Morrowind includes four new crafting Motifs. How to obtain the chapters and style items are revealed as follows.
Ashlander
Crafting Motif 48: Ashlander Style
Complete the relic and hunting daily quests in Ald’ruhn in Vvardenfell to find Ashlander Motif chapters.
The style item, Ash Canvas, comes from those same activities, more commonly than chapters.
Buoyant Armiger
Crafting Motif 47: Buoyant Armiger Style
Find Buoyant Armiger Motif chapters by opening treasure chests. While exceptionally rare, they appear more often for players who have completed Vvardenfell’s main quest line and restored Vivec’s power, or for players who have completed the museum quest. Completing both results in the best possible chance of finding these Motif chapters. Even so, they are quite the rare find indeed.
The style item’s raw component, Viridian Dust, can be found by harvesting cloth, metal, and wood throughout Vvardenfell. The more chapters of the Buoyant Armiger style you know, the likelier you are to find it, but even if you don’t know anything about how to craft Buoyant Armiger, you still have a chance to find some. Once you’ve found 10 of the raw material, refine it at any equipment-crafting station to craft Volcanic Viridian, which can then be used to craft in the Buoyant Armiger style. Requires Rank 10 of any of the Metalworking, Tailoring, or Woodworking passives.
Militant Ordinator
Crafting Motif 49: Militant Ordinator Style
Colotarion, the Battleground Elite Merchant in the Vivec City Battlegrounds camp, sells Militant Ordinator chapters exclusively. The chapters cost a significant amount of Alliance Points (AP), earned through PvP combat in Cyrodiil, the Imperial City, or Battlegrounds. The chapters cost as much as 500,000 AP.
The style item is sold by the same Merchant in its raw form, Dull Sphalerite, for 5,000 AP apiece. You must obtain ten of these, refine them into Lustrous Sphalerite at an equipment-crafting bench, and then use that to craft an item in this style. Requires Rank 8 of any of the Metalworking, Tailoring, or Woodworking passives.
Morag Tong
Crafting Motif 30: Morag Tong Style
Morag Tong chapters are found by completing the world boss and delve boss daily quests in Vvardenfell. They drop rarely, so they’re not a guarantee.
The style item, Boiled Carapace, is found the same way, but more commonly.