Showing posts with label music. Show all posts
Showing posts with label music. Show all posts

Tuesday, March 29, 2011

Oliver Sacks - Musicophilia

Leído entre: Mar 29, 2011 – Abr 01, 2011 (4 días).

Lo cool: Pretty much everything... Aprender acerca de "musical seizures". El capítulo 6 (Musical Hallucinations). El capítulo 9 (Papa blows his nose in G: Absolute Pitch), donde habla —por ejemplo— de que aparentemente hay mucha correlación entre el grado de "tonalidad" del idioma que habla una persona, y su habilidad o predisposición para "aprender" absolute pitch de niño (usando como ejemplo a estudiantes de música chinos y estadounidenses). El capítulo 14 (The Key of Clear Green: Synesthesia and Music). El capítulo 16 (Speech and Song: Aphasia and Music Therapy) donde habla de cómo personas que no pueden hablar, extrañamente pueden cantar sin problemas, y cómo eso se ha usado como terapia para regresarles parte de su capacidad de hablar.

Lo no cool: Nothing...

En general: Buen libro, bastante recomendable.

Amazon lo tiene aquí.

Notas y citas:

[Hablando de earworms]
The duration of such loops is generally about fifteen to twenty seconds, and this is similar to the duration of the visual loops or cycles which occur in a rare condition called palinopsia where a short scene —a person walking across a room, for example, seen a few seconds before— may be repeated before the inner eye again and again. That a similar periodicity of cycling occurs in both visual and auditory realms suggests that some physiological constant, perhaps related to working memory, may underlie both. (p.49)
And yet and earworm may also, more rarely, include a visual aspect, especially for those musicians who automatically visualize a score as they are hearing or imagining music. One of my correspondents, a French horn player, finds that when her brain is occupied by a brainworm,

reading, writing, and doing spatial tasks like arithmetic are all disturbed by it. My brain seems to be pretty well taken up with processing the [brainworm] in various ways, mainly spatial and kinesthetic: I ponder the relative sizes of the intervals between the notes, I see them laid out in space, I consider the layout of the harmonic structure that they are a part of, I feel the fingerings in my hand, and the muscular movements required to play them, although I don't actually act these out. It's not a particularly intellectual activity; it's rather careless and I don't put any intentional effort into it; it just happens...
I should mention that these unbidden [brainworms] never interfere with physical activity or with activities that don't require visual thought, like engaging in normal conversation.
(p.51)

I asked her why she spoke of musical "hallucinations" rather than musical "imagery".
"They are completely unlike each other!" she exclaimed. "They are as different as thinking of music and actually hearing it." Her hallucinations, she emphasized, were unlike anything she had ever experienced before. They tended to be fragmentary —a few bars of this, a few bars of that— and to switch at random, sometimes even in mid-bar, as if broken records were being turned on on and off in her brain. All of this was quite unlike her normal, coherent, and usually "obedient" imagery — though it did have a little resemblance, she granted, to the catchy tunes that she, like everyone, sometimes heard in her head. But unlike catchy tunes, and unlike anything in her normal imagery, the hallucinations had the startling quality of actual perception. (p.55)

Even Tchaikovsky was keenly aware that his great fertility in melody was not matched by a comparable grasp of musical structure — but he had no desire to be a great architectonic composer like Beethoven; he was perfectly happy to be a great melodic one. (p.98)

The fact that most people with congenital amusia are virtually normal in their speech perceptions and patterns, while profoundly disabled in musical perception, is very startling. Can speech and music be that tonally different? Ayotte et al. at first thought that the ability of amusic people to perceive the intonations of speech might be because speech was less exacting than music in its requirements for fine pitch discrimination. But Patel, Foxton, and Friffiths have shown that if intonation contours are extracted from speech, amusic individuals have severe difficulties discriminating these. It is clear, therefore, that other factors, such as the recognition of words, syllables, and sentence structure, must play a crucial part in allowing sevely tone-deaf people to speak and understand nuances of speech almost normally. (p.111-112)

The Finnish entomologist Olavi Sotavalta, an expert on the sounds of insects in flight, was greatly assisted in his studies by having absolute pitch — for the sound pitch of an insect in flight is produced by the frequency of its wingbeats. Not content with musical notation, Sotavalta was able to estimate very exact frequencies by ear. The sound pitch made by the moth Plusia gamma approximates a low F-sharp, but Sotavalta could estimate it more precisely as having a frequency of 46 cycles per second. (p.130)

When people with absolute pitch "hear a familiar piece of music played in the wrong key", Daniel Levitin and Susan Rogers write, "they often become agitated or disturbed... To get a sense of what it is like, imagine going to the produce market and finding that, because of a temporary disorder of visual processing, the bananas all appear orange, the lettuce yellow and the apples purple." (p.131)

Absolute pitch can shift with age, and this has often been a problem for older musicians. Mark Damashek, a piano tuner, wrote to me about such a problem:
When I was four, my older sister discovered that I had perfect pitch —could instantly identify any note across the keyboard without looking... I've been surprised (and disturbed) to find that my perceived piano pitch has shifted upwards by perhaps 150 cents [a semitone and a half]... Now when I hear a recorded piece or a live performance, my best guess at what note is being played is consistently, absurdly high. (p.133)

To give you a sense of how strange a lack of absolute pitch appears to those of us who have it, take color naming as an analogy. Suppose you showed someone a red object and asked him to name the color. And suppose he answered, "I can recognize the color, and I can discriminate it from other colors, but I just can't name it." Then you juxtaposed a blue object and named its color, and he responded, "OK, since the second color is blue, the first one must be red." I believe that most people would find this process rather bizarre. Yet from the perspective of someone with absolute pitch this is precisely how most people name pitches — they evaluate the relationship between the pitch to be named and another pitch whose name they already know... (p.134-135)

Jenny Safran and Gregory Griepentrog at the University of Wisconsin compared eight-month-old infants to adults with and without musical training in a learning test of tone sequences. The infants, they found, relied much more heavily on absolute pitch cues; the adults; on relative pitch cues. This suggested to them that absolute pitch may be universal and highly adaptive in infancy, but becomes maladaptive later and is therefore lost. "Infants limited to grouping melodies by perfect pitches", they pointed out, "would never discover that the songs they hear are the same when sung in different keys or that words spoken at different fundamental frequencies are the same." In particular, they argued, the development of language necessitates the inhibition of absolute pitch, and only unusual conditions enable it to be retained. (The acquisition of a tonal language may be one of the "unusual conditions" that lead to the retention and perhaps heightening of absolute pitch.) (p.138)

He could do this because his musical imagery and memory were intact. He knew how music —his own music and others'— should sound. It was only his perception of music that was distorted.
[footnote]
In this way, he differed radically from Mr. I., the painter who became totally unable to see color because of damage to the color-constructing areas of his visual cortex. Mr. I. became not only unable to perceive colors, but unable to imagine or see them in his mind's eye. (p.143-144)

For many years, the only patient I knew to be a synesthete was a painter who suddenly became totally coloblind following a head injury. He lost not only the ability to perceive or even imagine color, but also the automatic seeing of color with music which he had had all his life. Though this was, in a sense, the least of his losses, it was nevertheless a significant one, for music had always been “enriched,” as he put it, by the colors that accompanied it.
This persuaded me that synesthesia was a physiological phenomenon, dependent on the integrity of certain areas of the cortex and the connections between them — in his case, between specific areas of the in the visual cortex needed to construct the perception or imagery of color. The destruction of these areas in this man had left him unable to experience any color, including “colored” music. (p.179)

She describes her experience this way:
I always see images when I hear music, but I do not associate specific colors with particular musical keys or musical intervals. I wish that I could say that a minor third is always a blue-green color, but I do not distinguish the intervals all that well. My musical skills are pretty modest. When I hear music, I see little circles or vertical bars of light getting brighter, whiter, or more silvery for higher pitches and turning a lovely, deep maroon for the lower pitches. A run up the scale will produce a succession of increasingly brighter spots or vertical bars moving upward, while a trill, like in a Mozart piano sonata, will produce a flicker. High distinct notes on a violin evoke sharp bright lines, while notes played with vibrato seem to shimmer. Several stringed instruments playing together evoke overlapping, parallel bars or, depending on the melody, spirals of light of different shades shimmering together. Sounds made by brass instruments produce a fan-like image. High notes are positioned slightly in front of my body, at head level, and toward the right, while bass notes are located deep in the center of my abdomen. A chord will envelop me.(p.190)

It may be that Clive, incapable of remembering or anticipating events because of his amnesia, is able to sing and play and conduct music because remembering music is not, in the usual sense, remembering at all. Remembering music, listening to it, or playing it, is entirely in the present. (p.228, my emphasis)

Extraordinary, creative interactions can occur when someone with Tourette's performs as a musician. Ray G. was a man strongly drawn to jazz who played drums in a band on the weekends. He was noted for his sudden and wild solos, which would often arise from a convulsive drum-hitting tic — but the tic could initiate a cascade of percussive speed and invention and elaboration. (p.249)

[Hablando de personas que dejan de sentir una parte del cuerpo, ya sea por atrofia debida a falta de uso o a que fue amputada]
There may be inhibition or deactivation not only peripherally, in the nerve elements of the damaged tendons and muscles and perhaps in the spinal cord, but also centrally, in the "body image," the mapping or representation of the body in the brain. A. R. Luria, in a letter to me, once referred to this as "the central resonances of a peripheral injury." The affected limb may lose its place in the body image, while the rest of the body's representation then expands to fill the vacancy (p.257)

Ignacy Paderewski, the Polish pianist and composer, gives a very detailed account in his memoirs about a spider which could apparently distinguish thirds from sixths, and would come down from the ceiling to the piano whenever he played Chopin études in thirds, only to decamp ("sometimes, I used to think, quite angrily") when he switched to études in sixths (p.261)

[Hablando de un experimento en el que se le pedía a diferentes personas que agruparan una serie de notas largas y cortas]
They found that while Japanese speakers preferred to group the tones in a long-short parsing, the English speakers preferred a short-long parsing. Iversen et al. propose that "experience with the native language creates rhythmic templates which influence the processing of nonlinguistic sound patterns." (p.265)

[Hablando de música que le vino al autor a la mente, con percepción completa, y no se la podía quitar]
Orlan asked me to sing or hum some of the songs. I did so, and there was a long pause.
"Have you abandoned some of your young patients?" he asked. "Or destroyed some of you literary children?"
"Both," I answered. "Yesterday. I resigned from the children's unit at the hospital where I have been working, and I burned a book of essays I had just written... How did you guess?"
"Your mind is playing Mahler's Kindertotenlieder," he said, "his songs of mourning for the death of children". I was amazed by this, for I rather dislike Mahler's music and would normally find it quite difficult to remember in detail, let alone sing, any of his Kindertotenlieder. But here my dreaming mind, with infallible precision, had come up with an appropriate symbol of the previous day's events.(p.304-305)

Tuesday, October 19, 2010

[TILAM] Dream Theater - Another Day

TILAM: Things I love about music. La nueva categoría de posts del blog.


  • Cómo conecta la voz de LaBrie con la guitarra de Petrucci en 2:57.

  • El silencio detrás de la primera nota del solo.

  • El solo.

  • El sax a lo largo de la rola.



Here. Pensaba embeberlo en la pag, pero YouTube dice Embedding disabled by request. Sidenote: que gay se ve LaBrie =S.

Thursday, July 1, 2010

Sir James Jeans – Science & Music



Leído entre: Jun 5, 2010  – Jul 1, 2010 (26 días).

Lo que me gustó: la primera mitad, cuando habla de teoría musical, los procesos físicos detrás de los sonidos y la música, el análisis de los sonidos producidos por diferentes instrumentos. Un poco dentro de la segunda mitad, cuando habla de la relación entre el sonido y el cuarto donde se genera (reverberación, cómo la afectan los materiales y dimensiones, y las consecuencias de cambiarlos).

Lo que no me gustó: la segunda mitad, donde empieza a dar muchos números y tablas con poca utilidad para personas que no son ingenieros acústicos, donde habla de mediciones de sonido (que no es inherentemente aburrido, pero no me gustó cómo lo trata). Tampoco me gustó que le dio muy poco espacio al oído en sí, y a la transmisión del sonido al cerebro una vez que está en el oído (pero como el autor bien menciona, no es algo que se entienda muy detalladamente). Y el final... simplemente no se siente como final.

En general: recomendable para personas que disfrutan de la música y que gustan de entender los por qués de las cosas (aunque no culparía a nadie de dejarlo inconcluso después de la mitad). Recordar las clases de física de la prepa/carrera (ondas, vibraciones en cuerdas, ondas estacionarias en tubos, etc.) ayuda bastante a entender y apreciar los primeros capítulos.

Amazon lo tiene aquí.

Notas y citas:
Cases such as those just mentioned, in which there are only two or four beats to the second, do not usually produce an unpleasant sound. Indeed certain registers of the organ, such as the "voix celeste" and the "unda maris", produce the effect deliberately by the device of each note having two pipes, which are purposely put sufficiently out of tune with one another to give two or three beats a second. The voix celeste is usually constructed of string-toned pipes. Its fantastic name notwithstanding, it attempts to represent the slightly undulating sound heard when the strings of an orchestra play in unison; the undulations arise in part from the "beats" which must necessarily occur since the instruments can never be in perfect tune with one another, but in still greater part from a more subtle cause which we shall discover when we study violin tone in detail. The still more fantastically named unda maris usually consists of flute-toned pipes, and bears some resemblance to voices singing in attempted but imperfect unison. These undulations of sound endow organ tone with a certain quality of life and motion which is otherwise wanting. (p48-49)

Indeed it is a general rule that beats sound unpleasant when the number of beats per second is comparable with the frequency of the main tone. (p49)

-

Los nombres de los harmónicos de una nota (incluyendo 2 hacia abajo): Sub-octave, Quint, Fundamental, Octave, Twelfth, Fifteenth, Seventeenth, Nineteenth, Twenty-second

-
The timbre depends only on the relative energies of the various harmonics and not on their phase-differences. Differences of phase produce no effect on the ear. This is known as Ohm's law, having been discovered by G. S. Ohm (1787-1854), the discoverer of the still better known electrical law.

The second harmonic adds clearness and brilliance but nothing else, it being a general principle that the addition of the octave can introduce no difference of timbre or characteristic musical quality.

The third harmonic again adds a certain amount of brilliance because of its high pitch, but it also introduces a difference of timbre, thickening the tone, and adding to it a certain hollow, throaty or nasal quality, which we may recognise as one of the main ingredients of the clarinet tone [...].

The fourth harmonic, being two octaves above the fundamental, adds yet more brilliance, and perhaps even shrillness, but nothing more, for the reason already explained. The fifth harmonic, apart from adding yet more brilliance, adds a rich, somewhat horn-like quality to the tone, while the sixth adds a delicate shrillness of nasal quality.

As the table on p.73 shews, all these six harmonics form parts of the common chord of the fundamental note, and so are concordant with this note and with one another. The seventh harmonic, however, introduces an element of discord; if the fundamental note is c', its pitch is approximately b[flat]''', which forms a dissonance with c. The same is true of the ninth, eleventh, thirteenth, and all higher odd-numbered harmonics; thees add dissonance as well as shrillness to the fundamental tone, and so introduce a roughness or harshness into the composite sounde. The resultant quality of tone is often described as "metallic", since a piece of metal, when struck, emits a sound which is rich in discordant high tones. (p87)

-
We found that when a stretched string is plucked at its middle point, the second and fourth harmonics are absent from the sound produced, whereas if it is plucked at some other point, these harmonics are present.

The second and fourth are, however, the harmonics which above all others impart clearness and brilliance to the tone, so that the note given out by the plucked string will be deficient in these qualities. It will have a rather hollow, nasal quality, reminiscent perhaps of the tone of a clarinet or a stopped organ-pipe, since the tones of both of these consist mainly of odd-numbered harmonics. This seems to suggest that the quality of tone emitted by a string depends on the point at which we pluck or strike the string, and harmonic analysis (p.78) proves that this is so.

The middle point of a string is a node for all even-numbered harmonics and a loop for all odd-numbered harmonics, so that if we excite a string at its middle point, all the even-numbered harmonics, including the octave, super-octave and all higher octaves, will be missing from the sound produced (the result already obtained), while all the odd-numbered harmonics will be present in their maximum strength. In the same way we see that if we excite a string at a point a third way along its length, the third harmonic will be missing, but the second (octave) and fourth (super-octave) will be fairly strong, giving a clear brilliant tone. If we excite the string a quarter way along, the second harmonic will be heard in full strength but the fourth will be entirely missing, while the third and fifth will appear, but weakly. (p89)

-

Talking about violin playing and how the bow pulls the string, until it cannot hold it anymore and the string goes back to its position, overshoots, and is again trapped by the bow that keeps pulling in the original direction:
Each time that the bow loses its grips on the string, as well as each time that it resumes this grip, the vibration of the string undergoes a sudden change in phase. Thus, if two violins are playing in unison, the difference in phase of their two vibrations changes repeatedly, so that the sounds they emit may reinforce one another at one instant, but enfeeble one another at the next (p.39). Thees frequent alternations of loudness cause the "beating" or undulating effect which is characteristic of string playing in unison, even when they are perfectly in tune with one another. (p102)

-
Helmholts shewed that the strength of the various harmonics must always be in the ratio od 1:1/4:1/9:1/16:etc, whatever the point at which the string is bowed.

...

No matter where the string is bowed, the first, third, fifth and other odd-numbered harmonics occur in the same strength as in a string plucked at its middle point, but the second, fourth, sixth and other even-numbered harmonics, instead of being completely absent, are present in full strength, with the result that the bowed string has a fuller, more brilliant and richer tone than the plucked string. (p102-103)

-
The string may be bowed anywhere from a seventh to a fifteenth, but is usually bowed at a ninth or tenth, of its length from the bridge —more in piano passages, and less in forte passages. If it is bowed sul ponticello —i.e. close up to the bridge— the bow does not lie over any nodes except those of very high harmonics, so that moderately high harmonics are produced in full strength, and the note has a metallic sound. (p103-104)

-

Talking about the body of the violin:
Its free vibrations are of high pitch, and as many of them coincide in frequency with harmonics of the notes produced by the strings, these particular vibrations may be much reinforced by resonance. It is their presence that gives the instrument its peculiar tone or timbre. Such a group of frequencies is known as a "formant". (p104)

-
Backhaus has examined the frequencies of the body vibrations of a first-class Stradivarius, and finds that the majority are fairly evenly distributed between 3200 and 5200. In other violins the frequencies are usually lower and also less evenly distributed. (p104)

-
The fact that the speed of sound varies with the temperature entails important practical consequences. We have seen that the period of vibration of a column of air is proportional to the time sound takes to travel over the length of the column. If the air is warmed, sound travels faster and the period becomes less. It follows that the pitch of all wind instruments is raised when temperature rises, or when they are taken into a warmer atmosphere. This explains why the instruments of an orchestra must be tuned afresh each time the temperature changes. Before a concert the tuning is performed in the concert hall itself, so that the various instruments will be in tune with one another in the actual air in which they are to be played, and, for the same reason, the players of wind instruments breathe into their instruments before tuning them. (p120)

-
When the wind or a blast of air encounters a small obstacle, little whirlwinds are formed which are the exact counterparts of the whirlpools which are formed when a stream of water strikes a rock. There is a steady flow of air in front of the obstacle, and a steady train of whirlwinds behind it. These whirlwinds are formed on the two sides of the obstacle alternately; as soon as one comes into existence, it begins to drift away in the general current of air, thus making place for others which are formed in turn behind it.
...
When whirlwinds are formed by the wind streaming past an obstacle of any kind, the formation of each little whirlwind gives a slight shock, both to the obstacle and to the air in its neighborhood. If the wind blows in a continuous steady stream, these shocks are given to the air at perfectly regular intervals. We may then hear a musical note — it is what is often described as the "whistling of the wind", or the "wind whistle". Its pitch is of course determined by the frequency of the shocks to the air, and this is the number of whirlwinds formed per second. (p126)

-
Then Helmholtz (1862) developed a theory of consonance and dissonance in terms of beats — a theory which has been much discussed and criticised [sic], but still holds the field to-day. We have already seen that C and C# sound badly together because they make unpleasant beats. In the case of wider intervals, such as C and F# there are no beats to be heard, either pleasant or unpleasant, but Helmholtz asserted that C and F# sound badly together because certain of their harmonics (e.g. g' and f'#) make unpleasant beats. On the other hand C and G sound well together because few of their harmonics beat badly: [...] indeed many harmonics are common to both notes. (p157)

-
In time, however, the idea must have occurred to sing or play two or more notes at once — possibly because it was impossible for men and boys to sing together in the same pitch, or possibly because on-part music began to pall. [...] from now on it was important that two or more notes of the scale could be sounded together without undue dissonance. Even to-day, many of the races which have not advanced beyond homophonic music —as for instance the Arabs, Persians and Javanese— use scales whose notes are not at all consonant; the dissonance is harmless because two notes are never heard together. On the other hand, even primitive races whose music is polyphonic use scales in which most intervals are consonant. (p161)

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La secuencia de la que habla (F-C-G-D-A...) es la de "perfect fifths".
By stopping at different places in the sequence F-C-G-D-A-..., we obtain the various scales which have figured in the music of practically all those races which have advanced beyond the one-part music of primitive man.

The first three notes of the sequence C, F and G formed the main tones of the scale of ancient Greece. If we proceed as far as five notes C, D, F, G, A we have the pentatonic scale in which a considerable amount of Chinese and ancient Scottish music is written, as well as much of the music of primitive peoples in Southern Asia, East Africa and elsewhere; transpose it a semitone up, and we have the scale provided by the black keys of the piano — hence the fact, beloved of school-children, that many Scottish melodies, "Auld Lang Syne", etc., can be played without touching the white keys at all, and that almost any sequence of notes strummed on the black keys sounds like a Scottish melody. On taking the first seven notes, we have the ordinary diatonic scale, which seems to have been introduced into Greece in the middle of the sixth century B.C., was standardised [sic] by Pythagoras, and has remained the normal scale for western music ever since. (p164)

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Plato tells us, for instance, that the Lydian mode (our modern major mode!) was specially associated with sorrow; it and the closely associated Ionian mode, which only differed from it in b[flat] replacing b, were also the modes of softness, relaxation, self-indulgence, and even drunkenness. The Dorian and Phrygian modes on the other hand were —so he tell us— associated with courage, the military spirit, temperance and endurance. Because of this association, Plato would have permitted only the Dorian and Phrygian modes to be employed in his ideal republic, the Lydian and Ionian modes being prohibited. (p180)

-
When we compare two scales in major keys with one another, we find that, unless the tuning is that of equal temperament, the octave is still divided into its seven intervals by slightly different steps, and the question is whether this slight difference is perceptible to the trained musical ear, and if so, whether it has an appreciable influence on the emotional qualities of the music.

Many musicians, including Berlioz, Schuman and Beethoven, seem to have believed that both questions must be answered in the affirmative. We find Beethoven writing of B minor as a "schwarze tonart", describing Klopstock as "always maestoso — Db major", changing the key of a song in an effort to make it sound amoroso in place of barbaresco, and so forth.

Wednesday, May 5, 2010

Aprendiendo teoría musical, Vol. 1

Ok, ahora sí un intento para realmente aprender algo de teoría musical. Empecé con esto. Me puse a entenderlo, y experimentar con ese conocimiento. Parte de lo que deduje/aprendí está reflejado en este post.

La "posición básica" para una triada mayor con raíz en la 5ta cuerda es:

[caption id="attachment_584" align="aligncenter" width="437" caption="Posición básica para triada mayor con raíz en la 5ta cuerda"]Posición básica[/caption]

Esta posición puede irse recorriendo sobre las mismas 3 cuerdas para tocar todas las triadas mayores. Limitándonos al rango de los primeros 12 trastes, la única que no se puede tocar es "si" (de aquí en adelante, a la posición mostrada arriba le voy a decir "forma canónica" de una triada mayor):

[caption id="attachment_596" align="aligncenter" width="547" caption="Forma canónica de las triadas mayores (do -> la)"]Triadas mayores[/caption]

Esto se deduce recorriendo la raíz desde Do —en el 3er traste— hasta la nota que nos interesa como raíz, siguiendo la escala cromática (las 7 notas con sus respectivos sostenidos/bemoles, 12 notas en total). Así se pueden tocar incluso Do# mayor, Re# mayor, etc.

Ahora la idea es buscar todas las posibles formas de tocar la triada mayor de cada nota en los primeros 12 trastes de la guitarra, con la restricción de no usar inversiones; es decir, el orden de las notas, al tocarse "ascendentemente" (de la más grave a la más aguda) debe ser el mismo que el de la triada canónica (Do-Mi-Sol, en el caso de Do; nada de Do-Sol-Mi, o Sol-Mi-Do). Además, descartamos posiciones que requieran 2 notas en la misma cuerda. Esto nos lleva a:

[caption id="attachment_586" align="aligncenter" width="562" caption="Triadas canónicas de Do"]Triadas canónicas Do[/caption]

[caption id="attachment_587" align="aligncenter" width="562" caption="Triadas canónicas de Re"]Triadas canónicas de Re[/caption]

[caption id="attachment_588" align="aligncenter" width="562" caption="Triadas canónicas de Mi"]Triadas canónicas de Mi[/caption]

[caption id="attachment_589" align="aligncenter" width="562" caption="Triadas canónicas de Fa"]Triadas canónicas de Fa[/caption]

[caption id="attachment_590" align="aligncenter" width="562" caption="Triadas canónicas de Sol"]Triadas canónicas de Sol[/caption]

[caption id="attachment_591" align="aligncenter" width="562" caption="Triadas canónicas de La"]Triadas canónicas de La[/caption]

[caption id="attachment_592" align="aligncenter" width="562" caption="Triadas canónicas de Si"]Triadas canónicas de Si[/caption]

Está bastante claro que todo simplemente se está recorriendo, y cuando se "sale" del rango de trastes 1-12, luego reaparece del otro lado.

Partiendo de estas formas canónicas posibles, con un poco de imaginación se puede ver que de aquí salen las formas populares de casi todos los acordes mayores (o al revés, que casi todas las formas populares de los acordes mayores tienen embebida la forma canónica de la triada mayor correspondiente):




[caption id="attachment_586" align="aligncenter" width="562" caption="Triadas canónicas de Do"]Triadas canónicas Do[/caption]

[caption id="attachment_618" align="aligncenter" width="562" caption="Triadas mayores convertidas a formas populares de acordes mayores"]Conversión triadas a acordes[/caption]

Las formas populares de Fa y de Si son corrimientos de las de Mi y La, respectivamente. Entonces ya están cubiertos Do, Mi, Fa, Sol, La, Si. El que falta, Re, lo veré en otro post.

Monday, March 8, 2010

Learning about my limitations

Hoy leí el post Hearing the Uncertainty Principle, que aparte de estar interesante me dio la excusa... ejem... explicación, perfecta, de por qué me es mucho más difícil sacar de oído melodías rápidas que melodías lentas. Y dejando al ego de lado, por qué es más difícil sacar de oído melodías rápidas que melodías lentas. It seems obvious enough, pero tener un por qué siempre es bueno. Entre más larga sea una onda en el tiempo, más angosta su representación en frecuencia, y entonces se parece más a una nota pura. Notas muy cortas en el tiempo implican un espectro de frecuencias mucho más amplio, que hace bastante más complicado determinar cuál es la frecuencia (nota) principal del sonido.

Ta-ran!