Under the latter definition, a diatonic scale comprises five
non-transpositionally equivalent pentachords rather than seven because the
Ionian and
Mixolydian pentachords and the
Dorian and
Aeolian pentachords are intervallically identical (CDEFG=GABCD; DEFGA=ABCDE).
The name "pentachord" was also given to a
musical instrument, now in disuse, built to the specifications of
Sir Edward Walpole. It was demonstrated by
Karl Friedrich Abel at his first public concert in London, on 5 April 1759, when it was described as "newly invented" (
Knape, Charters, and McVeigh 2001). In the dedication to Walpole of his cello sonatas op. 3, the cellist/composer
James Cervetto praised the pentachord, declaring: "I know not a more fit Instrument to Accompany the Voice" (
Charters 1973, 1224). Performances on the instrument are documented as late as 1783, after which it seems to have fallen out of use. It appears to have been similar to a five-string
violoncello (
McLamore 2004, 84).
References
Bailey, Kathryn. 1991. The Twelve-note Music of Anton Webern: Old Forms in a New Language. Music in the Twentieth Century 2. Cambridge and New York: Cambridge University Press.
ISBN978-0-521-39088-0 (cloth). Reprinted Cambridge: Cambridge University Press, 2004.
ISBN978-0-521-54796-3 (pbk). Digital paperback reprint, Cambridge and New York: Cambridge University Press, 2006.
Charters, Murray. 1973. "Abel in London". The Musical Times 114, no. 1570 (December): 1224–26.
Knape, Walter, Murray R. Charters, and Simon McVeigh. 2001. "Abel: (4) Carl Friedrich Abel". The New Grove Dictionary of Music and Musicians, second edition, edited by
Stanley Sadie and
John Tyrrell. London: Macmillan Publishers.
Latham, Alison (ed.). 2002. "Pentachord". The Oxford Companion to Music. Oxford and New York: Oxford University Press.
ISBN0-19-866212-2.
McLamore, Alyson. 2004. "'By the Will and Order of Providence': The Wesley Family Concerts, 1779–1787". Royal Musical Association Research Chronicle, no. 37 (2004): 71–220.
Roeder, John. 2001. "Set (ii)." The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
Further reading
Rahn, John. 1980. Basic Atonal Theory. Longman Music Series. New York and London: Longman Inc..
ISBN0-582-28117-2.