My new publication: "A Beginner's guide to dozenal"

(cover)

I am pretty sure that a few of my viewers are confused about the dozenal system in general, so if you are unsure what dozenal is, then click here to see my publication.

Remembering the Twozeenth Biquennium

This is more to do with history, and less with dozenal.

Not commonly known, but as with centuries in decimal, Years that end in 00 in dozenal are the last ones of the biquenniums, and the year after is the start of the new one (yes, this means you celebrated the 3rd millennium a year early :( ). This is because there is no year 0 in the AD numbering system

The 12th Biquennium is a period that lasted from 1101 (1873) until 1200 (2016)

Here is a timeline (based on Wikipedia data):

• 1101 - The panic of 1101 (more commonly known as The panic of 1873) starts the "Long Depression"
• 1101 - The samurai class is abolished in Japan
• 1101 - Blue Jeans and Barbed Wire were invented
• 1102 - The Home Rule Movement is established in Ireland
• 1102 - The British East India Company is dissolved
• 1102-1103 - First Republic in Spain
• 1103-1124 - 8;8 dillion Indians perish due to famine
• 1104 - Queen Victoria becomes Empress of India
• 1104-1107 - 4;4 dillion Chinese die of famine
• 1105 - The Great Railroad Strike could have been the US's first nationwide labour strike
• 1105 - Asaph Hall discovers the moons of Mars
• 1105- Thomas Edison invents the Phonograph
• 1107 - Anglo-Zulu War in South Africa
• 110X - The UK occupies Egypt
• 110E - Treasure Island is Published
• 1110 - Huckleberry Finn is Published
• 1110 - Machine Gun is Invented
• 1110-1111 - Scramble for Africa
• 1112 - First commercial Automobile
• 1115 - Eiffel Tower is inaugurated in Paris
• 1115 - Brazilian Empire ends, becomes a republic
• 1115 - Asprin is Patented
• 1116 - Death of Vincent Van Gogh
• 1116 - Cardboard Box Invented
• 1118 - Basketball Invented
• 1119 - US takes Hawaii
• 1119 - New Zealand enacts Women's suffrage
• 111X - First Commercial Film
• 111E - Volleyball Invented
• 1122 - US gains Cuba, Puerto Rico, and The Philippines after Spanish-American War
• 1124 - Wizard of Oz Published
• 1125 - Australian Colonies Unite to a Single Government
• 1130 - Model T Released
• 1130 - First commercial radio stations
• 1132 - Japan Annexes Korea
• 1134 - Republic of China (now Taiwan) Established
• 1136 - World War 1 Starts
• 1139 - Start of Soviet Union
• 113X - World War 1 Ends
• 1140 - Prohibition starts in the US
• 1142 - Ireland Gains Independence
• 1144 - Vladimir Lenin Dies
• 1145 - Mussolini takes over Italy
• 1147 - Stalin Takes Power
• 1148 - Discovery of Penicillin
• 1149 - Great Depression starts
• 1150 - FDR becomes President
• 1151 - Hitler becomes Chancellor of Germany
• 1157 - Start of World War 2
• 1160 - D-Day
• 1161 - World War 2 Ends
• 1162 - Italy becomes a republic
• 1165 - Partition of Germany
• 1166 - Start of Korean War
• 1168 - Queen Elizabeth II Becomes Queen of the UK
• 1173 - Cuban Revolution
• 1177 - "I had a Dream" Speech
• 1177 - Kennedy Assassinated
• 1180 - MLK Assassinated
• 1181 - Moon Landings
• 1187 - Vietnam war ends
• 1188 - Apple started
• 118E - Smallpox Eradicated
• 1194 - HIV discovered
• 1199 - Fall of Berlin Wall
• 119X - Internet Invented
• 119E - Soviet Union Ends
• 11X0 - EU Starts
• 11X7 - Euro Introduced
• 11X9 - September E Attacks (More Commonly Known As September 11 Attacks)
• 11XE - Iraq war begins
• 11E7 - South Sudan becomes world's newest country
• 11EE - Liquid Water found on Mars
• 11EE - First close-up images of Pluto

Why I advise against calling the digit 'X' "dek"

Most people want to call the digit 'X' "Dek", but as you may (or may not) know, I would prefer "ten", and here is why:

It is pointless

I understand calling it dek if we call 10; "ten", but most dozenalists know that it is a bad idea to do such, as it would cause a lot of confusion. So why change the name?

It is sometimes a mouthful to say when in groups of numbers

Try: 1/7 (0;186X35186X35...)

(Though I propose 'E' to be "eleven", which is also bad for a digit, but it can be called "elv" to solve this problem)

It isn't really English

I do understand Latin 'decem' for prefixes, but I'd rather keep number names Germanic in origin

Final SI redefinition

Remember on my blog post a few months ago where I redefined SI in Cadent units like the Imperial was redefined in Metric

I said:

1 second is equal to 100/21 tems (so no change)

1 metre is equal to 3;46EX tandems

1 kilogram is equal to 0;56X067E pondus

I would like to adjust the value a bit.

The foot was defined as 3048 tenths of a millimetre, a number divisible by 12.

neither 346EX or 56X07E are divisible by ten, so this is why I am making a new redefinition:

1 second is equal to 100/21 tems (so no change)

1 metre is equal to 3;46EX0894 tandems

1 kilogram is equal to 0;56X0696 pondus

this way, millimetres and grams can still be even with Cadent units.

New Base Naming System

I created a new, systematic, consistent, and simpler naming system for number bases:

Base (dozenal)	Base Name
1	unary
2	binary
3	trinary
4	quadinary
5	pentinary
6	hexinary
7	septinary
8	octinary
9	ennary
X	decinary
E	levinary
10	unial
11	uniaunary
12	uniabinary
13	uniatrinary
14	uniaquadinary
15	uniapentinary
16	uniahexinary
17	uniaseptinary
18	uniaoctinary
19	uniaennary
1X	uniadecinary
1E	unialevinary
20	binial
21	biniaunary
22	biniabinary
23	biniatrinary
24	biniaquadinary
25	biniapentinary
26	biniahexinary
27	biniaseptinary
28	biniaoctinary
29	biniaennary
2X	biniadecinary
2E	binialevinary
30	trinial
31	triniaunary
32	triniabinary
33	triniatrinary
34	triniaquadinary
35	triniapentinary
36	triniahexinary
37	triniaseptinary
38	triniaoctinary
39	triniaennary
3X	triniadecinary
3E	trinialevinary
40	quadnial
41	quadniaunary
42	quadniabinary
43	quadniatrinary
44	quadniaquadinary
45	quadniapentinary
46	quadniahexinary
47	quadniaseptinary
48	quadniaoctinary
49	quadniaennary
4X	quadniadecinary
4E	quadnialevinary
50	pentnial

Dozenal Anniversaries for the year 1200

You know how people often do anniversaries like 10th, 15th, 20th, 25th, 50th, 100th, etc.

Although this year is almost over, it's not too late to celebrate things the dozenal way:

(all written numbers after this line are in base 12)

Things turning 30 in 1200

• Flash memory
• Nintendo Game and Watch
• CD's
• Handi-Snacks
• Cape Cod Potato Chips
• McChicken
• Pac-Man
• Richie Rich

Things turning 60 in 1200

• The word "Vegan"
•  Smokey the bear
• Orbit Gum

Things turning 90 in 1200

• Ford Model T
• Hydrox (inspired Oreo)
• Milk-Bone
• Breyer's Ice Cream

Things turning 100 in 1200

•  Vaseline

(I'd be surprised if you find any of them interesting)

Names for dozenal numbers: English, Spanish, French, German, and Hungarian

I came up with names for dozenal numbers in multiple languages.

Take note, I only know English, so I have to do my best with with the only tool I have: Google Translate, and then I will talk to people who know the language. I only consulted about Hungarian so far, so English and Hungarian are the only systems that are final.

I try to do some universal scheme with zen, duna, and trin, and it will sound somewhat similar to the current schemes for each language.

English

1: one
2: two
3: three
4: four
5: five
6: six
7: seven
8: eight
9: nine
X: ten
E: eleven
10: zen
11: onezeene
12: twozeene
13: threezeene
14: fourzeene
15: fivezeene
16: sixzeene
17: sevenzeene
18: eightzeene
19: ninezeene
1X: tenzeene
1E: elevenzeene
20: twozen
30: threezen
40: fourzen
50: fivezen
60: sixzen
70: sevenzen
80: eightzen
90: ninezen
X0: tenzen
E0: elevenzen
100: one duna
200: two duna
1'000: one trin
2'000: two trin
10'000: zen trin
100'000: one duna trin
1'000'000: one dillion
1'000'000'000: one bidillion
1'000'000'000'000: one tridillion

Spanish

1: uno
2: dos
3: tres
4: cuatro
5: cinco
6: seis
7: siete
8: ocho
9: nueve
X: diez
E: once
10: uncena
11: uncenuno
12: uncendos
13: uncentres
14: uncencuatro
15: uncencinco
16: uncenseis
17: uncensiete
18: uncenocho
19: uncenueve
1X: uncendiez
1E: uncenonce
20: vicena
30: trecena
40: cuarcena
50: cincena
60: seicena
70: sietecena
80: ochocena
90: nuevecena
X0: diecena
E0: oncena
100: duen
200: dosduentos
1'000: tril
2'000: dos tril
10'000: uncena tril
100'000: duen tril
1'000'000: un dillión
1'000'000'000: tril dilliones
1'000'000'000'000: un bidillión

French

French counts weird.

For numbers above sixty, they so something like:

70: Sixty ten
80: Four twenties
90: Four twenties ten

I could have done sevenzen as "sixzen zen", but I just completely eliminated that clause, and made it like every other language.

1: un
2: deux
3: trois
4: quatre
5: cinq
6: six
7: sept
8: huit
9: neuf
X: dix
E: onze
10: unzaine
11: unzaine et un
12: unzaine et deux
13: unzaine et trois
14: unzaine et quatre
15: unzaine et cinq
16: unzaine et six
17: unzaine et sept
18: unzaine et huit
19: unzaine et neuf
1X: unzaine et dix
1E: unzaine et onze
20: vizaine
30: trezaine
40: quaranzaine
50: cinquzaine
60: soixzaine
70: septzaine
80: huitzaine
90: neufzaine
X0: dixzaine
E0: onzezaine
100: duent
200: deux duent
1'000: trille
2'000: deux trille
10'000: unzaine trille
100'000: duent trille
1'000'000: un dillion
1'000'000'000: un dilliard
1'000'000'000'000: un bidillion

German

For zen, I kept it "dutzend", instead of shortening it because

* 10 is "zehn", and "zend" would sound similar
* "zehn" is also like "teen" in English (so i did "zend" as "zeene"), but German does either "zig" or "ßig" for "ty", and I could not find a suitable alternative except "dutz". (I really can't do suffixes that are proper German words because of how German combines words)


1: eins
2: zwei
3: drei
4: vier
5: fünf
6: sux
7: sieben
8: acht
9: neun
X: zehn
E: elf
10: dutzend
11: einszend
12: zweizend
13: dreizend
14: vierzend
15: fünfzend
16: suxzend
17: siebenzend
18: achtzend
19: neunzend
1X: zehnzend
1E: elfzend
20: zweidutz
30: dreidutz
40: vierdutz
50: fünfdutz
60: suxdutz
70: seibendutz
80: achtdutz
90: neundutz
X0: zehndutz
E0: elfdutz
100: einduna
200: zweiduna
1'000: eintrin
2'000: zweitrin
10'000: dutzendtrin
100'000: eindunatrin
1'000'000: eine dillion
1'000'000'000: eine dilliarde
1'000'000'000'000: eine bidillion

Hungarian

I made up a new word for 11: zégy (short for the current word: tizenegy. I was told it would sound better as é than an e).

1: egy
2: kettő
3: három
4: négy
5: öt
6: hat
7: hét
8: nyolc
9: kilenc
X: tíz
E: zégy
10: tucat
11: tucategy
12: tucatkettő
13: tucathárom
14: tucatnégy
15: tucatöt
16: tucathat
17: tucathét
18: tucatnyolc
19: tucatkilenc
1X: tucattíz
1E: tucatzégy
20: kétcet
30: háromcet
40: négycet
50: ötcet
60: hatcat
70: hetcet
80: nyolcat
90: kilencet
X0: tizcet
E0: zégycet
100: duáz
200: kétduáz
1'000: tizer
2'000: kétizer
10'000: tucatizer
100'000: duázizer
1'000'000: dillió
1'000'000'000: dilliárd
1'000'000'000'000: bidillió

Cadent-Metric conversions

Here are the current conversions:

1 tandem = 0.295696314978523 metres.

1 tem = 25/144 seconds (exactly (unlike TGM)).

1 pondus = 2.15448924485411 kilograms.

You can easily derive the rest of the units because both systems are coherent.

Final SI redefinition

When the SI is phased out in all sciences (it will most likely still be popular among the general public), I want it to be redefined in Cadent units, like the Imperial system had to be redefined in Metric.

I propose something like (all values dozenal):

1 second is equal to 100/21 tems (so no change)

1 metre is equal to 3;46EX tandems

1 kilogram is equal to 0;56X067E pondus

Official Cadent System brochure

This is the official brochure of the Internationalis Systematis Unitas (latin for "International Unit System"), official name of the Cadent System.

View

New Cadent System (different from TGM)

The other problem with TGM is that the maz or pondus is too large.

I modified the cadent system a bit where the pondus is 1/12 the old pondus.

Here is a table of SI conversion for old and new cadent systems

Field	Name	Old Cadent	New Cadent
Time	Tem	0.173611111	0.173611111
Acceleration	Cadere	9.810049408	9.810049408
Density	Densit	999.972	999.972
Tempereture	Aestus	0.000694444	0.000694444
Current	Fulger	0.495722069	0.495722069
Amount of substance	Toma	25850.35562	25850.35562
Velocity	Celer	1.703133577	1.703133577
Length	Tandem	0.295682913	0.295682913
Area	Spat	0.087428385	0.087428385
Volume	Cirduct	0.025851079	0.025851079
Mass	Pondus	25.85035562	2.154196302
Force	Vi	253.5932659	21.13277216
Pressure	Cura	2900.582763	241.7152302
Energy	Nixus	74.98319546	6.248599622
Power	Op	431.903206	35.99193383
Potential	Tia	871.2607998	72.60506665
Resistance	Luctor	1757.559034	146.4632528
Charge	Ictus	0.086062859	0.086062859

Leap Seconds

If you did not know, sometimes, 1 second is added to the day. I am going to say how this effects dozenal clocks.

There are 2 ways a computer can store dozenal time: Integer Hours and Tems, or Dozenal Hours truncated to 4 places. Because of this, there are 2 possible outcomes.

Here are the outcomes:

Sexagesimal

23:59:60

Dozenal, outcome 1

1E;10000

(There are not supposed to be 5 digits)

Dozenal, outcome 2

20;0000

I think i would go for the second one, as long as they change it from 1 second to 6 tems.

However, this problem may not happen for much longer because they are trying to get rid of leap seconds, anyway.

Dozenal Calculator 2;0 is here!

New Features:

• Complex Numbers (making this the first dozenal calculator application to do so)
• Trigonometry in multiple angle units: radians (2pi in a circle), degrees (260; in a circle), turns (1 in a circle),  Halfturns (2 in a circle) and dozigon (400; in a circle).
• Scientific Notation
• Rounding to the nearest bipar
• Getting the fractional part of a number
• Removed custom precision

Download

The final naming scheme I go by for dozenal numbers

Let me explain this one in a table:

(I didn't make this up completely)

Dozenal	Name
X	Ten
E	Eleven
10	Dozen
11	One Dozen One
EE	Eleven Dozen Eleven
100	One Gross
1,000	One Great Gross
10,000	One Dozen Great Gross
100,000	One Gross Great Gross
1,000,000	One Dillion
1,000,000,000	One Bidillion

The good thing about this scheme is, (for numbers less than one dillion) The naming is (technically) already correct in modern english

I give up any of my naming schemes for dozenal numbers

I came up with a system for naming dozenal numbers, but that system will be abandoned.

I think it makes more sense to use the most popular convention (do/gro/mo).

Alternate unit names

TGM (now called the Cadent System or TTP due to renamed units) is scaled by prefixes, but not everyone necessarily has the time to say the unit names like "unciatandem", so here are some alternate names:

Length

triquatandem: Li

unciatandem: Tandem inch

Mass

biquapondus: Cadent ton

unciapondus: Lib

biciapondus: Lib ounce

Volume

unciacirduct: Jug

biciacirduct: cup

triciacirduct: tablespoon

Area

square biquatandem: Acre

Simple proof that 1/3 terminates in dozenal

This isn't necessarily a proposal for a new idea, but it is relevant.

Someone told me that dozenal does not work because 1/3 = 0.333333333...

That might sound pretty dumb (I mean, it is), but I'm pretty sure there are many other people like this, so let me prove them wrong.

English Names for dozenal numbers (revised again)

See this for the previous proposal

I'ts basically the same, except:

• I ditched "duna" and "trin", and I am going for "gross" and "megross" instead
• The "-zen" thing is now the entire number, not a different form (so "twozen", not "twenzen")

(I was going to abandon this idea for the do/gro/mo thing, but mine sounds a lot more natural)

Example

123,456,789,XE0 would be One gross and twozen three bidillion, four gross and fivezen six dillion, seven gross and eightzen nine megross, ten gross and elzen

Scientific Values

Here are some scientific values in dozenal:

Planck Length (gf): 1;X5070618*10;^-28;
Googol: 5;23770028*10;^78;
Avagadro Constant (Mlz^-1): 1;439X9161*10;^22;
Age of the Universe: 2;9 Bidillion years
Speed of Light (vl): 4XE49923; (Exactly)
E: 2;87523607
Pi: 3;18480949
Golden Ratio: 1;74EE6773

Dozenal Calculator

I made a dozenal calculator:

Features:
Uses Quadruple-precision floating point format
Plenty of functions.
Converts between Decimal and Dozenal

(note: trigonometric functions are in radians)

Download for Windows:
https://drive.google.com/open?id=0B_LQXennUGdcNktTMGR4TXphdU0

English Names for dozenal numbers (revised)

I talked about this before in a previous blog post, but since then, I changed some things.

Here is my system of naming numbers.

The System

1 through nine are, of coarse, the same, but X; is pronounced "ten", and E; is pronounced "el".

10; is pronounced "zen", rather than "doh".

I created a "zeen" system for 11;-1E;, similar to "teen"

11; is "onezeen"

12; is "twozeen"

13; is "threezeen"

14; is "fourzeen"

...

for 20;-90;, it uses the current decimal notation, except you replace "-ty" with "-zen", though it does have a few differences.

therefore

20; = "twenzen"

30; = "thirzen"

40; = "forzen"

50; = "fivzen"

60; = "sixzen"

70; = "sevzen"

80; = "eightzen"

90; = "ninezen"

X0; = "teenzen" (in Old English, 100 (decimal) was "teenty")

E0; = "elzen"

100; is called "one duna" (from TGM), instead of "one gross" because
1. Grosses aren't common
2. "duna" sounds better

*1,000 is "one trin" (from TGM)

TGM calls *10,000 "quedra", but my system calls it "zen trin", because it is structurally similar to the decimal "ten thousand".
*100,000 is "one duna trin".

*1,000,000 is "one dillion" (short for "dozenal million")

*1,000,000,000 is not "one billion", but "one bidillion" (well, because "billion" is decimal).

You can always generate new dillions using systematic dozenal nomenclature

Dozenal Places

Officially, you say it similar to decimal, so 0;01 is officially "one dunith".

The semicolon seperator is called a dosc (dozenal simicolon), so it would unofficially be "zero dosc O one" or "zero dosc zero one".

Comparison with decimal

So, lets say the number "1,234,567".

If read as a decimal value, it would be "one million, two hundred and thirty four thousand, five hundred and sixty seven".

If read using my dozenal English naming scheme, it would be "one dillion, two duna and thirzen-four trin, five duna, and sixzen-seven".

Youtube Dozenator (not yet complete)

What if your favourite websites displayed things in dozenal?

I will be working on this for all popular websites, but let's start with YouTube.

I was working on a userscript that changes Youtube's stats to base 12.

Requirements:
* Firefox or chrome
* Tampermonkey or Greasemonkey

Download

New Currency Subdivisions

I am predicting the world would switch to dozenal around the end of the 21st century.

By that time, it would be more practical to only have one division by 12 than 2 divisions, because money would not be worth as much

I will explain the coinages of the new dozenalized currencies:

United States Dollar

Like many other currencies, the subdivision by 12 for the US dollar is called the uncia

There will be denominations of 1 ("dime"), 3 ("quarter"), 4 ("third"), and 6 ("half") uncia

Pound Sterling

The subdivision by 12 for the Pound sterling is the new shilling (take note that the old shilling was 1/20 pound)

There will be denominations of 1, 2, and 6 shillings

Euro (If the EU still exists by the time, because I have doubts)

The subdivision by 12 would be called the Eruo uncia

There will be denominations of 1, 2, and 6 euro uncia

Symbols for Systematic Dozenal Nomenclature

I came up with a symbol system for the SDN metric prefixes:


(tandem (t) used as an example)

Number	Positive Power	Symbol	Negative Power	Symbol
1	unquatandem	ut	unciatandem	uct
2	biquatandem	bt	biciatandem	bct
3	triquatandem	tt	triciatandem	tct
4	quadquatandem	qt	quadciatandem	qct
5	pentquatandem	pt	pentciatandem	pct
6	hexquatandem	ht	hexciatandem	hct
7	septquatandem	st	septciatandem	sct
8	octquatandem	ot	octciatandem	oct
9	ennquatandem	et	ennciatandem	ect
X	decquatandem	dt	decciatandem	dct
E	levquatandem	lt	levciatandem	lct
10	unnilquatandem	unt	unnilciatandem	unct
11	unnunquatandem	uut	unnunciatandem	uuct
...
25	bipentquatandem	bpt	bipentciatandem	bpct

Distance units

Here is how long distances should be measured:

The problem is that a triciatandem is too short, but a quadciatandem is too long.

The solution is to use quadciatandems with one dozenal place

Doing this, it is actually pretty easy to estimate conversions from previous units, because:

1 km ≈ 0;2 qt (quadciatandem)
1 mi  ≈ 0;3 qt

People will round to the nearest 0;2 or 0;3 quadciatandems depending on the previous system.

However, speed limits should probably be in triciatandems per hour, because making it higher would reduce speeding.

My thoughts on metric and imperial

A quick history lesson:

During the french revolution, there was a choice: Make a decimal measurement system, or switch to dozenal. They obviously chose the first.

Not many dozenalists would agree with me, but I think that was a better choice. Here is why:

At the time, the metric system was pretty revolutionary. Yes, It wasn't based on the best number, but it introduced things that was unheard of, like:

• Consistent conversions
• Prefix system
• Universality

However, as a contemporary measurement system, it has a lot of flaws:

• SI Base unit with a prefix (kilogram)
• Gravity isn't exact
• Many redefinitions
• SI Base unit defined by a physical object (also kilogram)
• Arbitrary ratios

TGM fixes a lot of those flaws, and it is probably time to start switching over to dozenal

While the SI has a few flaws, the imperial system has many more.

The conversions are arbitrary and inconsistent, and many aren't dozenal friendly.

For example: 5280 has a factor of 5 and one of 11.

The smallest base which imperial works perfectly in is actually base 2310 (2*3*5*7*11)

It is also dependent on another measurement system.

My Plan of switching the world over

Let's face it, shoving the dozenal system down society's throat is a bad idea. This is because:

1. Most people don't know that numbers can be represented with a base other than ten.
2. Some people think that we only want base 12 to circumvent metrication (though, the imperial system would honestly be just as bad in base 12 as in base 10, because there are many factors of 5,7, and 11 in conversions).
3. The confusion of people learning ANY new system would be more prevalent in people's minds than its advantages.
4. It would be shocking for everyone.

it's like rolling a ball up a steep hill. Going from the least to most knowledgeable people is not going to work.

Instead, we should convert the most knowledgeable people first, then gravity will roll the ball down the hill.

The Plan

 First, we should convince all the mathematicians and physicists to start using dozenal.

Yes, numbers like pi and e are not represented any better in base 12 than base 10, but I would not think mathematicians would care.

Many mathematicians have described dozenal as "the optimal number system", so they would probably rather be system already. Therefore, they will likely switch over when we suggest for them to.

After we convince everyone, base 12 will be standard for all higher mathematics and sciences.

Because of this, dozenal will be taught in colleges, and eventually high schools.

Because we are bringing the knowledge of the system to so many people through education, people will wonder the need to teach 2 systems.

Governments have this concern too, and they will eventually change the education system where that dozenal is the sole system of the country's education system.

Lots of governments will do this, and eventually, decimal will no longer be the primary number system, but will be thought of similar to how roman numerals are thought of today.



This plan isn't garenteed to work, but is the most rational solution.

Dozenal and Computing

If we were to switch to dozenal, computing would mostly stay the same. Computers would still most likely use binary internally.

Here are the things that would change:

No more Kilobytes, Megabytes, and Gigabytes

Since Kilo, Mega, and Giga are based off 10, they will not be used.

Instead will be Triquabytes (12^3 bytes), Hexquabytes (12^6 bytes), Ennquabytes (12^9 bytes) and Unnilquabytes (12^12 bytes)

Even though a kilobyte is only ideally 1000 bytes, and usually 1024 bytes, this is because 1024 is so close to 10^3. Unfortunately for base 12, there is no reasonable (less than 12^9) binary approximation power, so the powers of 12 have to be used.

assuming the prefixes are based of 1024, here are the conversions from new and old storage units:
(all values decimal)
1 Triquabyte = 1.6875 Kilobytes
1 Hexquabyte = 2.84765625 Megabytes
1 Ennquabyte = 4.805419921875 Gigabytes
1 Unnilquabyte = 8.1091461181640625 Terabytes

Flash Drives and SD cards would come in 1 HB (Hexquabyte), 2 HB, 4 HB, and 8 HB sizes, While Hard drives would come in *40 HB, *80 HB, *140 HB, and *280 HB

Hexadecimal

As I Explained Earlier, Hexadecimal would have different symbols: 0-9, X, E, A, B, C, and D (uppercase is okay, since we have not gotten to E yet). It would have a new name also: Tetradozenal.

Programming languages

Ever since programming languages began, they had decimal literals. If we were to change, we would probably have to scrap our current languages and start new ones with dozenal literals.

Dozenal and Other bases

Believe it or not, we use multiple bases, but we ultimately have a primary one: decimal.

If this primary base was to dozenal, here is how it should affect other bases.

Base Names:

We name almost every base, yet these names are decimal based.

We have to have a primary base to name other bases, or else nobody will know what we are talking about.

So, If we were switch to dozenal, we would have to change our base names.

Systematic dozenal nomenclature DOES have a system for naming bases, but I personally think we should use a more traditional scheme.

Here are bases 2 to 38 in decimal and dozenal based names:
 

Base (decimal)	Decimal Name	Dozenal name
2	Binary	Binary
3	Ternary	Ternary
4	Quaternary	Quaternary
5	Quinary	Quinary
6	Senary	Senary
7	Septenary	Septenary
8	Octal	Octal
9	Nonary	Nonary
10	Decimal	Decimal
11	Undecimal	Levinary
12	Duodecimal	Dozenal
13	Tredecimal	Undozenal
14	Tetradecimal	Duodozenal
15	Pentadecimal	Tredozenal
16	Hexadecimal	Tetradozenal
17	Septadecimal	Pentadozenal
18	Octadecimal	Hexadozenal
19	Nonadecimal	Septadozenal
20	Vigesimal	Octadozenal
21	Unvigesimal	Nonadozenal
22	Duovigesimal	Decadozenal
23	Trevigesimal	Levadozenal
24	Tetravigesimal	Bizenal
25	Pentavigesimal	Unbizenal
26	Hexavigesimal	Duobizenal
27	Septavigesimal	Trebizenal
28	Octavigesimal	Tetrabizenal
29	Nonavigesimal	Pentabizenal
30	Trigesimal	Hexabizenal
31	Untrigesimal	Septabizenal
32	Duotrigesimal	Octabizenal
33	Tretrigesimal	Nonabizenal
34	Tetratrigesimal	Decabizenal
35	Pentatrigesimal	Levabizenal
36	Hexatrigesimal	Trizenal
37	Septatrigesimal	Untrizenal
38	Octatrigesimal	Duotrizenal

Base Symbols

Instead of 0123456789 and then ABCDEF..., the first 12 dozenal symbols should be used, and then letters start, so 123456789XE, then abcd... (If X and E are used for 10 and 11, all letters are lowecase, if the fancy symbols are used, it does not matter. This way, E (11) and e (16) are distinguishable).

Improving TGM

I like the TGM system, but there is some need for improvement

(see this if you don't know what it is)

Renaming of units

let's face it: the names are stupid.

Even if you think they are fine, they should still be changed because every unit name comes from English, causing problems for non-English speakers (there actually are some dozenalists who speak a language other than English).

I came up with new names for every TGM unit. All of the names are from Latin (though sometimes shortened), unless noted otherwise

tim (time unit)	tem (tm)
gee (acceleration unit)	cadere (c), or tandems per tem² (t/tm²)
denz (density unit)	densit (d)
calg (temperature unit)	aestus (ae)
kur (electric current unit)	fulger (f)
molz (amount of substance unit)	toma (ta)*
vlos (velocity unit)	tandems per tem (t/tm)
grafut (length unit)	tandem (t)
surf (area unit)	square tandem (t²)
volm (volume unit)	cirduct (cr)
maz (mass unit)	pondus (pd)
mag (force unit)	vi (vi)
perm (pressure unit)	cura (cu)
werg (energy unit)	nixus (nx)
pov (power unit)	op (op)
pel (electric potential unit)	tia (tia)
og (electric resistance unit)	luctor (lc)
quel (charge unit)	ictus (iu)

* Shortened form of "atomic mass", but that is how we got the name for the mole ("molecular mass"), so whatever
Any other name can be formed from previous units, or someone can form a latin-based name like I did.

"Normal" units

Like the SI, we need a few extra units because of the extremes that the base units offer.

Here are some units I proposed:
Pound - 0;01 pondus.
Triquatandems per hour - 0;1 tandems per tem. Since it is a lot smaller than km/h or mph, speed limits look bigger, discouraging speeding.
Spoon - 0;001 cirducts.
Cirducts per *100 triquatandems - *100000 cirducts per tandem (hey, the SI unit of fuel consumption is meters per cubic meter).
Prime - *1000 tems (5 minutes)
Dual - *100 tems (25 seconds)
Tria - *10 tems

Par notation

You know how we express numbers in percentages, permillages, or "parts per million"?

I created a simpler way to express this in dozenal: Par notation (from latin pars, meaning division).

Like Decimal, there are different levels of it.

The notation

Here is a table of the levels of par notation:

Name	Symbol	Meaning	Decimal analog
unpar	/^1	out of 12	(none)
bipar	/^2	out of 144	percent (%)
tripar	/^3	out of 1728	permille (‰)
quadpar	/^4	out of 20736	basis point (‱)
hexpar	/^6	out of 12^6	part per million (ppm)
ennpar	/^9	out of 12^9	part per billion (ppb)

English Names for dozenal numbers

There are just too many naming schemes for dozenal numbers.

Problems with current schemes are either:
1. They are hard to learn
2. They sound pretty stupid

I came up with a naming scheme that might actually work.

It is based off the one from TGM, but slightly modified.

It is designed, not really to be shorter, but easier to learn among most people, because it is structurally the same as the periods of three based counting system that most languages share.

The System

1 through nine are, of coarse, the same, but *X is pronounced "ten", and *E is pronounced "eleven", like they already are in decimal.

*10 is pronounced either "dozen", or "one dozen", instead or "zen" or "doh", because the dozen is a pretty common quantity.

*11 is "one dozen one"

*47 is "four dozen seven"

*100 is called "one duna" (from TGM), instead of "one gross" because
1. Grosses aren't common
2. "duna" sounds better

*1,000 is "one trin" (from TGM)

TGM calls *10,000 "quedra", but my system calls it "one dozen trin", because it is structurally similar to the decimal "ten thousand".
*100,000 is "one duna trin".

*1,000,000 is "one dillion" (short for "dozenal million")

*1,000,000,000 is not "one billion", but "one bidillion" (well, because "billion" is decimal).

You can always generate new dillions using systematic dozenal nomenclature

Comparison with decimal

So, lets say the number "1,234,567".

If read as a decimal value, it would be "one million, two hundred and thirty four thousand, five hundred and sixty seven".

If read using my dozenal English naming scheme, it would be "one dillion, two duna and three dozen four trin, five duna, and six dozen seven".