Tallit Blessings

If I recall correctly, if someone wears multiple tzitzit garments or tallitot during the day, he must make a blessing on each one unless he had them in mind when making the first blessing.

Can someone who later wears a tallit gadol make a blessing on a tzitzit garment with two intentions: 1) that the tzitzit garment should not coverer the later blessing of the tallit gadol, and 2) that the later blessing on the tallit gadol should not cover the tzitzit garment?

Or one can't make a tnai and it automatically works where the talit katan is yotze by talit gadol

I have always been troubled by the idea that someone may put on a tzitzit garment without a blessing and fulfill the blessing through the tallit gadol worn later.

Shalom!

Thank you for your question.

The laws of the blessing on a Tallit garment are very similar to the laws of the blessings on food: 1. what you have in mind is covered by the current blessing and 2. you can also have in mind to exclude certain foods.

Common custom is for a man to make a blessing on his Tallit gadol which also covers his Tallit katan.

This is in response to the above answer: 

Shavua tov,
Confirming that one may make a bracha on Tallit katan and be mutzai the Tallit gadol later on (similar to food)?

When a man puts on a Tallit katan, he doesn't make a bracha on it and is yutzai with the bracha that he makes on the Tallit gadol (later on).
Rhetorical question: am I able to eat a piece of fish, not make a bracha on it, and make hamotzai later on and be mutzai the piece of fish I ate earlier?

First question:

Yes, as long as he is still wearing the tallis katan. However, if he took it off, he would have to make a brachah on the tallis katan only if there was a break of a few hours, such as from morning until noon.

Second question:

Yes. The Mishnah Berurah (Siman 8, se’if katan 24) writes that this is the best way to do it for several reasons.

Rhetorical question:

In this instance, it is not comparable to food. In the case of the fish, he must recite a blessing before eating it. However, since he is still wearing the tallis katan when he later puts on the tallis gadol, the tallis katan can be exempt with that brachah.

The Mishnah Berurah (ibid.) explains that the custom to do so is becouse it is preferable to recite the brachah on the tallis gadol.

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