Commentary for Menachot 5:3
יֵשׁ טְעוּנוֹת שֶׁמֶן וּלְבוֹנָה, שֶׁמֶן וְלֹא לְבוֹנָה, לְבוֹנָה וְלֹא שֶׁמֶן, לֹא שֶׁמֶן וְלֹא לְבוֹנָה. וְאֵלּוּ טְעוּנוֹת שֶׁמֶן וּלְבוֹנָה, מִנְחַת הַסֹּלֶת, וְהַמַּחֲבַת, וְהַמַּרְחֶשֶׁת, וְהַחַלּוֹת, וְהָרְקִיקִין, מִנְחַת כֹּהֲנִים, וּמִנְחַת כֹּהֵן מָשִׁיחַ, וּמִנְחַת גּוֹיִם, וּמִנְחַת נָשִׁים, וּמִנְחַת הָעֹמֶר. מִנְחַת נְסָכִין טְעוּנָה שֶׁמֶן, וְאֵין טְעוּנָה לְבוֹנָה. לֶחֶם הַפָּנִים טָעוּן לְבוֹנָה, וְאֵין טָעוּן שָׁמֶן. שְׁתֵּי הַלֶּחֶם, מִנְחַת חוֹטֵא וּמִנְחַת קְנָאוֹת, לֹא שֶׁמֶן וְלֹא לְבוֹנָה:
Some [grain offerings] require oil and frankincense, some require oil but not frankincense, some frankincense but not oil, and some neither oil nor frankincense. These require oil and frankincense: the grain offering of fine flour, that prepared on a griddle, that prepared in a pan, the cakes and the wafers, the grain offering of the priests, the grain offering of the anointed high priest, the grain offering of a non-Jew, the grain offering of women, and the grain offering of the <i>omer</i> [The special barley offering, offered the day after Pesach, which permits grain harvested in the last year to be eaten]. The grain offering offered with the libations requires oil but not frankincense. The showbread requires frankincense but not oil. The two loaves, the sinner's grain offering and the grain offering of jealousy require neither oil nor frankincense.
Bartenura on Mishnah Menachot
English Explanation of Mishnah Menachot
These require oil and frankincense: the minhah of fine flour, that prepared on a griddle, that prepared in a pan, the cakes and the wafers, the minhah of the priests, the minhah of the anointed high priest, the minhah of a gentile, the minhah of women, and the minhah of the omer.
The minhah offered with the drink-offerings requires oil but not frankincense.
The showbread requires frankincense but not oil.
The two loaves, the sinner's minhah and the minhah of jealousy require neither oil nor frankincense.
This mishnah teaches which minhah requires oil and frankincense, which requires one of the two, and which require neither.
Section one: As the mishnah typically loves to note, all of the possible combinations can actually occur. I shall give references for each of these types of minhahs.
Section two:
The minhah of fine flour; that prepared on a griddle; that prepared in a pan: Leviticus 2:1.
The cakes and the wafers: Leviticus 2:4.
The minhah of the priests: A priest who volunteers to bring one of these minhahs.
The minhah of the anointed high priest: See above 4:5.
The minhah of a gentile; the minhah of women: who volunteered to bring one of these minhahs.
And the minhah of the omer: Leviticus 2:14-15.
Section three: Numbers 15:4ff.
Section four: Leviticus 24:7.
Section five: The two loaves are those brought on Shavuot. The sinner’s minhah is referred to in Leviticus 5:11 and the minhah of jealousy is that brought by the suspected adultress (the Sotah (Numbers 5:15). In both cases the Torah specifically states not to put frankincense or oil on them.