This Te Deum - HobXXIIIc:2 - is the more-usually-performed second of the two Haydn composed. If instead you really wanted the first, less-frequently-performed, one, HobXXIIIc:1, you will find that here.
Here is a "clickable" Table of the available Midi Files for this Work:-
|Te Deum Laudamus|
|Te Deum Laudamus (English)|
|Te Deum Laudamus (Latin)|
That's the end of the Work.
And if something doesn't work properly, please let me know (see the "Comments" section of my Homepage).
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