And make: Time & Angles measurements consistant.

Recent changes: From : and; to [ and ] amd removed other alternates

Started: Sat 2004-03-27

- These new digits should not be confused with letters of the alphabet.
- They should be representable in the familiar 7 segment display.
- They should be on a standard computer keyboard.
- They should be easily written with a single stroke.
- I sugest [ which I would call "
**col**" and it would have the value of "nine plus one". - The second which I would call "
**sem**" whose value would be "nine plus two" would be ].

ASCII characters: **col**on, and **sem**icolon follow 9,
that's the reason I chose these names.
**And we would have to learn Dozenal
Add and Multiply
tables.**

Dozenal Extra Digits Experiment Tue 2004-03-16 Example Dozenal Square Root of 2 to 25 (Dozenal decimal) places. 1.4]79170]07[85737704]085486853 |

For more practice here is a table of small prime numbers in both decimal and Dozenal.

First 100 (Dozenal) primes in decimal. Wed 03-24-2004 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 211 223 227 229 233 239 241 251 257 263 269 271 277 281 283 293 307 311 313 317 331 337 347 349 353 359 367 373 379 383 389 397 401 409 419 421 431 433 439 443 449 457 461 463 467 479 487 491 499 503 509 521 523 541 547 557 563 569 571 577 587 593 599 601 607 613 617 619 631 641 643 647 653 659 661 673 677 683 691 701 709 719 727 733 739 743 751 757 761 769 773 787 797 809 811 821 823 827 829 |

First 100 (Dozenal) primes in "Col, Sem" Dozenal 3 5 7 ] 11 15 17 1] 25 27 31 35 37 3] 45 4; 51 57 5] 61 67 6] 75 81 85 87 8] 91 95 [7 [] ]5 ]7 105 107 111 117 11] 125 12] 131 13] 141 145 147 157 167 16; 171 175 17] 181 18] 195 19] 1[5 1[7 1]1 1]5 1]7 205 217 21] 221 225 237 241 24] 251 255 25] 267 271 277 27] 285 291 295 2[1 2[] 2]1 2]] 301 307 30; 315 321 325 327 32] 33] 347 34] 357 35] 365 375 377 391 397 3[5 3[] 3]5 3]7 401 40] 415 41] 421 427 431 435 437 447 455 457 45] 465 46] 471 481 485 48] 497 4[5 4]1 4]] 507 511 517 51] 527 531 535 541 545 557 565 575 577 585 587 58] 591 he last digit of a prime can not be a composite: 4 6 8 or [ |

When the units for time and angles were devised science had not advanced to where it was generally known that the earth rotated; hence, the connection between time and angles was not realized. But, because 24 has many divisors a day was divided into 24 parts. For similar reasons each part was divided into 60 smaller oarts.

60 times 60 is 360 and it is used for angular measure.* This is truly an
unfortunate mistake of the past, and regrettably even though we think we
are smart and progressive: I have not heard any arguments that we should
change our units of: Time and Angles. *But as any programer knows
doing arithmetic on time or angles is a crazy mess. Especially if AM and
PM are used!

Using Dozenal,
**Here is a much better system.**
Angles woould be measured in **Revolutions**.
An angle of one complete revolution would be 1.0
**rev**. *Instead of our crazy 360 degrees*. **"Rev"** replacing
the word "degree" for angular measures. A straight line would be an
angle of 0.6 revs *remember in Dozenal 1/2 is 0.6*. And a right
angle would be half a straight line or 0.3 revs. What we now call *a
30-60-90 triangle* would be a 0.1 - 0.2 - 0.3 triangle. **Elegantly
simple!** *I have used leading zeros to emphasize numbers just as we
currently do, but they would not always be needed.*

Time should be simply a measure of the angular rotation of the earth.
Thus a day would be: 1.0 and a half day would be 0.6 and what we now
call 2 hours would be 0.1 of a day. Midnight would be time 0.0 and noon
would be 0.6 and half way between midnight and noon would be 0.3 Oh, yes
what we now call an hour would be 0.06 and smaller time intervals would
be just more digits to the right. **Different but elegantly
consistent.**

The Longitude of where you are at would tell you your Time Zone! Think of how this would simplify the concept of "Greenwich Mean Time" or UTM.

To the many who have given this some thought, I would love to get your thoughts, ideas, corrections and suggestions. I would be nice to have links or pages with other ideas, arguments, and opinions.

I have in My Arithmetic Routines a calculator program to do variable precision integer arithmetic. With it you can change the input and output number bases. The above Square Roots were done with it. I also have a "tweaked" version where the defaults are Dozenal. I also converted a Prime number output routine to output in "Dozenal". If you are interested.

For anyone who wants to compair other number system bases, I have a page comparing them.

Go to:
My Home Page |
Go to:
This page TOP |