Tha is the tenth of the thirty consonants and the aspirated partner of ta: a dental stop released with an audible breath. The name is a trap for an English reader, because the letter is not the th of thin and Tibetan has no interdental fricative of any kind. The h in the transliteration marks aspiration on the letter before it, as it does in kha, cha, pha and tsha, and it never stands for a separate sound.
In modern Lhasa speech ta and tha have merged as an aspirated dental with high tone, following the pattern set by the velar and palatal lines above. Tha is a root letter with no orthographic office, and it takes the ra and wa subscripts.
Its place in the recitation is the third repetition of a single pattern: a place of articulation, four letters, unaspirated then aspirated then voiced then nasal. By the time a reciter reaches tha the pattern is established well enough to be predicted, and the value of the arrangement is that it turns thirty separate shapes into a small number of positions. A letter is not learnt on its own; it is learnt as the second of the dentals, and its sound, its tone behaviour and its relation to the letter before it all follow from that.
The transliteration difficulty is worth a further word, because it recurs across the alphabet. Any roman rendering of Tibetan that puts an h after a consonant is marking aspiration on that consonant, and a reader who takes tha, pha, cha and tsha as digraphs of the English kind will mispronounce a third of the letters.