MATHS emits End-Of-Rise and End-Of-Cycle gates that let one channel trigger another

Channels 1 and 4 of MATHS each provide two event outputs: End Of Rise (EOR), which goes high (0V/10V) when the function reaches its peak, and End Of Cycle (EOC), which goes high when the function completes its full rise+fall (reaches its minimum). EOC idles HIGH when nothing is happening (inverted polarity), which matters when using it as a logic output. These gates turn MATHS from a passive modulation source into an active event generator: patching one channel’s EOR/EOC to the other channel’s Trigger chains the two — e.g. CH.1 EOR → CH.4 Trigger makes CH.4 fire when CH.1 peaks, giving a two-stage envelope. Cross-patching both channels’ end gates into each other’s triggers with both cycling yields a quadrature (90°-shifted) pair of LFOs (the Buchla-281-style pair). They also serve as pulse clocks whose timing is set by the Rise parameter, so self-patching builds rhythmic sequences and timed event chains without an external sequencer.

Examples

CH.1 EOR → CH.4 Trigger: a two-stage envelope where CH.4 fires after CH.1 peaks. CH.1 EOC → CH.4 Trigger: CH.4 fires after CH.1 completes a full cycle. CH.1 EOR → CH.4 Trigger and CH.4 EOC → CH.1 Trigger, both cycling: a quadrature LFO pair. EOR → an external clock input generates a pulse mid-envelope.

Assessment

At what moment does each of EOR and EOC go high, and why does EOC idle HIGH? Chain CH.1 and CH.4 into a single two-stage envelope using these outputs, and design a two-channel self-patched sequence using only EOR/EOC.