Square waveWhat the signal shape you need?, saw tooth, square wave?, modified, or sine wave?, etc
Maybe they don't understand me. In this circuit after the useful cycle is set, for example at 5% at 10 Hz; Leaving the useful cycle potentiometer untouched, by varying the frequency, for example to 200 Hz, the useful cycle will vary, and it is desired that it remain at 5%.This can also be done without a 555 since the LM339 is a Quad Comp.
https://tinyurl.com/24smzzse
It can do 0 to 100% or here tweaked R's for <1% to > 99% PWM.
The Feedback fixed R may be a 100k or more pot depending on required range of freq. scaled by C.
Vcc can be anything up to the limit but adjust pullup for current limit and speed response.
The adjustments are independent and the design is the same ,but input bias currents may be a problem on yours or choice of pot values.
If you mean does the duty-cycle stay the same with a change in frequency, yes the circuit in post #23 also does that.Thank you all very much for your time. If it is the other way around, after setting the useful cycle by varying the frequency, keep it

.Then I explain. Excuse me now
That is a very small error band. To achieve that you will need opamps or comparators with very low input offset voltage errors and input bias currents, and very low temperature coefficients of both. Also, a timing capacitor with very low dissipation, and high precision resistors. Finally, since we know nothing about the ambient environment where the circuit will be operating, try to match the temperature coefficients of R4, R5, and R6 (schematic #33).I want to simulate this idea in the frequency range 10-250 Hz to see how much the variation is, I think it should not vary more than 0.1%.