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A year does not have to begin anew after 12 months. There were several other options and for instance was the Phoenix cycle around 18 months (or 'years'):

... A sidelight falls upon the notions connected with the stag by Horapollo's statement concerning the Egyptian writing of 'A long space of time: A Stag's horns grow out each year. A picture of them means a long space of time.'

Chairemon (hieroglyph no. 15, quoted by Tzetzes) made it shorter: eniautos: elaphos. Louis Keimer, stressing the absence of stags in Egypt, pointed to the Oryx (Capra Nubiana) as the appropriate 'ersatz', whose head was, indeed, used for writing the word rnp = year, eventually in 'the Lord of the Year', a well-known title of Ptah.

(E - S - N - W)

Rare as this modus of writing the word seems to have been - the Wörterbuch der Aegyptischen Sprache (eds. Erman and Grapow), vol. 2, pp. 429-33, does not even mention this variant - it is worth considering (as in every subject dealt with by Keimer), the more so as Chairemon continues his list by offering as number 16: 'eniautos: phoinix', i.e., a different span of time, the much-discussed 'Phoenix-period' (ca. 500 years).

There are numerous Egyptian words for 'the year', and the same goes for other ancient languages. Thus we propose to understand eniautos as the particular cycle belonging to the respective character under discussion: the mere word eniautos ('in itself', en heauto; Plato's Cratylus 410D) does not say more that just this. It seems unjustifiable to render the word as 'the year' as is done regularly nowadays, for the simple reason that there is no such thing as the year; to begin with, there is the tropical year and sidereal year, neither of them being of the same length as the Sothic year. Actually, the methods of Maya, Chinese, and Indian time reckoning should teach us to take much greater care of the words we use. The Indians, for instance, reckoned with five different sorts of 'year', among which one of 378 days, for which A. Weber did not have any explanation. That number of days, however, represents the synodical revolution of Saturn. Nothing is gained by the violence with which the Ancient Egyptian astronomical system is forced into the presupposed primitive frame.

The eniautos of the Phoenix would be the said 500 (or 540) years; we do not know yet the stag's own timetable: his 'year' should be either 378 days or 30 years, but there are many more possible periods to be considered than we dream of - Timaios told us as much. For the time being the only important point is to become fully aware of the plurality of 'years', and to keep an eye open for more information about the particular 'year of the stag' (or the Oryx), as well as for other eniautio, especially those occurring in Greek myths which are, supposedly, so familiar to us, to mention only the assumed eight years of Apollo's indenture after having slain Python (Plutarch, De defectu oraculorum, ch. 21, 421C), or that 'one eternal year (aidion eniauton)', said to be '8 years (okto ete)', that Cadmus served Ares ...

The 2nd half of the Celtic year began in July:

... Midsummer is the flowering season of the oak, which is the tree of endurance and triumph, and like the ash is said to 'court the lightning flash'. Its roots are believed to extend as deep underground as its branches rise in the air - Virgil mentions this - which makes it emblematic of a god whose law runs both in Heaven and in the Underworld ... The month, which takes its name from Juppiter the oak-god, begins on June 10th and ends of July 7th. Midway comes St. John's Day, June 24th, the day on which the oak-king was sacrificially burned alive. The Celtic year was divided into two halves with the second half beginning in July, apparently after a seven-day wake, or funeral feast, in the oak-king's honour ...

Possibly: 3 * 118 + 7 = 361 = 19 * 19 = 7 + 2 * 177.

But if the Phoenix (bird on fire) cycle was 540 days = 1½ * 360 days, then the end of his 'year' could be in January rather than in July. The Birth of First Mother was 540 days after the Birth of First Father:

Defeat of Seven Macaw

May 28, 3149 B.C.

12.18.4.5.0 1 Ahaw 3 K'ank'in

Birth of First Father

June 16, 3122 B.C.

12.19.11.13.0 1 Ahaw 8 Muwan

Birth of First Mother

 December 7, 3121 B.C.

12.19.13.4.0 8 Ahaw 18 Tz'ek

Creation

August 13, 3114 B.C.

4 Ahaw 8 Kumk'u
Ahau. To blow freshly, coolness, zephyr, salubrious, breeze, wind; ahau ora, agreeable breeze.

Hau, to blow, blusterous, to breathe.

hau ia

Ba2-11

Ahau (Ahaw)

Such an eniautos (540) would result in jumping from a beginning in July to a beginning in January and then back again in a regular pattern, from Cancer to the Capricorn and then back again to Cancer.

... Far away, the Mangaians of old (Austral Islands, Polynesia), who kept the precessional clock running instead of switching over to 'signs', claim that only at the evening of the solstitial days can spirits enter heaven, the inhabitants of the northern parts of the island at one solstice, the dwellers in the south at the other ...

What can we read in the G text regarding "December 7? Given that First Mother was a female we maybe should look for the day when the Full Moon was at "December 7 (Ko Koró 7)?

And we have been here before. December 7 is the first day beyond number 260 (= 20 * 13), and 261 equals 9 * 29 where 29 signifies the dark rebirth night of the Moon (when the Sun was at her back):

... When the new moon appeared women assembled and bewailed those who had died since the last one, uttering the following lament: 'Alas! O moon! Thou has returned to life, but our departed beloved ones have not. Thou has bathed in the waiora a Tane, and had thy life renewed, but there is no fount to restore life to our departed ones. Alas ...

8 MAY (*48) 9 10 (130) 11 12 13
*MAY 10 11 12 (*52) 13 14 15 (135)
MAY 14 (*54) 15 16 (136) 17 18 19
Ga2-24 Ga2-25 Ga2-26 Ga2-27 Ga2-28 Ga2-29 (59)
φ Gemini (118.4) DRUS = χ Carinae (119.9) ω Cancri (120.2) 8h (121.7)

χ Gemini (121.0), NAOS = ζ Puppis (121.3)

ρ Puppis (122.0), HEAP OF FUEL = μ Cancri (122.1), ζ Monocerotis (122.3),  ψ Cancri (122.6), REGOR (Roger reversed) = γ Velorum (122.7) TEGMINE (Covered Up) = ζ Cancri (123.3)
July 17 18 19 (200) 20 (*121) 21 22 / 7
"June 6 (157) 7 Kaulua 3 9 (*80) Maro 10 11
ι Sagittarii (301.2), TEREBELLUM = ω Sagittarii, ξ Aquilae (301.3), ALSHAIN (Falcon) = β Aquilae (301.6), φ Aquilae (301.8) ε Pavonis, θ Sagittarii (302.3), γ Sagittae (302.5), μ Pavonis (302.7) τ Aquilae (303.8) 20h (304.4)

η Sagittae (304.2), δ Pavonis (304.4)

SHANG WEI (Higher Guard) = κ Cephei (305.2), θ Sagittae (305.4), TSEEN FOO (Heavenly Raft) = θ Aquilae (Ant.) (305.6), ξ Capricorni (305.8) TSO KE (Left Flag) = ρ Aquilae (306.3)
January 16 17 18 (383) 19 20 21
"December 6 7 (9 * 29) 8 Ko Koró 9 (*263) 10 11
NOVEMBER 13 14 15 16 (320) 17 18 (*242)
*NOVEMBER 9 10 (314) 11 12 (*236) 13 14
7 NOVEMBER 8 9 10 (314) 11 12 (*236)
14 MAY 15 16 (136) 17 18 (*58)
*MAY 16 (136) 17 18 19 20 (*60)
MAY 20 (140) 21 22 23 (*64 = *128 / 2)
Ga3-1 Ga3-2 Ga3-3 Ga3-4 (63) Ga3-5
AL TARF (The End) = β Cancri (124.3)

RAS ALGETHI (α Herculis)

χ Cancri (125.2), BRIGHT FIRE = λ Cancri (125.4) AVIOR = ε Carinae (126.4), φ Cancri (126.8) ο Ursa Majoris (127.4) Pushya-8

υ Cancri (128.1), θ CANCRI (128.2)

July 23 (204) 24 (*125) 25 26 27 (208)
°July 19 (200) 20 (*121) 21 22 / 7 23 (204)
'June 26 (177) 27 28 29 (*100) SIRIUS
"June 12 (163) Kaulua 8 (*84) 14 (165) Maro 15 Kaulua 11
GREDI (Goat) = α Capricorni (307.2), σ Capricorni (307.5), ALSHAT (The Sheep - to be slaughtered) = ν Capricorni (307.9) Al Sa’d al Dhabih-20 (The Lucky One of the Slaughterers) / Ox / Herd Boy-9 (Buffalo)

DABIH = β Capricorni (308.0), κ Sagittarii (308.1), SADIR (Breast) = γ Cygni (308.4), PEACOCK = α Pavonis (308.7)

KHUFU

MINTAKA (δ Orionis)

KHAFRE

ALNILAM (ε Orionis)

MENKAURE

ALNILAK (ζ Orionis)

OKUL = π Capricorni (309.6), BOS = ρ Capricorni (309.9)

ARNEB (α Leporis)

ο Capricorni (310.2), θ CEPHEI (310.5)

HEKA (λ Orionis)

ROTTEN MELON = ε Delphini, φ Pavonis (311.2), η Delphini (311.4), ζ Delphini, ρ Pavonis (311.7)

PHAKT (α Columbae)

January 22 (387) 23 24 (*309) 25 (390) 26
°January 18 (384) 19 20 (385) 21 (*306) 22
'December 26 (360) 27 28 29 (363) 30 (*284)
"December 12 Hilinama 8 (*266) 14 (348) 15 Ko Koró 16 (*270)
NOVEMBER 19 20 (316) 21 22 (*246) 23
*NOVEMBER 15 16 (320) 17 18 (*242) 19
13 NOVEMBER 14 (318) 15 16 (*240) 17
Hiri

1. To braid, plait, tress (hair, threads). 2. To rise in coils (of smoke). 3. To hover (of birds). Vanaga. 1. To elevate, to mount. Hiriga, to elevate; elevation, mounted, ascension, assumption, declivity; hiriga mouga, hillside. Hirihiri, a swing, seesaw. P. Pau.: iri, to be put up in a place, to lodge. Mgv.: iri, placed in a higher position than the observer, as a box on a high shelf. Ta.: iri, to lodge or stick up in a place. The germ signification is 'above, higher'. In Samoa it is used most commonly in a tropical sense, but the primal sense is sufficiently retained in the signification to lodge, to stick in, to show general concord with Rapanui and particular harmony with the other languages of Southeast Polynesia. 2. To make a bag; taura hiri, to make a cord; rauoho hiri, plaited hair; hirihiri, frizzed; rauoho hirihiri, lock of hair. P Mgv.: hiri, wo weave, to plait; akahiri, to make a mat. Mq.: hii, large plait of coconut fiber. Ta.: firi, to plait, to braid. When we interpret in the sense of local conditions Père Roussel's definition 'to make a bag' the concord is perfect, for bags are woven. The germ sense is plainly the act of twining in and out, over and under, which, with specific differences due to manner and material, may result in plaiting or weaving; see hiro. 3. To go, to walk, to voyage, to arrive, to appear; hiri tê reka, to go without noise; hiri koroiti, to go softly; hiri tahaga no mai, to go without a halt. Hiriga, voyage, journey; hiriga hakapa, to go by twos; hiriga hipa, to go obliquely; hiriga kokekoke, to go by sudden steps; hiriga okorua, to go by twos; hiriga tahataha to go across; hiriga tekiteki, to go on hopping; hiriga tê mataku, to go on fearlessly; hiriga totoro, to go on all fours; hiriga varikapau; to go in a ring; hiriga veveveve, to go boldly. Churchill.

Pau.: Hirinaki. 1. To incline, to slope. Ta.: hirinai, to rest upon. Ma.: irinaki, to rest upon. 2. To be apprehensive. Ta.: hirinai, to apprehend. Churchill. Mgv.: Aka-hiria, to enquire after. Sa.: sili, to ask, to demand. Hirihiri, to fish for turtle. Mq.: fiifiii, a small net for taking turtle. Churchill.

HILI, v. Haw., to braid, plait, twist, turn over, spin; wili, id.; wili, s. a ribbon a roll; wili-wili, to stir round, to mix; another dialectical variation is hilo, to twist, turn, spin. Sam., fili, to plait, as sinnet; filo, to mix, s. twine, thread; vili, a gimlet, a whirlpool.

Marqu., fau-fii, twist, braid. N. Zeal., wiri, id. Rarot., iro, id. Tah., firi, id.; hiro, id. Fiji., siri, askew, not nicely in a row, wrong, in error. Tagal and Bisays, hilig, a woof.

Greek, είλω, to roll up, to press together, pass to and fro, to wind, turn round; έλισσω, turn round or about, roll, whirl; έλιξ, adj., twisted, curled; s. anything of a spiral shape, twist, curl, coil; ίλλω, to roll, of the eyes, to squint, look askance; ίλλος, squinting; ίλλας, a rope, band; ίλιγξ, a whirlpool.

Sanskr., vel, vehl, to shake, tremble; vellita, crooked; anu-vellita, a bandage. To this Sanskrit vel Benfey refers the Greek είλω, the Latin volvo, and the Gothic walojan. Liddell and Scott also incline to connect είλω and volvo with the same root. To me it would seem as if the Sanskrit vrij, whose 'original signification', Benfey says, is 'to bend', and the Sanskrit vrit, whose 'original signification', Benfey says, is 'to turn', were nearer akin to the primary form from which the Greek είλω, ίλλω, and the Polynesian hili, wiri, descend: that primary form being vri, now lost to the Sanskrit, with a primary sense of to bend, twist, turn over, braid, and of which vel, vell, or vehl, is possibly another secondary and attenuated form. With such a Sanskrit vŗi. surviving in vŗij and vŗit, the derivation of the Latin filum, thread, as twisted, spun; of the Latin varus, bent asunder, parting from each other, varix, crookedness; of the Saxon wile, deceit; of the Swedish willa, confusion, error, wilse, astray, becomes easy and intelligible. (Fornander)

There were 100 days from "June 12 (163) to "December 9 (263), from heliacal Al Tarf (the End) to the night when Naos (ζ Puppis) could be seen close to the Full Moon.

The Easter Island month name for "December was Ko Koró which ought to mean the month of the Feast:

Kokoro

Width, expanse; wide, spacious. Te kokoro o te hare, the expanse of a wide house. Vanaga. To widen, to expand. Churchill.

Koro

1. Father (seems to be an older word than matu'a tamâroa). 2. Feast, festival; this is the generic term for feasts featuring songs and banquetting; koro hakaopo, feast where men and women danced. 3. When (also: ana koro); ana koro oho au ki Anakena, when I go to Anakena; in case, koro haga e îa, in case he wants it. Vanaga. If. Korokoro, To clack the tongue (kurukuru). Churchill.

Ma.: aokoro, pukoro, a halo around the moon. Vi.: virikoro, a circle around the moon. There is a complete accord from Efaté through Viti to Polynesia in the main use of this stem and in the particular use which is set to itself apart. In Efaté koro answers equally well for fence and for halo. In the marked advance which characterizes social life in Viti and among the Maori the need has been felt of qualifying koro in some distinctive manner when its reference is celestial. In Viti virimbai has the meaning of putting up a fence (mbai fence); viri does not appear independently in this use, but it is undoubtedly homogenetic with Samoan vili, which has a basic meaning of going around; virikoro then signifies the ring-fence-that-goes-around, sc. the moon. In the Maori, aokoro is the cloud-fence. Churchill 2.

And at the other side of the equator, on Hawaii, they could have regarded the month Taku-lua on the other side of the year as a month for feasting:

... three lines are drawn east and west, one across the northern section indicates the northern limit of the Sun (corresponding with the Tropic of Cancer) about the 15th and 16th days of the month Kaulua (i.e., the 21st or 22nd of June) and is called ke alanui polohiwa a Kane, the black-shining road of Kane. The line across the southern section indicates the southern limit of the Sun about the 15th or 16th days of the month Hilinama (December 22) and is called ke alanui polohiwa a Kanaloa, the black-shining road of Kanaloa. The line exactly around the middle of the sphere is called ke alanui a ke ku'uku'u, the road of the spider, and also ke alanui i ka Piko a Wakea, the way to the navel of Wakea (the Sky-father) ...

Taku

Prediction, prophecy, prognostic, to predict; tagata taku, wizard. P Ta.: tau, to invoke, to pray. Takurua, full of stones, pebbly, stony, a path among the rocks. Churchill. Samoa: ta'u, to tell, to mention, to announce, to certify, to acknowledge. Tonga: taku, to call by, to designate; takua, to mention, to call by name. Rapanui; taku, to predict. Maori: takutaku, to threaten, to recite imprecations. Fotuna: no-tukua, to confess. Viti: tukuna, to report, to tell. Churchill 2.

At the risk of invoking the criticism, 'Astronomers rush in where philologists fear to tread', I should like to suggest that Taku-rua corresponds with the two-headed Roman god Janus who, on the first of January, looks back upon the old year with one head and forward to the new year with the other, and who is god of the threshold of the home as well as of the year... There is probably a play on words in takurua - it has been said that Polynesian phrases usually invoke a double meaning, a common and an esoteric one. Taku means 'slow', the 'back' of anything, 'rim' and 'command'. Rua is a 'pit', 'two' or 'double'. Hence takurua has been translated 'double command', 'double rim', and 'rim of the pit', by different authorities. Taku-pae is the Maori word for 'threshold'... Several Tuamotuan and Society Islands planet names begin with the word Takurua or Ta'urua which Henry translated Great Festivity and which is the name for the bright star Sirius in both New Zealand and Hawaii. The planet names, therefore, represent the final stage in the evolution of takurua which was probably first applied to the winter solstice, then to Sirius which is the most conspicious object in the evening sky of December and January, and was then finally employed for the brilliant and conspicious planets which outshone even the brightest star Sirius. From its association with the ceremonies of the new year and the winter solstice, takurua also aquired the meaning 'holiday' or 'festivity'. Makemson.

... In between the flowers and the fruits there was a high summer man on fire:

... The bereaved and sorrowing Isis, meanwhile, wandering over the world in her quest - like Demeter in search of the lost Persephone - came to Byblos, where she learned of the wonderful tree. And, placing herself by a well of the city, in mourning, veiled and in humble guise - again like Demeter - she spoke to none until there approached the well the handmaidens of the queen, whom she greeted kindly. Braiding their hair, she breathed upon them such a wondrous perfume that when they returned and Astarte saw and smelt the braids she sent for the stranger, took her into the house, and made her the nurse of her child. The great goddess gave the infant her finger instead of breast to suck and at night, having placed him in a fire to burn away all that was mortal, flew in the form of a swallow around the pillar, mournfully chirping. But the child's mother, Queen Astarte, happening in upon this scene, shrieked when she spied her little son resting in the flames and thereby deprived him of the priceless boon. Whereupon Isis, revealing her true nature, begged for the pillar and, removing the sarcophagus, fell upon it with a cry of grief so loud that the queen's child died on the spot. Sorrowing, then, the two women placed Osiris's coffer on a boat, and when the goddess Isis was alone with it at sea, she opened the chest and, laying her face on the face of her brother, kissed him and wept ...

The flames from a fire went in the opposite direction compared to the direction of the always downwards (to the Underworld) flowing waters of life. Immortality could thereforre be reached by following the flames upwards. This pair of different futures was illustrated by Vindemiatrix (ε Virginis, Star Man of Fire, Kakkab Mulu Izi) respectively by Spica (where Sadalmelik, α Aquarii) culminated at midnight):

62 20 JULY (201) 21 22 (22 / 7) 23 24 (*125)
*JULY 22 (22 / 7) 23 24 (*125) 25 26
JULY 26 27 28 29 (210) 30 (*131)
Ga5-17 Ga5-18 (128) Ga5-19 Ga5-20 Ga5-21
Al Áwwā'-11 / Shur-mahrū-shirū-18 (Front or West Shur?)

Sombrero Galaxy = M104 Virginis (191.1), ρ Virginis (191.4), PORRIMA = γ Virginis, γ Centauri (191.5)

ι Crucis (192.2), β Muscae (192.5), MIMOSA = β Crucis (192.9) no star listed (193) κ Crucis (194.4), ψ Virginis (194.5), μ Crucis, λ Crucis (194.6), ALIOTH (Fat Taíl) = ε Ursae Majoris, ι Oct. (194.8) MINELAUVA = δ Virginis (195.1), COR CAROLI = α Canum Ven. (195.3)
September 28 29 (*192) 30 (273) October 1 2
°September 24 25 (*188) 26 27 (270) 28
'September 1 2 (*165) 3 4 5 (248)
"August 18 (*150) Hora Iti 19 (231) 20 21 22
25 JULY 26 27 28 29 (210) 30 31
*JULY 27 28 29 (210) 30 31 *AUGUST 1 2
JULY 31 AUGUST 1 2 (214) 3 4 (*136) 5 6
Ga5-22 (132) Ga5-23 Ga5-24 Ga5-25 Ga5-26 Ga5-27 Ga5-28
Kakkab Mulu Izi (Star Man of Fire)

δ Muscae (196.5) , VINDEMIATRIX (Grape Gatherer) = ε Virginis (196.8)

13h (197.8)

ξ¹ Centauri (197.1), ξ² Centauri (197.9)

APAMI-ATSA (Child of Waters) = θ Virginis, ψ Hydrae (198.5), DIADEM = α Com. Ber. (198.9) AL DAFĪRAH (Tuft) = β Com. Ber. (199.4) σ Virginis (200.4) γ Hydrae (201.0), ι Centauri (201.4) Al Simāk-12 / Chitra-14 / Horn-1 (Crocodile) / Sa-Sha-Shirū-20 (Virgin's Girdle) / ANA-ROTO-3 (Middle pillar)

MIZAR (Girldle) = ζ Ursae Majoris (202.4), SPICA = α Virginis, ALCOR = 80 Ursae Majoris (202.7)

SADALMELIK (α Aquarii)

October 3 4 5 6 7 (*200) 8 9 (282)
°September 30 °October 1 2 3 (275) 4 (*196) 5 6
'September 6 7 (250) 8 9 10 11 12 (*175)
"August 23 24 (236) 25 26 27 28 29 (*161)

... According to Gylfaginning, following the murder of Baldr by Loki, the other gods brought his body down to the sea and laid him to rest on the ship. They would have launched it out into the water and kindled a funeral pyre for Baldr but were unable to move the great vessel without the help of the giantess Hyrrokkin, who was sent for out of Jötunheim. She then flung the ship so violently down the rollers at the first push that flames appeared and the earth trembled, much to the annoyance of Thor. Along with Baldr, his wife Nanna was also borne to the funeral pyre after she had died of grief. As Thor was consecrating the fire with his hammer Mjolnir, a dwarf named Litr began cavorting at his feet. Thor then kicked him into the flames and the dwarf was burned up as well ...