You Do Need power plug adapter while traveling from Turkmenistan to Martinique.

Here is Why You Need An Adapter

The outlet and plug type used in Martinique are C, D and E and in Turkmenistan are C and F. This is how they look like.

Turkmenistan

In Turkmenistan, outlets of type C and F are in use.

Type C

Type F

Martinique

In Martinique, outlets of type C, D and E are in use.

Type C

Type D

Type E