[... momentarily pondering whether there is more to life than counting the number of waves of certain edged weapons ...]
Going back to Krieger's manner of counting the waves, apparently he counts the pairs of waves, and not the individual waves.
Thus in the attached photo in his book, in the text he described certain blades as follows:
[1] Blade No. 1: two waves;
[2] Blade No. 5: five waves; and
[3] Blade No. 7: eleven waves.
I'm not saying Krieger's manner of counting should be it. I'm just pointing out the way he did it
