I think I don't completely understand your idea. The current flowing through the amperemeter¹ depends on the voltage and the resistance of the incandescent(?) lamp. To vary current by the minute, you would need a digital resistor or potentiometer, I guess. Is that your suggestion?
¹) I just found out that it is more commonly called 'ammeter' in English - which is so unintuitive that I prefere 'amperemeter'.
If you have a feedback loop I'm sure you can still do it with an either implicitly or explicitly filtered PWM. Remember we're talking averages not instantaneous, so the average current through the bulb should be proportional to the average voltage across it, though the resistance will change as the bulb heats hence the feedback. You could also do this with a buck/boost regulator and current sense resistor plus op amps to create a constant current supply.
"average current through the bulb should be proportional to the average voltage across it" That is exactly correct, the reason they were seeking clarification, and the core of suggested solution.
V=I*R
If V = Hours and I = Minutes, then by necessity R=Hours/Minutes. Typically a light bulb has mostly fixed resistance (R). Adding a potentiometer to the circuit allows you control the value of R.
So lightbulbs actually dont have fixed resistance. The tempco is pretty big, and temperature of course depends on power (with an annoyingly large time lag when power is reduced).
That being said, the bulb does have a well-defined resistance at a given point in time, so voltage and current are of course not quantities that can be indefinitely controlled.
This falls into the same category as “why isn’t my power supply with voltage and current controls working correctly?!?”
Oh - it didn't occur to me that the original poster might have thought about three different circuits - one with a voltmeter, one with an amperemeter, and one driving the light bulb. Maybe that was their intention.
I originally assumed that the bulb would be somehow connected to voltmeter and amperemeter.
Iridescence essentially would mean it has a groovy, far-out metallic layer making rainbows on the surface. Not bad, but irrelevant.
PS: Neither of those would really communicate the needed information, except as an extreme (11:59 pm would look just like 10:27 pm, but very different from 12:01 am).
¹) I just found out that it is more commonly called 'ammeter' in English - which is so unintuitive that I prefere 'amperemeter'.