Tuesday, 15 December 2015

Counting Sheep

Hi Everyone

The other night I was having trouble sleeping and so remembered that old idea of counting sheep to induce the zzzs. This then reminded me of some research I had been doing on Welsh numbering systems for my novel. Before long I was thinking of the Cumbrian sheep counting systems I had come across and other interesting titbits. As I am one of those people who once they have an idea in theirs heads wants to confirm the details or else keeps winding idea after speculation after mystery. So much for sleep. Eventually, I bribed my mind with more research in the morning in exchange for sleep. It worked. Sort of.
Credit: http://tlp.advancedbrain.com/a/sleep/
The first thing to realise is that apparently counting sheep may not be the best way of getting to sleep. Recent research discovered that participants imagining a ‘beach or a waterfall’ fell asleep 20 minutes faster than those asked to ‘simply distract from thoughts, worries and concerns’, which of course may involve counting sheep. The main thing to come out of the research is the idea that using the brain in complex mental activities can help induce sleep. Good to know.

With that out of the way, I want to look at the sheep counting systems I came across in my research. I was looking at Cumbrian, an extinct Brythonic language, mainly because part of my novel is set in the area in which that language evolved. It turned out that remnants of the language could be found in sheep counting systems used in the north and highlands of Britain. The numbers seemed to be a mixture of Celtic words and invented words for rhyming and memory purposes. The table below shows some of these systems:

Number
Wilts
Scots
Lakes
Dales
Welsh
1
Ain
Yan
Auna
Yain
Un
2
Tain
Tyan
Peina
Tain
Dau
3
Tethera
Tethera
Para
Edderoa
Tri
4
Methera
Methera
Peddera
Peddero
Pedwar
5
Mimp
Pimp
Pimp
Pitts
Pump
6
Ayta
Sethera
Ithy
Tayter
Chwech
7
Slayta
Lethera
Mithy
Leter
Saith
8
Laura
Hovera
Owera
Overro
Wyth
9
Dora
Dovera
Lowera
Coverro
Naw
10
Dik
Dik
Dig
Dix
Deg
11
Ain-a-dik
Yanadik
Ain-a-dig
Yain-dix
Un ar ddeg
12
Tain-a-dik
Tyanadik
Pein-a-dig
Tain-dix
Deuddeg
13
Tethera-a-dik
Tetheradik
Para-a-dig
Eddero-dix
Tri ar ddeg
14
Methera-a-dik
Metheradik
Peddaer-a-dig
Pedderp-dix
Pedwar ar ddeg
15
Mit
Bumfitt
Bunfit
Bumfitt
Pymtheg
16
Ain-a-mit
Yanabumfit
Aina-a-bumfit
Yain-o-bumfitt
Un ar bymtheg
17
Tain-a-mit
Tyanabumfitt
Pein-a-bumfit
Tain-o-bumfitt
Dau ar bymtheg
18
Tethera-mit
Tetherabumfitt
Par-a-bunfit
Eddero-bumfitt
Deunaw
19
Gethera-mit
Metherabumfitt
Pedder-a-bumfit
Peddero-bumfitt
Pedwar ar bymtheg
20
Ghet
Giggot
Giggy
Jiggit
Ugain
Source: here
Metheradik (=14) sheep in the west of Ireland (photo by Stan Carey) Source here.
See this video or this one for a folk song (‘Molly Metcalfe’) that uses the Yan-Tan-Tether-Mether-Pip system from Swaledale.

What I found of interest in this research is how the shepherds would use such a system. According to this site, a shepherd would count to twenty (for example, yan to giggot), which is a score, and then make a mark on his/her crook or put a stone in her/his pocket. The number of marks or stones would help give the final tally of the flock.

However, what if no stones were available or he/she couldn’t make a mark? Then the shepherd could do the following (found here): 
  1.  Count the first score
  2. Form a fist with the left hand
  3. Count another score
  4. Indicate this with a raised thumb
  5. Continue counting scores
  6. Five fingers raised would equal 120 sheep
  7. If more sheep need counting, use the right hand to indicate cycles of the left hand
  8. Total number of sheep that could be counted this way is 20 x 6 x 6 = 720 (not the 600 mentioned on the site)
  9. No flock would likely be more than this number

Source here.
What if you want to count more than 720 things? Here’s another system (adapted from here), based on counting with the fingers, a type of binary system: 
  1. Use the left hand in a fist
  2. One = thumb raised
  3. Two = index finger raised
  4. Three = thumb and index finger
  5. Four = second finger
  6. Five = thumb and second finger
  7. Six = first and second finger
  8. Seven = thumb, first and second finger
  9. Eight = third finger
  10. Nine to Fifteen = Third plus cycle through as above
  11. Sixteen = Fourth finger
  12. Seventeen to Thirty = Fourth plus cycle through as above
  13. Thirty-one = Thumb and four fingers raised
  14. Another thirty-one = The right hand with all fingers raised 

As with the previous example, one could use the same approach with the right hand to multiply the number of items counted:
  1. Left hand with raised fingers = 31
  2. Right hand with raised fingers = another 31
  3. Left hand raised and right thumb up = another 31
  4. Left hand raised and first finger up = another 31, etc.
  5. With each cycle of the left hand, raise the appropriate finger/s of the right hand
  6. Counting finishes when the fingers of both hands are raised
So, with practice, you could win bets by claiming you can count with your fingers to
(31 + 31) + (31 x 31) = 62 + 961 = 1023

My mathematical mind finds all this fascinating, though I’m sure others may not, especially if you try to force them to watch while you demonstrate the counting process :)

As for using any of this in my novel, something may find its way in, but not as yet.

I hope you’ve enjoyed. As always, I welcome any queries or comments.

All the best
Earl

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