The 65625/65536 corner clippers

The denominator is a power of two, so these are not just clippers but
corner clippers; we get 23 notes. There are ten major and nine minor
triads; marvel tempering gives three additional triads of each kind,
and tempering by 65625/65536 adds an additional minor triad. There are
five major and four minor tetrads; tempering by 225/224 adds three
each to the major and minor tetrads. Tempering by 6144/6125 adds two
each to the major and minor tetrads. Tempering by 3136/3125 adds one
each to the major and minor tetrads. Tempering by 65625/65536 adds a
minor tetrad.

There aren't any pure quintads, but 225/224 will give six of each
kind; also 385/384 will add five 11/8 intervals, though no complete ones.