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Writing Numbers With Tengwar: A Practical Guide Per Lindberg

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Writing numbers with Tengwar page 1 Per Lindberg, 2002-03-24

Writing numbers with Tengwar


A practical guide
Per Lindberg
Tengwar numbers are written with the least significant digit first. This is backwards
compared to Arabic numbers, but on the other hand there is no a priori rule on which digit
should come first, so the Arabic numbers are just as backwards compared to the Tengwar
numbers.
The numerals 0-9 are written:
- : - ] ]
0 1 2 3 4 5 6 7 8 9
Example: the number 6930871 is written :]-] .
Duodecimal numbers
Sometimes the Eldar also used a duodecimal number system (with twelve symbols instead of
ten as in Arabic numbers). The dwarves only used this system. Men of the West in the third
age used the decimal system.
A duodecimal number is based on the number 12 instead of 10, and counts in ones, dozens,
grosses etc, instead of ones, tens, hundreds, etc.
Example: The duodecimal number
*
1B6A
12
equals the decimal number 3394
10
:
1 x 12
3
+ 11 x 12
2
+ 6 x 12
1
+ 10 x 12
0
= 1728 + 1584 + 72 + 10 = 3394
The duodecimal numerals A and B are written:
:
10
10
11
10

*
To distinguish numbers of different base, the base is written as a subscript after the number. Also, the
letters A
12
and B
12
are often used as symbols for the values ten and eleven.
Writing numbers with Tengwar page 2 Per Lindberg, 2002-03-24
Markings
Numerals are normally easy to discern and thus need not be marked. If needed, special
markings can be used. The following examples show how 3394 (1B6A12) can be written with
various markings:
Decimal numbers can be marked with a dot above each tengwa: ]
Long decimal numbers in the midst of words can be marked with a line above:
]
Duodecimal numbers are marked with dots or a line below: ::
When dots are used to mark duodecimal numbers, the duodecade (the digit for twelves)
can be marked with a small circle: ::
Summary
-
0
:
1
-
2

7
]
8
]
9
Excercises
1. Transcribe the number 1420, both in decimal and in duodecimal.
2. What happened in the Second Age year ]: ?
3. What is the decimal equivalent of :] ?

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