Post by Buffoonery on Sept 17, 2015 17:56:37 GMT -8
Wow, that's very impressive, look at that! Man, I really like how clean it is. Oh well, base 12 also looks pretty good considering it's such a low base. It still can't compete against base 16 though for powers of 2.
Last Edit: Sept 17, 2015 17:59:38 GMT -8 by Buffoonery
Fraction______Trigesimal______Duoquadragesimal (Sievenal) 1/2_______________0.A_______________0.a 1/4_______________0.7A______________0.ta 1/8_______________0.3]A_____________0.5ta // That one is uglier using thirty, only the A stays the same. 1/2^4_____________0.1?7A____________0.2?ta // That "ta" holds on for forty-two, and the ? is an even digit so the next step is pretty easy. 1/2^5_____________0.0Z3]A___________0.1H5ta // The trigesimal endings are alternating between 3]A and ?7A.... uglier than forty-two's 5ta and ?ta. 1/2^6_____________0.0C1?7A__________0.0nj?ta // That one is pretty much a draw, other than the ending digit feature again. At least the ? and t are both even.
Other common fractions in sievenal?
1/3 = 0.C 2/3 = 0.Z 3/4 = 0.Fa 1/6 = 0.7 5/6 = 0.D // Those are nice.
1/9 = 0.4Z 2/9 = 0.9C 5/8 = 0.5ta + 0.a = 0.?ta // Good coincidence, the other ending three digits when dividing 1 by a bunch of twos, like 5/8 in decimal being 0.625 and one sixteenth being 0.0625, nice to remember. 1/7 = 0.6 // O.o now we can get averages per day if we are given an amount per week via dividing by seven. Did we get seven days in a week from dividing lunar cycles by four? 2/7 = 0.U 3/7 = 0.y 1/C = 0.3 // C is fourteen
Oh, I forgot all important twelfths; the ones that don't reduce are one, five, seven, and eleven twelfths.
1/U = 0.3a 5/U = 1/3 + 1/U = 0.C + 0.3a = 0.Na 7/U = 1/U + 1/2 = 0.3a + 0.a = 0.Ea r/U = 5/U + 0.a = 0.wa // Maybe you don't like having two-digit stuff there, but 0.wa becomes 0.9166666666.... in decimal, I am pretty much satisfied with the representation not recurring, unless there is ugly behavior like dividing by twos in trigesimal.
Which symbol set? The last one I posted was a non-case sensitive one for trigesimal; my symbols for larger bases differ for the numbers 21 through 28. The weird bit is that some symbols are reused in both sets (such as Z and K) but represent different numbers. m is 29 in both cases.
The case sensitivity might tell the fate of 36 and 42; if mentally handling symbols with different numbers for N and n, E and e, H and h, etc. etc. becomes a turd then the highest applicable base would be trigesimal. If it's not harder, 36 and 42 may still have a purpose lol
Dividing 365.2422 days into 42 "pseudo months" would have 29 of these that contain 9 days and 13 that have 8 days a piece.
I still need to know if people would be more compatible with changing to a base that's a multiple of ten because they're so used to decimal (does trigesimal get an advantage here?)
6 is the least common multiple of the highly important primes 2 and 3, and the least common multiple of 6 and 7 is already 42. If 7s are more important than 5s (maybe due to the weekly cycle), then 42 trumps 30. In base 36, 10 - 1 days would give 5 weeks, but then you have to do 30 - 3 for fifteen weeks, etc. In base 42, 10 days = 6 weeks = 3 fortnights.
Post by Buffoonery on Jan 14, 2017 19:48:43 GMT -8
Notes for the attachments above: This is not my idea, this comes from a man named Paul Rapoport. dozenal.ae-web.ca/pdf/calendar-intro.pdf Although he used the 12 astrology signs which I personally don't like.
Instead, I would like the months to be starting in the Spring now that I think of it. I'll make those changes now. Yeah, it makes a lot more sense to start in the spring.
fcg710647: krisko - do you mean e as in Euler's number? Or E for el (dozenal eleven character)
Aug 21, 2018 8:50:40 GMT -8
krisko: #HI i seek the sequence (answer) for the following in dozenal: sq root of E
Jan 24, 2018 7:40:25 GMT -8
Buffoonery: @wendy If you want to write about Base 120, feel free to write all about it in the Centivigesimal folder I just created. I'll be interested to hear why you're interested in it!
Jul 26, 2017 23:33:54 GMT -8