Interstellar Message

 

Interstellar Message: Page #6

Parameter

Value

Date/Time Began 04/18/2007 02:59:10 UT
Number of Times Repeated 1,024
Date/Time Finished 04/22/2007 12:41:49 UT
Number of Pulses 457
Page Duration (With Delay) 6 min 11.64 sec
Data Transfer Rate 4.08 bits per second
Symbol A (84.7 Hz) Occurs 32 times
Symbol C (119.8 Hz) Occurs 85 times
Symbol D (142.4 Hz) Occurs 177 times
Symbol E (169.4 Hz) Occurs 32 times
Symbol F (201.5 Hz) Occurs 42 times
Symbol H (284.9 Hz) Occurs 1 time
Symbol I (338.8 Hz) Occurs 35 times
Symbol J (402.9 Hz) Occurs 10 times
Symbol K (479.1 Hz) Occurs 23 times
Symbol L (569.8 Hz) Occurs 20 times

 

Page #6 is as follows:

1.) CDIFDDJCDDIEA
2.) DDFCDIJCDDIEA
3.) CDFDDIJCDDIEA
4.) DDIFCDJCDDIEA
5.) CDIFDDIJCDDEA
6.) DDIFCDIJCDDEA
7.) DCCDIFDDIFDDJEA
8.) DCCDFDDIFDDIJEA
9.) CDDIFCDIKDDEA
10.) CDDIFDDKCDIEA
11.) CDDIFCDKDDIEA
12.) CDDIFDDIKCDEA
13.) CDDFCDIKDDIEA
14.) CDDFDDIKCDIEA
15.) DDFDCCDIFDDIKEA
16.) DDIFDCCDFDDIKEA
17.) DDFCDKDLDEA
18.) DDFCCDKDDLCEA
19.) CDDFCCDKDLDEA
20.) DDDFCCDKDDLDEA
21.) DFCCCDKDCCLCEA
22.) DCDCDFCCCDKDCDLCDEA
23.) DDLCDFDDCDFCCDKEA
24.) DCLCFDDDFCCDDDKEA
25.) DDFCDKDDDDFCDCDKEA
26.) DDFCCDKCDDFCCCDKEA
27.) CDFDLDJDDEA
28.) DDFDLDKCDEA
29.) DLDFDCLCJDDCLCEA
30.) DDCLCFDCLCKDLDEA
31.) DLDIFDDIFCDKEA
32.) DCLCDIFDCLDFDLDDHEA

Translation Notes

The symbol L is the only new symbol.  Lines 1 - 16 contain one or more occurrences of the symbol I (i.e., the unary minus sign) on each line so they must relate to operations with negative numbers.  Taking line #1 we have CDI followed by F followed by DD followed by J followed by CDDI followed by E.  We can translate this as:

-2, 3 X -6 =    or    -2 X 3 = -6

A negative integer multiplied by a positive integer is a negative integer.  The symbol L first occurs on line #17 which has DD followed by F followed by CD followed by K followed by DLD followed by E.  We can translate this as:

3, 2 / DLD =    or    3 / 2 = DLD

The symbol L comes in the middle of a string of D's which represent the binary digits 1.  L is functioning as a binary point separating the integer part from the fractional part.  Reading from right to left DLD becomes 1.1 binary which is 1.5 decimal.  The complete English translation of page #6 is as follows:

  1.) -2 X 3 = -6
  2.) 3 X -2 = -6
  3.) 2 X -3 = -6
  4.) -3 X 2 = -6
  5.) -2 X -3 = 6
  6.) -3 X -2 = 6
  7.) -9 = -3 X 3
  8.) 9 = -3 X -3
  9.) -6 / -2 = 3
10.) -6 / 3 = -2
11.) -6 / 2 = -3
12.) -6 / -3 = 2
13.) 6 / -2 = -3
14.) 6 / -3 = -2
15.) 3 = -9 / -3
16.) -3 = 9 / -3
17.) 3 / 2 = 1.5
18.) 3 / 4 = 0.75
19.) 6 / 4 = 1.5
20.) 7 / 4 = 1.75
21.) 1 / 8 = 0.125
22.) 21 / 8 = 2.625
23.) 2.75 = 11 / 4
24.) 0.25 = 7 / 28
25.) 3 / 2 = 15 / 10
26.) 3 / 4 = 6 / 8
27.) 2 * 1.5 = 3
28.) 3 / 1.5 = 2
29.) 1.5 * 0.25 = 0.375
30.) 0.375 / 0.25 = 1.5
31.) -1.5 = -3 / 2
32.) -2.25 = 1.25 - 3.5

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
L 569.8 Hz Binary point (separates integer part and fraction)

 

Concepts Learned on Page #6

Symbol L represents the binary point (separates integer part and fraction)
A positive number multiplied by a negative number equals a negative number
A negative number multiplied by a positive number equals a negative number
A negative number multiplied by a negative number equals a positive number
A positive number divided by a negative number equals a negative number
A negative number divided by a positive number equals a negative number
A negative number divided by a negative number equals a positive number