How to farm Echoes of Nyalotha and the new droprates

Activity

Echoes of Ny´alotha

Assault - Black Empire

625 

Assault - Aqir/Amathet/Mantid/Mogu

375

Horrific Visions

250 Kill main boss (Thrall/Alleira)
125 each objective completed

750 Full completion

Emissary Quest

250

Heroic Darkshore Warfront

375

Raid

LFR
Normal
Heroic
Mythic

125 per wing completed
75 per boss
100 per boss
125 per boss

PvP

Random Battleground
Rated Arena wins
Rated Battleground win
Weekly PvP Cache

75-125
50-125 (Scales with PvP rank)
175 (Scales with PvP rank)
875-1500 (Based on PvP rank)

Mythic Dungeons

End of Run chest
Weekly Mythic Keystone Cache

15 per Keystone Level 
100 per highest Keystone level