Religious Dorian. Five Authentic and Principal Modes and Ten Companion Or Collateral Modes Are Named by Martianus According to Aristoxenian Tradition
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4. Non-Heptatonic Modes
Tagg: Everyday Tonality II — 4. Non‐heptatonic modes 151 4. Non‐heptatonic modes If modes containing seven different scale degrees are heptatonic, eight‐note modes are octatonic, six‐note modes hexatonic, those with five pentatonic, while four‐ and three‐note modes are tetratonic and tritonic. Now, even though the most popular pentatonic modes are sometimes called ‘gapped’ because they contain two scale steps larger than those of the ‘church’ modes of Chapter 3 —doh ré mi sol la and la doh ré mi sol, for example— they are no more incomplete FFBk04Modes2.fm. 2014-09-14,13:57 or empty than the octatonic start to example 70 can be considered cluttered or crowded.1 Ex. 70. Vigneault/Rochon (1973): Je chante pour (octatonic opening phrase) The point is that the most widespread convention for numbering scale degrees (in Europe, the Arab world, India, Java, China, etc.) is, as we’ve seen, heptatonic. So, when expressions like ‘thirdless hexatonic’ occur in this chapter it does not imply that the mode is in any sense deficient: it’s just a matter of using a quasi‐global con‐ vention to designate a particular trait of the mode. Tritonic and tetratonic Tritonic and tetratonic tunes are common in many parts of the world, not least in traditional music from Micronesia and Poly‐ nesia, as well as among the Māori, the Inuit, the Saami and Native Americans of the great plains.2 Tetratonic modes are also found in Christian psalm and response chanting (ex. 71), while the sound of children chanting tritonic taunts can still be heard in playgrounds in many parts of the world (ex. -
The 17-Tone Puzzle — and the Neo-Medieval Key That Unlocks It
The 17-tone Puzzle — And the Neo-medieval Key That Unlocks It by George Secor A Grave Misunderstanding The 17 division of the octave has to be one of the most misunderstood alternative tuning systems available to the microtonal experimenter. In comparison with divisions such as 19, 22, and 31, it has two major advantages: not only are its fifths better in tune, but it is also more manageable, considering its very reasonable number of tones per octave. A third advantage becomes apparent immediately upon hearing diatonic melodies played in it, one note at a time: 17 is wonderful for melody, outshining both the twelve-tone equal temperament (12-ET) and the Pythagorean tuning in this respect. The most serious problem becomes apparent when we discover that diatonic harmony in this system sounds highly dissonant, considerably more so than is the case with either 12-ET or the Pythagorean tuning, on which we were hoping to improve. Without any further thought, most experimenters thus consign the 17-tone system to the discard pile, confident in the knowledge that there are, after all, much better alternatives available. My own thinking about 17 started in exactly this way. In 1976, having been a microtonal experimenter for thirteen years, I went on record, dismissing 17-ET in only a couple of sentences: The 17-tone equal temperament is of questionable harmonic utility. If you try it, I doubt you’ll stay with it for long.1 Since that time I have become aware of some things which have caused me to change my opinion completely. -
The New Dictionary of Music and Musicians
The New GROVE Dictionary of Music and Musicians EDITED BY Stanley Sadie 12 Meares - M utis London, 1980 376 Moda Harold Powers Mode (from Lat. modus: 'measure', 'standard'; 'manner', 'way'). A term in Western music theory with three main applications, all connected with the above meanings of modus: the relationship between the note values longa and brevis in late medieval notation; interval, in early medieval theory; most significantly, a concept involving scale type and melody type. The term 'mode' has always been used to designate classes of melodies, and in this century to designate certain kinds of norm or model for composition or improvisation as well. Certain pheno mena in folksong and in non-Western music are related to this last meaning, and are discussed below in §§IV and V. The word is also used in acoustical parlance to denote a particular pattern of vibrations in which a system can oscillate in a stable way; see SOUND, §5. I. The term. II. Medieval modal theory. III. Modal theo ries and polyphonic music. IV. Modal scales and folk song melodies. V. Mode as a musicological concept. I. The term I. Mensural notation. 2. Interval. 3. Scale or melody type. I. MENSURAL NOTATION. In this context the term 'mode' has two applications. First, it refers in general to the proportional durational relationship between brevis and /onga: the modus is perfectus (sometimes major) when the relationship is 3: l, imperfectus (sometimes minor) when it is 2 : I. (The attributives major and minor are more properly used with modus to distinguish the rela tion of /onga to maxima from the relation of brevis to longa, respectively.) In the earliest stages of mensural notation, the so called Franconian notation, 'modus' designated one of five to seven fixed arrangements of longs and breves in particular rhythms, called by scholars rhythmic modes. -
THE MODES of ANCIENT GREECE by Elsie Hamilton
THE MODES OF ANCIENT GREECE by Elsie Hamilton * * * * P R E F A C E Owing to requests from various people I have consented with humility to write a simple booklet on the Modes of Ancient Greece. The reason for this is largely because the monumental work “The Greek Aulos” by Kathleen Schlesinger, Fellow of the Institute of Archaeology at the University of Liverpool, is now unfortunately out of print. Let me at once say that all the theoretical knowledge I possess has been imparted to me by her through our long and happy friendship over many years. All I can claim as my own contribution is the use I have made of these Modes as a basis for modern composition, of which details have been given in Appendix 3 of “The Greek Aulos”. Demonstrations of Chamber Music in the Modes were given in Steinway Hall in 1917 with the assistance of some of the Queen’s Hall players, also 3 performances in the Etlinger Hall of the musical drama “Sensa”, by Mabel Collins, in 1919. A mime “Agave” was performed in the studio of Madame Matton-Painpare in 1924, and another mime “The Scorpions of Ysit”, at the Court Theatre in 1929. In 1935 this new language of Music was introduced at Stuttgart, Germany, where a small Chamber Orchestra was trained to play in the Greek Modes. Singers have also found little difficulty in singing these intervals which are not those of our modern well-tempered system, of which fuller details will be given later on in this booklet. -
MTO 20.2: Wild, Vicentino's 31-Tone Compositional Theory
Volume 20, Number 2, June 2014 Copyright © 2014 Society for Music Theory Genus, Species and Mode in Vicentino’s 31-tone Compositional Theory Jonathan Wild NOTE: The examples for the (text-only) PDF version of this item are available online at: http://www.mtosmt.org/issues/mto.14.20.2/mto.14.20.2.wild.php KEYWORDS: Vicentino, enharmonicism, chromaticism, sixteenth century, tuning, genus, species, mode ABSTRACT: This article explores the pitch structures developed by Nicola Vicentino in his 1555 treatise L’Antica musica ridotta alla moderna prattica . I examine the rationale for his background gamut of 31 pitch classes, and document the relationships among his accounts of the genera, species, and modes, and between his and earlier accounts. Specially recorded and retuned audio examples illustrate some of the surviving enharmonic and chromatic musical passages. Received February 2014 Table of Contents Introduction [1] Tuning [4] The Archicembalo [8] Genus [10] Enharmonic division of the whole tone [13] Species [15] Mode [28] Composing in the genera [32] Conclusion [35] Introduction [1] In his treatise of 1555, L’Antica musica ridotta alla moderna prattica (henceforth L’Antica musica ), the theorist and composer Nicola Vicentino describes a tuning system comprising thirty-one tones to the octave, and presents several excerpts from compositions intended to be sung in that tuning. (1) The rich compositional theory he develops in the treatise, in concert with the few surviving musical passages, offers a tantalizing glimpse of an alternative pathway for musical development, one whose radically augmented pitch materials make possible a vast range of novel melodic gestures and harmonic successions. -
Chapter 26 Scales a La Mode
CHAPTER 26 SCALES A LA MODE Musical innovation is full of danger to the State, for when modes of music change, the laws of the State always change with them. PLATO WHAT IS A MODE? A mode is a type of scale. Modes are used in music like salsa, jazz, country, rock, fusion, speed metal, and more. The reason the Chapter image is of musicians jamming is that modes are important to understanding (and using) jazz theory, and helpful if you’re trying to understand improvisation. Certain modes go with certain chords. For more information about modes and their specific uses in jazz, read James Levine’s excellent book, Jazz Theory. On the Web at http://is.gd/iqufof These are also called “church modes” because they were first used in the Catholic Church back in Medieval times (remember good old Guido d’ Arezzo?). The names of the modes were taken from the Greek modes, but other than the names, they have no relation to the Greek modes. The two modes that have been used the most, and the only two most people know, are now called the Major and natural minor scales. Their original names were the Ionian mode (Major), and the Aeolian mode (natural minor). The other modes are: dorian, phrygian, lydian, mixolydian, and locrian. Modes are easy to understand. We’ll map out each mode’s series of whole and half steps and use the key of C so there aren’t any sharps or flats to bother with. THE MODES IONIAN Ionian is used in nearly all Western music, from Acid Rock to Zydeco. -
THE UBIQUITY of the DIATONIC SCALE Leon Crickmore
LEON CRICKMORE ICONEA 2012-2015, XXX-XXX The picture in figure 1 shows the old ‘School of Music’ here in Oxford. Right up to the nineteenth century, Boethius’s treatise De Institutione Musica was still a set book for anyone studying music in this University. The definition of a ‘musician’ contained in it reads as follows1: Is vero est musicus qui ratione perpensa canendi scientiam non servitio operis sed imperio speculationis adsumpsit THE UBIQUITY (But a musician is one who has gained knowledge of making music by weighing with reason, not through the servitude of work, OF THE DIATONIC SCALE but through the sovereignty of speculation2.) Such a hierarchical distinction between music Leon Crickmore theory and music practice was not finally overturned until the seventeenth century onward, by the sudden Abstract: increase in public musical performances on the There are an infinite number of possible one hand, and the development of experimental pitches within any octave. Why is it then, that in science on the other. But the origins of the so many different cultures and ages musicians distinction probably lie far in the past. Early in the have chosen to divide the octave into some kind of diatonic scale? This paper seeks to eleventh century, Guido D’Arezzo had expressed a demonstrate the ubiquity of the diatonic scale, similar sentiment, though rather more stridently, in and also to reflect on some possible reasons why a verse which, if that age had shared our modern this should be so. fashion for political correctness, would have been likely to have been censured: Musicorum et cantorum magna est distancia: Isti dicunt, illi sciunt quae componit musica. -
In Ludus Tonalis
Grand Valley Review Volume 23 | Issue 1 Article 4 2001 The rC eative Process vs. The aC non Kurt J. Ellenberger Grand Valley State University Follow this and additional works at: http://scholarworks.gvsu.edu/gvr Recommended Citation Ellenberger, Kurt J. (2001) "The rC eative Process vs. The aC non," Grand Valley Review: Vol. 23: Iss. 1, Article 4. Available at: http://scholarworks.gvsu.edu/gvr/vol23/iss1/4 This Article is brought to you for free and open access by ScholarWorks@GVSU. It has been accepted for inclusion in Grand Valley Review by an authorized administrator of ScholarWorks@GVSU. For more information, please contact [email protected]. by Kurt J. Ellenberger frenzied and unforh The Creative Process vs. for "originality" (as trinsic value in and greatest composers a The Canon in a variety of differe as a testament to thE Hindemith Recycles in Ludus Tonalis in our own contempc necessary for today' s ways in which this w he contemporary composer faces many ob confines of a centuri Tstacles in the struggle towards artistic inde apparently still capab pendence. Not the least of these is the solemn music) in the hopes th realization that one's work will inevitably be might show themsel compared to the countless pieces of music that expression of our ow define the tradition of musical achievement as canonized in the "Literature." Another lies in the he need for one's mandate (exacerbated in this century by the T logical outgrowtl academy's influence) that, to qualify as innova ently a powerful 01 tive or original, a work must utilize some new influence. -
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: -
Key and Mode in Seventeenth- Century Music Theory Books
204 KEY AND MODE IN SEVENTEENTH- One of the more remarkable cultural phenomena of modern times is the emergence of a generally accepted musico-syn- tactical system (a musical "language") known, among other ways, as the "common practice of the eighteenth and nineteenth centuries," or as the "major/minor system of harmony," or as "tonal [as opposed to modal] harmony. " While twentieth-cen- tury composers have sought new ways to structure music, in- terest in the major/minor system continues undiminished owing to a variety of reasons, among them the facts that the bulk of present day concert repertoire stems from the common prac- tice period, and that theories relevant originally to music of the eighteenth and nineteenth centuries have been profitably extended to more recent music. 205 CENTURY MUSIC THEORY BOOKS WALTER ATCHERSON Much has been written concerning the major/minor system. By far the most words have been expended in attempts to codify the syntax of major/minor and make it into a workable method of teaching composition. Numerous music theory text books of the eighteenth and nineteenth centuries fall into this cate- gory. Another category of writing concerning the major/minor system consists of those efforts to set forth philosophical, mathematical, or acoustical explanations of major/minor har- mony; this category often overlaps the first, as it does already in Jean-Philippe Rameau's TRAITE DE L'HARMONIE (1722). In the twentieth century the major/minor system has ceased to serve as a basis for composition instruction, and the search 206 for philosophical, mathematical, and acoustical explanations has proved unrewarding. -
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. -
Music Theory
Music Theory Advanced Level June 2005 Defining modes .................................................................................................................................... 4 Theory ................................................................................................................................................. 4 Most Important Modes ................................................................................................................ 5 Summary ........................................................................................................................................... 7 Using Modes for Improvisation ......................................................................................................... 9 Theory ............................................................................................................................................... 10 A. Recap ....................................................................................................................................... 10 B Choosing appropriate modes ............................................................................................... 11 Using Modes for Composition .......................................................................................................... 16 Usage ................................................................................................................................................ 18 The Dorian Mode ...............................................................................................................................