Golden Sayings of Leschetizky
Adult Music StudyProgress is never entirely in a forward direction! Regression is a natural component of the learning process. And adults are notoriously critical of themselves. Relax and enjoy each forward step you experience, and be patient w/ the setbacks. Walk away when you get frustrated, and try again later. You never know when it's going to be a good performance or a bad one. However, if you have a good practice method, you will get more consistent as the years go by. And you do have to wait for a couple of years to get the perspective you need to really understand how it's going to work. See the same process at work in other endeavors, like learning Spanish. The idea behind the voice lessons is you learn the practice method, and then you just apply it to any song. It's really hard to stick w/ voice lessons, because a student is never satisfied w/ how he or she sounds! Hang in there. Liturgical mode nomenclature compared to modern nomenclatureLiturgical Modern Pitches in ascending order I - Authentic modes (tones in medieval parlance) Dorian Dorian |D| E F G (A) B C D Phrygian Phrygian |E| F G A B (C) D E Lydian Lydian |F| G A B (C) D E F Mixolydian Mixolydian |G| A B C (D) E F G II - Plagal modes (derived tones) Hypodorian Aeolian A B C |D| E (F) G A Hypophrygian Locrian B C D |E| F G (A) B Hypolydian Ionian C D E |F| G (A) B C Hypomixolydian Dorian D E F |G| A B (C) D The enclosed pitch |X| is the 'finalis' of the mode, what we might today call the tonic note; the pitch enclosed (X) is the 'cofinalis' or what we would call a dominant. In chants sung in a given mode, the cofinalis was often used as a secondary tonal center. In modern harmonic theory, the tonic going up to the dominant always form the interval of the fifth. Among the authentic modes, the Phrygian is the transgressor to this convention. These designated pitches must not be construed in terms of absolute pitch, however, as that concept and standard was not yet developed. A liturgical mode should rather be understood as specified by a sequence of intervals (not well tempered), a range, and by its finalis and cofinalis. It must also be recognized that a mode is a theoretical construct derived by abstraction from practice. The medieval mode construct relied also very heavily on the misreading of the available ancient Greek theory. In modern modal sense, the finalis is always the first note of the mode's 'scale', while the dominant (analog of the cofinalis) is always gotten by counting up four "white steps" from the finalis (tonic). In all cases but the Locrian mode, this gives an interval of a well tempered fifth between tonic and dominant; in the locrian mode, it gives a tritone. If we use an accidental to correct the tritone to a fifth, we have to replace F with F#; doing this, however, gives the G Phrygian mode; so one is really stuck with the tritone relation. Writing in an essentially C major key but making the resting tone B (which is classically considered the leading tone - that is leading to C) requires a considerable amount fancy footwork, and a placing of a great emphasis on the returning to B as a resting tone. The Locrian mode was not and is not much used. With regard to use of the accidental operators (#, b), only Bb was in use. An older German notation calls "B" what we now call "Bb" and calls "H" what we call "B": thus the possibility of motivizing the name of BACH, exploited by J. S. Bach himself in the final and uncompleted fugue from his The Art of the Fugue, as well as by numerous other composers in homage to the master; most notably, Liszt and Reger. Since it is possible to think of a keyboard tuned to a just tempered C major tonality including the Bb, the above notation is a justifiable one, and ones sees either eight or nine (with the Bb) pitches, with different sets of finalis and cofinalis. The expression of these distinguished pitches within the chant was by way of certain characteristic phrases or cadential formulas for the mode to terminate a phrase or semiphrase on the finalis or cofinalis respectively. It is probably worth mentioning that in addition to modes of pitch in medieval church music, there were also modes of rhythm [Grout 1973]. For some other musical definitions Eric's Treasure Trove: music is helpful. Although this might look like a bit of meaningless but fancy footwork since we are talking about nothing more than cyclic permutations of the same set of tones, the distinctions should be seen in terms of sequence of Full tone (T) and semitone (S) intervals. Ionian: T T S T T T S Dorian: T S T T T S T Phrygian: S T T T S T T Lydian: T T T S T T S Mixolydian: T T S T T S T Aeolian: T S T T S T T Locrian: S T T S T T T It is the resting point combined with intervallic structure that gives a mode its auditory qualities. One might think that these names were taken over directly from the Liturgical nomenclature for pretty much the same structures. One would be very wrong. One would think that after having corrected the correspondences to the liturgical modes, that then the objects and names would be in accordance with those of the ancient Greeks. One would be even more wrong. So clearly these are assumptions definitely not to be made. We are very fortunate to have some rather early theoretical writings by Greeks concerning music. The earliest is seemingly the "Harmonics" of Aristoxenus (ca. 330 BCE), and so we know what the theorists say. Understanding what they mean, however, is an entirely different matter, since written examples of any music to which the written theory may pertain are almost nonexistent. This ignorance of the reality of ancient Greek music goes so far that we are not quite sure what a Greek mode really was. We understand Greek music on the level of pitch tempering. Trying to understand or retrodict what the music was like is equivalent to predicting the "Variations and Double Fugue on a Theme of Bach", by Max Reger, merely from a knowledge of well tempering and possibly a bit about chords and classical chromatic harmonic cadential formulas. It can't be done. For an interesting and thoughtful essay on the problem that is based in actual research, see The Ancient Musical Modes: What Were They?, together with more links there. From the writings of Aristoxenus, one can deduce that the ancient Greeks used microtonal embellishments, probably not unlike those stylistic practices in modern Greek music, and indeed throughout middle eastern cultures. These have no notational place in western scoring language. To the Greeks, all thinking about anything serious was philosophy, and writings on music theory were therefore in that culture, philosophy. Ancient Greek philosophers were in one important respect no different that philosophers in any other culture or time: the writings were predominantly prescriptive and proscriptive. See Plato's "Republic", Hobbes "Leviathan" [shudder], or any other poison of choice. Whether or not the theories of Greek music were actually pay attention to in practice is at very least in question. It is reasonably clear that all theorizing about music is fundamentally derived from Pythagoras who understood the intervallic concepts that we call the octave, fifth, and fourth. Greek music seems to have been automatically wedded to language either by recitation or by song, but most popularly involved also two instruments, the aulos and the kithara. For some other musical definitions Eric's Treasure Trove: music may be helpful. How many times do you have to repeat a musical concept before it's "permanently" learned?At least 7. That's why the better theory workbooks present a new concept, then reinforce it 6 or more times through the book, like the "Just the Facts" series.* Piano students often get frustrated when something they played correctly "just a minute ago" now sounds like a train wreck. Adult students are especially critical of their abilities; making mistakes in music can even make them doubt their intelligence! Remembering theory facts is another source of embarrassment for students. They think (or their teachers expect) that they must remember, for instance, that the major scale pattern is Keynote-Whole-Whole-Half-Whole-Whole-Whole-Half, after just one lesson. The truth is, no student permanently learns any fact or skill after just one lesson! In fact, psychologists say that a fact or skill must be repeated about 7 times before it's stored in your permanent memory, and at least 8 times before you can start applying that new knowledge or feel that logical connection. Ok - some people will need only 6 repetitions to make a permanent memory, and some people will need 10 or more. You never know. Try it - study a new fact or skill on 7 different days, and see if you can still remember it a month later. The point is: playing it right once doesn't mean you have it down. That's why I ask my students to do "correct reps." A rep is a repetition. Just like in body building, reps are needed to build up and condition muscles. In piano playing, the muscles are quite small, but they still need conditioning (especially your left hand). Body builders also have to use the "correct form," which means performing the exercise correctly, or else it could injure them, or build a muscle other than the one they thought they were working on. So playing music correctly every time is supremely important. Otherwise, your fingers will remember how to play it wrong! There is such a thing as "muscle memory." Piano players use muscle memory every time they play a song that just seems to play itself. Has this ever happened to you? You don't have to think about every note, or even a whole section - it plays automatically. Your brain's memory is like a muscle, too: the more you use it, the stronger it gets. That means the way you learn a song determines how well you'll remember it, and how well you pay attention to a theory fact and store it in your memory will make a difference as well. Learn your music and theory facts methodically first, and give your "muscles" enough "reps" to put the information into permanent storage. You'll be happy with the results. *Just the Facts: a Music Theory Workbook, by Ann Lawry, Bks 1 through 12, MusicBag Press, PO Box 866953, Plano TX 75086-6953. Music 'makes the brain learn better'From the BBC, Sunday, July 27, 2003. See http://news.bbc.co.uk/2/hi/health/3095807.stm Learning PianoHow long will it take me to learn how to play the piano? Don't you need talent to play the piano? Why can I play a piece perfectly one day and not the next? The goal is not to play every piece perfectly every time; rather, have a goal of enjoying the music and expressing yourself. I get so discouraged when I see people play piano who are much better than I. How can I feel better? How long should I practice each day? What if I play a section over and over but it never gets perfect? The problem is that students expect a piece of music to perfect itself by running through the piece from beginning to end a number of times. That rarely works either. You’re better off using your time, however short, to work on specific measures of a song. It’s like ironing a shirt. The shirt is full of wrinkles, and you iron out one part of the shirt at a time. Sometimes you even create a new wrinkle with the iron. Don’t iron the whole shirt over again! Just concentrate on that wrinkle. Try a new approach, as if you’re sprinkling extra water on the wrinkle. And GO SLOWLY. This is where patience pays off. TIP FOR SHARPS AND FLATS Performance Tempo vs. Practice TempoAdult students have a tendency to “practice” a piece at full speed, the speed at which they hear the song in their heads. That’s a bad habit. You can’t run before you can walk. You can’t pick up a new dance routine by jumping in and watching everyone’s feet for just a minute. You need someone to take you aside and show you the steps in slow motion a few times. And, adult students have a tendency to stop at performance tempo, and never attempt the song any faster than they hear it in their heads. This means they are always playing at the limit of their ability. This is extremely risky, since if you get nervous, you will automatically try to play the song faster than you’re comfortable doing, and you will “crash.” Therefore, learn a song in sections. Practice each section at a very slow tempo, then speed up gradually to performance tempo. Then exceed performance tempo to test your coordination and skill. (It’s fun to see how fast you can play – kids do it all the time!) If you can play it correctly at a faster speed than you need, then performance tempo will feel relaxed and easy./p> Physics of the KeyboardThe A above Middle C is commonly tuned to 440 cycles per second in the U.S. and many other countries. (Some countries use 435 or 445 or other frequencies.) A “frequency” is a number that counts the number of vibrations, or cycles, a string makes in a second. Each higher octave vibrates twice as fast as the lower one. That means that the A above A440 is tuned to 880 cps, and the A above that vibrates at 1760. By the same token, the A below middle C vibrates at 220 cps, the A below that at 110, and the A below that at 55. Going down an octave makes that note a frequency half as fast. Disclaimer: These frequencies are approximate. A piano tuner “tweaks” each note to make it conform to a standard that is not exactly precise, mathematically. But we’ve gotten our ears used to it. My point is this: notice the range between the A440 and the A880. It’s a distance of 440 cycles, spread out over the 12 notes in that octave, right? Now notice the range between A110 and A220. It’s a distance of only 110 cycles, spread out over the same 12-note distance. Therefore, the frequencies assigned to the notes between A110 and A220 are pretty close together, compared to the frequencies assigned to the notes between A440 and A880. Still with me? When there’s not much distance between frequencies, that group of notes tends to sound more and more the same. That’s why the lower notes on a piano sound muddy. The high notes on a piano sound more bell-like and clearer, because there’ s quite a bit of distance between one note and the next. Low keys on the piano vibrate the long strings in the piano, and high keys vibrate the short strings. If you chop a string in half, it will vibrate twice as fast as its original length. How your brain learns to play piano - Help it help you!Learning how to do something is really allowing your brain a chance to focus on what you want done and then teaching it, by making a concentrated effort, how to do that thing correctly. You might suppose you learn piano by making an effort to learn notes, time signatures and so forth. But, how do you, once you get started, actually learn and remember how to play those keys? And, once you get really good, how come you forget all about how you learned something when now it seems you just, "Know it"? The thing is you don't actually learn how to play piano; your brain does the learning and keeps the memory so that you can later play without even giving much thought to how or what you are doing. Even better, your brain actually doesn't much care what you learn. It, odd as it may sound, mindlessly stores information and plays back what you taught it when you want the piece to begin. (So, be careful how and what you do with yourself!) What happens in learning is that you focus, (or, your mother focuses) your attention and effort towards learning piano. You sit down and start looking at the music and tapping out the notes one at a time. Under your breath you may be muttering, "Ohhhh... Myyyyy... Darhling... Er... Darling.... Er... Cle-Cle-Cle... men-time... Er, tine...." as your fingers plod along following your eyeballs following the notes on the page.... As you go along in your efforts you consciously compare the song you've heard a million times to the stuttering efforts you're making of the song.... Been there, did that, right? While you are aware of your efforts, your brain is also responding to your act of focusing on this task. It routes the inputs from the page, your mutterings, your ears, the notes you hit, and how your fingers feel - out there on the keyboard - to a specific area of the brain that has to do with finger motor skills. This task, to your brain, falls into an area that handles things like knitting, sign language, and so forth: finger stuff.... Over time, your efforts cause your brain to create a new subroutine of finger actions that eventually, with enough practice and correction, begins to sound like a recognizable and hopefully pleasant bit of music. In neurological terms, the repetitive actions of your fingers have caused your brain to create a special area inside your skull to handle just this piece of music. "Clementine" gets hard-wired into your brain and can now be played back without very much thought at all on your part. You think, "Clementine" and you hit the first note. Now, "domino fashion" all the other notes follow... "Da-da-daa-DA-da-da-DA-da..." How this happened was that your brain tracked the nerve inputs from your fingers, noted the corrections made, and created an efficient record of what you want done. Your piano memory of this song is an actual place in your brain matter. Brain surgeons and scientists have long figured out that if you stimulate certain areas of the brain with an electrode (basically, "hot-wiring" your brain to "do" something) a patient can smell, see, hear, and recall things just as a result of the electrode stimulating some brain cells. This song is organically stored in your brain! These organic subroutines are automatic when fully learned and free our conscious minds up to do other things. Playing piano and looking around becomes as "easy" as riding a bike while talking, or, driving while singing to the radio. Once the subroutine has formed, you don't have to concentrate on doing the thing as much as you used to... Notice, however, that learning how to ride a bike the "normal way" doesn't make us able to do stunts on the bike without additional practice. Nor can we drive in reverse as easily as we can drive forward - without additional practice. For even old skills, all changes require us to go back to teaching the brain a new subroutine, even if it is a variation of an existing subroutine. And, this kind of skill only goes one way. Starting in the middle of a piece is difficult, and playing it backward, without lots of practice, is simply impossible unless you've got some really strong subroutines in place to do that sort of thing already. As discouraging as that might sound, consider the cool part: once you have it, you've got it. And, it is easier to learn something similar than something completely new - most the time. Once you've spent enough time getting your subroutine in place, you'll have an easier time speeding up, slowing down, or jazzing up a piece you "know" so well. What this says about learning is that you don't really learn things. You show up and get started and your brain does the work of keeping track of your efforts. You just have to give it a chance to learn. Practice often, ask questions, focus on getting things right, get enough sleep, eat right, study in a place without lots of distractions - and let your brain handle the rather simple task of learning a few notes of music at a time until you have an entire song, or, book of songs built into your mind for playback with your fingers. And, go back and review what you have already learned. You've heard of "Use it or lose it," right? Well, your brain is part of a living thing and brain cells and connections come and go... Plus, priorities change... Your brain may get busy with something, like a new job or raising kids, and start borrowing time and energy from other areas to focus on other activities. Subroutines deteriorate for a number of reasons, but you can keep what you know in good condition by practice and review. You never really loose everything, but you can lose enough of something you once knew to get discouraged about relearning something. So, save yourself some time and trouble and refresh those subroutines from time to time. Learning is a natural thing and guaranteed to work if you go about it the right way, long enough, for your brain to get things set up to create the results you want. Your brain doesn't care how smart you are, or, how tall you are... It really does one thing at a time (without subroutines) and only about as good as you train it. But, if you train it well, you can "make" beautiful music no matter who you are, where you live, where you went to school, how old your are, or, how you feel about politics... Just give it, and yourself, lots of opportunity to do good - and you'll get it! |