Diamond stats

I've calculated the number of different kinds of triads spanning no more
than one octave playable in the various diamonds:

3-limit diamond: 16
5-limit diamond: 130
7-limit diamond: 733
9-limit diamond: 1870
11-limit diamond: 7201
13-limit diamond: 21883
15-limit diamond: 33223

These numbers include degenerate triads where one or both intervals are a
unison. For example, the 16 triads in the 3-limit diamond are (in cents):

Lower Upper
interval interval
0 0
203.9100 0
498.0450 0
701.9550 0
996.0900 0
0 203.9100
498.0450 203.9100
996.0900 203.9100
0 498.0450
203.9100 498.0450
701.9550 498.0450
498.0450 498.0450
0 701.9550
498.0450 701.9550
0 996.0900
203.9100 996.0900