die Monatsschrift
monthly periodical
A magazine, journal, or other publication that appears regularly once a month.
Er abonniert eine wissenschaftliche Monatsschrift für Geschichte.
He subscribes to a scholarly monthly periodical on history.

monthly periodical
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monthly periodical
A magazine, journal, or other publication that appears regularly once a month.
Er abonniert eine wissenschaftliche Monatsschrift für Geschichte.
He subscribes to a scholarly monthly periodical on history.

This word is a compound made up of 'Monat' (month), the linking element '-s-', and 'Schrift' (writing/publication). Here, 'Schrift' can mean a publication or a written work. Literally, then, it is a 'Schrift des Monats' (writing/publication of the month).
Diese Monatsschrift informiert über die neuesten Forschungsergebnisse.
This monthly periodical provides information about the latest research findings.
Common verbs used with 'Monatsschrift' (monthly periodical) are 'erscheinen' (to appear/be published), 'herausgeben' (to publish), and 'abonnieren' (to subscribe to). These verbs describe the life cycle of a publication.
Die Fachgesellschaft gibt eine eigene Monatsschrift heraus.
The professional society publishes its own monthly periodical.
The term 'Monatsschrift' (monthly periodical) is often used for serious, specialist, or academic publications. It sounds more formal than the word 'Zeitschrift' (magazine/journal).
In der juristischen Monatsschrift wurde ein wichtiger Fall diskutiert.
An important case was discussed in the legal monthly periodical.
magazine / journal
'Zeitschrift' and 'Monatsschrift' can both mean a regularly published publication with articles. 'Zeitschrift' is the general and very common term; it can appear weekly, monthly, or on another schedule. 'Monatsschrift' is more specific because it says that the publication appears once a month. The word also sounds somewhat more formal or traditional than 'Zeitschrift'. They can be confused because a monthly periodical can also be a magazine or journal. If the monthly schedule is important, 'Monatsschrift' fits. Otherwise, 'Zeitschrift' is more natural.

Mein Vater liest eine Monatsschrift über Geschichte, die immer am Monatsanfang kommt.
My father reads a monthly periodical about history that always arrives at the beginning of the month.
Wegen des langen Wochenendes nimmt sie morgen eine Zeitschrift mit nach Hause.
Because of the long weekend, she is taking a magazine home with her tomorrow.