What the new sun 'garment' consists of is made rather clear from reading in The Golden Bough:

"... O my God, upon the plain, // Send thou us a still, small rain; // That the fields may fruitful be, // And the vines in blossom we may see; // That the grain be full and sound, // And wealthy grow the folks around.

In time of drought the Serbians strip a girl to her skin and clothe her from head to foot in grass, herbs, and flowers, even her face being hidden behind a veil of living grass ..."

"Bathing is practised as a rain-charm in some parts of Southern and Western Russia. Sometimes after service in church the priest in his robes has been thrown down on the ground and drenched with water by his parishioners. Sometimes it is the women who, without stripping off their clothes, bathe in crowds on the day of St. John the Baptist, while they dip in the water a figure made of branches, grass, and herbs, which is supposed to represent the saint."

In the text of K the events are somewhat similar it seems, 53 is like 29, a dark number:

Ga5-4	Ga5-5 (116 = 4 * 29)		Ga5-6	Ga5-7	Ga5-8	Ga5-9
-				-	-	-
	Kb1-9 (106 = 2 * 53)	Kb1-10	Kb1-11

Let us try to create a table for K similar to that in G:

207		148	115
	Gb4-3 (324)			Ga5-5 (116)
208 = 4 * 52		264 = 4 * 66
472 = 4 * 118

These are the maitaki glyphs of K, and Kb4-13 at 166 maybe should be our choice for a glyph similar in function to Gb4-3:

Ka1-21	Ka1-24	Ka4-5	Ka4-8	Kb1-9 (106)	Kb1-13
Kb4-10	Kb4-13 (166)	Kb4-18	Kb5-15

The distance from Kb1-9 to Kb4-13 (where 4 * 13 = 52) is 59 = 2 * 29.5:

105		59		26
	Kb1-9 (106)		Kb4-13 (166)

Rearranging, we find the twin quarters:

26	105		59
		Kb1-9 (106)		Kb4-13 (166)
132 = 4 * 33			60 = 4 * 15
192 = 4 * 48

'St. John' has 60 days, a solar double-month, for his business of creating greenery, while 'St. James' has 132 days (= twice 66 days) for the celestial creations needed before that. First light in the sky, then rain on earth.