Annus Platonicus [numerics of Hellenic World-cycles]
Platon: Timaios (35b-36b)
p. 6 -- musical scale of 34 terms in 5 octaves:
1 = Moon |
2 = Sun |
4 = Mercury |
8 = Mars |
16 |
9/8 = tone |
9/4 |
9/2 |
9 = Jupiter |
18 |
81/64 |
81/32 |
81/16 |
81/8 |
81/4 |
4/3 = 4th |
8/3 |
16/3 |
32/3 |
64/3 |
3/2 = 5th |
3 = Venus |
6 |
12 |
24 |
27/16 |
27/8 |
27/4 |
27/2 |
27 = Saturn |
243/128 |
243/64 |
243/62 |
243/16 |
where (pp. 5-6) the movements of the parts of the world-soul are:
divisibility (p. 5) |
substance (pp. 5, 6) |
"to the __" (p. 6) |
"to the __ circle" (p. 6) |
namely, the __ (p. 6) |
total (p. 8, fn. 20) |
indivisible |
"Same" |
right |
outer |
caelestial aequator |
27 |
divisible |
"Other" |
left |
inner |
ecliptic |
54 |
p. 11 the 2 harmonies of mortal begettings
ordinal |
shape |
harmony |
= __ (product) |
1st |
square |
(36^2)*(100^2) |
12,960,000 |
2nd |
oblong |
(48*100)*(27*100) |
12,960,000 |
(3*4*5)^4 |
12,960,000 |
this is the "Geometric Number"
p. 15 according to Proklos
the period of the |
is the product of the |
and of the |
Geometric Number |
Perfect year |
period of metempsychosis |
measuring |
measuring |
measuring |
all cycles of the universe |
the cycles of the world-soul |
the cycles of individual souls |
so that the "Great Year" of Platon measureth 25,920 years
pp. 16-17 the 2 alternating revolutions of the world (Platon: Politikos 268d-273e) --
3-fold legend: |
|
1st |
quarrel between Atreus & Thuestes |
2nd |
reign of Kronos (= "Golden Age") |
3rd |
the antient earth-born folk |
p. 17, fn. 42 according to Herodotos (Historie 2:142),
the quarrel between Atreus & Thuestes was |
connected with the 4 alternations of the Sun's revolution over 11,340 years |
p. 22 these include (Timaios 22a-23b):
myth |
destruction of world by __ |
Phoroneus & +Niobe |
|
Deukalion & +Purrhe |
deluge |
Phaethon son of Helios |
sun |
{cf. also the accounts by the Naasenoi in Hippolutos: Refutatio omnium haeresium 5}
p. 32 reckoning (as per G. d. C.) by analogy with the 10 yuga-s:
proportion |
years |
"__ Age" |
4 |
10,368 |
Golden |
3 |
7,776 |
Silver |
2 |
5,184 |
Bronze |
1 |
2,592 |
Iron |
with "world reversals ... every 12,960 years"
[with this conjectured 7,776-year period, cf. the 7,777-year period on pp. 104-5 & 87, citing Hippolutos: Refutatio omnium haeresium 4:7]
pp. 33 & 69 -- Censorinus: De Die Natali (18:11)
assignments of duration to the "Great Year", consisting of the alternating pair: winter = kataklusmos (diluvio "flood") & summer = ekpurosis (incendium "conflagration") |
|
authority |
years |
Aristarkhos |
2,484 |
Aretes of Durrhakhion |
5,552 |
Linos |
10,800 |
Dion |
10,884 |
Orpheus |
120,000 |
Cassandros |
3,600,000 |
p. 51 -- Tacitus: Dialogus de Oratoribus (16)
according to the (now lost) Hortensius by Cicero, the "Great Year" was 12,954 years' duration |
[Inasmuch as the days of the year number (p. 54, fn. 150) 365+1/4 according to Cicero: De Natura Deorum (2:19), this smaller number (12,954) was used as a multiplicand (instead of 12,960 which would have been multiplied by 365 instead), to yield a product of days.]
pp. 76-77 planetary cycles [relative to the earth], according to Lydus: De Mensibus (3:16); paraphrased by Michael Psellos: De Ominifaria Doctrina (161)
planet |
years |
Saturn |
265 |
Jupiter |
427 |
Mars |
284 |
Sun |
1,461 |
Venus |
1,151 |
Mercury |
480 |
Moon |
25 |
"universal return" (conjunction of all planets) in 1,753,200 years
p. 114 -- Proklos: Politeiai Logon ton Mouson
according to Sosigenes, the "Perfect Year" = |
34*10,000^4 + 43(..)*10,000^3 + 7876*10,000^2 + 3836*10,000 + 6(..) years |
cycle of praecession of the aequinoctes
p. |
authority |
years |
122 |
Macrobius |
15,000 |
123 |
Ptolemaios |
36,000 |
PUBLICATIONS DE L'INSTITUT ORIENTALISTE DE LOUVAIN, 47 = Godefroid de Callatay: : Annus Platonicus. Louvain-la-Neuve, 1996.