Thinking In Base 12 Is Easier Than Thinking In Base 10, Disregarding Establishment

My first argument will be that dozenal's prime factorization is better than decimals. 12=2*2*3, but 10=2*5. So the only numbers than 10 is divisible by are 2 and 5, while 12 is divisible by 2, 3, 4 and 6. That makes floating point representation of numbers easier in dozenal than in decimal. Case in point for the most common fractions:Decimal:1/2 = 0.51/3 = 0.333...1/4 = 0.251/5 = 0.21/6 = 0.1666...1/8 = 0.1251/9 = 0.111...Dozenal:1/2 = 0.61/3 = 0.41/4 = 0.31/5 = 0.2497....1/6 = 0.21/8 = 0.161/9 = 0.14It's easier to think in a system that's more compact. Compression is what makes things easier to think about. That's why we invent so many acronyms for example. Rather than say "too much information", we condense it down into "TMI". And the reason is obvious, we are trimming off redundancy. Huffman coding is used to do this systematically, to find for example the shortest unique binary representation for each of 10 items on a list. Compression speeds up data processing.---My second argument is that the dozenal system can be designed to have a quicker pronunciation. That's why I went through the trouble in round 1 of spelling out each number up to one zyriad. If you have the number 127 in decimal, you have to say "one hundred twenty seven", which is seven syllables. In dozenal, you would only have to say "gross twozen sep", which is 4 syllables. In general, "gross" is one syllable and "hundred" is two syllables, so that speeds up the speaking time. "Zau" is less syllables than "thousand". The most common numbers that are spoken are typically 4 digits. Note that there is no standard way to pronounce numbers in dozenal, but since it's still in the drawing board stage of conception, we can assign pronunciations that are calculated to be more efficient than decimal pronunciations.Why do we care about how long it takes to pronounce something? For the same reason as above: compression. The less time your brain has to spend telling your voice how to create the syllables, the more time your brain has to do actual computation with the numbers represented by the syllables.---My third argument is that grouping things in twelves is more symmetrical than grouping things in tens. The way we represent time is in based on twelves, because of how much easier it is to divide up the day. The French tried to create a decimal based clock, but it didn't catch on because it was worse than the clock that was already in use that was based on twelves. The 10-hour (or 20-hour) day failed because the 12(2)-hour day was just more convenient and easier to work with.You also commonly see eggs sold by the dozen, and pizzas sliced by the dozen. You buy doughnuts in groups of 6 or 12 because a box 5 by 2 units long is not as sturdy or convenient as a box 3 by 4 units long. When dealing with radians, many common angles are integer multiples of 2pi/12 radians, but ugly multiples of 2pi/10 radians:30 degrees = (2Pi)*[1]/12 rads = (2Pi)*[5/6]/10 rads60 degrees = (2Pi)*[2]/12 rads = (2Pi)*[5/3]/10 rads90 degrees = (2Pi)*[3]/12 rads = (2Pi)*[5/2]/10 rads45 degrees = (2Pi)*[3/2]/12 rads = (2Pi)*[5/4]/10 radsBut all of the common angles have better radian values when 12 is the denominator, than when 10 is the denominator.---Those are the 3 arguments I'm putting forth to start. To summarize, dozenal gives a more compact form than decimal, and no one wants large, stupid, clunky ways to represent their numbers. This is everything I wish to say for round 1.