+@item Epimoria or Superparticular [orig. @emph{Epimoria seu Superparticularis}],
+if the major number is one more than the minor (3:2, 4:3, 5:4); and its
+inverse, Subsuperparticular (2:3, 3:4, 4:5)
+
+@item Superpartiens, if the major number is one less than twice the minor
+(5:3, 7:4, 9:5, 11:6); and its inverse, subsuperpartiens (3:5, 4:7, 5:9, 6:11)
+
+@item Multiplexsuperparticular, if the major number is one more than twice the
+minor (5:2, 7:3, 9:4); and its inverse, Submultiplexsuperparticular (2:5, 3:7,
+4:9)
+
+@item Multiplexsuperpartiens, if the major number is one less than some other
+multiple (usually three or four) of the minor (8:3, 11:4, 14:5, 11:3); and its
+inverse, Submultiplexsuperpartiens (3:8, 4:11, 5:14, 3:11)
+
+@end enumerate
+
+He then continues to subdivide each type in various ways. For the multiplex
+proportions, for example, he indicates how many times greater the major number
+is than the minor:
+
+@itemize
+
+@item If two times greater, the proportion is @emph{dupla}. If inverted, it's
+called @emph{subdupla}. Examples: 2:1, 4:2, and 6:3.
+
+@item If three, @emph{tripla}; and its inversion, @emph{subtripla}. Example:
+3:1, 6:2, and 9:3.
+
+@item If four, @emph{quadrupla}; and its inversion, @emph{subquadrupla}.
+Example: 4:1, 8:2, and 12:3
+
+@end itemize
+
+Other proportions were possible, but whether they were frequently used is
+another question:
+
+@itemize
+
+@item 33:9, @emph{triplasuperbipartientetertias}
+@item 51:15, @emph{triplasuperbipartientequintas}
+
+@end itemize