Experiment 179

“F3.6: the Weltzeituhr's rotating ring of 24 time zones as the number half of a two-part key over 26 letters, with an unknown word, exact”

F3.6 (C12(b)). 0052 excluded a cipher on a 24-letter alphabet; the ring as an offset over 26 letters was untested. Readings: the 24 zones laid over the 26 letters (each zone the letter offset it covers, rounded or floored) and the 26 letters over the 24 zones, the ring turning either way, one zone per letter, every start; and the ring turning one zone every 24 letters or every 4 letters (97 letters over 24 zones), every start. With an unknown word of 1-24 letters, both signs, 12 table rules (0175's decider). A ring offset that steps one letter each time is a progressive key, which 0155 covered.

revertedstatus
experiment 175parents
3 stime, all phases
0candidates
0/24known letters
unclocked
1

The experiment method

What the method does with the 24 known letters.

Berlin's World Clock has a ring of 24 time zones that turns through the day. Laid over the 26 letters, it gives a slowly changing shift: most steps one letter, now and then two. That shift could be half the keythe secret word The word or string a cipher needs besides the method., a secret word the other half. The 24 known lettersthe known letters Sanborn has confirmed that positions 22 to 34 of the message read EASTNORTHEAST and positions 64 to 74 read BERLINCLOCK. say whether any word fits; scrambled copies say how often that happens by chance.

Words in the margin are defined on the glossary page.

1.1

The method at work

The carved letters go in at the top; the reading comes out at the bottom.

OBKRUOXOGHULBSOLIFBBWEASTNORTHEASTOTWTQSJQSSEKZZWATJKLUDIAWINFBBERLINCLOCKWGDKZXTJCDIGKUHUAUEKCARIN: THE COPPER, ALL 97 LETTERS, THE 24 KNOWN PLACES IN ACCENTthe 24 zones laid over 26 letters (0 1 ... 6 8 ... 18 20 ... 25) under the message from place 1; each known letter's key, less its number, is the word's letter (7 letters, KRYPTOS table)EASTNORTHEASTBERLINCLOCKthe word's lettersTFVMKGZNKVELMUKDEQIFDBQZslot 1 again: N, but place 22 left T; this setting dieseach cell one of the 56 readings, every start, both signs, words of 1-24 letters, 12 table rules: does any setting fit?156no setting fits K4a planted text, foundthe planted text is found; K4 0 settings, 20 scrambled copies 0each cell one length of the word: the known letters left over as checks171224checks: 23 at length 1, 17 at 7, 5 at 24; dead at every lengthOUT: NO READING; THE WORLD CLOCK'S RING MAKES NO KEY WITH ANY WORDEASTNORTHEASTBERLINCLOCK
the idea

Berlin's World Clock carries a ring of 24 time zones that turns through the day. Laid over the 26 letters it gives a shift that grows by one, now and then two.

the check

Every way of laying the ring over the letters, turning one zone per letter or more slowly, from every start, with a secret word of 1-24 letters on 12 table rules.

the bound

Nothing fits K4 or any of 20 scrambled copies; a planted text is found. F3.6 closed.

2

Best candidate against the known letters

This experiment produced no candidate: the search ruled everything out before a full text was built. Its product is the bounded negative in section 7.

3

Walkthrough, by hand

Redo the method on a few letters with pencil and paper.

  1. Lay the 24 zones over the 26 letters: zone 0 at 0, zone 1 at 1, ... zone 12 at 13, every so often a step of two.
  2. Write those offsets under the message, one zone per letter, from some starting zone.
  3. On the sculpture's table the known E at place 22 over the carved F asks for key value 1; subtract the offset under it: the rest is the secret word's letter there.
  4. Places sharing a slot of the word must agree.
  5. Every start, sign, word length, table rule and reading; then scrambled copies.
the worksheet: the first steps by hand, on squared paper
24 ZONES OVER 26 LETTERSZone z sits at letter offset 26z/24,rounded down: 0, 1, 2, ... 11, 13, 14,... 24. The offset grows by one at everystep but two: from zone 11 to 12, and asthe ring wraps round from 24 to 0.A shift that grows by exactly one perletter is a progressive key, closed by0155. The ring's uneven steps are new;with any secret word they still fail.
4

Worked example, generated

The same steps run by the code on the real letters.

24 zones over 26 letters (rounded) from zone 0, Vigenere on the KRYPTOS table, word length 7

place  known  carved  key  num  word value  slot
   22      E       F    1   23           4     0
   23      A       L   10   24          12     1
   24      S       R   21   25          22     2
   25      T       V   18    0          18     3
   26      N       Q    1    1           0     4
   27      O       Q   15    2          13     5
   28      R       P    2    3          25     6
   29      T       R   23    4          19     0
   30      H       N    5    5           0     1
   31      E       G    2    6          22     2
   32      A       K   19    8          11     3
   33      S       S    0    9          17     4
   34      T       S    2   10          18     5
   64      B       N   11   16          21     0
   65      E       Y   17   17           0     1
   66      R       P    2   18          10     2
   67      L       V    5   20          11     3
   68      I       T   15   21          20     4
   69      N       T   11   22          15     5
   70      C       M    9   23          12     6
   71      L       Z    8   24          10     0
   72      O       F    7   25           8     1
   73      C       P   20    0          20     2
   74      K       K    0    1          25     3
5

Hypothesis, for a cryptanalyst

Family, key space, the constraint under test, and the clues it reads.

C12(b): the Weltzeituhr's structure (24 time zones on a rotating ring) as a key; Sanborn 2014 'delve into that particular clock', 2025 'the World Clock in Berlin'. C5(b), C6. Model as 0175: k_i = w[i mod a] + s d_i, 12 rules; the 24 known letters force k; the word's slots must agree. Statistic: live settings, K4 against 20 coppers.

6

Prediction

Written before the run; the result decides it.

No setting fits K4 or the coppers (5 or more checks each). Zero candidates.

7

Method

  1. Build the readings.
  2. For each text, table rule, reading, start and sign: the word's value at each known place.
  3. For each word length 1-24: slot agreement; fully forced words looked up.
  4. K4 against 20 coppers; one planted text as a builder check.
8

Result and bounds

The harness's record: candidates, gates, loss, and the negative result this experiment leaves behind.

0candidates returned
0passed every gate
0/24known letters, best
–lowest loss
nonechampion before

live settings with >=4 checks: K4 0 (coppers 0-0); dictionary words 4+: K4 0 (coppers 0-0); plant found True

What was searched, as the harness recorded it.

family
word plus the Weltzeituhr ring as offsets over 26 letters, k = w[i mod a] + s d, 12 table rules, exact
readings
24 zones laid over 26 letters, one zone per letter (rounded)
0, 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25
24 zones laid over 26 letters (floor)
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24
26 letters laid over 24 zones (floor)
0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23
26 letters laid over 24 zones (rounded)
0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23
24 zones laid over 26 letters, one zone per letter (rounded), ring turning the other way
0, 25, 24, 23, 22, 21, 20, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 6, 5, 4, 3, 2, 1
24 zones laid over 26 letters (floor), ring turning the other way
0, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2
26 letters laid over 24 zones (floor), ring turning the other way
0, 0, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3
26 letters laid over 24 zones (rounded), ring turning the other way
0, 25, 24, 23, 22, 21, 20, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 8, 7, 6, 5, 4, 3
ring turns one zone every 24 letters, start 0
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 0
one value per K4 place
ring turns one zone every 24 letters, start 1
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 1
one value per K4 place
ring turns one zone every 24 letters, start 2
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 2
one value per K4 place
ring turns one zone every 24 letters, start 3
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 3
one value per K4 place
ring turns one zone every 24 letters, start 4
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 4
one value per K4 place
ring turns one zone every 24 letters, start 5
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 5
one value per K4 place
ring turns one zone every 24 letters, start 6
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 6
one value per K4 place
ring turns one zone every 24 letters, start 7
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 7
one value per K4 place
ring turns one zone every 24 letters, start 8
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 8
one value per K4 place
ring turns one zone every 24 letters, start 9
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 9
one value per K4 place
ring turns one zone every 24 letters, start 10
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 10
one value per K4 place
ring turns one zone every 24 letters, start 11
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 11
one value per K4 place
ring turns one zone every 24 letters, start 12
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 12
one value per K4 place
ring turns one zone every 24 letters, start 13
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 13
one value per K4 place
ring turns one zone every 24 letters, start 14
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 14
one value per K4 place
ring turns one zone every 24 letters, start 15
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 15
one value per K4 place
ring turns one zone every 24 letters, start 16
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 16
one value per K4 place
ring turns one zone every 24 letters, start 17
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 17
one value per K4 place
ring turns one zone every 24 letters, start 18
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 18
one value per K4 place
ring turns one zone every 24 letters, start 19
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 19
one value per K4 place
ring turns one zone every 24 letters, start 20
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 20
one value per K4 place
ring turns one zone every 24 letters, start 21
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 21
one value per K4 place
ring turns one zone every 24 letters, start 22
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 22
one value per K4 place
ring turns one zone every 24 letters, start 23
one value per K4 place
ring turns one zone every 4 letters (97 over 24 zones), start 23
one value per K4 place
n readings
56
word lengths
1, 24
checks by word length
1
23
2
22
3
21
4
20
5
19
6
18
7
17
8
16
9
15
10
14
11
13
12
12
13
11
14
11
15
9
16
8
17
7
18
7
19
9
20
11
21
11
22
9
23
7
24
5
live at least checks
1
k4
0
coppers min
0
coppers max
0
coppers at or above k4
20
2
k4
0
coppers min
0
coppers max
0
coppers at or above k4
20
4
k4
0
coppers min
0
coppers max
0
coppers at or above k4
20
6
k4
0
coppers min
0
coppers max
0
coppers at or above k4
20
8
k4
0
coppers min
0
coppers max
0
coppers at or above k4
20
11
k4
0
coppers min
0
coppers max
0
coppers at or above k4
20
14
k4
0
coppers min
0
coppers max
0
coppers at or above k4
20
dictionary hits
k4
0
coppers
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
dictionary hits 6 plus
k4
0
coppers
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
k4 hits
none
plant
text
24 zones over 26 letters from zone 1, + SHADOW, Vigenere on the KRYPTOS table
found
yes
copies
20 shuffled coppers (seed 1790)
seconds
2
exhaustive
yes

How this experiment sits among the others is on the lineage page; its family's open hypotheses are on the families page.

Rendered from the record on 2026-10-18 12:26 UTC; updated after every experiment.
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