
ungestört
undisturbed
Without interruption or disturbance by other people or external influences.
Endlich hatte er einen Nachmittag, an dem er ungestört ein Buch lesen konnte.
At last he had an afternoon when he could read a book undisturbed.
undisturbed
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undisturbed
Without interruption or disturbance by other people or external influences.
Endlich hatte er einen Nachmittag, an dem er ungestört ein Buch lesen konnte.
At last he had an afternoon when he could read a book undisturbed.

harmonious
A state or relationship that is free from conflicts, problems, or impairments; harmonious.
Trotz der unterschiedlichen Meinungen war ihr Verhältnis zueinander stets ungestört.
Despite their different opinions, their relationship with each other was always harmonious.
The word is composed of the prefix 'un-' (not) and 'gestört' (past participle of 'stören' (to disturb)). So it literally means 'not disturbed', which is the basis for both meanings.
Bitte sorge dafür, dass ich die nächste Stunde ungestört telefonieren kann.
Please make sure that I can make phone calls undisturbed for the next hour.
In the meaning 'ohne Unterbrechung' (without interruption), 'ungestört' (undisturbed) is very often used like an adverb and then usually stands directly after the verb. It describes how an action is carried out.
Am Wochenende möchte ich einfach nur ungestört ausschlafen.
At the weekend I just want to sleep in undisturbed.
In the meaning 'harmonisch' (harmonious), 'ungestört' (undisturbed/harmonious) usually describes a relationship between people or groups. A typical combination is 'ein ungestörtes Verhältnis zu jemandem haben' (to have an undisturbed/harmonious relationship with someone).
Trotz der Scheidung haben die Eltern ein ungestörtes Verhältnis zueinander.
Despite the divorce, the parents have a harmonious relationship with each other.
quiet / calm
Both words can fit a pleasant working situation. ruhig mainly describes little noise or disturbance, while ungestört emphasizes that no people or external influences interrupt the activity. Use ruhig for the atmosphere and ungestört when the absence of interruptions is important.

In dem Büro konnte ich ungestört arbeiten, weil niemand hereinkam.
I was able to work undisturbed in the office because no one came in.
In dem ruhigen Büro konnte ich mich gut auf den Bericht konzentrieren.
I was able to concentrate well on the report in the quiet office.