Why is the octave triplet a beat?

Free division of rhythm is a special form of rhythm division, and its number is inconsistent with the basic division. Which is the form of Legato. Converting a quarter note into three octaves of equal duration is called a triplet. There are triplets, sextuplets, sextuplets and so on. There are also two heritages, that is, only three beats, six beats and nine beats of music can see the two heritages.

No, when a quarter note is taken as a beat, three octaves are taken as a beat and a half. Two octaves is a beat, and three octaves is a beat and a half, isn't it? However, you didn't read my explanation carefully: "If the rhythm is divided freely, its quantity is inconsistent with the basic division, which is called a special form of rhythm division. That is, in the form of Legato. " The reason why a 3 is added to the triplet with a connecting line means that these three octaves can only be demonstrated as a beat. Remember: the triad is a whole and must not be disassembled.

You should read my solution carefully and you will understand.