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Ideas for octal counting, time, and measurements

 

09 September 2004

Edited 07 February 2005

 

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This is literally something I thought up in 20 minutes.  That's how easy it is to get you mind around octal.  By the way, octal is base-eight counting (for more on how number bases work, see my essay, Counting Systems Compared).  I am not going to develop this any more – at least not in the near future.  But I thought some of you might like to see the raw data – it's fairly straightforward.  Remember, in octal, eight looks like 10. 

 

 

Octal Counting (number names)

 

Octal Value

Name

Decimal Value

0

Zero

0

1

One

1

2

Two

2

3

Three

3

4

Four

4

5

Five

5

6

Six

6

7

Sev

7

10

Oct

8

20

Tuoct

16

30

Threeoct

24

40

Fouroct

32

50

Fiveoct

40

60

Sixoct

48

70

Sevoct

56

100

Hec

64

200

Twohec

128

1 000

Tho

512

10 000

Octho

4 096

100 000

Hectho

32 768

1 000 000

Mor

262 144

10 000 000

Octmor

2 097 152

100 000 000

Hecmor

16 777 216

1 000 000 000

Till

134 217 728

10 000 000 000

Octill

1 073 741 824

100 000 000 000

Hectill

8 589 934 592

1 000 000 000 000

Dar

68 719 476 736

10 000 000 000 000

Octdar

549 755 813 888

100 000 000 000 000

Hecdar

4 398 046 511 104

1 000 000 000 000 000

Zel

35 184 372 088 832

10 000 000 000 000 000

Octzel

281 474 976 710 656

100 000 000 000 000 000

Heczel

2 251 799 813 685 248

1 000 000 000 000 000 000

Jor

18 014 398 509 481 984

10 000 000 000 000 000 000

Octjor

144 115 188 075 855 872

100 000 000 000 000 000 000

Hecjor

1 152 921 504 606 846 976

 

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Octal Time:

The below text is written in decimal.

 

Octal (a) time: 16 hr. Day (clock face numbered 1-8 with 8 sets of 8 min./sec. each)

 

second conversion: 86 400/24  = 65 536/16

1 sec = 1.318359375 sec

1 min = 84.375 sec

1 hr. = 5 400 sec

1 day = 8 6400 sec.

 

 

Octal (b) time: 30 hr. day (clock face numbered 1-15 with 15 sets of 4 min./sec. each)

 

second conversion: 86 400/24  = 108 000/30

1 sec = 0.8  sec

1 min = 48 sec

1 hr. = 2 880sec

1 day = 8 6400 sec.

 

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Octal Measurement:

I'm not sure how long these units should be, but I am thinking of 1 inch = 1 international inch (or 2.54 cm)

 

1/8 inch

1 inch (1/8 foot)

1 foot

1 yard (4 feet)

1 fathom (8 feet)

(the fathom is the next ‘metric’ unit after the foot; yard bears the same relationship to a fathom as a cubit does to one of our yards.)

 

 

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