Fragments

Each type can come in Fragments, Essences, and Hearts

Type	Fragment Minimum	Fragment Trivial	Essence Minimum	Essence Trivial	Heart Minimum	Heart Trivial
Ascension	21	31	52	62	85	95
Blasting	23	33	54	64	87	97
Compassion	30	40	61	71	94	104
Damnation	24	34	55	65	88	98
Destruction	28	38	59	69	92	102
Elemental Heart
Knowledge	32	42	63	73	96	106
Light	1	12	33	43	66	76
Might	9	19	40	50	73	83
Rage	13	23	44	54	77	87
Rejuvenation	12	22	43	53	76	86
Shadow	6	16	37	47	70	80
Soul	15	25	46	56	79	89
The Unseen	18	28	49	59	82	92
Water	5	15	36	46	69	79
Willy	27	37	58	68	91	101

With 5 fragments, you can 'assemble fragment of <type>' to make an essence. With 5 essences, you can 'assemble essence of <type>' to make a heart.

Alternatively, you can 'shatter heart of <type>' to make 5 essences. You can also 'shatter essence of <type>' to make 5 fragments.

Mixing When Assembling

When combining fragments or essences, the average (always rounded down) of their qualities results in an essence or heart of that grade. It does not appear after some preliminary testing that there's any weighting to the scale.

Grade	Value
Worthless	1
Crude	2
Poor	3
Average	4
Good	5
Superior	6
Legendary	7

As an example, assembling 4 good fragments and a worthless fragment results in an average essence.

4*5 + 1*1 = 21.

21 / 5 = 4 rounded down.

Since good and average gems have the same effect when gemchanted or smithed, this may come in handy.