Okyyryn Numbers

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>> Conlangs >> 8th-millennium Okyyryn

Contents 1 Numbers 2 Mathematics 3 Measurements 3.1 Length 3.2 Surface 3.3 Pi 3.4 Volume

Numbers

Numbers in Okyyryn are based on 16 with a base-4 system underneath. Look how this works:

1 ಲಈಲಓಜ lyyloosh (I), 2 ಃಲಈಥಈರ lyytyydhn (Y), 3 ಃಲಈಥಓಜ lyytooshn (J), 4 ಲಈಸಫಉತ lyysput (P),
5 ಲಇಲಉಜ lylush (A), 6 ಃಲಇಥಇರ lytydhn (V), 7 ಃಲಇಥಉಜ lytushn (R), 8 ಲಇಸಫಉತ lysput (W),
9 ಕಈಲಓಜ kyyloosh (D), 10 ಃಕಈಥಇರ kyytydhn (G), 11 ಃಕಈಥಓಜ kyytooshn (C), 12 ಕಈಸಫಉತ kyysput (B),
13ಸಇಲಓಜ syloosh (Q), 14 ಃಸಇಥಇರ sytydhn (X), 15 ಃಸಇಥಉಜ sytushn (S), 16 ಃಸಇಸಫಉತ sysput (O),
17 ಃಸಇಸಫಉತ ಲಈಲಓಜ sysput lyyloosh (OI), 18 ಃಸಇಸಫಉತ ಃಲಈಥಈರ sysput lyytyydhn (OY), ...
32 ಃಲಈಥಈರ ಃಸಇಸಫಉತ lyytyydhn sysput (YO), 33 ಃಲಈಥಈರ ಃಸಇಸಫಉತ ಲಈಲಓಜ lyytyydhn sysput lyyloosh (YOI), ...
64 ಲಈಸಫಉತ ಃಸಇಸಫಉತ lyysput sysput (PO),
255 ಃಸಇಥಉಜ ಃಸಇಸಫಉತ ಃಸಇಥಉಜ sythushn sysput sythushn (SOS),
256 ಬಇಫ pyp (K)
2004 (7*256 + 13*16 + 4) ಃಲಇಥಉಜ ಬಇಫ ಸಇಲಓಜ ಃಸಇಸಫಉತ ಲಈಸಫಉತ lytushn pyp syloosh sysput lyysput (RKQOP),
65536 ಃಲಇರಜಈ lydhshyyn (E)
4,294,967,296 ಃಲಇರಜಈಜಈರ lydhshyyshyydhn (Ж) [only used in scientific contexts]

Digits are printed in bold.

Mathematics

• Okyyryn doesn't have a symbol for addition, you just put a space between the addends: W D|OI (8+9=17) lysput kyysht kyyloosh pö sysput lyyloosh
• The minus symbol is a backslash: D\J|V (9-3=6) kyyloosh usoopn lyytooshn pö lytydhn
• Our minus symbol is used for multiplication: G-A|JOY (5*10=50) lylush owyy kyytydhn pö lyytooshn sysput lyytyydhn
• A slash is used for division: B/V|Y (12/6=2) kyysput joosdhop lytydhn pö lyytyydhn
• An 'e' is used to exponentiate: YeJ|W (2³=8) lyytyydhn sutso lyytooshn pö lysput
• A gamma is used for roots: AOIγY|D (√81=9) lylush sysput lyyloosh yyxooj lyytyydhn pö kyyloosh
• The number zero (•)is only used by mathematicians. It is simply called xyp ("nothing").
• Negative numbers are written with a backslash before the first digit: \C (-10) usoopn kyytooshn.
• Fractions are not common in Okyyryn. You can, however, abbreviate 1/ಕ with /ಕ (1/x).
• Instead of a decimal point or comma, Okyyryn uses the symbol °: J/Y|I°W (3/2=1.5) lyytooshn joosdhop lyytyydhn pö lyyloosh kuudhuun lysput. Note that 1/2 = 8/16, thus = .8 in the hexadecimal system.
• The ° symbol is used after every hexadecimal digit.
• Since there is no number zero, hexadecimal fractions between 0 and 1 are expressed like this: °P (.4 hexa = 4/16 = .25 decimal) kuudhuun lyysput.
• Periods are written with a colon. The symbol ‘ can be used to disambiguate: /V|°Y°G:|°Y°‘G: (1/6 = 0.2AA... hexa = 2/16+10/240 = 0.166... decimal).

Measurements

Length

Length is measured in toxootyyn (derived from Proto-Okyyryn tosxyn lyychulsuut'yyn = lower leg). One toxootyyn (Iತ~) is 0.52808117 m. There are no derived unites like "km" or "cm", but hexadecimal multiples are frequently used:

• /Жತ~ = 1/4,294,967,296 tox. = 0.123 nm
• /Eತ~ = 1/65,536 tox. = 0.8 µm
• /Kತ~ = 1/256 tox. = 2 mm
• /Oತ~ = 1/16 tox. = 3.3 cm
• Oತ~ = 16 tox. = 8.45 m
• Kತ~ = 256 tox. = 135.2 m
• Eತ~ = 65,536 tox. = 34.6 km
• Жತ~ = 4,294,967,296 tox. = 2,268,091 km

Surface

Surface is measured in xowusyyn (derived from Proto-Okyyryn sosxoch lyychulsuut'yyn = leg circle). One xowusyyn (Iಶ~) is the surface of a circle with a diameter of one toxootyyn.

• /Жಶ~ = 1/4,294,967,296 xow. = 51 nm²
• /Eಶ~ = 1/65,536 xow. = 3.34 mm²
• /Kಶ~ = 1/256 xow. = 8.56 cm²
• /Oಶ~ = 1/16 xow. = 137 cm²
• Iಶ~ = 1 xow. = 0.219 m²
• Oಶ~ = 16 xow. = 3.5 m²
• Kಶ~ = 256 xow. = 56 m²
• Eಶ~ = 65,536 xow. = 1.435 ha
• Жಶ~ = 4,294,967,296 xow. = 940.7 km²

Pi

Since the surface unit is defined with circles rather than squares, you needn't calculate πr² to calculate a circle surface. Instead, you use the same number, but with a different unit.

But calculating squares becomes more complicated. In our mathematics, the surface of a square with the side length a is a². In Okyyryn mathematics, it's ಖ~a, where ಖ~ (kooxyyn, from Proto-Okyyryn k'oosxyyrn = "square") is 4/π.

ಖ~|I°P°A°S°J°O°V°Q°B°D°B°W°W°Z°G°A°J°S°W°P°X°J... (4/π=1.27323954473516268615107010698011489...)

Kooxyyn is usually considered the most important constant in Okyyryn mathematics.

Volume

Volume is measured in totusyyn (derived from Proto-Okyyryn t'otn lyychulsuut'yyn = leg sphere). One totusyyn (Iಥ~) is the volume of a sphere with a diameter of one toxootyyn.

• /Жಥ~ = 1/4,294,967,296 tot. = 0.018 mm³
• /Eಥ~ = 1/65,536 tot. = 1.177 cm³
• /Kಥ~ = 1/256 tot. = 301 cm³
• /Oಥ~ = 1/16 tot. = 4.21 l
• Iಥ~ = 1 tot. = 77.108 l
• Oಥ~ = 16 tot. = 1.234 m³
• Kಥ~ = 256 tot. = 19.74 m³
• Eಥ~ = 65,536 tot. = 5053.4 m³
• Жಥ~ = 4,294,967,296 tot. = 0.3312 km³

1. Introduction
2. History
3. Pronunciation
4. Alphabet
5. Nouns
6. Verbs
7. Pronouns
8. Derivational Morphology
9. Word Order
10. Complex Phrases
11. Vocabulary
12. Sample Text
13. Numbers

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