The MATHS BOTH CV input controls the whole function's rate exponentially and inverted: positive speeds up, negative slows down

MATHS function generators have three rate CV inputs. Rise CV and Fall CV are linear and each affect one segment: positive voltage lengthens that time (slows it). The BOTH CV input instead controls the entire function’s rate, and it behaves in two ways opposite to Rise/Fall CV: its response is exponential rather than linear, and its polarity is inverted — positive control voltage shortens the total time (speeds the function up) while negative lengthens it (slows it down). This inverted exponential response is what makes BOTH the input of choice for voltage-controlled frequency modulation of a cycling MATHS (a V/oct-like sweep) and for expressive coupled attack+decay time modulation.

Examples

A positive LFO into BOTH CV of a cycling MATHS -> its frequency rises when the source is positive. Compare: the same voltage into Rise CV would lengthen only the rise and slow it.

Assessment

Send +5V to BOTH CV: does the function speed up or slow down? How does BOTH CV differ from Rise CV in both polarity and response curve?