Tit about the size of a sparrow living in the mountains

They have a black pattern from the forehead to the nape of the neck and a large triangular black pattern on the throat, and the upper back and belly are bright orange. They are about the size of a sparrow and often lives in slightly higher mountain areas, but in winter, when the temperature drops, they may come down to the flatlands and can be seen even in urban areas.
It is said that they were often kept as pets in the past because they are intelligent birds that could learn simple tricks, but they are beautiful birds that sing with a very beautiful voice even if they don't learn tricks.