The Eye of the World
This book (minus the prologue) starts on Winternight of 998NE. Days reckoned from dawn to dawn.
Day 0
Winternight - Rand and Tam visit Emond's Field. That evening their farm and the village are attacked by Trollocs. Day 1
Bel Tine - At dawn Rand, dragging his father, arrives at Emond's Field. That evening, Rand, Mat, Perrin, and Egwene leave with Thom, Moiraine, and Lan. Before dawn they cross the Taren. Moon only a 'thin slice less than full' (ch. 10, p. 146).
Day 2 Party heads towards Baerlon
Day 7 Party arrives at Baerlon towards evening
Day 8 Nynaeve joins the party. Party leaves Baerlon in the night. Moon in its last quarter (ch. 17, p. 251)
Day 11 Attacked by trollocs, take refuge in Shadar Logoth, party splits. Moon 'last thin sliver before the new moon' (ch. 19, p 291). [however moon shouldn't even be visible at that time of night in that phase].
I can't judge accurately how much time after this point but can give some vague estimates. Perrin and Egwene spend at least three days of travelling before meeting Elyas (ch. 23). Meet Elyas in the evening and travel with him for three days before meeting the tinkers (ch. 25) in the afternoon ('first thin sliver of a new moon' that evening) [don't ask me how a minimum of six days from the last of the old moon to the first of the new moon]. Several days with the tinkers and several more days travelling alone with Elyas. Egwene and Perrin are captured on the night of a full moon (ch. 30, p. 443 'clouds hid the full moon'). They are rescued (ch. 38) on the night of a slithered, waning moon) by Moiraine, Lan, and Nynaeve. Lan comments that the have a 'few hard days' of travelling before reaching Caemlyn.
For Rand, Mat, and Thom, there is first the river voyage towards Whitebridge, which takes at least 10 days (Bayle Domon remarks after seeing the metal tower that 'We be ten days from Whitebridge at the rate we go'). After Whitebridge the boys are on their own. First night they sleep under bushes after that either sleeping under bushes or at farmhouses for at least four days (ch. 31, p. 462, they are asked to leave one farm, three days earlier they had been chased off, and we know the first day they didn't work). After working at the Grinwell's the boys start playing the inns in the evening (first night at Arien, next morning a ride in Eazeil Forney's cart). This lasts for a few days at least also.
Day A0
Rand and Mat arrive at Four Kings. Approached by Howal Gode, darkfriend, at The Dancing Cartman. Rand channels.
Day A1 Alpert Mull gives them a lift and two scarves. Stay at Rulan Allwine's inn in Market Sheran.
Day A2 Meet Paitr, a darkfriend, at breakfast. Stay at The Queen's Man that evening (in the barn since Rand has a reaction).
Day A3 Meet a female darkfriend in the morning. Hyam Kinch gives them a ride. Pass through Carysford that evening and sleep in a haystack.
Day A4 walking. See a fade in the evening. Almen Bunt gives them a ride.
Day A5 Arrive at Caemlyn at dawn.
Rand and Mat spend at least three days in Caemlyn before the rest arrive.
Nynaeve, Moiraine, and Lan arrive in Whitebridge the day after Rand and Mat. Moiraine senses that Perrin has lost and regain his coin after Whitebridge (ch. 37).
Conclusions: I guess that it takes slightly over a lunar month from the attack at Shadar Logoth till the reunion in Caemlyn. This is mostly because of the moon which is in its last quarter at Shadar Logoth and again last quarter when Perrin and Egwene are rescued. A few days after the rescue the group is reunited (among other things Perrin still has some of his bruises).
The rest of the book is dicey for other reasons. Time does not run the same within the Ways as outside but assuming it does.
Day B0
Rand watches Logain paraded through Caemlyn. Meets Elayne. Reunion of the party that evening.
Day B1 Enter the Ways at dawn.
Day B2 Late in the day the hear the Black Wind.
Day B3 Leave the Ways at dawn. Arrive at Fal Dara
Day B4 Leave Fal Dara for the Blight. Camp near the Seven Towers
Day B5 Find the Eye of the World. Victory at Tarwin's Gap.
Day B6 Leave the now destroyed Eye of the World.
Day B7 Arrive late afternoon back at Fal Dara.
Day B14 Last scene of the book.
