Interstellar Message

 

Interstellar Message: Page #5

Parameter

Value
Date/Time Began 04/14/2007 04:30:59 UT
Number of Times Repeated 1,024
Date/Time Finished 04/18/2007 02:59:10 UT
Number of Pulses 405
Page Duration (With Delay) 5 min 32.12 sec
Data Transfer Rate 3.42 bits per second
Symbol A (84.7 Hz) Occurs 32 times
Symbol C (119.8 Hz) Occurs 92 times
Symbol D (142.4 Hz) Occurs 167 times
Symbol E (169.4 Hz) Occurs 32 times
Symbol F (201.5 Hz) Occurs 48 times
Symbol J (402.9 Hz) Occurs 17 times
Symbol K (479.1 Hz) Occurs 17 times

 

Page #5 is as follows:

1.) CDFDDJCDDEA
2.) DDFCDJCDDEA
3.) DDFDDJDCCDEA
4.) CCDFDDJCCDDEA
5.) DDFCCDJCCDDEA
6.) DCDFDDDJDDCCCDEA
7.) DCDFDJDCDEA
8.) CCDFCJCEA
9.) CDDFCDFDDJEA
10.) CDDFDDFCDJEA
11.) DCCDFDDFDDJEA
12.) CCDDFCCDFDDJEA
13.) CCDDFDDFCCDJEA
14.) DDFCCDJCDFCDDJEA
15.) DDDFDFDDDJEA
16.) CFCFCDCDJEA
17.) CDDFCDKDDEA
18.) CDDFDDKCDEA
19.) DCCDFDDKDDEA
20.) CCDDFCCDKDDEA
21.) CCDDFDDKCCDEA
22.) DDCCCDFDCDKDDDEA
23.) DCDFDKDCDEA
24.) CCDFCCDKDEA
25.) DDFCDDFCDKEA
26.) CDFCDDFDDKEA
27.) DDFDCCDFDDKEA
28.) DDFCCDDFCCDKEA
29.) CCDFCCDDFDDKEA
30.) CCDDFCCDKCDDFCDKEA
31.) DDDFDDDFDKEA
32.) DFCDDFCDDKEA

Translation Notes

Two new symbols are introduced which are J and K.  Lines 1 - 16 contain the symbol J and lines 17 - 32 contain the symbol K.  Taking line #1 we have CD followed by F followed by DD followed by J followed by CDD followed by E.  We can translate this as:

2, 3 J 6 =    or    2 J 3 = 6

Clearly the symbol J represents multiplication.  Taking line #17 we have CDD followed by F followed by CD followed by K followed by DD followed by E.  We can translate this as:

6, 2 K 3 =    or    6 K 2 = 3

Clearly the symbol K represents division.  Lines #8 and #16 demonstrate that zero multiplied by any number equals zero.  Lines #7 and #15 demonstrate that one multiplied by any number equals that number.  Lines #23 and #31 demonstrate that any number divided by one equals itself.  Lines #24 and #32 demonstrate that any non-zero number divided by itself equals one.  The complete English translation of page #5 is as follows:

  1.) 2 X 3 = 6
  2.) 3 X 2 = 6
  3.) 3 X 3 = 9
  4.) 4 X 3 = 12
  5.) 3 X 4 = 12
  6.) 5 X 7 = 35
  7.) 5 X 1 = 5
  8.) 4 X 0 = 0
  9.) 6 = 2 X 3
10.) 6 = 3 X 2
11.) 9 = 3 X 3
12.) 12 = 4 X 3
13.) 12 = 3 X 4
14.) 3 X 4 = 2 X 6
15.) 7 = 1 X 7
16.) 0 = 0 X 10
17.) 6 / 2 = 3
18.) 6 / 3 = 2
19.) 9 / 3 = 3
20.) 12 / 4 = 3
21.) 12 / 3 = 4
22.) 35 / 5 = 7
23.) 5 / 1 = 5
24.) 4 / 4 = 1
25.) 3 = 6 / 2
26.) 2 = 6 / 3
27.) 3 = 9 / 3
28.) 3 = 12 / 4
29.) 4 = 12 / 3
30.) 12 / 4 = 6 / 2
31.) 7 = 7 / 1
32.) 1 = 6 / 6

Dictionary So Far

Symbol

Frequency Shift

Meaning
A 84.7 Hz Statement terminator
B 100.7 Hz Unary digit (BB is 2, BBB is 3, etc.)
C 119.8 Hz Binary digit 0 (most significant digit on the right)
D 142.4 Hz Binary digit 1 (most significant digit on the right)
E 169.4 Hz Equals sign
F 201.5 Hz Number separator
G 239.6 Hz Addition
H 284.9 Hz Subtraction
I 338.8 Hz Unary minus sign (negative numbers)
J 402.9 Hz Multiplication
K 479.1 Hz Division

 

Concepts Learned on Page #5

Symbol J is the multiplication sign
Symbol K is the division sign
Multiplication and division of positive integers
Multiplication is commutative (X * Y and Y * X equal the same thing)
Zero multiplied by any number equals zero
One multiplied by any number equals that number
Any number divided by one equals itself
Any number divided by itself equals one