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Magick Squares - Sigils

To: alt.magick
From: hnewstrom@hnewstrom.ess.harris.com (Harvey Newstrom)
Subj: Magick Squares - Sigils (0000.msqsgls.hn)
Date: unknown

Here are corrected kameas with some rules on how to check them.

CORRECTED ODD KAMEAS:

Luna: (9-squared)             Venus: (7 squared)      Mars: (5-squared)
37 78 29 70 21 62 13 54  5    22 47 16 41 10 35  4    11 24  7 20  3
 6 38 79 30 71 22 63 14 46     5 23 48 17 42 11 29     4 12 25  8 16
47  7 39 80 31 72 23 55 15    30  6 24 49 18 36 12    17  5 13 21  9
16 48  8 40 81 32 64 24 56    13 31  7 25 43 19 37    10 18  1 14 22
57 17 49  9 41 73 33 65 25    38 14 32  1 26 44 20    23  6 19  2 15
26 58 18 50  1 42 74 34 66    21 39  8 33  2 27 45    
67 27 59 10 51  2 43 75 35    46 15 40  9 34  3 28    Saturn: (3-squared)
36 68 19 60 11 52  3 44 76                             4  9  2
77 28 69 20 61 12 53  4 45                             3  5  7
                                                       8  1  6
For odd kameas:
- the number just below the center-most square is the 1.
- the number just above the center-most square is the highest number,
  n-squared.
- the numbers run from 1 to n-squared sequentially following a diagonal
  path going down and right.  (Look at the examples above.)
- When the diagonal reaches the bottom, it wraps around to the top.
- When the diagonal reaches the right side, it wraps around to the left.
- When the diagonal reaches itself, it moves down and left to start a
  new diagonal.  (Notice in Luna where the 10 would normally go where
  the 1 is, but since that is already filled, a new diagonal is started
  with 10, 11, 12...)

CORRECTED EVEN KAMEAS:

Mercury: (8 squared)       Sol: (6 squared)     Jupiter: (4 squared)
 8 58 59  5  4 62 63  1     6 32  3 34 35  1     4 14 15  1
49 15 14 52 53 11 10 56     7 11 27 28  8 30     9  7  6 12
41 23 22 44 45 19 18 48    19 14 16 15 23 24     5 11 10  8
32 34 35 29 28 38 39 25    18 20 22 21 17 13    16  2  3 13
40 26 27 37 36 30 31 33    25 29 10  9 26 12
17 47 46 20 21 43 42 24    36  5 33  4  2 31
 9 55 54 12 13 51 50 16
64  2  3 61 60  6  7 57

For even kameas:
- The upper-right square is the 1.
- The lower-left square is the highest number, n-squared.
- The upper-left square is the number of squares per side, n.
- The lower-right square is the n-squared - n + 1.
- The upper-right to lower-left diagonal procedes in increments of n+1.
- The upper-left to lower-right diagonal procedes in increments of n-1.
- The rules for the in-between numbers become increasingly complex for
  even kameas as they get larger.

SOME HINTS ON DERIVING SIGILS FROM KAMEAS:
- Almost all of the published kameas using Arabic numerals are copies
  from Cornelius Agrippa, and incorporate his mistakes.  His original
  squares using the Hebrew numerals were correct.
- Almost all of the published sigils drawn from the kameas are also
  copied from Agrippa.  Since his "squares" were rectangular, all of
  his sigils were stretched horizontally.
- Many of the copied sigils have been reproduced side-ways or upside-
  down.
- Sigils start with a small circle and end with a small crossbar.  Many
  copies of the sigils show two circles, two crossbars, or have them
  transposed.
- Note that Hebrew numbers with two digits take two Hebrew letters in
  a single box.  Where this occurs, the sigils can have two points for
  two different letters in the same box.  If you only use boxes with
  single letters, you will not produce the same sigils as Agrippa.
- Because of the above duplicated letters, some sigils can be produced
  in different ways.  Generally, the multiple letter boxes were preferred,
  exept where the single-letter boxes produces a simpler sigil.
- When a letter is repeated or resides in the same box as the previous
  letter, it is denoted with a a "bounce" showing the line touching the
  box twice.  (The "bounce" looks something like the numeral "3.")

By using the above methods, Baird Stafford, Sandra Tabatha Cicero and I
were able to duplicate and verify all of the Sigils in Regardie's Golden
Dawn, with the caveat that some are upside-down or sideways, and some
have the ends drawn strangely.
__
Harvey Newstrom   (hnewstrom@hnewstrom.ess.harris.com)

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