a direction printed in the heading of a song, most likely calling for a high pitch, whose exact instruction was lost long ago
This is the plural of the ordinary word for a young woman (עַלְמָה), but in all three places it appears it is not describing anyone. It sits among the technical notes at the top of a song, beside instructions that name the music leader, the collection a psalm came from, and the instruments to be used. It is a working direction to performers, roughly where a modern score prints a tempo or a key.
The best clue is a pair of lines in 1 Chronicles 15. One group of Levites plays harps "on Alamoth"; the very next group plays lyres "on the Sheminith" (שְׁמִינִית), a label built on the word for "eight." Two labels side by side, one built on "young women" and one on "eight," look like the two ends of a range, which is why the most common reading takes this word as the high setting and its partner as the low one. The text never says so outright, and other explanations remain live:
- a high setting, sung by high voices or played on strings tuned high
- the name of an instrument, or of one particular tuning
- the title of a familiar melody, the way a hymnbook says "to the tune of"
- an actual choir of young women singing the part
The last of these is appealing, but it is hard to square with Chronicles, which presents the temple singers as men.
The oldest translators had already lost the sense. The Greek translators of the Psalms read these letters as a form of a different Hebrew verb, "to hide" (עָלַם), and turned the heading of Psalm 46 into a note about hidden things; the Latin followed them, and an early Jewish paraphrase used the same wordplay to hint at the sons of Korah being kept safe from the earth that swallowed their father. In 1 Chronicles the Greek gave up and simply spelled the Hebrew out in Greek letters. That confusion is the most solid fact we have about the word: these performance notes are older than the earliest translations of them, which is why the letters survive and the tune does not.
Nuances
How the second word of the Psalm 9 superscription should be divided and read: as a form of the עֲלָמוֹת rubric, or as עַל־מוּת לַבֵּן "concerning the death of the son."
- majorityRetain the Masoretic division as two words, עַל־מוּת לַבֵּן, "concerning the death of the son" or similar; the phrase is then not the Alamoth rubric at all.; Symmachus and Jerome iuxta Hebraeos, as preserved in F. Field, Origenis Hexaplorum Quae Supersunt (Oxford: Clarendon, 1875), 2:437
- minorityRead the letters as one word, עַלְמוּת, an abstract "youth" belonging with the Alamoth rubric; so Aquila and twenty-eight of Kennicott's Hebrew manuscripts.; Aquila (νεανιότητος), as preserved in F. Field, Origenis Hexaplorum Quae Supersunt (Oxford: Clarendon, 1875), 2:437
- minorityThe following word לַבֵּן is a copying error for לִבְנֵי [קֹרַח], so the superscription originally read עַל־עֲלָמוֹת exactly as Psalm 46 does.; C. A. Briggs and E. G. Briggs, A Critical and Exegetical Commentary on the Book of Psalms, ICC (Edinburgh: T&T Clark, 1906), 1: ad Ps 9
Disputed
What the rubric עַל־עֲלָמוֹת directed the musicians to do. Its sense was already unrecoverable in antiquity, and no modern proposal commands consensus.
- contestedA high (soprano) vocal or instrumental register, standing in polar contrast to עַל־הַשְּׁמִינִית "on the eighth" in 1 Chronicles 15:21.; Peter C. Craigie, Psalms 1-50, WBC 19 (Waco: Word, 1983), 342; Hans-Joachim Kraus, Psalms 1-59, trans. Hilton C. Oswald (Minneapolis: Augsburg, 1988), 30-31; Sara Japhet, I & II Chronicles, OTL (Louisville: Westminster John Knox, 1993), 302-304; Gary N. Knoppers, 1 Chronicles 10-29, AB 12A (New York: Doubleday, 2004), 619-627; Franz Delitzsch, Biblical Commentary on the Psalms, trans. F. Bolton (Grand Rapids: Eerdmans, 1952), ad Ps 46
- contestedA tune name, the melody to which the psalm was to be sung.; John Goldingay, Psalms 42-89 (Grand Rapids: Baker Academic, 2007), ad Ps 46; Nancy deClaisse-Walford, Rolf A. Jacobson, and Beth LaNeel Tanner, The Book of Psalms, NICOT (Grand Rapids: Eerdmans, 2014), ad Ps 46; Erhard S. Gerstenberger, Psalms, Part 1, FOTL 14 (Grand Rapids: Eerdmans, 1988), ad Ps 46
- minorityThe name of an instrument or of a particular tuning.; Alfred Sendrey, Music in Ancient Israel (London: Vision Press, 1969); HALOT (Koehler-Baumgartner-Stamm, The Hebrew and Aramaic Lexicon of the Old Testament, trans. M. E. J. Richardson [Leiden: Brill, 1994-2000]), 1053; Ralph W. Klein, 1 Chronicles, Hermeneia (Minneapolis: Fortress, 2006), ad 15:20-21
- minorityAn actual choir of young women performing the piece.; August H. Konkel, 1 & 2 Chronicles, Believers Church Bible Commentary (Scottdale: Herald, 2006), ad 15:20