Commentary for Arakhin 18:8

בשלמא לעולא דשמונה חסירין עבדינן מעוברין לא עבדינן משכחת לה שניהן חסר ביום הנף אחד מלא ואחד חסר לאור עיבורו אלא לרב הונא דאמר

Now that will be right according to 'Ulla if eight defective months could be arranged, but not full ones; hence this may happen thus: if both are defective, it falls on the day of the waving; if one is full and the other defective, it falls on the day following the night of the last day of the full month.<span class="x" onmousemove="('comment',' [Normally the twelve months of the year beginning with Tishri are full and defective in rotation. Where there is a departure from this order, the only months affected are Kislew in the winter and Siwan in the summer, which months are made defective instead of being normally full. Now if both these months are made defective, giving eight defective months for the year, there is an interval between the 30th of Nisan and the first of Tishri of eight days of the week, i.e., the first of Tishri falls on the same day of the week as the 31st of Nisan; and since the 30th of Nisan falls on the same day as the day of waving, which is exactly fifteen days before, the New Year will also fall on the day of waving. Should, on the other hand, only one of these two months be made defective - namely Kislew, whilst Siwan is full, there would be nine days of the week difference between the 30th of Nisan and the first of Tishri, so that New Year will fall on the 31st day. i.e., the day following the night of the last day of the full month of Nisan.]');">⁵</span>

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