Hi and sorry if I am always asking you a lot of questions
But books are sometimes unclear and teachers often say so!
There is one thing I really don't understand, and that is why all the books call 4/4 or 2/4 a "fraction"?
My teacher says it is not a fraction! But then why do the texts say fraction?
No, because then the concept of numerator and denominator would also be wrong.
The books call 2 the numerator and 4 the denominator, using 2/4 as an example (but if it's not a fraction, we cannot speak of numerator and denominator)
And if 4/4 is not a fraction as the books say, then what is it? It's certainly not the tempo, which is the speed of the piece (like Allegro - 120 bpm for a quarter note)
Then the concept of "movement" is also wrong. For example, 4/4 consists of two movements on the downbeat and two on the upbeat (that's how books write it), but in reality, these are not movements but accents. So why don't they say 2 accents on the downbeat and two on the upbeat?
I have understood that 4/4 is the meter, the metric (the unit of measurement) of the piece, which can then change (indicating a different meter during the course of the piece, obviously).... I don't know, if the piece starts in 4/4 it can change to 2/4 and then return to 4/4... etc.
According to the classification in textbooks, speaking of simple and compound meters, it explains that for example, the fraction 2/4 indicates 2 as the numerator and 4 as the denominator, meaning 2 indicates the number of beats (that are in the measure) and 4 the value of the beats (1/4), but it is wrong to say it like that!
It would be correct instead to say that: 2 is the number of accents and 4 the value of the single accent (referring to the 2/4 meter)
For example, this sentence: The simple binary meter is formed by two beats in which the first beat (of the first movement) will be strong and the second weak. E.g., 2/2, 2/4, 2/8.
is wrong according to what I am studying; it is correct instead to say: The simple binary meter is formed by two accents in which the first accent will be strong and the second accent weak. E.g., 2/2, 2/4, 2/8.
Did I do well, friends?
Thank you and sorry for the doubts, but as you can see, it is sometimes the books that are wrong
PS: In the sentences where I increased the size, I did so to better highlight the importance of the matter
To summarize
In the end, what they teach as a fraction is the meter (example 4/4) - where the first (4) is the number of accents we will find in the measure and the second (4) is the value of each single accent, which will be: first accent strong, second weak, third mezzo-forte, fourth weak in the case of 4/4
Then, the movements on the downbeat and upbeat are always the accents; in the case of 4/4, two accents on the downbeat and two on the upbeat..