Regular Tunings
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ALTERED STATES of PERFORMANCE: SCORDATURA in the CLASSICAL GUITAR REPERTOIRE by COREY JAMES FLOWERS (Under the Direction Of
ALTERED STATES OF PERFORMANCE: SCORDATURA IN THE CLASSICAL GUITAR REPERTOIRE by COREY JAMES FLOWERS (Under the Direction of Michael Heald) ABSTRACT Scordatura is commonplace in the guitar repertoire, though there are relatively few resources available that explain the approach to its use, either from a performer’s or a composer’s perspective. Through examination of specific selections in the classical guitar repertoire, this document offers an introduction to various alternate tunings for the guitar, beginning with tunings used to transcribe lute and vihuela music, and progressing to modern experimentations found in the literature. Each piece on the accompanying recording provides insight into the use of these alternate tunings by highlighting specific musical characteristics that are made possible, or are idiomatic, in each tuning, such as extended ranges, open string relationships, unique chord voicings, and the ease of introducing contrasting tonal centers across a program. The CD provides a basis for aural comparison of the tunings and is a resource for performers interested in this repertoire. It also provides examples for composers and arrangers wishing to approach writing for the guitar using non-standard tunings. As additional resources, a glossary of terminology is provided, concerning tunings found in the document, as well as tunings used outside of the classical repertoire that may be useful for experimentation. An index of scordatura repertoire is provided as well, offering a broad overview of additional repertoire for further -
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. -
Shifting Exercises with Double Stops to Test Intonation
VERY ROUGH AND PRELIMINARY DRAFT!!! Shifting Exercises with Double Stops to Test Intonation These exercises were inspired by lessons I had from 1968 to 1970 with David Smiley of the San Francisco Symphony. I don’t have the book he used, but I believe it was one those written by Dounis on the scientific or artist's technique of violin playing. The exercises were difficult and frustrating, and involved shifting and double stops. Smiley also emphasized routine testing notes against other strings, and I also found some of his tasks frustrating because I couldn’t hear intervals that apparently seemed so familiar to a professional musician. When I found myself giving violin lessons in 2011, I had a mathematical understanding of why it was so difficult to hear certain musical intervals, and decided not to focus on them in my teaching. By then I had also developed some exercises to develop my own intonation. These exercises focus entirely on what is called the just scale. Pianos use the equal tempered scale, which is the predominate choice of intonation in orchestras and symphonies (I NEED VERIFICATION THAT THIS IS TRUE). It takes many years and many types of exercises and activities to become a good violinist. But I contend that everyone should start by mastering the following double stops in “just” intonation: 1. Practice the intervals shown above for all possible pairs of strings on your violin or viola. Learn the first two first, then add one interval at a time. They get harder to hear as you go down the list for reasons having to do with the fractions: 1/2, 2/3, 3/4, 3/5, 4/5, 5/6. -
Ninth, Eleventh and Thirteenth Chords Ninth, Eleventh and Thirteen Chords Sometimes Referred to As Chords with 'Extensions', I.E
Ninth, Eleventh and Thirteenth chords Ninth, Eleventh and Thirteen chords sometimes referred to as chords with 'extensions', i.e. extending the seventh chord to include tones that are stacking the interval of a third above the basic chord tones. These chords with upper extensions occur mostly on the V chord. The ninth chord is sometimes viewed as superimposing the vii7 chord on top of the V7 chord. The combination of the two chord creates a ninth chord. In major keys the ninth of the dominant ninth chord is a whole step above the root (plus octaves) w w w w w & c w w w C major: V7 vii7 V9 G7 Bm7b5 G9 ? c ∑ ∑ ∑ In the minor keys the ninth of the dominant ninth chord is a half step above the root (plus octaves). In chord symbols it is referred to as a b9, i.e. E7b9. The 'flat' terminology is use to indicate that the ninth is lowered compared to the major key version of the dominant ninth chord. Note that in many keys, the ninth is not literally a flatted note but might be a natural. 4 w w w & #w #w #w A minor: V7 vii7 V9 E7 G#dim7 E7b9 ? ∑ ∑ ∑ The dominant ninth usually resolves to I and the ninth often resolves down in parallel motion with the seventh of the chord. 7 ˙ ˙ ˙ ˙ & ˙ ˙ #˙ ˙ C major: V9 I A minor: V9 i G9 C E7b9 Am ˙ ˙ ˙ ˙ ˙ ? ˙ ˙ The dominant ninth chord is often used in a II-V-I chord progression where the II chord˙ and the I chord are both seventh chords and the V chord is a incomplete ninth with the fifth omitted. -
Alternate Tuning Guide
1 Alternate Tuning Guide by Bill Sethares New tunings inspire new musical thoughts. Belew is talented... But playing in alternate Alternate tunings let you play voicings and slide tunings is impossible on stage, retuning is a between chord forms that would normally be nightmare... strings break, wiggle and bend out impossible. They give access to nonstandard of tune, necks warp. And the alternative - carry- open strings. Playing familiar fingerings on an ing around five special guitars for five special unfamiliar fretboard is exciting - you never know tuning tunes - is a hassle. Back to EBGDAE. exactly what to expect. And working out familiar But all these "practical" reasons pale com- riffs on an unfamiliar fretboard often suggests pared to psychological inertia. "I've spent years new sound patterns and variations. This book mastering one tuning, why should I try others?" helps you explore alternative ways of making Because there are musical worlds waiting to be music. exploited. Once you have retuned and explored a Why is the standard guitar tuning standard? single alternate tuning, you'll be hooked by the Where did this strange combination of a major unexpected fingerings, the easy drone strings, 3rd and four perfect 4ths come from? There is a the "new" open chords. New tunings are a way to bit of history (view the guitar as a descendant of recapture the wonder you experienced when first the lute), a bit of technology (strings which are finding your way around the fretboard - but now too high and thin tend to break, those which are you can become proficient in a matter of days too low tend to be too soft), and a bit of chance. -
Guitar Best Practices Years 1, 2, 3 and 4 Nafme Council for Guitar
Guitar Best Practices Years 1, 2, 3 and 4 Many schools today offer guitar classes and guitar ensembles as a form of music instruction. While guitar is a popular music choice for students to take, there are many teachers offering instruction where guitar is their secondary instrument. The NAfME Guitar Council collaborated and compiled lists of Guitar Best Practices for each year of study. They comprise a set of technical skills, music experiences, and music theory knowledge that guitar students should know through their scholastic career. As a Guitar Council, we have taken careful consideration to ensure that the lists are applicable to middle school and high school guitar class instruction, and may be covered through a wide variety of method books and music styles (classical, country, folk, jazz, pop). All items on the list can be performed on acoustic, classical, and/or electric guitars. NAfME Council for Guitar Education Best Practices Outline for a Year One Guitar Class YEAR ONE - At the completion of year one, students will be able to: 1. Perform using correct sitting posture and appropriate hand positions 2. Play a sixteen measure melody composed with eighth notes at a moderate tempo using alternate picking 3. Read standard music notation and play on all six strings in first position up to the fourth fret 4. Play melodies in the keys C major, a minor, G major, e minor, D major, b minor, F major and d minor 5. Play one octave scales including C major, G major, A major, D major and E major in first position 6. -
85 Modern Interval Reference Songs Contents
! EasyEarTraining.com 85 Modern Interval Reference Songs This is a list of modern interval reference songs, provided by EasyEarTraining.com to accompany the article: Interval Reference Songs - That You've Actually Heard Of! Do you know a great modern reference song not included here? Let us know! http://www.easyeartraining.com/forums/ Oh - and don't miss the special offer at the back of this booklet... Contents Minor Second 2 Major Second 5 Minor Third 8 Major Third 11 Perfect Fourth 15 Tri-Tone 18 Perfect Fifth 21 Minor Sixth 24 Major Sixth 26 Minor Seventh 29 Major Seventh 30 Perfect Octave 32 !1 Copyright 2014 Easy Ear Training Ltd ! EasyEarTraining.com Minor Second Ascending K'naan - Wavin' Flag Section: Chorus Interval: “your - flag” http://www.youtube.com/watch?v=amXeJrA-wDc Enrique Iglesias - Somebody's Me Section: “You.. Do you remember me” Interval: ”do - you” https://www.youtube.com/watch?v=gv9hrQzU0cA Backstreet Boys - Show Me the Meaning Section: “Show me the meaning of being lonely” Interval: “of - BE” !2 Copyright 2014 Easy Ear Training Ltd ! EasyEarTraining.com https://www.youtube.com/watch? v=aBt8fN7mJNg Descending Avenged Sevenfold - Dear God Section: “Some search never findin’ a way” (bridge) Interval: “Some search” https://www.youtube.com/watch?v=mzX0rhF8buo Bryan Adams - Summer of ‘69 Section: “Those were the best days of my life” Interval: “the - best” https://www.youtube.com/watch? v=9f06QZCVUHg MYMP - Especially for You Section: “Especially” Interval: “Espe-cially” http://www.youtube.com/watch?v=IimqpTcrakU !3 Copyright 2014 Easy Ear Training Ltd ! EasyEarTraining.com The Pixies - Where Is My Mind Section: Introduction/Bridge (wee-ooh) Interval: “Wee-Ooh” https://www.youtube.com/watch?v=GrHl0wpagFc !4 Copyright 2014 Easy Ear Training Ltd ! EasyEarTraining.com Major Second Ascending Katy Perry - Wide Awake Section: “I’m wide awake” Interval: “wi-de a-wake” https://www.youtube.com/watch?v=k0BWlvnBmIE Breaking Benjamin - Diary of Jane Section: “If I have to. -
Frequency Ratios and the Perception of Tone Patterns
Psychonomic Bulletin & Review 1994, 1 (2), 191-201 Frequency ratios and the perception of tone patterns E. GLENN SCHELLENBERG University of Windsor, Windsor, Ontario, Canada and SANDRA E. TREHUB University of Toronto, Mississauga, Ontario, Canada We quantified the relative simplicity of frequency ratios and reanalyzed data from several studies on the perception of simultaneous and sequential tones. Simplicity offrequency ratios accounted for judgments of consonance and dissonance and for judgments of similarity across a wide range of tasks and listeners. It also accounted for the relative ease of discriminating tone patterns by musically experienced and inexperienced listeners. These findings confirm the generality ofpre vious suggestions of perceptual processing advantages for pairs of tones related by simple fre quency ratios. Since the time of Pythagoras, the relative simplicity of monics of a single complex tone. Currently, the degree the frequency relations between tones has been consid of perceived consonance is believed to result from both ered fundamental to consonance (pleasantness) and dis sensory and experiential factors. Whereas sensory con sonance (unpleasantness) in music. Most naturally OCCUf sonance is constant across musical styles and cultures, mu ring tones (e.g., the sounds of speech or music) are sical consonance presumably results from learning what complex, consisting of multiple pure-tone (sine wave) sounds pleasant in a particular musical style. components. Terhardt (1974, 1978, 1984) has suggested Helmholtz (1885/1954) proposed that the consonance that relations between different tones may be influenced of two simultaneous complex tones is a function of the by relations between components of a single complex tone. ratio between their fundamental frequencies-the simpler For single complex tones, ineluding those of speech and the ratio, the more harmonics the tones have in common. -
DADGAD Tuning and Using Partial Capos
2 DADGAD Tuning and Using Partial Capos All four of the guitars I used to record One Size Does Not Fit All (pictured on the recording cover) were tuned to DADGAD intervals, that is the string above the bass string, the 5th string, is a fifth above the bass note, the next string, the 4th, is a fourth above that (an octave above the bass string), the 3rd string is a fourth above the 4th string, the 2nd is a second above the 3rd, and the 1st string is a fourth above the 2nd (or an octave above the 4th string). With the bass note at D, the strings then are tuned D, A, D, G, A and D, but if the bass note is a C then the strings are tuned C, G, C, F, G and C (the 5th string here, G, is a fifth above the bass C, the 4th string is a fourth above that, or an octave above the bass string, and so on.) So, when the bass string is tuned to B♭ applying the same intervals yields a tuning of B♭FB♭E♭FB♭. Shorthand could describe the intervals by the numbers: 54424. DADGAD, also called open Dsus4 tuning, is easier to pronounce than EADGBE, intervals 44434 (which is why everyone calls it “standard tuning”!), but try pronouncing CGCFGC or, worse, B♭FB♭E♭FB♭! Worse yet is the tuning you get when you put a full capo on the second fret of a DADGAD-tuned guitar, EBEABE—try pronouncing that one a few times and the men in the white coats may show up to haul you away! So, I commonly refer to these tunings (you’ll see why in a moment) as “C-gad” or “B♭-gad.” To tune to DADGAD from “standard” tuning, EADGBE, just drop the 1st, 2nd, and 6th string pitches by one whole step, that is tune the bass E down to D, and similarly tune the two high strings down one whole step. -
Harmonic Dualism and the Origin of the Minor Triad
45 Harmonic Dualism and the Origin of the Minor Triad JOHN L. SNYDER "Harmonic Dualism" may be defined as a school of musical theoretical thought which holds that the minor triad has a natural origin different from that of the major triad, but of equal validity. Specifically, the term is associated with a group of nineteenth and early twentieth century theo rists, nearly all Germans, who believed that the minor harmony is constructed in a downward ("negative") fashion, while the major is an upward ("positive") construction. Al though some of these writers extended the dualistic approach to great lengths, applying it even to functional harmony, this article will be concerned primarily with the problem of the minor sonority, examining not only the premises and con clusions of the principal dualists, but also those of their followers and their critics. Prior to the rise of Romanticism, the minor triad had al ready been the subject of some theoretical speculation. Zarlino first considered the major and minor triads as en tities, finding them to be the result of harmonic and arith metic division of the fifth, respectively. Later, Giuseppe Tartini advanced his own novel explanation: he found that if one located a series of fundamentals such that a given pitch would appear successively as first, second, third •.• and sixth partial, the fundamentals of these harmonic series would outline a minor triad. l Tartini's discussion of combination tones is interesting in that, to put a root un der his minor triad outline, he proceeds as far as the 7:6 ratio, for the musical notation of which he had to invent a new accidental, the three-quarter-tone flat: IG. -
Hexatonic Cycles
CHAPTER Two H e x a t o n i c C y c l e s Chapter 1 proposed that triads could be related by voice leading, independently of roots, diatonic collections, and other central premises of classical theory. Th is chapter pursues that proposal, considering two triads to be closely related if they share two common tones and their remaining tones are separated by semitone. Motion between them thus involves a single unit of work. Positioning each triad beside its closest relations produces a preliminary map of the triadic universe. Th e map serves some analytical purposes, which are explored in this chapter. Because it is not fully connected, it will be supplemented with other relations developed in chapters 4 and 5. Th e simplicity of the model is a pedagogical advantage, as it presents a circum- scribed environment in which to develop some central concepts, terms, and modes of representation that are used throughout the book. Th e model highlights the central role of what is traditionally called the chromatic major-third relation, although that relation is theorized here without reference to harmonic roots. It draws attention to the contrary-motion property that is inherent in and exclusive to triadic pairs in that relation. Th at property, I argue, underlies the association of chromatic major-third relations with supernatural phenomena and altered states of consciousness in the early nineteenth century. Finally, the model is suffi cient to provide preliminary support for the central theoretical claim of this study: that the capacity for minimal voice leading between chords of a single type is a special property of consonant triads, resulting from their status as minimal perturbations of perfectly even augmented triads. -
The Aesthetic Appreciation of Musical Intervals Among School Children and Adults
THE AESTHETIC APPRECIATION OF MUSICAL INTERVALS AMONG SCHOOL CHILDREN AND ADULTS. BY C. W. VALENTINE, Lecturer in Experimental Psychology to the St Andrews Provincial Committee for the Training of Teachers. r. The purpose of the experiments. rr. The method of experiment with adults. m. T?ke order of popularity of the interwals. I v. The aesthetic efect of the diferent intervals. Major and mivhor intervals. The octave. Concords felt as discords. V. The method of experiment with school children. vz. liesults of the experiments with Elementary School children. vrr. Results of the experiments with Preparatory School children. mr. Comparison of the results of the experiments in the Elementary and Preparatory Xchools. rx. Tests for a ‘musical ear.’ X. Introspection of school children. xr. Sex differences in the Elementary School experiments. xu. Summary of results and conclusions. I. The purpose of the experiments. IN1910 some experiments were begun in order to test the aesthetic appreciation of musical intervals among school children. The object was to discover, if possible, something as to the development with age of a feeling for consonance, and to determine the differences in this respect among children belonging to different cultural groups and having had different degrees of musical training. It seemed desirable also to obtain results from adults, for the sake of comparison. Apart from this, I wished to ascertain the extent to which in- dividuals could be divided into ‘ perceptive types ’ according to their attitude towards musical elements, as Mr E. Bullough has classified C. W. VALENTINE 191 them in reference to coloursl, and to note any marked difference be- tween the sexes in reference to their appreciation of musical intervals2.