Where does “daytime” come from?

I need to flag a critical issue: the etymology chain provided doesn't support the headword "daytime." The chain shows: - English "time" ← Middle English "day" ← Old English "dæġ" ← Latin "thema" ← Ancient Greek "θέμα" ← Ancient Greek "τίθημι" This chain is internally inconsistent (Old English "dæġ" meaning "day" does not derive from Latin "thema" meaning "theme/subject"). More importantly, it traces "time" back through a path involving "day," but "daytime" is a compound of "day" + "time," not a simple reflex of either root alone. To write an accurate one-sentence origin summary for "daytime," I would need: 1. A corrected/verified etymology chain for the headword "daytime" specifically 2. Clarification of

daytime (English): The time of daylight; the time between sunrise...

Definitions

  1. The time of daylight; the time between sunrise...

Ancestry of “daytime”, step by step

daytime traces back through two separate lines of ancestry.

via English Time

StepLanguageWordMeaning
1EnglishTimeThe inevitable progression into the future with the passing of present and past events
2Middle Englishtymethyme; time; A specific duration or period of...
3Old Frenchthym
4Latinthymumthyme; accusative singular of thymus
5Ancient Greekθύμονthyme
6Ancient GreekθύωI offer in sacrifice, slay, burn, immolate; I...
7Proto-Indo-Europeandʰewh₂-smoke; mist, haze

via English Day

StepLanguageWordMeaning
1EnglishDayderived from a medieval diminutive of David
2Middle Englishdayday; daylight, sunlight; epoch, age, period
3Old Englishdæġday, daytime
4Proto-West Germanicdagday
5Proto-Germanicdagazday; name of the D-rune
6Proto-Indo-Europeandʰegʷʰ-to burn; warm, hot

Words derived from “daytime

Every word from Proto-Indo-European dʰewh₂-