Dividing into groups with 5 glyphs (for fingers and fire) in each can result in this pattern:
52
26
26
28
28
30
46
23
23

The first 10 periods have 2 * 26 = 52 'feathers' together. Then comes 5 periods with together 28 'feathers'. In order to let the 10 last periods (22-31) generate 2 * 23 = 46 'feathers' I have extended the 4th group to have 6 periods, together generating 30 'feathers'. 26 + 26 + 28 + 30 + 46 = 156.

However, another and better solution is to let also the 4th group have 5 periods, in which case the 4th group will have 26 'feathers'. It is a nice solution with the first 4 groups  accumulating 20 periods and a total of 26 + 26 + 28 + 26 = 106 'feathers'.

The rest will then be 11 periods with 50 'feathers', distributed as 1 + 10 periods with 4 + 46 'feathers':

1 - 5 26 1 and 10 both have 6, thereby defining a 10-period group with 52 'feathers'.
6 - 10 26
11 - 15 28 slanting henua top in 15 isolates 28 from the following 26
16 - 20 26 'ghostly' henua in 11 and 16 knit 28 and 26 together into a 10-period group with 54 'feathers'
21 4 betwen the 20th period and the last 10
22 - 31 46 46 is not possible to divide into 26 + 20
sum 156 52 + 54 + 50

In other words: 156 can be regarded as thrice 52. Or, rather as 12 * 13, a calendar for the sun.