## Genuinely useful applications of Dozenal

 Posts 9
Newcomer
richard.chasen
Newcomer
Joined: Apr 28 2017, 04:54 PM
Double sharp wrote: Well, nothing is preventing you from using 12 as a number to divide things up easily even if your main base is decimal, as it is for all of us. The point is instead that 12 having more factors than 10 means that base 12 has more easy patterns in the multiplication table (think decimal 2 and 5; in dozenal 2, 3, 4, and 6 are all that easy).

And when factoring larger numbers base ten has 10^2 and 5^2, but dozenal has 8, 9, 2^4 and of course 10^2.
In dozenal any number ending in 09, 16, 23, 30, 39, 46, 53, 60, 69, 76, 83, 90, 99, A6, B3, will evenly divide by 9
In dozenal any number ending in 14, 28, 40, 54, 68, 80, 94, A8, 00, will evenly divide by 2^4.
In dozenal any number ending in a 2 digit multiple of 8 will evenly divide by 8.

Obsessive poster
Obsessive poster
Joined: Sep 10 2011, 11:27 PM
richard.chasen wrote:
Double sharp wrote: ...
Richard, did you have anything to add? If not, please refrain from just quoting someone without providing further content of your own.
As of 1202/03/01[z]=2018/03/01[d] I use:
ten,eleven = ↊↋, ᘔƐ, ӾƐ, XE or AB.
Base-neutral base annotations
Systematic Dozenal Nomenclature
Primel Metrology
Western encoding (not by choice)
Greasemonkey + Mathjax + PrimelDozenator
(Links to these and other useful topics are in my index post;
click on my user name and go to my "Website" link)

Dozens Demigod
Double sharp
Dozens Demigod
Joined: Sep 19 2015, 11:02 AM
Well, my original post only included the first paragraph quoted; I presume Richard added the remainder himself, but perhaps forgot or didn't know how to move it out of the quote.