I agree that counting from zero has nice properties. But I must concede that e.g. in music, the surrogate for zero is the "first" beat. You are basically counti

I agree that counting from zero has nice properties. But I must concede that e.g. in music, the surrogate for zero is the "first" beat. You are basically counting when intervals of time start, not when they end. The first second ends with the second beat (pun intended). |------------|------- t0 t1 ^ ^ First Second