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Musaf: Sources - II

...בשלשה פרקים בשנה כהנים נושאין את כפיהם כו':

תעניות ומעמדות מי איכא מוסף?

חסורי מיחסרא והכי קתני:

בשלשה פרקים כהנים נושאין את כפיהן כל זמן שמתפללין ויש מהן ארבעה פעמים ביום שחרית ומוסף מנחה ונעילת שערים ואלו הן שלשה פרקים תעניות ומעמדות ויום הכפורים

...The mishna taught: At three times in the year priests raise their hands to recite the Priestly Benediction four times in a single day: On communal fasts, non-priestly watches, and Yom Kippur.

The Gemara asks: How do they recite the Priestly Benediction four times on these days? Do fast days and gatherings of non-priestly watches have an additional prayer?

The Gemara explains that the mishna is incomplete and is teaching the following: At three times in the year priests raise their hands each time they pray, and on some of these they bless four times a day, in the morning prayer, in the additional prayer, in the afternoon prayer, and in the closing of the gates, i.e., the ne’ila prayer.

And these are the three times: Communal fasts, non-priestly watches, and Yom Kippur.