@cubistguitar has identified a problem with your stated goal. I don’t think you want each gate to last the full stage time period, else you get a constant high voltage that never changes while the sequencer runs.
Assuming I understand what you are really looking for, I think my new Venom Envelope Factory (EF) coupled with a gate generator may be your best bet for achieving your goal.
Below is a patch with 15 timed gates, each with its own time control. I started with the Timed Step Sequencer preset and increased the stage count to 15 via the context menu. I chose to use my AD/ASR envelope generator as a precise gate generator. The rise gate output is the actual gate output that is used.
Timed gate sequencer.vcv (4.3 KB)
Each EF stage is configured to produce a trigger at the Gate Trigs output. Those triggers activate the AD/ASR. Each EF stage is set to 0.2 sec, and the AD/ASR rise time is set to 0.1 sec, so the gate is 50% of the EF stage time. The EF stage Level controls are used to modulate the time for each stage.
The levels are output at the Env output, which feeds the EF V/Oct input. So each positive volt halves the time, and each negative volt doubles the time. The same EF Env output modifies the AD/ASR rise time with the attenuverter set to -100%, so it also acts V/Oct. In this way the 50% duty cycle is preserved for all timings.
You can adjust the relative time of all stages via the EF Off knob or CV input.
I configured the first stage to represent a 1/2 note. The next 2 stages are individually twice as fast, representing 2 1/4 notes. Then comes 4 1/8 notes, followed by 8 1/6 notes, and then the sequence repeats.
You can disable a stage gate by deactivating the stage trigger output using the small button below and left of each Gate label.
Press the EF Gate button to toggle the run state on and off. Or keep the button off and use your own gate CV at the Gate input to control the run state. The sequence always completes before the sequencer stops.
Press the EF Retrig button to reset to the beginning of the sequence at any time. Or use your own trigger CV at the Retrig input. The input is stackable, like all VCV inputs.
If this setup is not what you are looking for, I am sure there is some variation with Envelope Factory that will work for you.