BASSOON ETUDES on DIATONIC MODES 2Henry Leavitt Thesis
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How to Construct Modes
How to Construct Modes Modes can be derived from a major scale. The true application of a mode is one in which the notes and harmony are derived primarily from a mode. Modal scales are used, however, over the chord of the moment in a non-modal tune, although it would not be a modal melody in the strictest definition. There are seven basic modes and you may derive them utilizing a major scale as reference. The names of the 7 modes are: Ionian, Dorian, Phrygian, Lydian, Mixolydian, Aeolian, and Locrian Each scale or mode has distinctive note relationships which give it its unique sound. The simplest way to construct modes is to construct a seven note scale starting from each successive note in a major scale. By referencing the diatonic notes in the original major scale (ionian mode), all seven modes can be created from each of the major scale notes. • Ionian is scale degree l to l (one octave higher or lower) • Dorian is 2 to 2 • Phrygian is 3 to 3 • Lydian is 4 to 4 • Mixolydian is 5 to 5 • Aeolian is 6 to 6 • Locrian is 7 to 7 However, there is a better way to construct any mode: To construct any mode, think of the scale degree it is associated with. For example, dorian can be associated with the second degree of a major scale. As we have seen, modes may be constructed by building a diatonic 7 note scale beginning on each successive major scale degree. But you need to be able to construct on any note any of the seven modes without first building a major scale. -
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. -
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. -
I. the Term Стр. 1 Из 93 Mode 01.10.2013 Mk:@Msitstore:D
Mode Стр. 1 из 93 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; and, most significantly, a concept involving scale type and melody type. The term ‘mode’ has always been used to designate classes of melodies, and since the 20th century to designate certain kinds of norm or model for composition or improvisation as well. Certain phenomena 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(ii). For a discussion of mode in relation to ancient Greek theory see Greece, §I, 6 I. The term II. Medieval modal theory III. Modal theories and polyphonic music IV. Modal scales and traditional music V. Middle East and Asia HAROLD S. POWERS/FRANS WIERING (I–III), JAMES PORTER (IV, 1), HAROLD S. POWERS/JAMES COWDERY (IV, 2), HAROLD S. POWERS/RICHARD WIDDESS (V, 1), RUTH DAVIS (V, 2), HAROLD S. POWERS/RICHARD WIDDESS (V, 3), HAROLD S. POWERS/MARC PERLMAN (V, 4(i)), HAROLD S. POWERS/MARC PERLMAN (V, 4(ii) (a)–(d)), MARC PERLMAN (V, 4(ii) (e)–(i)), ALLAN MARETT, STEPHEN JONES (V, 5(i)), ALLEN MARETT (V, 5(ii), (iii)), HAROLD S. POWERS/ALLAN MARETT (V, 5(iv)) Mode I. -
Convergent Evolution in a Large Cross-Cultural Database of Musical Scales
Convergent evolution in a large cross-cultural database of musical scales John M. McBride1,* and Tsvi Tlusty1,2,* 1Center for Soft and Living Matter, Institute for Basic Science, Ulsan 44919, South Korea 2Departments of Physics and Chemistry, Ulsan National Institute of Science and Technology, Ulsan 44919, South Korea *[email protected], [email protected] August 3, 2021 Abstract We begin by clarifying some key terms and ideas. We first define a scale as a sequence of notes (Figure 1A). Scales, sets of discrete pitches used to generate Notes are pitch categories described by a single pitch, melodies, are thought to be one of the most uni- although in practice pitch is variable so a better descrip- versal features of music. Despite this, we know tion is that notes are regions of semi-stable pitch centered relatively little about how cross-cultural diversity, around a representative (e.g., mean, meadian) frequency or how scales have evolved. We remedy this, in [10]. Thus, a scale can also be thought of as a sequence of part, we assemble a cross-cultural database of em- mean frequencies of pitch categories. However, humans pirical scale data, collected over the past century process relative frequency much better than absolute fre- by various ethnomusicologists. We provide sta- quency, such that a scale is better described by the fre- tistical analyses to highlight that certain intervals quency of notes relative to some standard; this is typically (e.g., the octave) are used frequently across cul- taken to be the first note of the scale, which is called the tures. -
A-Beginner-Guide-To-Modes.Pdf
A BEGINNER GUIDE TO MODES Here are a few charts to help break down modes, including scale patterns, chord patterns, and the characteristic “colour note / chord” within each scale. Just like with the idea of parallel major and minor scales, you can choose to write solely within one scale (say, D dorian), OR you can borrow a chord from a parallel mode while still using chords from your original scale (i.e., writing in F minor [aeolian] and using a Db major chord, but also using a Bb major chord, borrowed from Dorian mode). The Modes by Numeric Pattern (Rose boxes indicate the scale’s ‘colour note’ or what gives it its character; blue boxes show a potential secondary colour note.) MODE 1 2 3 4 5 6 7 IONIAN 1 2 3 4 5 6 7 DORIAN 1 2 b3 4 5 6 b7 PHRYGIAN 1 b2 b3 4 5 b6 b7 LYDIAN 1 2 3 #4 5 6 7 MIXOLYDIAN 1 2 3 4 5 6 b7 AEOLIAN 1 2 b3 4 5 b6 b7 LOCRIAN 1 b2 b3 4 b5 b6 b7 IONIAN mode is the major scale, so this mode begins on the 1st degree of the major scale. DORIAN mode begins on the 2nd scale degree of the relative ionian mode (major scale) PHRYGIAN mode begins on the 3rd scale degree of the relative ionian mode (major scale) LYDIAN mode begins on the 4th scale degree of the relative ionian mode (major scale) MIXOLYDIAN mode begins on the 5th scale degree of the relative ionian mode (major scale) AEOLIAN mode (minor scale) begins on the 6th degree of the relative ionian mode (major scale). -
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 ............................................................................................................................... -
What's Tonic in a Snare Drum Sonata?
What’s Tonic in a Snare Drum Sonata? Dr. Art Samplaski Cornell Univ. Dept. of Chemistry & Chem. Biol. (dayjob) personal email: [email protected] SCSMT 2019 mtg., Mar. 15-16, ’19, Louisiana State Univ., Baton Rouge Ex. 1a. Quotes from Tovey’s (1956) “Harmony” article, repr. from the 1944 Encyclopaedia Brittanica. Tonality is the element which groups a succession of musical sounds intelligibly round some centre. (51) An aesthetically correct account of Palestrina’s tonality is much more easily achieved by a description in terms of Beethoven’s key-system than by any attempt to refer it to the orthodox modal theory [of medieval plainchant]. (51) Palestrina’s tonality is one of the most mature and subtle things in music, and later developments cannot lessen its truth to the nature of art. (52) The B natural in Lydian tonality is so difficult to handle that the great masters almost always flattened it permanently and put the flat as a key-signature, thus producing an Ionian mode transposed, or plain modern F major. (52-53) Ex.1b. A couple other relevant quotes (out of LOTS of possibilities!): Réti (1962, 18-20): [All “classical”s are added] [Classical] tonality, during its undisputed reign of several centuries, was so taken for granted and became so entrenched in the musician’s mind as the natural, the “eternal” concept of musical construction that when, because of its overlong use (and finally abuse) its abandonment became inevitable, the first slight signs of such an abandonment shocked the musical world to the core. [...] [T]oday we would certainly not call atonal the music of, for instance, Straus, Reger or Mahler, for which the term was originally often used, or for their French contemporaries Debussy or Satie. -
Exploration of an Adaptable Just Intonation System Jeff Snyder
Exploration of an Adaptable Just Intonation System Jeff Snyder Submitted in partial fulfillment of the requirements of the degree of Doctor of Musical Arts in the Graduate School of Arts and Sciences Columbia University 2010 ABSTRACT Exploration of an Adaptable Just Intonation System Jeff Snyder In this paper, I describe my recent work, which is primarily focused around a dynamic tuning system, and the construction of new electro-acoustic instruments using this system. I provide an overview of my aesthetic and theoretical influences, in order to give some idea of the path that led me to my current project. I then explain the tuning system itself, which is a type of dynamically tuned just intonation, realized through electronics. The third section of this paper gives details on the design and construction of the instruments I have invented for my own compositional purposes. The final section of this paper gives an analysis of the first large-scale piece to be written for my instruments using my tuning system, Concerning the Nature of Things. Exploration of an Adaptable Just Intonation System Jeff Snyder I. Why Adaptable Just Intonation on Invented Instruments? 1.1 - Influences 1.1.1 - Inspiration from Medieval and Renaissance music 1.1.2 - Inspiration from Harry Partch 1.1.3 - Inspiration from American country music 1.2 - Tuning systems 1.2.1 - Why just? 1.2.1.1 – Non-prescriptive pitch systems 1.2.1.2 – Just pitch systems 1.2.1.3 – Tempered pitch systems 1.2.1.4 – Rationale for choice of Just tunings 1.2.1.4.1 – Consideration of non-prescriptive