Trinity

Trinity is a T-Spin setup that allows for three T-Spin Doubles. This is a fancy setup, although arguably if you can do your T-spin earlier it is preferred. If no T is in sight, you may opt to invest into forming a Trinity. Also note that not all Trinity setups will give you the option of TSD Declined. Depending on which side your "hang" is on, you may be left with a S-Spin Triple or Z-Spin Triple instead.

Abyss
 3 TSD 

 TSD Declined 

TKI 3 Replacement
TKI 3 Setup

Chopin Signature Trinity
Continuation into DT Cannon

Rather than using your I-mino on the top left to complete the last T-Spin double, you can instead use a J and a hang to transform the remaining shape into a DT Cannon.