Numbers in Seuna

In Seuna the number system uses base 8. Remember that all the numbers in this section are in octal, even if not specifically marked as such.

Zero

Seuna has a symbol for zero (actually similar to our "o" but a bit smaller). It is called nyegatuna (gap symbol).

From 1 to 7

@aba	@iga	@oda	@ela	@uca	@aisa	@auka
one	two	three	four	five	six	seven

Seuna doesn't have separate symbols for the numbers 0 to 7, but instead uses letter symbols. Also a vertical slash is included. Every Seuna number must have a vertical slash. Unlike words which are written next to other words with no spaces between, a number must be separated by spaces on both sides.

From 10 to 77

108	@abau
208	@igau
308	@odau
408	@elau
508	@ucau
608	@aisau
708	@aukau

Every two digit number (i.e. 10 to 77) has its own unique word which can be worked out quite easily. For example "twenty three" is pronounced as @igauda and written ;-

From 100 to 777

1008	@abai
2008	@igai
3008	@odai
4008	@elai
5008	@ucai
6008	@aisai
7008	@aukai

The numbers 100 -> 700 are written similarly as the numbers 10 => 70 but with two zero's instead of one. . It wasn't thought necessary to illustrate them here.

As with two digit numbers, every three digit number (i.e. 100 to 777) has its own unique word which can be worked out quite easily, For example ;-

@abaikauda = 173₈

@ucaiba = 501₈

There is also another equally valid (but rarely encountered) way to write 501. It is shown below.

The above form of "501" will be explained in the next section.

From 1000 to 10³⁶-1

So far we have been able to express every number by one word. However numbers over 777 can not be so expressed.

Numbers over 777 need at least one "rank" word as well. These words are a bit like our prefixes "kilo", "Mega", etc.

However there are some differences in usage. In Seuna it would not be allowed to say 2,000 km, but you would have to say 2 Mm (two Mega meters). It would not be allowed to say 2,175 km but you would have to say 2 M 175 k m (two Mega one hundred and seventy five kilo meters). If the number has a high "dynamic range" it will need a number of "rank" words.

The Seuns "rank" words are given below.

83	m	mu
86	y	yu
89	j	ju
812	f	fu
815	p	pu
818	t	tu
821	w	wu
824	n	nu
827	h	hu

So for example;-

The equatorial circumference of the earth would be given as @igaidau yu @aisaikauka mu @elaibaula meters * ( 230,677,414 ₈= 40,075,020₁₀)

Note that we have a number word then a rank word then a number word ... and so on.

• Of course the "meter" is not a Seuna unit of measurement. Seuna has its own units for all qualities.

The vertical slash

The vertical slash that must come with all numbers, when unadorned with a superscript or a subscript, can function as a decimal point. Also when occurring at the left hand side of a number or in the middle of a number it is pronounced when speaking out the number. For example ;-

pronounced @iga feti @odai

pronounced feti @igaidau

pronounced @iga feti @odau

pronounced @iga feti @oda

(feti means vertical)

To show the exactness of a number

Three symbols that when placed over "letters", represent vowels, are used to give some idea of the exactness of a number.

The basic number above @oda mu @elai which we can say is "three thousand four hundred"(roughly).

The first word has the "i" vowel symbol after it. It would be pronounced @oda mu @elai tiki ... tiki simple means "exactly"

The second word has the "u" vowel symbol after it. It would be pronounced @oda mu @elai jubu ... jubu simple means "approximately". Note that this symbol is very similar to the symbol for zero. However as zero will never occur on the trailing edge of a number, there is no chance of misidentification.

The third word has the "a" vowel symbol after it. It would be pronounced @oda mu @elaia . This expression denote the range of numbers from 3,400 => 3,477.77777 ...

The fourth word would be pronounced @oda mu @elaicaua . This expression denote the range of numbers from 3,450 => 3,457.7777 ...

When @oda mu @elaicaua is followed by the locative case clitic, it mean one number in the range 3,450 => 3,457.7777 ...

From 1 to 10^-36-1

Of course there is also a way of representing numbers smaller than one, as well. The table below shows the symbols used for this.

8-3	m	mi
8-6	y	yi
8-9	j	ji
8-12	f	fi
8-15	p	pi
8-18	t	ti
8-21	w	wi
8-24	n	ni
8-27	h	hi

Now you can see the same letter is being used to write exponent values greater than one and also less than one. What is to stop confusion between the two sets ? Well for longish numbers with two or more exponent values, the relative order of the exponents should tell you if we are dealing with a greater than one situation, or a less than one situation. For example 34y4̴72m531 must be greater than one, and 34m4̴72y531 must be less than one. However how do we distinguish between numbers that have only one exponent ? Well in these cases we would put a decimal point to the left of the numbers that are smaller than one. The decimal point symbol is a near-vertical dash(represented here by "/"). For example /34y4̴⁓ is a number smaller than one.

Note;- The numbers get there magnitude value from the letter and not the decimal point. Only if there is no letter, do they take there magnitude value from the decimal point. For example /34 would equal (3*8^-1)+(4*8^-2). Whereas /34y would equal (3*8^-5)+(4*8^-6).

And even bigger numbers

The two sets of exponent terms given above can be expanded somewhat to specify a bigger range of numbers. A symbol pronounced mua (written as the Seuna symbol for "m" with a small slash under it) representing 8³⁰ comes after the symbol pronounced hu. Other large exponents are generated in a similar manner up to a symbol pronounced hua representing 8⁵⁴.

And we can expand these terms even more. A symbol pronounced muan (written as the Seuna symbol for "m" with two small slashes under it) representing 8⁵⁷ comes after the symbol pronounced hua. Other large exponents are generated in a similar manner up to a symbol pronounced huan representing 8⁸¹.

In a similar manner the small exponents can be expanded to 8^-81. This is pronounced hian and written the same as huan.

Numbers outside the above ranges are not specified.

Fractions

a unit	haban
a half	higan
a third	hodan
a fourth	helan
a fifth	hucan
a sixth	haisan
a seventh	haukan

Ordinal numbers

Ordinal numbers are adjectives so come after the word that they qualify.

@oda dwolo = three houses

dwolo @odas = the third house

Nouns from numbers

klolo = wheel, klolaga = bicycle ?? kloli = vehicle ??

Negatives numbers

A negative is represented by putting "back/backwards" after the number.

Imaginary numbers

An imaginary number is represented by putting "side/sideways" or "rightside" or "leftside" after the number.

Mathematical operations

Addition

Western mathematical notation	Which is pronounced
2 + 3 = 5	two and three is five
Seuna mathematical notation	Which is pronounced
2,3>5	aga ada ro aca

Subtraction

For subtraction, or addition which inviolves negative numbers, each number must be followed by either "forward" or "backward" depending upon whether the number is possitive or negative.

Multiplication

There is a particle je which is placed between words to be multiplied.

Western mathematical notation	Which is pronounced
2 x 3 = 5	two times three is five
Seuna mathematical notation	Which is pronounced
2+3>5	aga je ada ro aca

Division

15 divided by 5 is 3 ............. 15 shared 3ji is 5

tonda means "to add" or "addition", and jemba means "to multiply" or "multiplication". ??? tondua = subtraction, jembua = division ???

Index

1. Introduction to Seuna
2. Seuna : Chapter 1
3. Seuna word shape
4. The script of Seuna
5. Seuna sentence structure
6. Seuna pronouns
7. Seuna nouns
8. Seuna verbs (1)
9. Seuna adjectives
10. Seuna demonstratives
11. Seuna verbs (2)
12. Asking a question in Seuna
13. Seuna relative clauses
14. Seuna verbs (3)
15. Methods for deriving words in Seuna
16. List of all Seuna derivational affixes
17. Numbers in Seuna
18. Naming people in Seuna
19. The Seuna calendar
20. Seuna units