Accidentals, Purity, and Audit

Purity Is True over Total

True coincidences and accidentals form a checked fraction. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

True and accidental rates add

A true rate of 4 hertz plus 12 hertz accidentals gives 16 hertz total.

4+12=164+12=16
Coincidence purityTrue and accidental rates form a purity fraction.true=4 Hzacc=12 Hztotal=16 HztrueRate=4 HzaccidentalRate=12 HztotalRate=16 Hzpurity=1/4 ratio

Purity is the true part of the total

The purity is 4 over 16, which reduces to 1/4.

4/16=1/44/16=1/4
Coincidence purityTrue and accidental rates form a purity fraction.true=4 Hzacc=12 Hztotal=16 HztrueRate=4 HzaccidentalRate=12 HztotalRate=16 Hzpurity=1/4 ratio