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{{Experimental}}
{{Other license|ask|the maintainer didn't specify a license for contributors}}
{{Imported from|[https://pad.snopyta.org/s/B1Os9fO5P pad.snopyta.org]}}
there are no good number systems <s>(except [[nnp|nasin nanpa pona]])</s>
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=== [binary] true binary counting system, tan jan Pensa ===
License for this section: [https://creativecommons.org/publicdomain/zero/1.0/ CC0 1.0 Universal Public Domain Dedication]
<blockquote>
Made up as a way to more intuitively understand how binary counting would work, based how decimal counting works in most languages. A Toki Pona style additive counting system turned out to be perfect for that.
1 - wan<br />
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* ome ← back derivation from omekapo, 'cause it's musi
See also [[#
</blockquote>
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(2020-04-06, revised 2021-07-21)<br />
inspired by the north england sheep-counting rhyme "[https://en.m.wikipedia.org/wiki/Yan_tan_tethera Yan Tan Tethera]". the only
while counting your sheep (or knitting stitches) you simply recite this 20 word semi-nonsensical poem. whenever you get to "ma" you just score a stick with a sharp rock and start over. then each literal score represents a numerical score, a group of 20. its so easy! be sure to count heads frequently and not overgraze the commons!
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== positional ("four two zero") ==
=== [
2020-08-08, <code>.qid 1217493</code>, [https://discord.com/channels/301377942062366741/545467374254555137/741505607361757205 message], [https://pad.snopyta.org/uploads/upload_f5cca0f50abbfad0ddc4ca9fed701b12.png screenshot]
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</blockquote>
=== [
2021-01-07, [https://discord.com/channels/301377942062366741/375591429608570881/796616928327761981 message], [https://pad.snopyta.org/uploads/upload_f2cfcad0131395e734d16ce8776f0f9c.png screenshot]
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</blockquote>
=== [
<blockquote>
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</blockquote>
=== [
2021-16-09<br />
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</blockquote>
=== [
<blockquote>
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=== [
2020-12-03, [https://discord.com/channels/301377942062366741/301377942062366741/784123100111044699 message], [https://pad.snopyta.org/uploads/upload_1746bccda8500ac5bff9c19f282a34a1.png screenshot]
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</blockquote>
=== [
2020-12-04, [https://discord.com/channels/301377942062366741/375591429608570881/784275774676271135 message], [https://pad.snopyta.org/uploads/upload_a459c48cb348735d0d29af21b4af2ab6.png screenshot]; [https://discord.com/channels/301377942062366741/301377942062366741/792154183327023104 extra notes], [https://pad.snopyta.org/uploads/upload_9a89589da9f9004f67fd2d5a84286865.png screenshot]
<blockquote>
0 - /
1 - /
2 - /
3 - /
4 - /
5 - /
. - /'
the stress is unmarked in written form, for [https://discord.com/channels/301377942062366741/301377942062366741/784123704833343508 efficiency] ([https://pad.snopyta.org/uploads/upload_c0259ffcc7f7d4c354575a6ff98f26ea.png screenshot]) and to follow the spirit of <code>omekapo</code>
<blockquote>
kijetesantakalu kijetesantakalu - 30
</blockquote>
</blockquote>
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* endorsed by sonja lang! [https://discord.com/channels/301377942062366741/599425762990358528/797715687509721108 message], [https://pad.snopyta.org/uploads/upload_01be4a41109df9df7c6648d0650f801c.png screenshot]
=== [
2021-08-13
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* nanpa ki li pona mute a!
=== [
2021-04-02
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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:
* “ki”: ''-3''
* “je”: ''-2''
* “te”: ''-1''
* “san”: ''0''
* “ta”: ''1''
* “ka”: ''2''
* “lu”: ''3''
1: "nanpa te"
4: "nanpa ta ki"
75: “nanpa ka ki je”</blockquote>
== hybrid ("four hundred two ten") ==
=== [decimal] [pu words] nasin nanpa Wan, tan jan Tamalu ===
Improved version over [https://sona.pona.la/wiki/nasin_nanpa_ali_ike#[decimal]_[pu_words]_nanpa_Pi,_tan_jan_Tamalu nasin nanpa Pi]
'''Digits (reason below):'''
0=<code>ala</code>, 1=<code>wan</code>, 2=<code>tu</code>, 3=<code>sin</code>, 4=<code>lipu</code>, 5=<code>luka</code>, 6=<code>pan</code>, 7=<code>len</code>, 8=<code>mama</code>, 9=<code>suli</code>
'''At any point, spell the digits. Use mute before a number to introduce a cardinal number, if necessary. Use pi to introduce scientific notation XYZ pi W = X.YZ *10^W (first digit has weight 10^W).'''
10 = <code>wan ala</code>, 15 = <code>wan luka</code>, 73 = <code>len sin</code>, 984 = <code>suli mama lipu</code>, 100 = <code>wan pi tu</code>
602,200,000,000,000,000,000,000 = <code>pan ala tu tu pi tu sin</code> (approximation of Avogadro's constant)
1.79 = <code>wan len suli pi ala</code> (someone's height in meters)
In these offices there are 73 people =<code>jan pi mute len sin li lon tomo pali ni</code>
'''Finally, use weka before a number to add a negative sign. Use en to add numbers, as usual. You can compound pi's. It associates on the right X pi (Y pi Z)'''
-66 = <code>weka pan pan</code>
0.075 = <code>len luka pi weka tu</code> (daily recommended grams of intake per day of vitamin C for a 19-30 y.o. female)
6.62*10^−34 = <code>pan pan tu pi weka sin lipu</code> (~planck's constant)
-0.001 = <code>weka wan pi weka sin</code>
1,000,282 = <code>wan pi pan en tu mama tu</code>
10^80 = <code>wan pi mama pi tu</code> = estimation of number of atoms in the universe 100000000000000000000000000000000000000000000000000000000000000000000000000000000
10^(10^(100)) = <code>wan pi wan pi wan ala ala</code> (a googolplex)
''Feel free to use the additive system with wan, tu, luka, if mute was not added at the beginning:''
<code>jan tu tu ni li jan pona mi.</code>
<code>jan ni pi mute lipu li jan pona mi.</code>
'''Reason for digit choices:'''
0,1,2,5 are common.
3 <code>sin</code>, 4 <code>lipu</code>, 6 <code>pan</code>, 7 <code>len</code>: number of strokes in sitelen pona (and <code>len</code> is like lipu with 3 extra lines)
8 <code>mama</code>: sitelen pona is two circles as an 8 is.
9 <code>suli</code>: it's the largest of all digits.
=== [quinary] [pu words] tan jan Wija ===
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=== [decimal] [pu words] nanpa Pi, tan jan Tamalu ===
2021-10-10, Extended explanation in the [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:
* '''''A) List the number's digits in decimal one after the other. Use commas to separate them (pauses when speaking). A comma can be omitted if there is no ambiguity. Optionally you can have "a" instead of comma. Digits use additivity like in the following. Each digit uses words in decreasing order to reduce ambiguity.'''''
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1500 - wan, luka, ala, ala
</blockquote>
* '''''B) Optionally, say digitsA + pi + digitsB. This is interpreted as: The "weight" of the first digit in
<blockquote>
1500 = wan luka pi tu wan<br />1,400,000,000,000 (1.4 trillion) = wan, tu tu pi wan, tu<br />Approximation of Avogadro's constant:<br />602,200,000,000,000,000,000,000 = luka wan, ala, tu, tu pi tu, tu wan <br />1.79 = wan, luka tu, luka tu tu pi ala<br />50.3 = luka, ala, tu wan pi wan
</blockquote>
<code>pi</code> is used because when you say 2000 you are saying the two of the third (power of ten) that is tu pi tu wan.
* '''''C) Extra rule (can be ignored). Use weka at the beginning of a list of digits as a minus sign. It can go both before <code>pi</code> and after <code>pi</code>. weka in the middle means the digit is negative'''''
<blockquote>
-27 = weka tu, luka tu<br />-100 = weka wan pi tu<br />-4.71 = weka tu tu, luka tu, wan pi ala<br />0.0082 = luka tu wan, tu pi weka tu wan <br />0.000000000001 = <code>wan pi weka wan, tu</code> ( 10^(-12) )<br />-0.033 = <code>weka tu wan tu wan pi weka tu</code>
</blockquote>
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=== [hexadecimal] [binary] hex/binary hybrid system, tan jan Pensa ===
License for this section: [https://creativecommons.org/publicdomain/zero/1.0/ CC0 1.0 Universal Public Domain Dedication]
<blockquote>
Expanded version of [[#
1 - wan<br />
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</blockquote>
=== [pu words]? nasin nanpa mu (tan jan Sipiki) ===
numbers are treated as names in this system
headnouns:<blockquote>mute - amounts, quantities, cardinal numbers
nanpa - orders, placements, ordinal numbers</blockquote>
===== name construction =====
<p />
each prime lower than 17 gets its own syllable. these are multiplied together to get the final number.<blockquote>2 - tu
3 - sa
<p />5 - lu
7 - si
<p />11 - pe
13 - ke</blockquote>to say primes over 13, or composite numbers with prime factors over 13, use the prefix "wa", meaning "the next prime". this can be chained as many times as you want to get any arbitrarily high prime number.
===== examples =====
<blockquote>mute Satu - 6
nanpa Lutu - 10<sup>th</sup>
mute Pe - 11
mute Pepe - 121
<p />mute Wawake - 19<p />
mute Wawawawawawawawawaketu - 94</blockquote><p />pros:
<ul /><li />names of numbers are highly descriptive of their properties
<li />great complement to nasin nanpa pona (many larger numbers are easier to say)
<li />technically only pu words
<li />yummy nice numbers are easy to say
<li />no ambiguity
<p />cons:
<ul /><li>hard to count with</li>
<li>math (ew)</li>
<li />gross numbers (numbers with large prime factors) have 29 syllables
<p />if you are the kind of person to want to do '''linear algebra''' in ''<b />toki pona'', then this is the system for you ig
[[Category:Number systems| ~]]
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