Zeus - Jupiter HH 23 I will sing of Zeus, best among the gods and greatest, all-seeing, the lord of all, the fulfiller who whispers words of wisdom to Themis as she sits leaning towards him. Be gracious, all-seeing son of Cronos, most excellent and great! sky, “cloud-gatherer” lightning (epiphany, kataibatês), aegis eagle, bull, oak Crete, Olympia liberator, oaths, xenia, sexual potency, father of gods and men fate (moira or aisa) and judge, justice, kings Metis, Themis, Demeter, Memory, dios
Poseidon - Neptune HH 22 I begin to sing about Poseidon, great god, shaker of earth and fruitless sea, god of the deep who is also lord of Helicon and wide Aegae. A two-fold office the gods allotted you, O Shaker of the Earth,  to be a tamer of horses and a saviour of ships! Hail, Poseidon, earth-holder, dark-haired lord! O blessed one, be kindly in heart and help those who voyage in ships! potei - lord, Pylos, Troizen, Athens and Erechtheus, Amphitrite, Homeric sea-god, earth shaker, horse-tamer, trident, Triton
Hades - Pluto HH 2.18-19 The lord, Host of Many, with his immortal horses sprang out upon her — the Son of Cronos, He who has many names. 83-7 Aidoneus, the Ruler of Many, is no unfitting husband among the deathless gods for your child,  being your own brother and born of the same stock: also, for honor, he has that third share which he received when division was made at the first, and is appointed lord of those among whom he dwells. See Il. 11.89-92 invisible, a-(v)ide host of many, husband of Persephone, chthonian Elysium and Tartarus
Hera - Juno HH 12 I sing of golden-throned Hera whom Rhea bore. queen of the immortals, surpassing all in beauty: she is the sister and the wife of loud-thundering Zeus, the glorious one whom all the blessed throughout high Olympus  revere and honor even as they do Zeus who delights in thunder. hora ripe for marriage?, fem. of hero ? Argos and Samos cow-eyed, peacock sacred mariage, hieros gamos, motherhood? Hebe, Ares, Hephaestus Eileithyia: corruption of Eleuthyia, “the Coming”
Demeter - Ceres HH 13 I begin to sing of rich-haired Demeter, revered goddess, of her and of her daughter lovely Persephone. Hail, goddess! Keep this city safe, and govern my song. Demeter and Persephone treated together mother and daughter (kore) Da/mater Dorian Eleusis, grain
Hestia - Vesta HH 24 Hestia, you who tend the holy house of the lord Apollo, the Far- shooter at goodly Pytho, with soft oil dripping ever from your locks, come now into this house, come, having one mind  with Zeus the all-wise — draw near, and withal bestow grace upon my song. Delphi has the communal hearth of all of Greece hearth, virgin, tended by daughters sacred fire, hearth of home and public buildings first and last born of Rhea stay at home symbol of a family line libation replaced as non-anthropomorphic HH 29 Hestia, in the high dwellings of all, both deathless gods and men who walk on earth, you have gained an everlasting seat and highest honor: glorious is your prize and your honour.  For without you mortals hold no banquet, — where one does not duly pour sweet wine in offering to Hestia both first and last. And you, Slayer of Argus, Son of Zeus and Maia, messenger of the blessed gods, bearer of the golden rod,  giver of good, be favorable and help us, you and Hestia, the worshipful and dear.  Come and dwell in this glorious house in friendship together;  for you two, well knowing the noble actions of men, aid on their wisdom and their strength.
Athena - Minerva HH 11 Of Pallas Athena, guardian of the city, I begin to sing. Dread is she, and with Ares she loves deeds of war, the sack of cities and the shouting and the battle. It is she who saves the people as they go out to war and come back. Pallas of Athens, Polias, parthenos, heroes aegis, owl, grey/green eyed, military, crafts, olive tree Zeus and Metis, Panathenaia HH 28 I begin to sing of Pallas Athena, the glorious goddess, bright-eyed, inventive, unbending of heart, pure virgin, saviour of cities, courageous, Tritogeneia. Wise Zeus himself bore her  from his awful head, arrayed in warlike arms of flashing gold, and awe seized all the gods as they gazed. But Athena sprang quickly from the immortal head and stood before Zeus who holds the aegis, shaking a sharp spear... the bright Son of Hyperion stopped his swift-footed horses a long while, until the maiden Pallas Athena  had stripped the heavenly armour from her immortal shoulders. And wise Zeus was glad.
Ares - Mars HH 8 Ares, exceeding in strength, chariot-rider, golden-helmeted, strong in spirit, shield-bearer, saviour of cities, harnessed in bronze, strong of arm, unwearying, mighty with the spear, O defence of Olympus, father of warlike Victory, ally of Themis,  stern governor of the rebellious, leader of righteous men, sceptred king of manliness, who whirl your fiery sphere among the planets in their sevenfold courses through the aether where your blazing steeds ever bear you above the third firmament of heaven; hear me, helper of men, giver of dauntless youth!  Shed down a kindly ray from above upon my life, and strength of war, that I may be able to drive away bitter cowardice from my head and crush down the deceitful impulses of my soul. Restrain also the keen fury of my heart which provokes me to tread  the ways of blood-curdling strife. Rather, O blessed one, give you me boldness to abide within the harmless laws of peace, avoiding strife and hatred and the violent fiends of death. Thracian, Aretê Aphrodite as cult-partner, wolf Il. 5. 888 “Don’t sit by me and whine, you renegade.  Most hateful to me art you of all gods that hold Olympus, for ever is strife dear to you and wars and fighting. You have the unbearable, unyielding spirit of your mother, Hera; her can I scarce control by my words.”
Hephaestus - Vulcan HH 20 Sing, clear-voiced Muse, of Hephaestus famed for inventions. With bright-eyed Athena he taught men glorious crafts throughout the world, — men who before used to dwell in caves in the mountains like wild beasts.  But now that they have learned crafts through Hephaestus the famed worker, easily they live a peaceful life in their own houses the whole year round. Be gracious, Hephaestus, and grant me success and prosperity! non-Greek name, Lemnos smith, workshop accompanied by Cyclopes connection to Athena and Athens Hephaesteum lame connection to poet Fire volcano