TRANSLATIONS

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To change 522 = 18 * 29 into 521 = 13 * 40 + 1 will transform the whole structure from multiples of 29 into something else:

520
Ab1-1 Ab7-26
0 521 = 13 * 40 + 1
3 53 520 752
Aa8-30 Aa8-31 Aa8-85 Ab1-1 Ab7-26 Aa8-26
58 = 2 * 29 522 = 18 * 29 754 = 26 * 29

754 must first be reduced by 1 to 753 because Ab7-26 will now already have been counted. Next we should reduce with another 1 to get an even number. 753 - 1 = 752 = 16 * 47.

This is one of the possible patterns:

3 53 520 752
Aa8-30 Aa8-31 Aa8-85 Ab1-1 Ab7-26 Aa8-26
59 = 2 * 29.5 0 521 = 13 * 40 + 1 753 = 16 * 47 + 1

On the other hand, 753 does not appear very convincing (13 changed to 16 and 40 changed to 47 at the same time). If we add 521 and 753 we will get a better result:

521 + 753 = 1274 = 14 * 91

1334 = 1274 + 60.

14 refers to moon, which has two faces, while 91 refers to sun, who has four phases.

While 521 can be found in our table, 753 cannot:

53 13 * 4 + 1 52 13 * 4 4 * 13 4 * 13 * 1 52 * 1
209 13 * 16 + 1 208 13 * 16 4 * 52 4 * 13 * 4 52 * 4
365 13 * 28 + 1 364 13 * 28 4 * 91 4 * 13 * 7 52 * 7
521 13 * 40 + 1 520 13 * 40 4 * 130 4 * 13 * 10 52 * 10
677 13 * 52 + 1 676 13 * 52 4 * 169 4 * 13 * 13 52 * 13
833 13 * 64 + 1 832 13 * 64 4 * 208 4 * 13 * 16 52 * 16

Neither can 1274. But 1274 = 26 * 49 (i.e. 1274 = 52 * 24.5).

Glyph number 1274 is the last viri (Aa8-26), which exactly as the expected term 52 * 25 = 1300 is cut short:

3 53 520 752
Aa8-30 Aa8-31 Aa8-85 Ab1-1 Ab7-26 Aa8-26
59 = 2 * 29.5 1 1274 = 52 * 24.5
1334 = 2 * 29.5 + 1 + (2 + 50) * (29.5 - 5)

Glyph number 1300 (52 * 25 = 26 * 50), counted beyond Ab1-1, is Aa8-52:

Aa8-26 Aa8-27 Aa8-28 Aa8-29
Aa8-30 Aa8-31 Aa8-32 Aa8-33
Aa8-34 Aa8-35 Aa8-36 Aa8-37
Aa8-38 Aa8-39 Aa8-40 Aa8-41
Aa8-42 Aa8-43 Aa8-44 Aa8-45 Aa8-46
Aa8-47 Aa8-48 Aa8-49 Aa8-50
Aa8-51 Aa8-52 Aa8-53 Aa8-54
1299 1300 1301 1302