MTO 4.3: Mengozzi, Review of Hexachords
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
TRECENTO FRAGMENTS M Ichael Scott Cuthbert to the Department Of
T R E C E N T O F R A G M E N T S A N D P O L Y P H O N Y B E Y O N D T H E C O D E X a thesis presented by M ichael Scott Cuthbert t the Depart!ent " M#si$ in partia% "#%"i%%!ent " the re&#ire!ents " r the de'ree " D $t r " Phi% s phy in the s#b(e$t " M#si$ H ar)ard * ni)ersity Ca!brid'e+ Massa$h#setts A#'#st ,--. / ,--.+ Mi$hae% S$ tt C#thbert A%% ri'hts reser)ed0 Pr "0 Th !as F rrest 1 e%%y+ advisor Mi$hae% S$ tt C#thbert Tre$ent Fra'!ents and P %yph ny Bey nd the C de2 Abstract This thesis see3s t #nderstand h 4 !#si$ s #nded and "#n$ti ned in the 5ta%ian tre6 $ent based n an e2a!inati n " a%% the s#r)i)in' s #r$es+ rather than n%y the ! st $ !6 p%ete0 A !a( rity " s#r)i)in' s #r$es " 5ta%ian p %yph ni$ !#si$ "r ! the peri d 788-9 7:,- are "ra'!ents; ! st+ the re!nants " % st !an#s$ripts0 Despite their n#!eri$a% d !i6 nan$e+ !#si$ s$h %arship has )ie4 ed these s #r$es as se$ ndary <and "ten ne'%e$ted the! a%t 'ether= " $#sin' instead n the "e4 %ar'e+ retr spe$ti)e+ and pred !inant%y se$#%ar $ di6 $es 4 hi$h !ain%y ri'inated in the F% rentine rbit0 C nne$ti ns a! n' !an#s$ripts ha)e been in$ !p%ete%y e2p% red in the %iterat#re+ and the !issi n is a$#te 4 here re%ati nships a! n' "ra'!ents and a! n' ther s!a%% $ %%e$ti ns " p %yph ny are $ n$erned0 These s!a%% $ %%e$ti ns )ary in their $ nstr#$ti n and $ ntents>s !e are n t rea%%y "ra'!ents at a%%+ b#t sin'%e p %yph ni$ 4 r3s in %it#r'i$a% and ther !an#s$ripts0 5ndi)id#6 a%%y and thr #'h their )ery n#!bers+ they present a 4 ider )ie4 " 5ta%ian !#si$a% %i"e in the " #rteenth $ent#ry than $ #%d be 'ained "r ! e)en the ! st $are"#% s$r#tiny " the inta$t !an#s$ripts0 E2a!inin' the "ra'!ents e!b %dens #s t as3 &#esti ns ab #t musical style, popularity, scribal practice, and manuscript transmission: questions best answered through a study of many different sources rather than the intense scrutiny of a few large sources. -
Plainchant Tradition*
Some Observations on the "Germanic" Plainchant Tradition* By Alexander Blachly Anyone examining the various notational systems according to which medieval scribes committed the plainchant repertory to written form must be impressed both by the obvious relatedness of the systems and by their differences. There are three main categories: the neumatic notations from the ninth, tenth, and eleventh centuries (written without a staff and incapable, therefore, of indicating precise pitches);1 the quadratic nota tion in use in Italy, Spain, France, and England-the "Romanic" lands from the twelfth century on (this is the "traditional" plainchant notation, written usually on a four-line staff and found also in most twentieth century printed books, e.g., Liber usualis, Antiphonale monasticum, Graduale Romanum); and the several types of Germanic notation that use a staff but retain many of the features of their neumatic ancestors. The second and third categories descended from the first. The staffless neumatic notations that transmit the Gregorian repertory in ninth-, tenth-, and eleventh-century sources, though unlike one another in some important respects, have long been recognized as transmitting the same corpus of melodies. Indeed, the high degree of concordance between manuscripts that are widely separated by time and place is one of the most remarkable aspects the plainchant tradition. As the oldest method of notating chant we know,2 neumatic notation compels detailed study; and the degree to which the neumatic manuscripts agree not only • I would like to thank Kenneth Levy, Alejandro Plan chart, and Norman Smith for reading this article prior to publication and for making useful suggestions for its improve ment. -
Music in the 20Th Century Serialism Background Information to Five Orchestral Pieces
AOS 2: Music in the 20th Century Serialism Background Information to Five Orchestral Pieces Five Orchestral Pieces 1909 by Arnold Schoenberg is a set of atonal pieces for full orchestra. Each piece lasts between one to five minutes and they are not connected to one another by the use of any musical material. Richard Strauss requested that Schoenberg send him some short orchestral pieces with the possibility of them gaining some attention from important musical figures. Schoenberg hadn’t written any orchestral pieces since 1903 as he had been experimenting with and developing his ideas of atonality in small scale works. He had had a series of disappointments as some of his works for both chamber orchestra and larger ensembles had been dismissed by important musical figures as they did not understand his music. As a result of this Schoenberg withdrew further into the small group of like minded composers e.g. The Second Viennese School. Schoenberg uses pitches and harmonies for effect not because they are related to one another. He is very concerned with the combinations of different instrumental timbres rather than melody and harmony as we understand and use it. Schoenberg enjoyed concealing things in his music; he believed that the intelligent and attentive listener would be able to decipher the deeper meanings. Schoenberg believed that music could express so much more than words and that words detract from the music. As a result of this belief titles for the Five Orchestral Pieces did not appear on the scores until 13 years after they had been composed. -
Pietro Aaron on Musica Plana: a Translation and Commentary on Book I of the Libri Tres De Institutione Harmonica (1516)
Pietro Aaron on musica plana: A Translation and Commentary on Book I of the Libri tres de institutione harmonica (1516) Dissertation Presented in Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy in the Graduate School of The Ohio State University By Matthew Joseph Bester, B.A., M.A. Graduate Program in Music The Ohio State University 2013 Dissertation Committee: Graeme M. Boone, Advisor Charles Atkinson Burdette Green Copyright by Matthew Joseph Bester 2013 Abstract Historians of music theory long have recognized the importance of the sixteenth- century Florentine theorist Pietro Aaron for his influential vernacular treatises on practical matters concerning polyphony, most notably his Toscanello in musica (Venice, 1523) and his Trattato della natura et cognitione de tutti gli tuoni di canto figurato (Venice, 1525). Less often discussed is Aaron’s treatment of plainsong, the most complete statement of which occurs in the opening book of his first published treatise, the Libri tres de institutione harmonica (Bologna, 1516). The present dissertation aims to assess and contextualize Aaron’s perspective on the subject with a translation and commentary on the first book of the De institutione harmonica. The extensive commentary endeavors to situate Aaron’s treatment of plainsong more concretely within the history of music theory, with particular focus on some of the most prominent treatises that were circulating in the decades prior to the publication of the De institutione harmonica. This includes works by such well-known theorists as Marchetto da Padova, Johannes Tinctoris, and Franchinus Gaffurius, but equally significant are certain lesser-known practical works on the topic of plainsong from around the turn of the century, some of which are in the vernacular Italian, including Bonaventura da Brescia’s Breviloquium musicale (1497), the anonymous Compendium musices (1499), and the anonymous Quaestiones et solutiones (c.1500). -
Gregorian Chant
GREGORIAN CHANT GREGORIAN CHANT A TEXTBOOK FOR SEMINARIES, NOVITIATES AND SECONDARY SCHOOLS by REV. ANDREW F. KLARMANN Published by GREGORIAN INSTITUTE OF AMERICA TOLEDO, OHIO Imprimatur *MOST REV. THOMAS E. MOLLOY, S.T.D. Bishop of Brooklyn Nihil Obstat REV. JOHN F. DONOVAN Censor Librorum JANUARY 27, 1945 Desclee and Company of Tournai, Belgium, has granted permission to the author to use the rhythmic marks in this textbook. COPYRIGHT, 1945. BY GREGORIAN INSTITUTE PRINTED IN U.S.A. ALL RIGHTS RESERVED Dedicated to MOST REVEREND THOMAS E. MOLLOY BISHOP OF BROOKLYN FOREWORD In the following pages Father Klarmann presents a clear, orderly, systematic treatment of liturgical chant. At the very beginning of his treatise he provides an explanation of certain fundamental terms, such as notation, signs, rhythm, chant structure, etc., which is very serviceable in preparing the reader for the fuller development of the general theme in the sub- sequent chapters of this book. With the same thought and purpose the author more particu- larly gives an early definition of the chief subject of discussion, namely, chant, which he defines, in the usually accepted sense, as liturgical music in the form of plain song, which is monophonic, unaccompanied and free in rhythm. Very interestingly also chant structure is explained. The author then proceeds to record the his- torical development of chant at least in its salient features. It is readily understood of course that the Infant Church could not promote a notable advancement in liturgical music during the period of ruthless persecution. And still it seems quite certain that even in the catacombs hymns were used in connection with religious worship. -
The Generalised Hexachord Theorem
THEOREM OF THE DAY The Generalised Hexachord Theorem Suppose that S is a subset of the set of pitch classes comprising Zn, n even, with |S | = s; then the interval class vectors of S and its complement Zn \ S differ component- wise by |n − 2s|, except for the last component, for which the difference is |n/2 − s|. The interval class vector of S is the vector of length n/2 whose i-th component is the number of pairs a, b ∈ S , a < b, for which min(b − a, n − b + a) = i. For Z12, the integers modulo 12, this is illustrated above, using the opening bars of Chopin’s op. 10, no. 5, for i = 5 (the upper, red, curves in bars 2–3) and i = 2 (the lower, green, curves). The word ‘class’ is used to indicate that no distinction is made between the interval from, say, B♭ down to E♭ (the first red curve) or from B♭ up to E♭; both intervals have value 5 = min(10 − 3, 12 − 10 + 3). The complete interval class vectors have been calculated here using David Walters’ PC Set Calculator, which is attached to Gary Tucker’s excel- lent Introduction to Pitch Class Analysis. The right-hand part of Chopin’s ´etude uses only the five black-key notes of the piano, the complement of this set being all the white keys. The Generalised Hexachord Theorem then tells us that components 1–5 of the corresponding interval classes differ uniformly by 12 − 2 × 5 = 2. The original Hexachord Theorem, due to the composer Milton Babbitt and theorist David Lewin in the 1950s, applies to subsets of exactly six notes out of the twelve note scale, the interval class vectors of this ‘hexachord’ or ‘hexad’ and its complement then being identical. -
The Origins of the Musical Staff
The Origins of the Musical Staff John Haines For Michel Huglo, master and friend Who can blame music historians for frequently claiming that Guido of Arezzo invented the musical staff? Given the medieval period’s unma- nageable length, it must often be reduced to as streamlined a shape as possible, with some select significant heroes along the way to push ahead the plot of musical progress: Gregory invented chant; the trouba- dours, vernacular song; Leoninus and Perotinus, polyphony; Franco of Cologne, measured notation. And Guido invented the staff. To be sure, not all historians put it quite this way. Some, such as Richard Hoppin, write more cautiously that “the completion of the four-line staff ...is generally credited to Guido d’Arezzo,”1 or, in the words of the New Grove Dictionary of Music, that Guido “is remembered today for his development of a system of precise pitch notation through lines and spaces.”2 Such occasional caution aside, however, the legend of Guido as inventor of the staff abides and pervades. In his Notation of Polyphonic Music, Willi Apel writes of “the staff, that ingenious invention of Guido of Arezzo.”3 As Claude Palisca puts it in his biography of Guido, it was that medieval Italian music writer’s prologue to his antiphoner around 1030 that contained one of the “brilliant proposals that launched the Guido legend, the device of staff notation.”4 “Guido’s introduction of a system of four lines and four spaces” is, in Paul Henry Lang’s widely read history, an “achievement” deemed “one of the most significant in -
Memory, Music, Epistemology, and the Emergence of Gregorian Chant As Corporate Knowledge
University of Tennessee, Knoxville TRACE: Tennessee Research and Creative Exchange Masters Theses Graduate School 12-2012 "Sing to the Lord a new song": Memory, Music, Epistemology, and the Emergence of Gregorian Chant as Corporate Knowledge Jordan Timothy Ray Baker [email protected] Follow this and additional works at: https://trace.tennessee.edu/utk_gradthes Part of the Epistemology Commons, Medieval Studies Commons, and the Musicology Commons Recommended Citation Baker, Jordan Timothy Ray, ""Sing to the Lord a new song": Memory, Music, Epistemology, and the Emergence of Gregorian Chant as Corporate Knowledge. " Master's Thesis, University of Tennessee, 2012. https://trace.tennessee.edu/utk_gradthes/1360 This Thesis is brought to you for free and open access by the Graduate School at TRACE: Tennessee Research and Creative Exchange. It has been accepted for inclusion in Masters Theses by an authorized administrator of TRACE: Tennessee Research and Creative Exchange. For more information, please contact [email protected]. To the Graduate Council: I am submitting herewith a thesis written by Jordan Timothy Ray Baker entitled ""Sing to the Lord a new song": Memory, Music, Epistemology, and the Emergence of Gregorian Chant as Corporate Knowledge." I have examined the final electronic copy of this thesis for form and content and recommend that it be accepted in partial fulfillment of the equirr ements for the degree of Master of Music, with a major in Music. Rachel M. Golden, Major Professor We have read this thesis and recommend its acceptance: -
A Conductor's Guide to the Music of Hildegard Von
A CONDUCTOR’S GUIDE TO THE MUSIC OF HILDEGARD VON BINGEN by Katie Gardiner Submitted to the faculty of the Jacobs School of Music in partial fulfillment of the requirements for the degree, Doctor of Music, Indiana University July 2021 Accepted by the faculty of the Indiana University Jacobs School of Music, in partial fulfillment of the requirements for the degree Doctor of Music Doctoral Committee ______________________________________ Carolann Buff, Research Director and Chair ______________________________________ Christopher Albanese ______________________________________ Giuliano Di Bacco ______________________________________ Dominick DiOrio June 17, 2021 ii Copyright © 2021 Katie Gardiner iii For Jeff iv Acknowledgements I would like to acknowledge with gratitude the following scholars and organizations for their contributions to this document: Vera U.G. Scherr; Bart Demuyt, Ann Kelders, and the Alamire Foundation; the Librarian Staff at the Cook Music Library at Indiana University; Brian Carroll and the Indiana University Press; Rebecca Bain; Nathan Campbell, Beverly Lomer, and the International Society of Hildegard von Bingen Studies; Benjamin Bagby; Barbara Newman; Marianne Pfau; Jennifer Bain; Timothy McGee; Peter van Poucke; Christopher Page; Martin Mayer and the RheinMain Hochschule Library; and Luca Ricossa. I would additionally like to express my appreciation for my colleagues at the Jacobs School of Muisc, and my thanks to my beloved family for their fierce and unwavering support. I am deeply grateful to my professors at Indiana University, particularly the committee members who contributed their time and expertise to the creation of this document: Carolann Buff, Christopher Albanese, Giuliano Di Bacco, and Dominick DiOrio. A special debt of gratitude is owed to Carolann Buff for being a supportive mentor and a formidable editor, and whose passion for this music has been an inspiration throughout this process. -
The Consecutive-Semitone Constraint on Scalar Structure: a Link Between Impressionism and Jazz1
The Consecutive-Semitone Constraint on Scalar Structure: A Link Between Impressionism and Jazz1 Dmitri Tymoczko The diatonic scale, considered as a subset of the twelve chromatic pitch classes, possesses some remarkable mathematical properties. It is, for example, a "deep scale," containing each of the six diatonic intervals a unique number of times; it represents a "maximally even" division of the octave into seven nearly-equal parts; it is capable of participating in a "maximally smooth" cycle of transpositions that differ only by the shift of a single pitch by a single semitone; and it has "Myhill's property," in the sense that every distinct two-note diatonic interval (e.g., a third) comes in exactly two distinct chromatic varieties (e.g., major and minor). Many theorists have used these properties to describe and even explain the role of the diatonic scale in traditional tonal music.2 Tonal music, however, is not exclusively diatonic, and the two nondiatonic minor scales possess none of the properties mentioned above. Thus, to the extent that we emphasize the mathematical uniqueness of the diatonic scale, we must downplay the musical significance of the other scales, for example by treating the melodic and harmonic minor scales merely as modifications of the natural minor. The difficulty is compounded when we consider the music of the late-nineteenth and twentieth centuries, in which composers expanded their musical vocabularies to include new scales (for instance, the whole-tone and the octatonic) which again shared few of the diatonic scale's interesting characteristics. This suggests that many of the features *I would like to thank David Lewin, John Thow, and Robert Wason for their assistance in preparing this article. -
Mathias Bielitz Sind Die Denkfiguren Leonin Und Sein Magnus Liber
Mathias Bielitz Sind die Denkfiguren Leonin und sein Magnus Liber selbst Denkfiguren? Alle Rechte bei HeiDok 2011 Sind die Denkfiguren Leonin und sein Magnus liber“ ” selbst Denkfiguren? von Mathias Bielitz HeiDok Heidelberg 3. M¨arz 2011 Difficile est satiram non scribere I Zur oral traditionalit¨at der ND-Organa, Neuestes zum uralten Topos 1 Der von v. Uxk¨ ull¨ beschriebene Effekt, daß das Suchbild das Merkbild vernich- tet, die, hier, musikhistorische Wirklichkeit durch das vorgegebene Programm bzw. den vorgegebenen Topos v¨ollig verdeckt wird, daß also die Anpassung an die Forderungen der Mode ein Verstehen der Wirklichkeit nicht mehr zul¨aßt, zeigt exemplarisch die Arbeit von J. Gross, Chanter en polyphonie `aNˆotre Dˆame de Paris aux 12 e et 13 e si`ecles, worin der Autor neben der Zusam- menfassung bekannter Umst¨ande d a s an den mehr als zweistimmigen orga- na untersucht, was man, cum grano salis, als Symmetrien bezeichnen k¨onnte, also Teilwiederholungen, sei es in einer Stimme, sei es durch mehrere Stim- men, also alles, was nicht sozusagen allein durch Befolgung der Kp-Regeln an Stimmfuhrung¨ der Zusatzstimmen entsteht (weil dabei naturlich¨ immer Alter- nativen bestehen, wird man trivialerweise besonders auff¨allige symmetrische“ ” Bildungen heranziehen; es gibt gewisse Freiheitsgrade — und auftretende Dis- sonanzen etc. —, die zeigen, daß manchmal der Wille zur linearen Sinnhaftig- keit auch die kontrapunktischen1 Regeln verletzen konnte bzw. mußte). Den 1Verf. ist sich bewußt, hier keinen zeitgen¨ossischen Begriff zu verwenden; der gemeinte Sachverhalt soll aufgerufen werden durch diesen hier metatheoretisch gebrauchten Aus- druck: Auch die Klangschrittlehre hat stringente Vorschriften, gegen die verstoßen werden kann — z. -
An Explanation of Anomalous Hexachords in Four Serial Works by Igor Stravinsky
University of Tennessee, Knoxville TRACE: Tennessee Research and Creative Exchange Masters Theses Graduate School 8-2011 An Explanation of Anomalous Hexachords in Four Serial Works by Igor Stravinsky Robert Sivy [email protected] Follow this and additional works at: https://trace.tennessee.edu/utk_gradthes Part of the Musicology Commons, and the Music Theory Commons Recommended Citation Sivy, Robert, "An Explanation of Anomalous Hexachords in Four Serial Works by Igor Stravinsky. " Master's Thesis, University of Tennessee, 2011. https://trace.tennessee.edu/utk_gradthes/1025 This Thesis is brought to you for free and open access by the Graduate School at TRACE: Tennessee Research and Creative Exchange. It has been accepted for inclusion in Masters Theses by an authorized administrator of TRACE: Tennessee Research and Creative Exchange. For more information, please contact [email protected]. To the Graduate Council: I am submitting herewith a thesis written by Robert Sivy entitled "An Explanation of Anomalous Hexachords in Four Serial Works by Igor Stravinsky." I have examined the final electronic copy of this thesis for form and content and recommend that it be accepted in partial fulfillment of the requirements for the degree of Master of Music, with a major in Music. Brendan P. McConville, Major Professor We have read this thesis and recommend its acceptance: Barbara Murphy, Donald Pederson Accepted for the Council: Carolyn R. Hodges Vice Provost and Dean of the Graduate School (Original signatures are on file with official studentecor r ds.) An Explanation of Anomalous Hexachords in Four Serial Works by Igor Stravinsky A Thesis Presented for the Master of Music Degree The University of Tennessee, Knoxville Robert Jacob Sivy August 2011 Copyright © 2011 by Robert Jacob Sivy All rights reserved.