- 1/4 senkāṇi = 1 kālkāṇi = 1.8 grains
- 64 paṟkaḷ = 1 KaaNap-pon aka. Kāsu panam = 57.6 grains
- 1 Roman dinarium was traded on par with 2 Kāṇappon plus 1 Senkāṇi.
- 18 Ana = 2.85 Rupee, 16 Ana = 1 Rupee, 1 Ana = 3 Tuṭu, 1/4 Ana = 3/4 tuṭu
Divisions of a Day
1. காலை : 6 am-10 am
2. நண்பகல் : 10 am-2 pm
3. எற்பாடு : 2 pm-6 pm
4. மாலை : 6 pm-10 pm
5. இடையாமம் : 10 pm-2 am
6. வைகறை : 2 am-6 am
Divisions of the Year
பெரும்பொழுது1. இளவேனில் : சித்திரை, வைகாசி
2. முதுவேனில் :ஆனி, ஆடி
3. கார்காலம் : ஆவணி, புரட்டாசி
4. குளிர்காலம் : ஐப்பசி,கார்த்திகை
5. முன்பனிக் காலம்: மார்கழி, தை
6. பின்பனிக் காலம் : மாசி, பங்குனி