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The primary calendar layout in TeamCal Neo is a month. You view and edit calendars per month. The only exception is the year calendar. It is provided for overview purposes only though and cannot be edited.
As TeamCal Pro, TeamCal Neo is also a day-based calendar. This concept is one of the main success factors of the application. A day is the smallest unit you can plan in TeamCal Neo. It is not a meeting calendar in which you can schedule absences from 9 to 10 in the morning or something like that. There are several good calendar applications out there that you can use for that.
In TeamCal Neo you mark days. Nothing more, nothing less. I am emphasizing on this because I have received several change requests to offer smaller units of a day. I have always denied that because I believe in the value of a simple day-based calendar. And I think the popularity of TeamCal Pro confirms that.
Of course you can create absence types like “Half-day Vacation”. In order to get your counts right, just set the factor of that absence type to 0.5.