Numbers
Numerals and mathematical operations are particles.
Cardinal Numbers
The number system in High Lulani uses balanced sesquidecimal (base 15), and so numbers are written with the positive digits (1, 2, 3, 4, 5, 6 and 7), their negative counterparts (1, 2, 3, 4, 5, 6 and 7) and a zero (0). A period (fractional point: . ) is used to separate the integer part of the number from the mantissa. A comma (,) is used in the integer part to separate the digits into groupings of four, beginning from the fractional point.
One-digit Numbers
Here are the names for the one-digit numbers:
| qihha | ねっは | 0 |
| xita | した | 1 |
| ra | ら | 2 |
| kifi | きべ | 3 |
| nuru | ぬる | 4 |
| guhi | ぐひ | 5 |
| ’usi | うせ | 6 |
| salumi | さをみ | 7 |
| (qihha | ねっは | 0) |
| mullu | むっを | 1 |
| kannu | かっぬ | 2 |
| bila | びわ | 3 |
| missu | みっす | 4 |
| laffi | わっべ | 5 |
| jusiti | よせて | 6 |
| haki | はき | 7 |
The full form qihha ねっは zero is only used when by itself, or first in a number or noun phrase. Otherwise, the clipped form -hha っは ten is used.
Two-digit Numbers
Numbers between 17 and 16 are composed of the quasi-prefix sa さ and the final two syllables of the number, except for salura (not sara) 12.
Round numbers, i.e.: numbers ending with a single zero, use the suffix -hha っは.
All other two digit numbers, except for 22, are formed by juxtaposing the tens digit with the units.
The word for 22, the exception, is ranira らにら.
Three- and Four-digit Numbers
Three- and four-digit numbers are divided into the number of hundreds, and the remainder. This remainder is always the last two digits of the number.
The word for 100 is takki たっき. Other three-digit numbers beginning with a 1 are formed by prefixing this word to the remainder, while even larger three- and four-digit numbers append it to the number of hundreds, which is then followed by the remainder as a separate word.
takkinurukannu たっきぬるかっぬ 142
guhitakki ’usibila ぐひたっき うせびわ 563
sahhatakki kifinuru さっはたっき きべぬる 1034
kannuratakki missumullu かっぬらたっき みっすむっを 2241
In any of these cases, if the remainder is zero, it is left off.
Higher and Lower Order Numbers
When a number is written out in digits, each set of four digits from the fractional point makes up a group. The group furthest from the fractional point may not have this full quota of digits. An index marker notes the identity of a particular group.
The index marker is composed of the prefix pa- ぱ followed by the number of groups between this one and the fractional point. Positive index numbers are for the integer part of the number, and negative index numbers are for the mantissa.
The index marker is suffixed to the group word.
paxita ぱした 1,0000
para ぱら 1,0000,0000
pakifi ぱきべ 1,0000,0000,0000
pamullu ぱむっを 0.0001
samissu paxita さみっすぱした 14,0000
takkiranira paxita たっきらにらぱした 122,0000
There is nothing preventing an index-marked number being used within another index marker, although the second pa- is usually geminated.
pappaxita ぱっぱした 1,00001,0000
papappaxita ぱぱっぱした 1,00001,0000^1,0000
Non-integral Numbers
Reading Mantissas
There are two ways to read a mantissa. One uses the above method of index markers, and the second reads out the digits in pairs or individually. These methods are often combined: using index markers for the first digit groups, and then continuing to read digits separately.
Repeating and Reflecting Strings
All rational numbers end with a repeating string of digits. For some numbers, this string is “0”. In non-zero cases, the word tuni とに repeat is inserted before the repeating string. The string must be read out with individual digits.
There are also numbers for which the repeating string can be cut in half, with digits in the second half being the negative of the digits in the first half. For these, only the first half is read out, with the word mala まわ reflect inserted.
paqihha xita tuni guhira ぱねっは したとにぐひら 0.15252…
paqihha xita mala guhira ぱねっは したまわぐひら 0.152525252…
Fractions
The suffix -ki き separates the numerator from the denominator. If the numerator is 1, then saki さき is used.There is also a commonly used variant for ½: ’ima いま.
Other Numbers
Other numbers include:
fixi べし the circle constant τ
du’ami どあみ the imaginary number i
’u う the base e of the natural logarithm
Fixi batu du’ami calu ’u ’anu xita.
。べしばとどあみやをうあぬした。
fixi batu du’ami calu ’u ’anu xita
τ multiply i power e equals one.
“e to the power of τ times i equals one.”
Ordinal Numbers
Ordinal numbers are used to mark position in a line or a list.
The first two ordinal numbers are suppletive, that is, they are not related to their cardinals. All other ordinals are formed by adding the suffix -uju よ to the cardinal number.
bijju びっよ 1st
matta まった 2nd
kifuju きふよ 3rd
nuruju ぬるよ 4th
salumuju さをむよ 7th
saqikkuju さねっくよ 10th
saxituju さしとよ 11th
takkuju たっくよ 100th
Using Numbers
Ordinal and cardinal numbers are used in noun phrases, and are inserted between any case markers or adpositions, and the noun.
“the fourth king”
“due to the seven queens.”
Numbers can be suffixed to a noun to denote not the quantity, but a quality.
“seven books”
“septet”
The number ra ら two can be used in this way to refer to a pair of something.