Halacha 1
It is a positive commandment from the Torah to hear the sounding of the shofar on Rosh HaShanah, as [Numbers 29:1] states: "It shall be a day of sounding [the ram's horn] for you."
The shofar, which is sounded both on Rosh HaShanah and for the yovel, is a bent ram's horn. All shofarot other than that of a ram are unacceptable.
Even though the sounding of the shofar on Rosh HaShanah is not explicitly mentioned in the Torah [it was derived by our Sages in the following manner]. Concerning the yovel, [Leviticus 25:9] states: "You shall make a proclamation, sounding the shofar... you shall proclaim with the shofar." The oral tradition explains that just as the "sounding" required by the Torah in the yovel requires a shofar, so, too, the "sounding" on Rosh HaShanah requires a shofar.
Halacha 2
In the Temple, on Rosh HaShanah, they would blow [the shofar in the following manner]: There was one shofar and two trumpets, [one on either] side. The sounding of the shofar was extended, while that of the trumpets was shortened, because the mitzvah of the day is performed with the shofar.
Why were the trumpets sounded together with it? Because [Psalms 98:6] states: "You shall sound trumpets and the voice of the shofar before God, the King." However, in other places on Rosh Hashanah, only the shofar is blown.
Halacha 3
At the outset, we should not blow a shofar of idol worship. However, if one sounded it, one has fulfilled his obligation. [In contrast,] should one sound a shofar belonging to an apostate city, one has not fulfilled one's obligation.
Concerning a stolen shofar: one who blows it fulfills his obligation, because the mitzvah is only to listen to the sound, even though the listener does not touch [the shofar] or lift it up. The laws of theft do not apply to sound alone.
Similarly, a shofar from an olah offering should not be sounded, but if one sounds it, he fulfills his obligation, because the laws of מעילה do not apply with regard to sound alone. If you ask: "Behold, he has derived benefit from hearing [the shofar's] sound?" - mitzvot were not given for our benefit.
Based on this concept, a person who vows not to derive benefit from a shofar may use it to blow the teki'ot required to fulfill the mitzvah.
Halacha 4
Regarding a shofar to be used on Rosh HaShanah: It is forbidden to violate the festival laws to obtain it. This applies even when the forbidden practice is in the category of sh'vut.
How is the above exemplified? If there is a shofar in a treetop or across a river - and that is the only shofar available - one may not climb the tree or swim across the water to bring it. Needless to say, we may not cut the shofar [from the animal's head] or perform a forbidden labor [to prepare a shofar so that we may blow it].
[The rationale for the above is:] Blowing the shofar fulfills a positive commandment, while [the observance of] the festivals fulfills both a positive and a negative commandment. The observance of a positive commandment does not negate the observance of both a positive and negative commandment.
It is permitted to rinse a shofar with water, wine, or vinegar in order to improve its tone. However, as an expression of deference, one should never use urine [for that purpose], lest one view the mitzvot in a deprecating manner.
Halacha 5
The minimum size of a shofar is [a measure] sufficient that one may hold the shofar in one's hands [with the ends] visibly [protruding] on either side.
Should a shofar be cracked lengthwise, it is unacceptable. Should it be cracked along its width - if a measure equivalent to the minimum size of a shofar remains, it is kosher. It is considered as if it were cut off at the place of the crack.
[Regarding a shofar with] a hole: If it was plugged with another substance, it is unacceptable. If it was plugged with its own kind, it is kosher [under the following conditions]:
the majority of the shofar remained whole;
the plugging of the holes did not alter its sound.
If one [merely] perforated the insides of the horn, [but did not remove them,] it is kosher, because a substance of the same kind is not considered an intervening entity. Should one stick together fragments of shofarot until one has constructed a shofar, it is unacceptable.
Halacha 6
If one made any addition to a shofar - whether of its kind or from another substance - it is unacceptable.
Should one coat it with gold from the inside or at the mouthpiece, it is unacceptable. Should one coat it on the outside: If its sound is changed from what it was originally, it is not acceptable. If its sound did not change, it is kosher.
Should one place one shofar within another: If one hears the sound of the inner shofar, one has fulfilled one's obligation. If one hears the outer shofar, one has not fulfilled one's obligation.
Should one widen the narrow portion of the shofar and narrow its wider end, the shofar is unacceptable.
Halacha 7
If a shofar was long and one shortened it, it is kosher. If one scraped away the horn - either from the inside or from the outside - even if one did so to the extent that all that remained was the thin external shell, it is kosher.
Regardless of whether [the shofar's] sound is heavy, thin, or raspy, it is kosher, because all the sounds produced by the shofar are kosher.
Halacha 8
When a person sounds a shofar within a pit or within a cave, those standing within the pit or cave fulfill their obligation. Concerning those standing outside: If they hear the sound of the shofar, they fulfill their obligation. If they hear the sound of an echo, they do not fulfill their obligation.
Similar principles apply regarding one who blows into a giant barrel. If he hears the sound of a shofar, he fulfills his obligation. If he hears an echo, he does not fulfill his obligation.
It is a positive commandment from the Torah - Sefer Hamitzvot (Positive Commandment 170) and Sefer Hachinuch (Mitzvah 405) count this mitzvah as one of the 613 mitzvot of the Torah.
to hear the sounding of the shofar - The mitzvah is not the blowing of the shofar, as might be inferred from the verse, but rather listening to the blowing. The blessing recited before the fulfillment of this mitzvah, praising God for commanding us "to listen to the sounding of the shofar (Chapter 3, Halachah 10)," emphasizes this principle.
Accordingly, the Rambam writes (Chapter 1, Halachah 8) that a person who blows a shofar without hearing it does not fulfill the mitzvah. Conversely, he writes (Responsum 78) that if the mitzvah were the blowing of the shofar, a person who heard it being blown, but did not blow it himself, would not fulfill his obligation.
It must be noted that the published text of the siddur of Rav Amram Gaon states that the mitzvah is "to sound the shofar." Also, concerning the blowing of the shofar in the yovel, the Rambam himself writes that: "it is a positive mitzvah to blow the shofar on the tenth of Tishre... (Hilchot Shemitah V'Yovel 10:10)."
on Rosh HaShanah, as [Numbers 29:1] states: "It shall be a day of sounding [the ram's horn] for you." - Though the ram's horn is not explicitly mentioned in the verse, our Sages derived the requirement as the Rambam explains.
The shofar, which is sounded both on Rosh HaShanah and for the yovel - to announce the freeing of the slaves and the return of property, as explained in Leviticus 25:9-13.
is a bent -Rams' horns are always bent. This, too, has homiletic significance, referring to the bending over of our proud hearts. (See Rosh HaShanah 26b.)
ram's horn. - Rosh HaShanah 16a states that a ram's horn is used to recall the akedah (binding) of Isaac.
All shofarot other than that of a ram are unacceptable. - The Rambam's opinion is based on the statement of Rav Levi (Rosh Hashanah 26b), who declares: "The mitzvah of Rosh Hashanah is to be performed with bent [shofarot]," implying the use of a sheep's or ram's horn for that is their natural shape.
The Ra'avad, Rabbenu Asher, and many other Rishonim maintain that Rav Levi desired to designate the type of shofar which is most preferable to use, but did not intend to disqualify the horns of other animals. Their view is accepted by the Shulchan Aruch (Orach Chayim 586:1), which states that it is desirable to use the horn of a ram. However, if that is not possible, the horn of any animal may be used. The only exceptions are the horns of a cow and some wild animals whose horns are single, solid entities (Ramban).
Even though the sounding of the shofar on Rosh HaShanah - The above verse merely mentions יום תרועה - "a day of sounding" - without stating what must be sounded.
is not explicitly mentioned in the Torah [it was derived by our Sages in the following manner]. Concerning the yovel, [Leviticus 25:9] states: "You shall make a proclamation, sounding the shofar...you shall proclaim with the shofar." The oral tradition - Rosh Hashanah 33b
explains that just as the "sounding" required by the Torah in the yovel requires a shofar, so, too, the "sounding" on Rosh HaShanah requires a shofar. - An analogy (גזרה שוה) is drawn between the two verses, to teach that the same type of "sounding" is required on both occasions. Thus, since the Torah specifies states that the "sounding" of the yovel is carried out with a shofar, that same instrument is used on Rosh HaShanah.