Chart Granularity

You can try creating a measure which you would use in the filter pane, set to only show when the value is 1.

Filter Measure =
VAR FirstVisibleDate =
    MIN ( 'Date'[Date] )
VAR LastVisibleDate =
    MAX ( 'Date'[Date] )
VAR LastDateToShow =
    TODAY ()
VAR __SelectedGranularity =
    SELECTCOLUMNS (
        SUMMARIZE ( Parameter, Parameter[Parameter], Parameter[Parameter Fields] ),
        Parameter[Parameter]
    )
VAR FirstDateToShow =
    IF (
        COUNTROWS ( __SelectedGranularity ) = 1,
        SWITCH (
            __SelectedValue,
            "Daily", LastDateToShow - 30,
            "Monthly", EOMONTH ( LastDateToShow, -13 ) + 1,
            "Weekly",
                LOOKUPVALUE ( 'Date'[Week commencing], 'Date'[Date], LastDateToShow - 7 * 8 )
        )
    )
VAR Result =
    IF (
        FirstVisibleDate >= FirstDateToShow
            && LastVisibleDate <= LastDateToShow,
        1
    )
RETURN
    Result