Unachievable Logbook Entry

I have played 10 play-throughs with an average of about 40 stages each. After using the scanner to SCOUR EVERY STAGE and using the Bazaar to make sure the next stage is one of the 3 that the Cleansing Pool can spawn on, I cannot, for the life of me seem to get a Cleansing Pool to spawn so I can unlock the Peal in my Logbook, let alone the Irradiant Pearl. It says the spawn rate for these pools is 13.2%? I call bs. I even grabbed 25 Clovers! :angry: :angry: :angry: