Comment by ce4
It does make sense though (once you know where it comes from):
Before the ubiquity of watches, time was announced using church clocks and bell strikes. There's a big bell for hours (low pitch) and a smaller one for announcing quarters (higher pitch).
Signalling zero is not possible using "zero bell strikes", so 00:00 is signalled by 4 strikes of the quarters bell and 12 strikes of the hour bell.
Thus, the sequences go like:
11:15 1x quarter bell
11:30 2x quarter bell
11:45 3x quarter bell
12:00 4x quarter bell + 1x hour bell
Basically it makes sense then as all the quarters belong to the same hour.
I have used those time expressions for over 55 years. Never thought about the explanation.