I have a question about the term quarter note. I thought of putting clarity in the question by doing a little calculation.
Let us say BPM = 120 .So Beat time is 0.5 s. So in 4/4 signature the quarter note lasts for 0.5 s. Now measure time is 0.5x4 = 2 seconds. And the quarter note really occupies a quarter of measure time.
But suppose we have 3/4 signature. Again,say, BPM is same so beat time is 0.5 s. So this is the duration of the quarter note. But now the measure time is 3x0.5 = 1.5 s. So quarter note really lasts for 1/3 rd of measure time. Still it is called a quarter note? Or is it simply understood that a quarter note is a true quarter note only in relation to 4/4 signature?