Monday, March 1, 2010

Everything you ever wanted (or didn't want) to know about the Saxophone

Origins

The saxophone was designed and built by Belgian instrument tinkerer, Adolphe Sax in the early 1840's, and was officially patented in 1846. In it's outline, a saxophone is really a mishmash of different instrumental concepts, combining the brass, conical-bore body with a woodwind's fingering system and a single reed mouthpiece. The result is a very mellow and rich tone and great tonal flexibility, especially in the upper range. Most people will recognize the saxophone from a marching or military band, or from it's adopted genre, Jazz. However, there is very broad repertoire for what is known as the "classical" saxophone.
There are five typically used Saxophones, whose written ranges are all the same. The normal written range of the Saxophone is from B♭ to f3, although I have included the transpositions for the sounding ranges of the various instruments.
  • Soprano - M2 lower
  • Alto - M6 lower
  • Tenor - M9 lower
  • Baritone - M12 lower
  • Bass - M15 lower
There are also a sopranino and contra-bass saxophone, but I have never seen or heard those played. Most everyone can learn to use a saxophone no matter what age. It is a hardy and versatile instrument, and much easier for the beginning woodwinds student to learn then the clarinet, because the reed on a saxophone is thicker, and thus vibrates with more back-pressure.

Putting the pieces together

One should generally sit down while putting the saxophone together. Less chance of disaster, which is why the mouthpiece cap can be used to cover the reed after assembly. Must protect the instruments! General assembly is as follows;
  1. Put the mouthpiece on the neck with a gentle sliding or twisting motion, using some cork grease if the cork is too tight. One should be really careful with this step, because the placement of the mouthpiece on the neck affects how in tune the instrument is. Pulling the mouthpiece out will lower the pitch, and pushing in will raise the pitch. A general guideline is to put the mouthpiece about one inch into the neck, and then adjust from there.
  2. Then connect the neck to the saxophone body. You should sit, holding the body in your lap with your left hand around the bell, making sure not to grab around any of the keys or valves, as any damage will affect the tone of the instrument. Make sure that the tightening screw is loose, pick up the neck with your right hand, and align the bottom of the neck over the center of the keys. The octave key valve and rod should be lined up, and then just slide into place. You can use some oil if the going gets rough, and then tighten the screw.
  3. Place the ligature on the mouthpiece, watching to make sure that the right side is up. Slide the thick end of a moistened reed into the ligature and line it up, so that the tip of the reed creates a seal with the facing of the mouthpiece. Tighten the screws, and you are done! You are ready to play, or at least try.
Playing a Saxophone

Breathing.
Really, I can not stress enough how important it is. Not just for life (duh) but for proper playing technique. To optimize your breathing, one needs to learn how to control the diaphragm, the bowl-shaped muscle on the underside of your ribs, which separates the lungs from the stomach, and allows for exhalation and inhalation. The action of the diaphragm is largely involuntary, but as all singers and woodwinds players know, you can learn how to manipulate the diaphragm, with other, voluntary muscles to maximize your breathing capacity. There are lots of exercises you can find to help you with this, the best of which will try to get you to hold your diaphragm expanded, in its flattened shape, for as long as possible to increase breath control.

Posture
Posture is also critical here, to avoid strain and increase breath capacity. The saxophone uses a neck-strap to help balance the weight, but otherwise the weight rests on the thumbs, under the thumb-rests. The head should be held erect, bringing the mouthpiece to your mouth, instead of bending forward to reach it. Your top teeth should feel like there is pressure on them, and very little pressure on the bottom teeth. The back should be straight and relaxed, with both feet firmly planted on the floor.
Your hands should be relaxed and arched, but spread and ready to play. The keys don't require a whole lot of pressure to close firmly, so being relaxed is the most important part of hand positioning, which leads to more efficient fingering.

Embouchure
There are two types of Embouchure, the "classical" and the jazz, but I am only going to talk about the classical one here. The classical embouchure involves a firm, but not tight mouth seal, like a rubber-band, around the mouthpiece. The mouth should remain relatively still during all playing, and the teeth should line up as if there were no instrument in the mouth at all. To form the embouchure, roll the bottom lip over the bottom teeth, place the top teeth about one-half inch from the tip of the mouthpiece and seal the lips. The throat should be really relaxed, as if one were saying the syllable "ahh".

Tonguing
On the saxophone, all articulation begins with the tongue. To begin, assemble the instrument with a thoroughly soaked 2-2 1/2 reed and hold in playing position. Take a breath and form your embouchure, then place the tip of your tongue gently against the reed, pushing it to create a seal. Start the air pressure and lift your tongue off the reed to initiate the tone. When you wish to stop the tone, simple cease blowing air. Steady breath supply is crucial, and one should be careful to avoid puffing the cheeks too much. Most tonguing problems are the result of changing registers, harsh attacks, neglecting to use the tongue to start the tone, and not touching the tongue to the reed completely. This is a helpful checklist to follow if one finds they are having difficulty:
  • Make sure your reed is in good condition and properly soaked
  • Make sure that the reed is centered and the ligature is straight
  • Being gentle with the tongue
  • still jaw and lips throughout the articulation
As a review, the steps for articulating the tone are;
  1. inhale
  2. place the top teeth on the mouthpiece
  3. set the embouchure
  4. close the reed with the tongue
  5. create air pressure behind the reed
  6. remove the tongue
  7. sustain a tone

That is all on the Sax so far. A cool instrument, isn't it? Sounds so easy on paper...

Tuesday, February 16, 2010

The Pope's Address for Lent

“The justice of God has been manifested
through faith in Jesus Christ” (cf. Rm 3, 21-22)


Dear Brothers and Sisters!

Each year, on the occasion of Lent, the Church invites us to a sincere review of our life in light of the teachings of the Gospel. This year, I would like to offer you some reflections on the great theme of justice, beginning from the Pauline affirmation: “The justice of God has been manifested through faith in Jesus Christ” (cf. Rm 3, 21-22).

Justice: “dare cuique suum”

First of all, I want to consider the meaning of the term “justice,” which in common usage implies “to render to every man his due,” according to the famous expression of Ulpian, a Roman jurist of the third century. In reality, however, this classical definition does not specify what “due” is to be rendered to each person. What man needs most cannot be guaranteed to him by law. In order to live life to the full, something more intimate is necessary that can be granted only as a gift: we could say that man lives by that love which only God can communicate since He created the human person in His image and likeness. Material goods are certainly useful and required – indeed Jesus Himself was concerned to heal the sick, feed the crowds that followed Him and surely condemns the indifference that even today forces hundreds of millions into death through lack of food, water and medicine – yet “distributive” justice does not render to the human being the totality of his “due.” Just as man needs bread, so does man have even more need of God. Saint Augustine notes: if “justice is that virtue which gives every one his due ... where, then, is the justice of man, when he deserts the true God?” (De civitate Dei, XIX, 21).

What is the Cause of Injustice?

The Evangelist Mark reports the following words of Jesus, which are inserted within the debate at that time regarding what is pure and impure: “There is nothing outside a man which by going into him can defile him; but the things which come out of a man are what defile him … What comes out of a man is what defiles a man. For from within, out of the heart of man, come evil thoughts” (Mk 7, 14-15, 20-21). Beyond the immediate question concerning food, we can detect in the reaction of the Pharisees a permanent temptation within man: to situate the origin of evil in an exterior cause. Many modern ideologies deep down have this presupposition: since injustice comes “from outside,” in order for justice to reign, it is sufficient to remove the exterior causes that prevent it being achieved. This way of thinking – Jesus warns – is ingenuous and shortsighted. Injustice, the fruit of evil, does not have exclusively external roots; its origin lies in the human heart, where the seeds are found of a mysterious cooperation with evil. With bitterness the Psalmist recognises this: “Behold, I was brought forth in iniquity, and in sin did my mother conceive me” (Ps 51,7). Indeed, man is weakened by an intense influence, which wounds his capacity to enter into communion with the other. By nature, he is open to sharing freely, but he finds in his being a strange force of gravity that makes him turn in and affirm himself above and against others: this is egoism, the result of original sin. Adam and Eve, seduced by Satan’s lie, snatching the mysterious fruit against the divine command, replaced the logic of trusting in Love with that of suspicion and competition; the logic of receiving and trustfully expecting from the Other with anxiously seizing and doing on one’s own (cf. Gn 3, 1-6), experiencing, as a consequence, a sense of disquiet and uncertainty. How can man free himself from this selfish influence and open himself to love?

Justice and Sedaqah

At the heart of the wisdom of Israel, we find a profound link between faith in God who “lifts the needy from the ash heap” (Ps 113,7) and justice towards one’s neighbor. The Hebrew word itself that indicates the virtue of justice, sedaqah, expresses this well. Sedaqah, in fact, signifies on the one hand full acceptance of the will of the God of Israel; on the other hand, equity in relation to one’s neighbour (cf. Ex 20, 12-17), especially the poor, the stranger, the orphan and the widow (cf. Dt 10, 18-19). But the two meanings are linked because giving to the poor for the Israelite is none other than restoring what is owed to God, who had pity on the misery of His people. It was not by chance that the gift to Moses of the tablets of the Law on Mount Sinai took place after the crossing of the Red Sea. Listening to the Law presupposes faith in God who first “heard the cry” of His people and “came down to deliver them out of hand of the Egyptians” (cf. Ex 3,8). God is attentive to the cry of the poor and in return asks to be listened to: He asks for justice towards the poor (cf. Sir 4,4-5, 8-9), the stranger (cf. Ex 22,20), the slave (cf. Dt 15, 12-18). In order to enter into justice, it is thus necessary to leave that illusion of self-sufficiency, the profound state of closure, which is the very origin of injustice. In other words, what is needed is an even deeper “exodus” than that accomplished by God with Moses, a liberation of the heart, which the Law on its own is powerless to realize. Does man have any hope of justice then?

Christ, the Justice of God

The Christian Good News responds positively to man’s thirst for justice, as Saint Paul affirms in the Letter to the Romans: “But now the justice of God has been manifested apart from law … the justice of God through faith in Jesus Christ for all who believe. For there is no distinction; since all have sinned and fall short of the glory of God, they are justified by His grace as a gift, through the redemption which is in Christ Jesus, whom God put forward as an expiation by his blood, to be received by faith” (3, 21-25). What then is the justice of Christ? Above all, it is the justice that comes from grace, where it is not man who makes amends, heals himself and others. The fact that “expiation” flows from the “blood” of Christ signifies that it is not man’s sacrifices that free him from the weight of his faults, but the loving act of God who opens Himself in the extreme, even to the point of bearing in Himself the “curse” due to man so as to give in return the “blessing” due to God (cf. Gal 3, 13-14). But this raises an immediate objection: what kind of justice is this where the just man dies for the guilty and the guilty receives in return the blessing due to the just one? Would this not mean that each one receives the contrary of his “due”? In reality, here we discover divine justice, which is so profoundly different from its human counterpart. God has paid for us the price of the exchange in His Son, a price that is truly exorbitant. Before the justice of the Cross, man may rebel for this reveals how man is not a self-sufficient being, but in need of Another in order to realize himself fully. Conversion to Christ, believing in the Gospel, ultimately means this: to exit the illusion of self-sufficiency in order to discover and accept one’s own need – the need of others and God, the need of His forgiveness and His friendship. So we understand how faith is altogether different from a natural, good-feeling, obvious fact: humility is required to accept that I need Another to free me from “what is mine,” to give me gratuitously “what is His.” This happens especially in the sacraments of Reconciliation and the Eucharist. Thanks to Christ’s action, we may enter into the “greatest” justice, which is that of love (cf. Rm 13, 8-10), the justice that recognises itself in every case more a debtor than a creditor, because it has received more than could ever have been expected. Strengthened by this very experience, the Christian is moved to contribute to creating just societies, where all receive what is necessary to live according to the dignity proper to the human person and where justice is enlivened by love.

Dear brothers and sisters, Lent culminates in the Paschal Triduum, in which this year, too, we shall celebrate divine justice – the fullness of charity, gift, salvation. May this penitential season be for every Christian a time of authentic conversion and intense knowledge of the mystery of Christ, who came to fulfill every justice. With these sentiments, I cordially impart to all of you my Apostolic Blessing.

My thanks to Fr. Laurent Demets for the text. Spread the word!

Satyagraha

“The literal meaning of stayagraha is this – insistence on truth, and force derivable from such insistence” (447).
The principles of Satyagraha are beautiful principles derived from the statutes of most major world religion. It speaks of love and of truth as one, as God as one, and therefore, intends to unite all religions, regardless of creed or dogma. Regardless of the ultimate truth of who God is, the implications of some good or truth in human beings are the same, and should be pursued to an ultimate end. However, in a secular government, it would seem impossible to implement such standards of truth and love because of their foundations on religion. How is a Western nation supposed to adopt the principles of satyagraha, when religion and state are meant to be seperate? Secularity is the state of being unattached to religion, and as long as the definition of secularity remains so, the principles of satyagraha may not be implemented in a Western nation without the loss of it's secular identity. However, were secularity to be redefined as containing only those elements of religion which have been shown to be universal, then satyagraha could be successfully implemented in Western nations without the loss of secularity. The first step to achieving this goal is to reintroduce the taboo subject of religion in the Western state. The second is to effect laws which are synonymous with the goals of satyagraha, and lastly, one must teach humans the principles of satyagaha from a young age, in the schools of these Western nations. Once these things have been done, one may find a completely transformed society, in which the pursuit of Truth and Love are the goals of every man, woman, and child.
The first way in which to implement satyagraha in Western nations is to eliminate the fear of religion. State and Religion are separate entities, but, as to quote Sir Thomas Moore, “when a public man ignores his private conscience, the end result is chaos”. The states of all Western nations must come to realize that the values of religion maintain their integrity whether in the guise of Buddhism, Christianity, Islam, or Hinduism. The only belief which is not synonymous with these values is Atheistic Nihilism, which believes in nothing at all except terror and wilderness. Without a belief in the soul, it is impossible to believe in the dignity of the human person, or in Truth, or Love at all. Thus, if a state wishes to cultivate virtue, goodness, and the pursuit of Truth and Love, then it must encourage religious piety, not discourage it. The state must encourage all the good aspects of religion and discourage all the bad aspects, not discourage all the aspects of religion all together. “All religious sects and divisions, all churches and temples, are useful only so long as they serve as a means towards enabling us to recognize the universality of satyagraha” (449). Once the highest axioms of religion are no longer taboo in society, once piety is looked upon as a civil virtue as well as a private one, then corruption will fade away, immorality with die, and divisions among men will cease. It is not differences of opinion which matter and which should be eradicated. No, for this will lead us on the short route to terror. Rather, the state must focus on unifying it's people with love and the universal principles of world religions, in short, with the principles of satyagraha.
The second method and logical progression for introducing the principles of satyagraha is to effect laws which are in accordance with these principles and do away with laws which are not in accordance. The state, in encouraging it's people to embrace the principles of satyagraha, must allow resources and tools for those people who wish to pursue those principles to do so. A law against the public display of the ten-commandments, for example, would be a hindrance to the mutual well being and the practice of satyagraha, because it attempts to do away with the display of the highest axioms of a religion. These axioms are good, and in accordance with satyagraha, and thus a law prohibiting their display would be hindering satyagraha, and in conflict.
The final step in implementing satyagraha is to provide for the education of children in the ways of satyagraha. To quote Ghandi, “It should be an essential of real education that a child should learn that, in the struggle of life, it can easily conquer hate by love, untruth by truth, violence by self-suffering” (447). All children must believe that the principles of satyagraha are principles on which the world is set in its foundations. If they believe this, then they will grow up following these principles, and the future of Western civilization will be faced towards the realization of satyagraha. But this can not be done without the previous two steps already in place. Otherwise, children will grow up with opposing forces on their minds, arguing one against the other, and will not know whom to believe. Thus they will grow up with doubt and without a firm belief in Truth or Love, and live in the constant fear of error. The state, if it wishes to see satyagraha realized in the minds and hearts of its people, must therefore teach its future generations the highest axioms of Truth and Love from an early age. The children must know this from their youth, in their schools, and in their public spheres as well as in their homes.
In conclusion, the principles of satyagraha can only be implemented in Western society if the following were to take place. First, religion must be embraced as a method in which truth may by realized and love effected. Secondly, laws must be implemented to aid the pursuit of truth and love. And lastly, the state must take measures to encourage the implementation of the principles of satyagraha into the youth of its population. Once these measures have been implemented, the state will find itself experiencing a renaissance not only of virtue and moral values, but also in its economic, scientific and artistic spheres. Once excellence of one kind has been realized in a society, it spills over to surrounding areas, spreading its sweet smell and its goodness. Satyagraha is not valuable just for the issues of corruption and violence, but also for its effects on the social, political and financial wellbeing of the state.







Works Cited
Ghandi, Mahatma. “The Theory and Practice of Passive Resistance.” Cultural Conversations: The Presence of the Past. Eds. Stephen Dilks, Regina Hansen, and Matthew Parfitt. Boston: Bedford/St. Martin’s, 2001. 445-447.

Ghandi, Mahatma. “Meaning of Satyagraha.” Cultural Conversations: The Presence of the Past. Eds. Stephen Dilks, Regina Hansen, and Matthew Parfitt. Boston: Bedford/St. Martin’s, 2001. 447-449.

Saturday, February 6, 2010

The Benefits of Vocal study

Singing is a journey of self-discovery into the nature of one's own instrument, their voice. It is at the same time exploration, discovery, and actualization of all human potential and self-awareness. Singing is also:
1. As in the situation of acting, lends animation and expressiveness to the countenance
2. a means for the expression of internal thoughts and emotions
3. enlightens one to the world of fine text and artistic literature
4. Develops a better speaking voice for better self-expression and articulation
5. Allows one to overcome shyness and psychological inhibitions which restrict the outpouring of self into the external world.
6 Healthy, developing the lungs and introducing high levels of oxygen into the bloodstream and excellent for good posture and graceful poise
7. Is pleasurable as an artistic pursuit.
Aka... There is nothing disadvantageous about pursuing vocal literacy.

My definition and defense of singing

Singing is the ultimate psycho-physical act because it is the totality of the human body and soul working together to produce something truly beautiful. There are four major aspects of this mental and physical integration which is known as singing; respiration, phonation, resonation, and articulation.
Respiration provides the wings with which tone flies from the body.Without breath, nothing can happen that would happen in the voice. One must have complete control over their breathing mechanism, and to do this, a knowledge of the physiology and nature of the breathing instrument is vital. Coordination and management can be achieved by frequent breathing exercises, to open up the chest, increasing the flexibility of the diaphragm, and the capacity of the lungs. One must know how to "hook" into their breath, or access their supply of breath pressure and oxygen to produce a healthy and strong tone. to this end, more exercises are recommended.
Phonation is made up of three parts: (1) pressurized air from the lungs and through the glottis, (2) muscular adduction of the vocal chords, and (3) oscillation of the vocal folds. The oscillation of the vocal folds is what produces the tone through an event known as the Bernoulli Effect, when pressurized air flows through the opening of the vocal chords during abduction, which then forces air past in a steady steam, causing the chords to vibrate like the strings of a violin. To produce high quality phonation requires steady breath pressure, flexibility and relaxation in the vocal chords and in the laryngeal mechanism, tone clarity, and freedom. Freedom is key to proper phonation, because a constricted or stressed muscle will inhibit the oscillation and cause a strained tone, without vibrato.
Resonation is tone quality, that which is the acoustics of the sounds made by the vocal folds. Aspects of resonance include the space, or surfaces of resonation, frequency, amplitude, duration, and focus. The spaces/surfaces of resonation are perhaps the most important of all the factors of resonation. The surfaces do the resonating are the chest and subglottal airways, the larynx, the pharynx and the oral cavity, and the nasal and sinus cavities, out of which the oral cavity is the most important because of the immense amount of space available for the shaping of the tone.Various techniques of positioning allow maximal vocal resonance, including the position of the tongue, teeth, lips, and larynx. It is Resonation which produces the qualities we look for and which catch our ear.
Articulation is the ability to produce words identifiable to the human linguistics. The qualities of articulation are vowels and consonants, the factors of diction, by which one makes themselves understandable. This is necessary to convey the meaning of the text, and thus is a vital aspect of the singing gesture. The mechanisms of the body which produce articulate sounds are the larynx, tongue, teeth, and lips. To become fluent in the skills of articulation, a singer should pursue a complete knowledge of the different sounds of the different languages typically used in art songs, and maintain the articulatory flexibility to produce these new and different sounds.
All these aspects combine to produce that most beautiful of physical gestures, the singing gestures. It is excellence in all these little factors which combine into a Gestalt, or whole, greater then the sum of all the factors. The sound becomes something more, something which connects to the soul of the human person. In a way, singing is a more complete expression of the human person then thought, because it is a total body and a total mind integratoin. Whereas thought relies on the brain alone, singing relies on the whole body and the control of the mind, which is the true understanding of the human person as body and mind, not separate, but inseparable, not divided, but working together as a unified whole.

Friday, January 22, 2010

Double Harmonic Scale

Otherwise known as ARABIC or BYZANTINE scales. Rock'n awesome, I know. This is not, however, to be confused with the Arabic modes, which are built on quarter tones. The simplest Arabic mode just happens to resemble what Westerners call the Double Harmonic Scale. This scale also resembles the North Indian Thaat, Bhairav, and the South Indian Melakarta, Mayamalavagowla. So here is the lowdown on the Double Harmonic Scale.

Structure
The sequence of tones in the Double Harmonic Scale is:
half – augmented second – half – whole – half – augmented second – half.

Or, relative to the tonic, m2, M3, P4, P5, m6, M7

A really interesting feature about the double harmonic scale is it's symmetry around its root note. Breaking up the three note chromaticism and removing this symmetry by sharpening the 2nd or flattening the 7th note respectively by one semitone yields the Harmonic Major and Phrygian Dominant (more on this to come) mode of the Harmonic Minor scales respectively, each of which, unlike the double harmonic minor scale, has a full diminished chord backbone.Like most heptatonic (seven pitches in the octave) scales, the double harmonic scale has a mode for each of its individual scale degrees. The most commonly known of these modes is the 4th mode, the Hungarian gypsy scale, most similar to the harmonic minor scale with a raised 4th degree.

The second mode is somewhat of a hybrid between the blues scale (contains a #4) and bebop scale (both #6 and 7).

Use
The double harmonic scale is uncommonly used in Western music, because it does not closely follow any of the basic musical modes, nor is it easily derived from them. It also does not easily fit into common Western chord progressions such as the authentic cadence. The Arabic scale (in the key of E) was used in Nikolas Roubanis's "Misirlou", and Claude Debussy used the scale in "Soirée dans Grenade", "La Puerta del Vino", and "Sérénade interrompue" to evoke Spanish flamenco music or Moorish heritage.

This has always been one of my favorite scales, evoking a very exotic feel. Perfect for when you want to meditate, or feel like spicing up your day, play some music in a Double harmonic mode. Get your daily dose of Middle East!

Saturday, January 16, 2010

Musician's Datebook: January 16th

Births:
1728—Italian opera composer Niccoló Piccinni, in Bari;
1905—Spanish composer Ernesto Halffter, in Madrid;
1934—American composer Richard Wernick, in Boston, Massachusetts;
1943—English composer Gavin Bryars, in Goole, Yorkshire;
1943—English composer Brian Ferneyhough, in Coventry;

Deaths:
1886—Italian opera composer Amilcare Ponchielli, age 51, in Milan;
1891—French ballet composer Leo Delibes, age 54, in Paris;
1957—Italian conductor Arturo Toscanini, age 89, in New York;
1969—Russian-born American composer and songwriter Vernon Duke (Vladimir Dukelsky), age 65, in Santa Monica, Calif,;

Premieres:
1724 — Bach: Sacred Cantata No. 155 ("Mein Gott, wie lang, ach lange") performed on the 2nd Sunday after Epiphany as part of Bach's first annual Sacred Cantata cycle in Leipzig (1723/24);
1739 — Handel: oratorio, "Saul," in London at the King's Theater in the Haymarket (Gregorian date: Jan. 27);
1745 — Handel: musical drama "Hercules" (Julian date: Jan. 5);
1800 — Cherubini: opera "Les deux journées," in Paris at the Théatre Feydeau;
1869 — Borodin: Symphony No. 1, in St. Petersburg (Julian date: Jan. 4);
1876 — Tchaikovsky: "Serenade mélancolique,"in Moscow (Gregorian date: Jan. 28);
1905 — d'Albert: opera "Tiefland" (The Lowlands) (2nd version), in Magdeburg at the Stadttheater;
1916 — Prokofiev: "Scythian" Suite (Gregorian date: Jan. 29);
1933 — Miaskovsky: Symphony No. 11, in Moscow;
1936 — Frank Bridge: "Ovation (Concerto elegiaco)" for Cello and Orchestra, in London, by the BBC Symphony conducted by the composer, with Florence Hooton the soloist;
1942 — Britten: "Diversions on a Theme" for Piano Left Hand, by pianist Paul Wittgenstein, and the Philadelphia Orchestra, Eugene Ormandy conducting;
1969 — Babbitt: "Relata II," by the New York Philharmonic, with Leonard Bernstein conducting;
1983 — Daniel Asia: "Why (?) Jacob" for piano, by Sanford Margolis;
1997 — Esa-Pekka Salonen: "L.A. Variations" for orchestra, by the Los Angeles Philharmonic, with the composer conducting.