nasin nanpa ali ike: Difference between revisions
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tags:
* [base name] ([https://www.seximal.net/names-of-other-bases using jan Misali's method])
* [humorous]
* [pu words]
* [self-documenting] (can be understood without having to learn it)
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all message links are to [https://discord.gg/Byqn5z9 ma pona pi toki pona] unless specified otherwise
== additive (&
=== [pu words] pu simple, ken la tan [https://en.wikipedia.org/wiki/Australian_Aboriginal_enumeration#Other_languages gumulgal] ===
<blockquote>
1 - wan<br />
2 - tu
Line 30:
=== [pu words] pu advanced ===
<blockquote
2 - tu<br />
5 - luka<br />
20 - mute<br />
100 - ale/ali
<blockquote>
69 - mute mute mute luka tu tu
</blockquote>
</blockquote>
notes:
* can be ambiguous: <code>len luka tu</code> - two gloves or seven clothes?
** <code>pi</code> can sometimes solve the issue but Not Always; <code>len luka pi tu</code> is not allowed (pu simple could just do <code>len luka pi mute tu</code> but here <code>mute</code> is a number), and <code>len pi luka tu</code> can be read as <code>clothe of two hands</code> which is... p much the same admittedly
=== [pu words] pu compromise ===
<blockquote>
2 - tu<br />
5 - luka<br />
42 - luka luka luka luka luka luka luka luka tu
</blockquote>
=== [pu words] [self-documenting] reduced-ambiguity pu, tan jan Kuka ===
Same as pu, except &
0: ala<br />
1: wan<br />
2: tu<br />
3: tu wan<br />
4: tu tu<br />
5: tu tu wan<br />
6: luka wan<br />
7: luka tu<br />
Line 91:
=== [pu words] pu advanced alternative, tan jan Non Te Pun ===
<blockquote
2 - tu<br />
5 - luka<br />
20 - sijelo<br />
42 - sijelo sijelo tu<br />
69 - sijelo sijelo sijelo luka tu tu
</blockquote>
notes:
* nasin Pu Sin li sona tan jan mute. taso, nanpa mute en nanpa ale li nasa. nanpa luka li meso. nanpa sijelo li pilin sama e nanpa luka la, sijelo li jo e palisa 20.
* Pu Advanced is the defacto standard; however, using "mute" and "ale" as numbers can be quite confusing. "luka" as a number word is much less likely to be ambiguous and is pretty widely accepted as meaning 5, even outside of pu advanced. Using "sijelo" for 20 extends the metaphor; your body has 2 hands and 2 feet, for a total of 20 digits (fingers + toes). Sijelo is also unlikely to be as confusing as "mute" and "ale" in context.
=== [pu words] seximal-based, tan jan Misali ===
Line 109:
<blockquote>
1 - wan<br />
2 - tu
Line 116:
</blockquote>
6<sub>10</sub> - 10<sub>6</sub> - luka<br />
36<sub>10</sub> - 100<sub
216<sub>10</sub> - 1000<sub>6</sub> - ale
<blockquote>
69<
</blockquote>
</blockquote>
Line 126:
=== [binary] true binary counting system, tan jan Pensa ===
<blockquote>
2 - tu<br />
4 - po<br />
8 - ka<br />
16 - sisi<br />
32 - sasu<br />
64 - sepu<br />
128 - ome
<blockquote>
Line 145:
140 - ome ka po
</blockquote>
</blockquote>
Line 161:
<blockquote>
-∞ - moli<br />
-100 - ala<br />
-20 - lili<br />
-5 - noka<br />
-2 - kin<br />
-1 - kiwen<br />
-1/2 - kon<br />
0 - o/seme<br />
1/2 - ko<br />
1 - wan<br />
2 - tu<br />
5 - luka<br />
Line 177:
∞ - lon
<blockquote
-95 - ala luka / luka ala (<code
</blockquote>
</blockquote>
=== [humorous] letter-based backwards-compatible, tan akesi kon Nalasuni ===
<blockquote
-112 - o<br />
-99 - w<br />
-97 - s<br />
-83 - m<br />
-2 - l<br />
-1 - u<br />
1 - a<br />
3 - t<br />
3 - i<br />
7 - k<br />
99 - n<br />
101 - e<br />
116 - p
<blockquote
1 - wan<br />
2 - tu<br />
Line 213:
100 - ale
3 - san<br />
4 - se<br />
4 - neja<br />
6 - ku(lupu)<br />
Line 221:
8 - tapo<br />
9 - kenju
</blockquote>
</blockquote>
=== [humorous] [pu words] tan jan Kapilu ===
<blockquote
wan = -1<br />
tu = -2<br />
luka = -5<br />
Line 234:
ale = -100
so like, 1 is ale noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka tu tu (-100 + 105 - 4)
1 = ale noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka tu tu<br />
2 = ale noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka tu wan<br />
3 = ale noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka tu<br />
4 = ale noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka wan<br />
5 = ale noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka<br />
Line 246:
7 = ale noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka tu wan<br />
8 = ale noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka tu<br />
9 = ale noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka wan<br />
10 = ale noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka noka
</blockquote>
=== [vigesimal] [humorous] [pu words] &
inspired by the north england sheep-counting rhyme
''jan tan, telo selo, mi,<br />
waso taso, kala ala, ni,<br />
sike ike, kama sama, a,<br />
poki toki, kute mute, ma.''
<blockquote>
Line 276:
To form a number, draw its Roman numeral representation using the most similar-looking sitelen pona.
5 - V - suli<br />
10 - X - ala<br />
50 - L - pi<br />
100 - C - monsi<br />
500 - D - alasa<br />
1000 - M - sijelo
2 - II - pini pini<br />
3 - III - pini pini pini<br />
4 - IV - pini suli<br />
6 - VI - suli pini<br />
9 - IX - pini ala<br />
42 - XLII - ala pi pini pini<br />
99 - XCIX - ala monsi pini ala<br />
404 - CDIV - monsi alasa pini suli<br />
999 - CMXCIX - monsi sijelo ala monsi pini ala
</blockquote>
== positional (
=== [binary] [humorous] lopo, tan kala pona Tonyu tan kule epiku Atawan ===
<blockquote
1 - lo (lon)
<blockquote
69<sub>10</sub> - 1000101<sub>2</sub> - lopopopolopolo
</blockquote>
</blockquote>
=== [binary] [humorous] batman, tan akesi kon Nalasuni ===
Line 315:
<blockquote>
0 - pa<br />
1 - nan<br />
2 - nanpa<br />
3 - nanan
<blockquote
255 - nanananananananan (Patuman)
</blockquote>
</blockquote>
=== [trinary] [pu words] ===
<blockquote
1 - wan<br />
2 - tu
<blockquote>
69<sub>10</sub> - 2120<sub>3</sub> - tu wan tu ala
</blockquote>
</blockquote>
=== [quaternary] [pu words] tan jan Kawan ===
Line 343:
A positional number system that uses the words already associated with numbers (ala, wan, tu, mute) without creating any new words, which I think is a plus.
<blockquote
1 = 1 = wan<br />
2 = 2 = tu<br />
3 = 3 = mute<br />
4 = 10 = wan ala<br />
5 = 11 = wan wan<br />
6 = 12 = wan tu<br />
7 = 13 = wan mute<br />
8 = 20 = tu ala<br />
100 = 1210 = wan tu wan ala<br />
1000 = 33220 = mute mute tu tu ala<br />
2021 = 133211 = wan mute mute tu wan wan
</blockquote>
What you kinda have to learn are the powers of 4:
<blockquote>
4^1 = 4<br />
4^2 = 16<br />
4^3 = 64<br />
4^4 = 256<br />
4^5 = 1024<br />
4^6 = 4096<br />
...
</blockquote>
=== [seximal] standard (???) ===
<blockquote
1 - wan<br />
2 - tu<br />
Line 379:
4 - po<br />
5 - luka<br />
6<sub
<blockquote>
69<sub
</blockquote>
</blockquote>
=== [seximal] [pu words] tan waso pi sona nanpa ===
<blockquote
1 - wan (obligatory)<br />
2 - tu (obligatory)<br />
3 - ma (Uuuh idk I just thought about it)<br />
4 - pu (kinda sounds like
5 - ko (only word that I found which wasn't mu and that has 2 letters)<br />
. - mu (cuz Eko said it)<br />
2.415052053524243123125404352354404354235032444 - tu mu pu wan ko ala ko tu ala ko ma ko tu pu tu pu ma wan tu ma wan tu ko pu ala pu ma ko tu ma ko pu pu ala pu ma ko pu tu ma ko ala ma tu pu pu pu
</blockquote>
=== [seximal] [not humorous] [ku] kijetesantakalu, tan soweli nata ===
<blockquote>
0 - /kijetesantaka'lu/<br />
1 - /kijetesanta'kalu/<br />
2 - /kijetesan'takalu/<br />
3 - /kijete'santakalu/<br />
4 - /kije'tesantakalu/<br />
5 - /ki'jetesantakalu/<br />
. - /'kijetesantakalu/ (tan waso pi sona nanpa; [https://discord.com/channels/301377942062366741/301377942062366741/784123701204746260 message], [https://pad.snopyta.org/uploads/upload_d9b5afc0f89d81b9de272e5d1dfa35b5.png screenshot])
<blockquote>
kijetesantakalu kijetesantakalu - 30
</blockquote>
</blockquote>
notes:
* endorsed by sonja lang! [https://discord.com/channels/301377942062366741/599425762990358528/797715687509721108 message], [https://pad.snopyta.org/uploads/upload_01be4a41109df9df7c6648d0650f801c.png screenshot]
=== [seximal] [half humorous] [ku] nanpa ki (kijetesantakalu epiku), tan jan pi soweli mun Josuwa (my take on kijetesantakalu, tan soweli nata) ===
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2021-08-13
==== How it works? ====
Line 434:
Just like kijetesantakalu, the word is divided into segments representing numbers in seximal:
<blockquote
</blockquote>
As you can see, the syllable ki is ommited and plays no role in defining a number. Let's give it one!
In nanpa ki, ki- is used as the beginning of a number (think of it as 0x in base hex). The syllables after ki- are the numerals of the number. Simple, isn't?
==== Numerals (in examples, all but initial ki- are omitted): ====
<blockquote
1 - (ki)ta<br />
2 - (ki)ka<br />
3 - (ki)san<br />
4 - (ki)te<br />
5 - (ki)je
</blockquote>
<blockquote>
</blockquote>
==== Examples ====
<blockquote>
11<sub>6</sub> - 7<sub>10</sub> - kitata<br />
32<sub>6</sub> - 20<sub>10</sub> - kisanka<br />
54<sub>6</sub> - 34<sub>10</sub> - kijete<br />
100<sub>6</sub> - 36<sub>10</sub> - kitalulu<br />
123<sub>6</sub> - 51<sub>10</sub> - kitakasan
</blockquote>
=== [seximal] nasin nanpa suli, tan jan Emalan ===
Line 474:
2021-04-02
==== Numerals: ====
Line 480:
<blockquote>
0 – ala<br />
1 – wan<br />
2 – tu<br />
3 – san<br />
4 – po<br />
5 – luka<br />
10<sub>6</sub> – 6<sub
</blockquote>
A lone <code>wan</code> before <code>kulu</code> may be omitted.
Line 498:
<blockquote>
10<sub>6</sub> – 6<sub>10</sub> – (wan) kulu<br />
11<sub>6</sub> – 7<sub>10</sub> – wan wan<br />
13<sub
20<sub
21<sub>6</sub> – 13<sub>10</sub> – tu wan<br />
30<sub>6</sub> – 18<sub>10</sub> – san kulu<br />
54<sub>6</sub> – 34<sub>10</sub> – luka po<br />
55<sub>6</sub> – 35<sub>10</sub> – luka luka<br />
100<sub>6</sub> – 36<sub>10</sub> – (wan) kulu kulu<br />
101<sub>6</sub> – 37<sub>10</sub> – (wan) kulu wan<br />
120<sub
123<sub
200<sub
201<sub
230<sub
234<sub
</blockquote>
<blockquote>
14.1<sub>6</sub> – 10.166..<sub>10</sub> – wan po lili wan<br />
2.13<sub>6</sub> – 2.25<sub>10</sub> – tu lili wan san<br />
Line 526:
3.05033..<sub>6</sub> – 3.14159..<sub>10</sub> – san lili ala luka ala san san.. / san lili ala luka kulu san san..
</blockquote>
<blockquote>
Line 541:
(This will not be confused with the usage of <code>lon</code> described above as long as there is a number directly to each side of rational <code>lon</code>.)
<blockquote>
3/5 – san lon luka<br />
14/5<sub>6</sub> – 10/5<sub
</blockquote>
==== Arithmetic ====
<blockquote>
3 + 3 = 10 – san en san li (sama) kulu.<br />
5.3 + 3.3 = 13 – luka lili san en san lili san li wan san.<br />
10 + -3 = 3 – kulu en san weka li san.<br />
1/4 + 2/4 = 3/4 – wan lon po en tu lon po li san lon po.
</blockquote>
Examples:
Line 572:
2 - 1 = 1 – tu weka wan li wan.<br />
10 - 3 = 3 – kulu weka san li san.<br />
13 - 3.3 = 5.3 – wan san weka san lili san li luka lili san.<br />
3 - -3 = 10 – san weka san weka li kulu.<br />
2 - 3 = -1 – tu weka san li wan weka.
</blockquote>
<blockquote>
3 * 2 = 10 – san mute tu li kulu.<br />
5 * -2 = -14 – luka mute tu weka li wan po weka.
</blockquote>
<blockquote>
-14 ÷ 5 = -2 – wan po weka kipisi luka li tu weka.
</blockquote>
<blockquote>
2<sup>3</sup> = 12 – tu sewi san li wan tu.<br />
3<sup>2</sup> = 13 – san sewi tu li wan san.<br />
10<sup
5<sup
4.3 * 10<sup>4</sup> = 43 000 – po lili san mute kulu sewi po li po san kulu kulu kulu.
</blockquote>
<blockquote>
sqrt(13) = 3 – wan san noka tu li san.<br />
sqrt(100) = 10 – kulu kulu noka tu li kulu.<br />
4thrt(213) = 3 – tu wan san noka po li san.
</blockquote>
<blockquote>
sewi tan [argument] pi anpa [base] li (sama) [exponent].
</blockquote>
<blockquote>
log<sub>2</sub>(12) = 3 – sewi tan wan tu pi anpa tu li san.<br />
log<sub>3</sub>(13) = 2 – sewi tan wan san pi anpa san li tu.<br />
log<sub>10</sub>(100) = 2 – sewi tan kulu kulu pi anpa kulu li tu.
</blockquote>
To alter the order of operations, use <code>ni</code> in place of an argument. If <code>ni</code> occupies the first argument of an operation, then the value of the previous operation becomes the first argument. If <code>ni</code> occupies the second argument of an operation, then the value of the following operation becomes the second argument. Follow <code>ni</code> with <code>ale / ali</code> to make the value of all previous / following operations the argument in an operation.
<blockquote
(13 + 2) * 2 = 34 – wan san en tu, ni mute tu li san po.<br />
(30 ÷ 3) - 1 = 5 – san kulu kipisi san weka wan li luka.<br />
30 ÷ (3 - 1) = 13 – san kulu kipisi ni: san weka wan, li wan san.<br />
1/4 + 3 – wan lon po en san<br />
1/(4 + 3) – wan lon ni: po en san
</blockquote>
==== Comparisons ====
<blockquote>
x
x = y – y la x li sama.<br />
x &
x &
</blockquote>
Examples:
<blockquote>
3 &
1/3
1/2 = 3/10 – san lon kulu la wan lon tu li sama. / won lon tu li (sama) san lon kulu.<br />
x
</blockquote>
==== Complex Numbers ====
Examples:
<blockquote
2i – tu poka<br />
3 + 5i – san (nasin) en luka poka<br />
2 - 3i – tu (nasin) en san weka poka / tu (nasin) weka san poka
</blockquote>
notes:
* Yeah, it’s a lot, but compared to the entire field of mathematics, this numeral / mathematical system is as limited as toki pona compared to any natural language, if not more so.
* Originally used <code
=== [seximal] [pu words] nasin nanpa pi jan Silipi ===
<blockquote
0 - ala (pu)<br />
1 - wan (pu)<br />
2 - tu (pu)<br />
3 - kule (justification: Three primary colors, sitelen pona glyph has a triangle)<br />
4 - soweli (or mu for short) (justification: most land animals have four legs)<br />
5 - luka (justification: hands have five fingers)
</blockquote>
note: this is very similar to jan Tomen numeral (but independantly arrived at), except base six instead of base ten.
=== [seximal] nasin nanpa pi jan Ino ===
<blockquote
1 - wan (pu)<br />
2 - tu (pu)<br />
3 - kiki (because triangles are pointy)<br />
4 - leko (because squares are squarey)<br />
5 - luka (because hands have 5 fingers)
</blockquote>
For multi-digit numbers, just say one digit after another.
=== [seximal] [nimi pu taso] kipisi nimi, tan jan Imo ===
Numbers are expressed as proper modifiers. Digits are ordered from smallest to largest, and consist of one syllable each. Letters used for 3 and 4 may vary.
<blockquote
1: wa (from ''wan'')<br />
2: tu (from ''tu'')<br />
3: sa (from Japanese
4: te (from Greek ''tessera'')<br />
5: lu (from
seximal point: n<br />
four nif twelve and fifsy three pernif:
</blockquote>
=== [decimal] socks numeral (based on cantonese), tan socks ===
<blockquote>
0 - lenke<br />
1 - jatu<br />
2 - ini<br />
3 - san<br />
4 - se<br />
5 - nun<br />
Line 743:
<blockquote>
1749 - jatu take se kajo<br />
867-5309 - patu loku take nun san lenke kajo
</blockquote>
Line 750:
=== [decimal] [pu words] tan jan Tomen ===
<blockquote>
1 - wan<br />
2 - tu<br />
3 - kule (tp has 3 basic colors)<br />
4 - soweli (quadrupeds)<br />
5 - luka<br />
6 - pipi (insects' legs, beehives)<br />
7 - esun (the week thing,
8 - nasin (cardinal points)<br />
9 - mun (solar system planets + moon)
Line 787:
<blockquote>
</blockquote>
</blockquote>
notes:
* kijetesantakalu
* polinpin
** <
** <
=== [decimal] [pu words] sequential numerals with poka, tan jan Ke Tami ===
Line 808:
<blockquote>
0 - ala<br />
1 - wan<br />
2 - tu<br />
3 - tu wan<br />
Line 824:
notes:
* There are more standard ways to spell numbers through en/li/e particles or others
* Does work with other bases, though
Line 832:
<blockquote>
'''Numbers'''<br />
0 - silo<br />
1 - wan<br />
2 - tu<br />
3 - san<br />
4 - po<br />
5 - papu<br />
6 - sisu<br />
7 - sepen<br />
8 - eto<br />
9 - nana
</blockquote>
<blockquote>
'''Examples'''<br />
507 - papu silo sepen<br />
220 - tu tu silo
Line 852:
=== [hex] [humorous] kijetesantakalu polinpin sutopatikuna, tan jan Kita ===
<blockquote
10<sub
B<sub
C<sub
D<sub
E<sub>16</sub> - ku<br />
F<sub>16</sub> - na
Line 866:
69420<sub>10</sub> - 10F2C<sub>16</sub> - je ki na te pa
</blockquote>
</blockquote>
notes:
=== [tetroctal] tan jan Kita ===
<blockquote
<pre>0 1 2 3 - pu po pa pe
4 5 6 7 - tu to ta te
Line 885:
O P Q R - nu no na ne
S T U V - pi ki si ni</pre>
<blockquote>
69420<sub>10</sub> - 23PC<sub>32</sub> - pa pe no lu - pawenolu - nanpa Pawenolu (or nanpa Japenolu becuase there's a <code>p</code> in the <code
</blockquote>
</blockquote>
notes:
* you can turn this into hex by leaving blank either the most significant bit (<code>p</code>/<code>t</code>/<code>k</code>/<code>l</code>) or middle bit (<code>p</code>/<code>k</code>/<code>s</code>/<code>n</code>), the former is more logical but the latter is somewhat more distinct
=== [decimal] lojban, tan jan Tepo ===
<blockquote
1 li pa<br>
2 li le<br
3 li si<br
4 li po<br>
5 li nu<br>
6 li ka<br>
7 li se<br>
8 li wi<br>
9 li so<br
la 32768 li silesekawi
</blockquote>
=== [senary] [signed digits] [half humorous] nasin nanpa kijetesantakalu pona, tan jan Meje ===
2023-05-10, [https://thoughtsofmine.ca/posts/nasin-nanpa-kijetesantakalu-pona/ blog post]<blockquote>''nasin nanpa kijetesantakalu pona'' is a numbering system in toki pona which uses the syllables of the word “kijetesantakalu” to represent the digits (-3 to 3) of a signed-digit Senary number, in the order of highest-to-lowest digits.
The digits are represented as follows:
1: "nanpa te"
4: "nanpa ta ki"
75: “nanpa ka ki je”</blockquote>
== hybrid ("four hundred two ten") ==
=== [quinary] [pu words] tan jan Wija ===
2021-02-02, [https://discord.com/channels/301377942062366741/375591429608570881/806167587904815114 message], [https://pad.snopyta.org/uploads/upload_1bbbce1755a78c6c5d42f12022c55019.png screenshot]<br />
because why the heck does
<blockquote>
2 - tu<br />
3 - tu wan<br />
4 - tu tu<br />
5 - luka<br />
10 - luka tu<br />
15 - luka tu wan<br />
25 - luka luka<br />
etc.<br />
use &
<blockquote>
11 - luka tu poka wan<br />
69 - luka luka tu poka luka tu wan poka tu tu<br />
420 - luka luka luka tu wan poka luka luka poka luka tu tu
</blockquote>
Line 963 ⟶ 962:
2021-01-02?, [https://discord.com/channels/301377942062366741/375591429608570881/795048259902373928 message], [https://pad.snopyta.org/uploads/upload_7edc8bb1c91f6e2b0ca09ac588ae3534.png screenshot]; the sender is kule epiku Atawan, but soweli nata says it's actually by jan Inwin: [https://discord.com/channels/301377942062366741/801813222239633508/821932376573607976 message], [https://pad.snopyta.org/uploads/upload_ac6bfd92792199ad822f51a23826000f.png screenshot]
<blockquote>
* = optional if ppl feel like being more &
1 - wan<br />
2 - tu<br />
3 - san<br />
4 - neja / po*<br />
5 - luka
10<sub>6</sub> - kulu[pu*]<br />
11<sub>6</sub> - likujo [/kulu wan]<br />
12<sub>6</sub> - kulu tu
20<sub>6</sub> - tu kulu<br />
24<sub>6</sub> - tu kulu neja
<blockquote
30<sub>6</sub> - san kulu<br />
40<sub>6</sub> - neja kulu<br />
43<sub
50<sub
55<sub
</blockquote>
100<sub>6</sub> - kukulu<br />
153<sub>6</sub> - kukulu luka kulu san<br />
200<sub
1000<sub>6</sub> - kukukulu<br />
10000<sub>6</sub> - kukukukulu
Line 1,002 ⟶ 1,001:
2021-10-10, [https://www.reddit.com/r/tokipona/comments/q5cfqv/nasin_nanpa_pi_pi_nanpa_pi_toki_pona/ reddit post], there are more examples there. Two rules:
*
<blockquote
Digits:<br />
0 - ala<br />
Line 1,010 ⟶ 1,009:
2 - tu<br />
3 - tu wan<br />
4 - tu tu<br />
5 - luka<br />
6 - luka wan<br />
7 - luka tu<br />
8 - luka tu wan<br />
9 - luka tu tu<br />
Examples:<br />
22 - tu, tu<br />
Line 1,022 ⟶ 1,021:
121 - wan, tu, wan<br />
1500 - wan, luka, ala, ala
</blockquote>
<blockquote>
</blockquote>
<blockquote>
-27 = weka tu, luka tu<br />-100 = weka wan pi tu<br />-4.71 = weka tu tu, luka tu, wan pi
91 = wan weka wan wan (91 = 100 - 10 + 1)
Line 1,040 ⟶ 1,039:
=== [decimal] [https://sites.google.com/view/toki-ma/morphology-and-syntax#h.ze2mv82fnbi toki ma] (old) ===
<blockquote
1 - wan<br />
2 - tu<br />
Line 1,052 ⟶ 1,051:
9 - luka po
13 - ten san<br />
30 - san ten<br />
Line 1,060 ⟶ 1,059:
420 - po kenta tu ten
</blockquote>
×1000 - mila<br />
10 000 - ten mila<br />
100 000 - kenta mila<br />
×1 000 000 - mijon<br />
×1 000 000 000 - mila mijon<br />
×1 000 000 000 000 - mijon mijon
<blockquote
</blockquote>
</blockquote>
=== [decimal] toki ma (new) ===
<blockquote
2 - tu<br />
3 - san<br />
4 - po<br />
5 - lima<br />
6 - sesi<br />
7 - sepen<br />
8 - oto<br />
9 - newen
13 - ten san<br />
30 - san ten<br />
100 - kenta
<blockquote
</blockquote>
×1 000 000 - meka<br />
×1 000 000 000 - kika
Line 1,101 ⟶ 1,100:
</blockquote>
% (= /100) - senti
</blockquote>
=== [decimal] toki pona epansa ===
<blockquote
2 - tu<br />
5 - luka<br />
Line 1,115 ⟶ 1,114:
×1000 - mila
3/5 - tu wan pi luka
<blockquote
1972 - mila luka tu tu kento tu wan luka en noka luka luka tu<br />
7 000 000 000 - luka tu mila mila mila<br />
3.14 - tu wan en nanpa wan nanpa tu tu<br />
70% - tu wan luka en noka luka luka pi kento
</blockquote>
</blockquote>
=== [decimal] [pu words?] pi kulupu Si, tan jan Lentan ===
<blockquote
×100 - mute Eto<br />
×1000 - mute Kilo<br />
×10^6 - mute Meka<br />
×10^9 - mute Kika<br />
×10^12 - mute Tela
<blockquote
</blockquote>
</blockquote>
=== [hexadecimal] [binary] hex/binary hybrid system, tan jan Pensa ===
<blockquote
2 - tu<br />
4 - po<br />
8 - ka
256 - lala<br />
4096 - nene
Numbers up to 15 work additively (15 = ka po tu wan). These correspond with heximal digits or 4 bit chunks of binary numbers. When placed in front of the higher numbers they multiply.
<blockquote
1024 = po lala = 4*256<br />
80 = po wan sisi = (4+1)*16<br />
100 = po tu sisi po = (4+2)*16 + 4
360 <span style="font-size:0.85em">(hexadecimal: 168)</span> = lala po tu sisi ka<br />
32 800 <span style="font-size:0.85em">(hexadecimal: 8020)</span> = ka nene tu sisi<br />
1984 <span style="font-size:0.85em">(hexadecimal: 7C0)</span> = po tu wan lala ka po sisi
</blockquote>
This is enough for 16 bit binary or 4 digit hexadecimal, which goes up to 65 535.
junlan - 16<sup
onwin - 16<sup
<blockquote>
Line 1,184 ⟶ 1,183:
= (256 + 4*16)*65536 + 3*4096 + 2*16 + 8
</blockquote>
(po tu wan lala ka po sisi → PTWL-KPS)
* ka - a priori, made to sound similar to tu and po. (All plosives and back(ish) vowels.)
* sisi ← sisin ← sixteen
* lala ← Maori ''rua rau'' (two hundred)
* nene ← nena (i.e. a heap/mountain of stuff. And I hadn't used the letters n or e yet.)
* mensan ← lensan ← lesa ← Javanese ''leksa'' (ten thousand)
* junlan ← kunlan ← kunla ← Javanese ''gulma'' (billion)<br />
(first letters of mensan and junlan were changed to have unique first letters)
* onwin - a priori, from letters I hadn't used much yet
</blockquote>
notes:
* very impractical for everyday use
=== [decimal] [humorous] [pu words] nomper, tan jan Kita tan ijoj Ponsi ===
Line 1,208 ⟶ 1,207:
<blockquote>
1 - sewi (won)<br />
2 - tawa (to)<br />
3 - ken (free)<br />
4 - tan (for)<br />
5 - wawa (vive)<br />
6 - unpa (sex)<br />
7 - akesi (serpent)<br />
8 - moku (ate)<br />
9 - mi (mine)
11 - awen (a living)<br />
12 - ala (doesn't)
x * 10 - x telo (tea)<br />
exceptions for the above:
<blockquote
</blockquote>
</blockquote>
=== [pu words] [self documenting?] [centesimal (base 100)] nasin nanpa pona, tan jan Kapilu tan jan Tepo ===
2021-07-24, [https://discord.com/channels/301377942062366741/340307145373253642/868547968922431518 message], [https://wyub.github.io/tokipona/nasinnanpapona documentation in toki pona], [https://wikipesija.org/wiki/nasin_nanpa_pona Wikipesija]
<blockquote>
numbers up to 100 are same as pu advanced:<br />
1 - wan<br />
2 - tu<br />
5 - luka<br />
20 - mute
100 - wan ale, ale<br />
200 - tu ale, ale ale<br />
10000 - wan ale ale<br />
69420 - luka wan ale mute mute mute mute luka luka tu tu ale mute
it is possible to ignore this and just say &
</blockquote>
notes
* epiku
=== [henpentahexasnaoctoctal (base 1984)] [humorous] nasin nanpa owe, tan ijo Son ===
<blockquote
1 - wan<br />
2 - tu<br />
Line 1,274 ⟶ 1,273:
100 - ale
1984 - wan owe, owe<br />
3936256 - wan owe owe<br />
7884419 - tu owe luka wan owe tu wan
</blockquote>
notes
* the exact same as [[#pu-words-self-documenting-centesimal-base-100-nasin-nanpa-pona-tan-jan-Kapilu-tan-jan-Tepo|nasin nanpa pona]], but instead of using 100 as its base, it uses 1984.
* if there is anything i didn't cover it's probably the same as nasin nanpa pona
* o kama sona e nasin nanpa pona
=== [seximal] nasin nanpa pipi ===
<blockquote>
numbers from one to six:<br />
1 - soko (one leg)<br />
2 - waso (two legs)<br />
3 - waso soko (three legs)<br />
4 - soweli (four legs)<br />
5 - soweli soko (five legs)<br />
6 - pipi (six legs)
numbers above 6 work like Japanese or Mandarin: you say the digit 1-5 followed by the power of 6 given by the number of &
10 - soko pipi soweli<br />
17 - waso soko soweli soko<br />
36 - soko pipi pipi<br />
42 - soko pipi pipi soko pipi<br />
100 - waso pipi pipi soweli pipi soweli
</blockquote>
<ul
<li
<blockquote
<p
* maximally cute
== other ==
Line 1,320 ⟶ 1,319:
<blockquote>
1 - wan<br />
2 - tu<br />
3 - mute
Line 1,330 ⟶ 1,329:
notes:
* extends infinitely to higher numbers
=== [pu words] double-increment system / nasin nanpa pi nimi tu, tan jan Poli ===
nanpa
| &
| nanpa &
| nanpa
<blockquote
2 - tu<br />
3 - tu wan<br />
4 - tu tu<br />
5 - tu tu wan<br />
6 - tu wan tu<br />
7 - tu wan tu wan<br />
8 - tu tu tu<br />
9 - tu tu tu wan<br />
10 - tu tu wan tu<br />
100 - tu wan tu tu tu wan tu tu
</blockquote>
Note that "wan wan" is illegal, and "wan tu" is replaced with "tu" at the start of a number phrase.
notes:
* Can count arbitrarily high
* Convertible to and from binary using only simple replacement rules
* Uses only nimi pu
* Preserves the pu meanings of "wan", "tu", "tu wan", and "tu tu"
=== [pu words] multiplicative kulupu's, tan jan Ke Tami ===
<blockquote>
1 - wan<br />
1 - tu<br />
3 - tu wan<br />
4 - tu tu<br />
5 - luka<br />
10 - luka luka<br />
20 - mute<br />
100 - ale<br />
1000 - luka luka pi kulupu ale
wan pi kulupu wan=wan<br />
tu pi kulupu wan=tu<br />
wan pi kulupu tu=tu<br />
tu pi kulupu tu=tu tu<br />
...<br />
wan pi kulupu luka luka=luka luka<br />
tu pi kulupu luka luka=mute<br />
tu tu pi kulupu luka luka=mute mute<br />
...<br />
luka luka pi kulupu ale=ale ale ale ale ale ale ale ale ale ale
Line 1,398 ⟶ 1,397:
</blockquote>
</blockquote>
=== [pu words] [self-documenting] analogy-based, tan jan Lonka ===
<blockquote
all numbers are based on the amount of other things<br />
~8 - pi mute pi mun suli<br />
~125 - pi mute nimi<br />
~100k - pi mute pi linja lawa<br />
~A Lot - pi mute (pi) suno lili
</blockquote>
notes:
* similar discussion [https://discord.com/channels/301377942062366741/375591429608570881/748341016255397918 here]
=== [pu words] &
2021-01-07, [https://www.reddit.com/r/tokipona/comments/ks2cex/my_new_number_system_an_implementation_of_binary/ reddit post]
<blockquote>
1 - wan<br />
2 - tu<br />
4 - tu tu<br />
8 - tu tu tu<br />
16 - tu tu tu tu
5 jans - jan tu tu en jan wan (anu, jan wan en jan tu tu)<br />
13 jans - jan tu tu tu en jan tu tu en jan wan
Line 1,443 ⟶ 1,442:
<blockquote>
same as pu advanced, but:<br />
10 - 2*5 - tu luka<br />
15 - 3*5 - tu wan luka
Line 1,454 ⟶ 1,453:
=== pi kalama nasa, math-based, tan akesi kon Nalasuni ===
<blockquote
2 - w<br />
3 - k<br />
4 - p<br />
5 - l<br />
6 - n<br />
Line 1,468 ⟶ 1,467:
= - a<br />
+ - e<br />
- - o<br />
/ - u
<blockquote>
42 - 6*7= - nima<br />
42 - 5*8+2= - litewa<br />
42 - 6+6+6+6+6+6+6= - nenenenenenena
</blockquote>
</blockquote>
=== sitelen pi jan pi ma Maja, tan moku Pan Nasa ===
Line 1,485 ⟶ 1,484:
<blockquote>
jan pi ma Maja li pana e sona tawa mi. It is base 20 where<br />
. ~ nanpa wan<br />
o ~ nanpa ala
So... 169 = l:. l::<br />
notes:
</blockquote>
* the difference between 105 (l l) and 10 (ll) is just a space
=== [humorous] nanpa nanpa, tan jan Julia kule ===
Line 1,500 ⟶ 1,499:
<blockquote>
2: nanpa<br />
3: nanpa<br />
100: nanpa<br />
any number: nanpa
</blockquote>
=== nasin nanpa pi nanpa sewi, tan jan Solija ===
Line 1,515 ⟶ 1,514:
<blockquote>
1 - wan<br />
2 - tu<br />
3 - san<br />
4 - po<br />
5 - luka<br />
6 - ena<br />
7 - jesi<br />
9 - no
All other numbers are defined multiplicatively. Except that &
21 - jesi san<br />
69 - po po wan po wan (4*4+1=17, 17*4+1=69)<br />
420 - jesi luka po san
</blockquote>
=== [decimal] [pu words] [humorous] [self-documenting] lipu pi ike sona ale ===
<blockquote>
"lipu pi ike sona ale"
</blockquote>
<blockquote>
toki!
</blockquote>
<blockquote>
</blockquote>
<blockquote>
moli li pona, moli li lon.
</blockquote>
<blockquote
</blockquote>
<pre>nanpa E li jo ale e nanpa I. nanpa I li jo ale e nanpa U. nanpa U li jo ale e ale.
Line 1,562 ⟶ 1,561:
nanpa O li jo ale e nanpa A ale. nanpa A li jo ale e ale. nanpa E.</pre>
<blockquote>
</blockquote>
<pre>nanpa sina li utala e nanpa ante la nanpa sina li kama e ni: nanpa li jo nanpa sina e nanpa ante.
Line 1,573 ⟶ 1,572:
nanpa tu li suli e nanpa tu wan la nanpa tu li kama e nanpa luka tu wan.</pre>
lipu tu: &
<pre>nanpa sina li moku e nanpa ante la nanpa sina li kama e nanpa sin.
Line 1,580 ⟶ 1,579:
nanpa luka luka li moku e nanpa Googol la nanpa sin li nanpa ale.</pre>
<blockquote
lipu tu wan:
</blockquote>
<pre>nanpa sina li jo e nanpa lili la nanpa lili ona luka luka li nanpa sina wan.
Line 1,591 ⟶ 1,590:
This is a mixed radix multiplicative numbering system for toki pona made by me, jan Lomu (Rome#3129). I've made a google doc of it, that is essentially the below: [https://docs.google.com/document/d/1wESh0MnyUlVXQj8TiuxdW5PT68WBJgMe2bAYB-VJPJQ/edit?usp=sharing gdoc]
The crux of this system is that, when a lesser numeral precedes a greater numeral, or if two of the same numeral concatenate, they are multiplied. If the inverse occurs, they are simply added. This employs order of operations, multiplication is first, so “ali tu luka” is not 100 + 2 + 5, rather 100 + (2 * 5). This system is a mixed radix, so the different positions, rather than being powers of one base, are actually three distinct numbers: 5, 20, and 100. Any number in this system could potentially be represented in the style of [ale : mute
<blockquote
one, two, three, four, five
luka wan, luka tu, luka san, luka po, tu luka<br />
six, seven, eight, nine, ten
tu luka wan, tu luka tu, tu luka san, tu luka po, san luka<br />
eleven, twelve, thirteen, fourteen, fifteen
san luka wan, san luka tu, san luka san, san luka po, mute<br />
sixteen, seventeen, eighteen, nineteen, twenty
twenty-one, twenty-two, twenty-three, twenty-four, twenty-five
</blockquote>
<blockquote
thirty
</blockquote>
<blockquote
ninety-eight, ninety-nine, one hundred
one hundred one, one hundred two, one hundred three, one hundred four, one hundred five
</blockquote>
<blockquote>
ali ali<br />
ten thousand
</blockquote>
<blockquote
nine hundred eighty-five [985]
</blockquote>
<blockquote>
po ali tu mute tu luka san [4:2:2:3]<br />
four hundred fifty-three [453]
</blockquote>
<blockquote>
mute po ali tu mute san luka san [24:2:3:3]<br />
two thousand four hundred fifty-eight [2458]
</blockquote>
<blockquote>
tu mute luka po ali tu luka wan [49:0:2:1]<br />
four thousand nine hundred eleven [4911]
</blockquote>
* con: somewhat complex, not necessary unless one needs to easily represent large numbers
=== [pu words] [any base] multiplicative with digit sets ===
Line 1,654 ⟶ 1,653:
<blockquote>
* <code>lon</code> marks the difference between numbers and digits
* <code>nanpa</code> is required before
* in order to reduce ambiguity, counts of things always go at the end of an item's description
'''numbers'''
Line 1,689 ⟶ 1,688:
mute tu wan = XXX,000,000
mute tu tu = XXX,000,000,000 and so on...</pre>
nanpa luka tu wan lon mute tu wan = 8,000,000<br />
nanpa wan lon mute tu, luka lon mute wan = 2,005<br />
nanpa wan sin sin sin sin luka = 20,005 (specifying a digit set isn't necessary for smaller numbers!)<br />
nanpa luka tu sin tu sin tu wan sin wan sin = 72,310 (it does get long after a while)
mi pali e len lawa nanpa wan sin lon mute tu. -&
</blockquote>
'''pros'''
* allows for general ideas of numbers to be much more concise than specific numbers, but allows specific numbers to be represented if needed
* allows for fractional and negative numbers
* uses purely pu words and a (mostly) familiar additive system with <code>sin</code> representing a clear purpose
* adaptable to any base even though decimal is used for the examples
=== [bijective quinary] [ku words] ===
quinary with a digit for 5 but not 0
<blockquote>
2 - tu (2)<br />
3 - san/tuli (3)<br />
4 - po (4)<br />
5 - luka (5)<br />
6 - wan wan (11)<br />
7 - wan tu (12)<br />
...<br />
10 - wan luka (15)<br />
11 - tu wan (21)<br />
...<br />
30 - luka luka (55)<br />
31 - wan wan wan (111)
</blockquote>
'''cons:'''
* not backwards compatible
* no way to talk about orders of magnitude, stuck at maximum precision since digits (quigits?) are just listed in order
=== [decimal] nasin nanpa pi toki pona li ike la waso Pini li pali e ni. nimi pi nasin nanpa ni li &
''2022-03-07 - waso Pini''<br />
<blockquote>
'''Numbers'''<br />
1 - wan<br />
2 - tu<br />
3 - san<br />
4 - po<br />
5 - luka<br />
6 - si<br />
7 - se<br />
8 - juli<br />
Line 1,764 ⟶ 1,763:
10 - ten
'''Place Numbers'''<br />
Ones - wan<br />
Tens - ten<br />
Hundreds - sepe<br />
Thousands - kile<br />
Millions - mile<br />
Billions - pile<br />
Trillions - sansile<br />
Quadrillions - kasile<br />
Quintillions - lukasile<br />
Sextillions - sisile<br />
Septillions - sesile<br />
Octillions - julisile<br />
Nonillion - ninsile<br />
Decillion - tensile
'''Syntax'''<br />
(place section)place number(li)digit(repeat)<br />
''e.g. 525,600 is written as kile sepe li luka. kile ten li tu. kile wan li luka. sepe li si.''
To make a number negative add the phrase &
''e.g. -525,600 is written as pini nun la kili sepe li luka. kili ten li tu. kili wan li luka. sepe li si''
'''Notes'''<br />
Any examples shown aren't the only way to say numbers and there can be multiple
Line 1,802 ⟶ 1,801:
<blockquote>
'''Numbers'''<br />
1 - wan<br />
2 - tu<br />
3 - san<br />
4 - po<br />
5 - luka<br />
6 - si<br />
7 - se<br />
8 - juli<br />
9 - nin<br />
0 - nun<br />
10 - ten
Line 1,817 ⟶ 1,816:
'''Notes'''<br />
Numbers are written digit by digit with no place numbers.<br />
</blockquote>
=== [self-documenting] [pu words] full-sentence instructions for how a large number would be written down, tan jan Kuka ===
<blockquote
</blockquote>
<blockquote
</blockquote>
<blockquote
14,568,883,000,000,003 - jan li wile sitelen e nanpa ni la, ona o sitelen e wan, e tu tu, e tu tu wan, e luka wan, e luka tu wan, e luka tu wan, e luka tu wan, e tu wan. tenpo ni la, ona o sitelen e ala lon tenpo luka tu wan. tenpo ni la, ona o sitelen e tu wan, o pini sitelen.
</blockquote>
Note that these are just examples of how these instructions can be phrased. Any phrasing that provides clear and unambiguous instructions would work. One simple example of how the above descriptions can be slightly simplified might be:
<blockquote
</blockquote>
<blockquote
</blockquote>
<blockquote
</blockquote>
=== [decimal] [pu words] [self-documenting] order of magnitude, tan jan Kita ===
<blockquote
10-99 - mute pi sitelen tu<br />
100-999 - mute pi sitelen tu wan<br />
etc.
</blockquote>
=== [decimal] [pu words] order of magnitude 2, tan jan Kita ===
2022-06-09
<blockquote>
10-99 - mute mute<br />
100-999 - mute mute mute<br />
etc.
</blockquote>
Line 1,871:
<blockquote>
3-9 - mute<br />
10-29 - mute mu<br />
30-99 - mute mute<br />
etc.
</blockquote>
|