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.