In short distances whereby the sound and the hearer are in the same “moving elevator” with respect to the Universe, if they are not moving away or towards each other, the fundamental frequency should remain stable enough for a decent enough measurement. That can change under duress and it’s never zero red/blueshift so it’s more like a “blob” of absolute pitch rather than a razor thin line of precision. Nevertheless, the decimal point precision usually has to stop someone given that the limitations of human measurement rather coincide with human limitations in general. Pitch can be determined down to 1/1000s or one millisecond without aid once it begins its periodicity; arguably oscillations remain stable-enough due to kuramoto

In short distances whereby the sound and the hearer are in the same “moving elevator” with respect to the Universe, if they are not moving away or towards each other, the fundamental frequency should remain stable enough for a decent enough measurement.
That can change under duress and it’s never zero red/blueshift so it’s more like a “blob” of absolute pitch rather than a razor thin line of precision.
Nevertheless, the decimal point precision usually has to stop someone given that the limitations of human measurement rather coincide with human limitations in general.
Pitch can be determined down to 1/1000s or one millisecond without aid once it begins its periodicity; arguably oscillations remain stable-enough due to kuramoto

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