An Expansion of Well Tempered Gravity
  When faced with two nigh intractable problems in cosmology -- how to remove
the original cosmological constant problem and how to parametrize modified
gravity to explain current cosmic acceleration -- we can make progress by
counterposing them. The well tempered solution to the cosmological constant
through degenerate scalar field dynamics also relates disparate Horndeski
gravity terms, making them contrapuntal. We derive the connection between the
kinetic term $K$ and braiding term $G_3$ for shift symmetric theories
(including the running Planck mass $G_4$), extending previous work on monomial
or binomial dependence to polynomials of arbitrary finite degree. We also
exhibit an example for an infinite series expansion. This contrapuntal
condition greatly reduces the number of parameters needed to test modified
gravity against cosmological observations, for these "golden" theories of
gravity.
