Tag Archives: music

Some thoughts on hearing

More ear problems

This week it turned out that although I may have had catarrh, my ear is definitely blocked on the outside too. So I’m going to make an appointment as soon as possible to have it syringed.

The blockage got worse early last week, so on Thursday I found myself at a rehearsal with a left ear which was significantly more deaf than it had been for the concert which I recently described. I’m writing about it because although it was extremely unhelpful for playing, I found the reasons for its being unhelpful quite interesting. They’re suggestive about the way hearing works in an orchestra.

The difficulty

Of course, as at that concert, it was hard to judge my playing volume. That’s not at all surprising. But also, it was much more difficult to play in tune, which led to some thoughts about how I normally do this.

Obviously if you can’t hear another instrument you can’t play yours in tune with it. But that wasn’t the difficulty; I could hear the other instruments, but couldn’t easily make the fine adjustments needed to home in on the required pitch to blend with them. I’m not sure whether the problem was that I was hearing my violin from a distance, out of the “wrong” ear, or whether it goes further and the lack of binaural hearing was the obstacle.

I don’t believe that merely hearing how far your pitch goes up or down will guarantee that you’re in tune with other instruments. For one thing, for mathematical reasons, the required pitch of a note can vary according to context, and there’s a continual conflict between the pitches which provide smooth melodies and those which provide clean harmony. (The theoretical difference can be quite large: a fifth of a semitone or even more.)

How do you tune your instrument at the start of the rehearsal? Ideally, like this: the oboe plays an A; you play an A on your instrument, quietly enough to hear the oboe you’re tuning to, and you adjust the pitch until the sound of your instrument blends in with that of the oboe.

Hearing, blending and intonation

If two notes which are nearly but not quite in tune with each other are played together, one hears beats: pulsations in the volume of the sound. This is because the sound waves from the two instruments get in and out of synch with each other. When they’re in synch, the sound is louder; when they’re out of synch, they cancel out and the sound is quieter. The more nearly in tune the two are, the slower the beats; when they’re completely in tune, the beats disappear.

What I mean by “blending with the oboe” is that you can’t hear any beats between your instrument and the oboe. Furthermore, at least with a violin, if you play it very quietly, you can no longer tell which is you and which is the oboe; your sound disappears into that of the oboe.

On tuning at the start of the rehearsal, it was clear that I couldn’t judge this blending very easily. I had, however, tuned carefully to an electronic tuner which indicates the pitch visually. Why couldn’t I hear it? Partly, I think, because I could hear everyone else tuning just as loudly as myself; but maybe also because of another phenomenon I’ve noticed, also to do with beats.

It’s well known in acoustics that if two pure notes are played simultaneously, a third one can be heard along with the other two. For example, an A at 440 Hz played with an E at 660 Hz will produce an A an octave down, at 220 Hz. Its frequency is the difference between the two being played, and it’s the result of the beats I was talking about earlier. They simply happen fast enough to become a musical note themselves.

When playing two notes at once (unaccompanied) on a violin, I can normally hear these “difference notes” surprisingly loudly. Some people have trouble hearing them at all; I think that’s probably because they’re listening in the wrong place. I realised this several years ago. The third note doesn’t sound as though it’s coming from the violin. It sounds as though it’s coming from just inside the ear. Which is, in fact, where it’s generated. And I experience a feeling of actual vibration in the ear. That’s where you have to listen for it.

How do you tell whether your tuning is blending with the other instruments around you? Again, it seems to me, by hearing beats, though you might not be conscious that that’s what you’re doing. The feeling of shrill dissonance when a note is horribly out of tune is actually the feeling of hearing beats at a particularly unpleasant speed.

I think what was missing, with my blocked ear, was the sense of sounds interacting in my ear. Instead of feeling pressure vibrations, I simply have a sensation of slight pressure from the blockage.

So my scientifically untested hypothesis is that playing in tune in an orchestra depends not just on hearing pitches from a distance, but also on the physical sensations occurring in the ear as the different sounds arrive and interact.

And I might not have realised that without a blocked ear! But now I’ve realised, I’m looking forward to having normal hearing again.

The impossibility of silence

In Noise, distraction and caffeine? I mentioned the avant-garde composer John Cage’s assertion that silence is unattainable. The following quote comes from an article of his about “experimental music”.

In this new music nothing takes place but sounds: those that are notated and those that are not. Those that are not notated appear in the written music as silences, opening the doors of the music to the sounds that hapen to be in the environment . . . There is no such thing as an empty space or an empty time. There is always something to see, something to hear. In fact, try as we may to make a silence, we cannot. For certain engineering purposes, it is desirable to have as silent a situation as possible. Such a room is called an anechoic chamber, its six walls made of a special material, a room without echoes. I entered one at Harvard University several years ago and heard two sounds, one high and one low. when I described them to the engineer in charge, he informed me that the high one was my nervous system in operation, the low one my blood in circulation. Until I die there will be sounds. And they will continue following my death. One need not fear about the future of music.

John Cage, “Experimental Music” in Silence, Marion Boyars, 1978, pp. 7-8 (originally delivered as part of a lecture in 1937)

Tangentially, just in case you’re bothered about the last sentence, here’s another quote from later in the book:

If one feels protective about the word “music”, protect it and find another word for all the rest that enters through the ears. It’s a waste of time to trouble oneself with words, noises. What it is is theatre and we are in it and like it, making it.

John Cage, “45′ for a Speaker” in Silence, p. 190

Some time I’ll try to write a review of the whole book. For now, enjoy those two quotes. John Cage was interested in Zen Buddhism, and I think that for him so-called silence served the same kind of purpose as it does in contemplative prayer traditions: silence is a space in which you give attention. Right now, I’d like more silence in this library, in which to give attention to what I’m writing . . . And I’m not sure how he would have defined music, but I suspect that “sound to which one gives attention for its own sake” might have covered it. And he introduced impossible “silence” into his music for the purpose of focusing on the sound that is always around us.

An excellent find

Yesterday I exchanged a few messages on Twitter about the relationship between music and language (a relationship which I also mentioned recently in my post speculating about background noise).

What should I see in the library today, while waiting for a computer to be free, but a book by Steven Mithen called The Singing Neanderthals: the origins of music, language, mind and body (Weidenfeld & Nicolson, 2005)!

It’s substantial. And looks very interesting. I’ve taken it out of the library.

A review may follow . . .

Another new experience

Last week I wrote about the experience of leading an orchestra while under the influence of a cold and its medication.

Another concert

Yesterday I was again leading a concert, with a different orchestra. It’s a smaller, less ambitious one; most of the music this time was (somewhat) less demanding. We played one of Elgar’s Wand of Youth Suites, Schumann’s Cello Concerto, On Hearing the First Cuckoo in Spring by Delius, and Haydn’s “Clock” Symphony. The symphony acquired its nickname from some mechanical accompaniment patterns in the slow movement, which are (somewhat) reminiscent of the ticking of a clock.

However, the conductor had decided that one passage in the “clock” movement should be played, not by the entire section of first violins, but just by me. The music was straightforward, I felt I could make it sound nice, and it seemed to work OK musically. As far as I know it’s not a standard way of performing it, but I was reasonably happy with the idea.

The same cold

Colds take time to go away, especially if you go off and play concerts when you ought to be at home recovering. So I wasn’t yet rid of my mine. But that was fine: I’d found out a week ago how to cope with it, and I was feeling significantly better.

A different problem

Well, fine except for the fact that it had created a new, unwanted challenge. During the week, my left ear had become blocked with catarrh. So I could only half-hear out of it.

This makes a huge difference when you’re playing. The violin is right next to your left ear, and can be very loud. You become used to how loud it should be to blend correctly with the other instruments. With a blocked left ear, the violin sounds as if you’re hearing it from a distance and it’s very hard to know how loud it is. In an orchestra, it can even be hard to tell whether you’re hearing yourself or someone else.

So as the concert approached I was quite nervous about that aspect. As well as the volume, I had very little idea what kind of tone I was producing. All I could really go on was other people’s opinion when asked, plus the physical sensations of using particular bow speed and pressure. I was worried that the solo, accompanied by two wind instruments, would be either far too quiet or far too loud.

In the end I played with the bowing that felt right, and asked people in the rehearsal about the volume. They thought it was OK, so I went with that for the concert. Usually–with a normally-functioning ear–the task is to feel as though you’re playing considerably louder than the other instruments, and correctly judge the amount. Instead, I tried to make the distant sound of my own playing roughly equal to the sound of the other two. I’m not sure whether this worked, but I think it might have done. I got some nice comments, anyway.

It was also hard to hear whether I was putting the necessary dynamic phrasing into the solo. I simply used more or less bow as appropriate, tried to keep the right feel of the bow on the strings, and hoped it was working.

In the past, practising at home, I’ve found a blocked ear provides an unplanned opportunity to hear the violin “from further away”, and the situation can be used for that. Maybe there’s even a practise technique here, involving an earplug. But it’s not an experiment I ever wanted to do during a concert! Thankfully it’s a while now until my next one, so hopefully it’s not an experience I’ll have to repeat.

And the rest is . . .

Are rests restful?

Not necessarily!

I mean the rests musicians talk about: those points in a piece where not only don’t you play anything, but you’re not meant to either.

Two orchestral trombonists talking on the radio some years ago put it well. Trombone players generally have a lot of rests in an orchestral piece. One said “If you’re sitting there counting 76 bars’ rest, it’s not very exciting”, to which the other responded “Actually it’s a lot more exciting if you don’t count them!”

Absolutely. What could be more exciting than having no idea where you are in the music, and frantically trying to find your place in time for your loud, prominent entry which might demolish the performance if you get it wrong?

If you’re not a musician, or if you’re some kind of musical genius, you might wonder what the problem is. Surely it’s just a matter of counting numbers, then when you get up to the appropriate one, you start playing?

In theory, yes. But in practice, there are a few pitfalls, and it pays to be aware of them. The ones here are, of course, the ones I’ve experienced; I’d be interested to hear of any others, and even more interested to hear of techniques people use to counter them.

Counting from the wrong place

The first risk happens right at the start of the rest. Sometimes the last bar before a number of bars’ rest contains just one note, which is on the first beat of the bar. This is then followed by, say, 16 bars’ rest. I find it very easy to accidentally count the nearly empty bar as the first of the rest bars, then risk playing a bar too early. It’s also easy to get confused part way through the rest as to whether I made that mistake or not, and be unsure whether I need to add an extra bar at the end.

Counting the wrong rest

This can happen surprisingly easily. Long rests are typically broken up into sections, for example 3+16+11+5 bars, corresponding to natural sections of the music. This is helpful for various reasons, but when you’ve been counting for a while it’s easy to forget whether you’re on, say, the 16-bar rest or the 11-bar rest. It also happens when there are two similar-length rests on different lines of music. If there are two 10-bar rests three lines apart and you look away from the music, then when you look back it’s quite easy to settle on the wrong one–and get a nasty surprise when you start playing again and the notes don’t fit.

Counting in the wrong time signature

Non-musicians might be surprised to hear that the number of beats indicated in the time signature of a piece (or section of a piece) doesn’t actually tell you how many the conductor will do to a bar, or how many you count to a bar. A time signature of 4/4 theoretically means there are four beats to a bar, each a crotchet (“quarter note”) long. In fact it can mean anything from one to eight beats per bar from the conductor, depending on how fast or slow the music is. “Is it in four or in two?” The answer should be clear from looking at the conductor, since different patterns of movements are used, but you know what conductors are like . . .

So it’s essential to know before you get to the rest, so you don’t find yourself counting half or double the correct number of bars. Or worse, having to do mental arithmetic at the same time as counting, when you realise part way through that you got it wrong. (That is in fact possible, but it is not stress-free.)

And there’s the situation, of course, where the time signature changes just as your rest starts, and you miss it. This is worst at the bottom of a page: once you’ve turned the page, you can’t even see that you missed the change.

So it’s not enough to know how many bars to count: you’ve got to know what sort of bars to count, too.

Forgetting to stop counting

This one happens in long rests which are divided up. You’ve got 7+16+18 bars’ rest, and you’re happily and automatically counting the bars. Then you realise that you’ve got up to 25, and none of the sections is that long. Oh dear. Do you subtract 16, or 23 (i.e. 7+16), or give up and keep counting all the way up to whatever the total is? And while you’re thinking about this, you’ve counted another couple of bars so the arithmetic’s different . . .

Losing the beat

Certain rests can be particularly stressful to count because the music that’s being played by other instruments is misleading to the ear. There are a couple of instances of this in the slow movement of Symphonie Fantastique, which I played in a few days ago. The oboe and cor anglais have long, lyrical solos and a duet. But their rhythm is displaced in a way that sounds as though the barlines can’t possibly be where they actually are. If you try to count the rest by listening, rather than by watching the conductor, you’ll be hopelessly wrong. Those two sections are mainly unaccompanied too, so there’s nothing else to listen to in order to keep your place. The only solution is to simply watch, count the conductor’s downbeats, and possibly even ignore the beautiful solo which you can hear: if it’s making you lose your place, then you need to shut it out.

During rehearsals, at least of the amateur orchestras which I know, a similar hazard occurs if the instruments still playing are hesitant or the ensemble starts to deteriorate. It can be quite terrifying counting a rest when you can hear several different versions of where the beats are . . .

Oh and let’s not forget foot-tapping. In my experience, someone in an orchestra who taps their foot “to keep time” invariably taps it out of time with the conductor. Probably because if they were watching the conductor they’d be in time already, and not need to tap their foot. When you’re counting a rest, a tapping foot is a rival beat and a dangerous distraction.

And as for people who count their rests out loud . . . ! The problem here is that often, not everyone’s rest starts in the same place, so they’re most likely counting different numbers from the ones you are. But that belongs to the next problem:

Losing count

Maybe losing count is the most obvious one, but I’ve left it until last.

If you’re a musician, how were you taught to count rests? How, for example, would you count six bars of four beats each?

Everyone I know counts like this:

ONE, 2, 3, 4, TWO, 2, 3, 4, THREE, 2, 3, 4, FOUR, 2, 3, 4, FIVE, 2, 3, 4, SIX, 2, 3, 4.

Or without the emphasis:

1 2 3 4 2 2 3 4 3 2 3 4 4 2 3 4 5 2 3 4 6 2 3 4.

See what you’re doing? You’re counting two sequences of numbers at once: the bars and the beats. And if you lose concentration and let your mind mechanically count numbers without adequate supervision, there’s a danger point at the beginning of bar 5, which I’ve highlighted: it’s easy to miscount

FOUR, 2, 3, 4, FIVE, 6, 7, 8, NINE, 2, 3, 4 . . .

Also, in a slow tempo, it’s possible to be distracted by the “2, 3, 4” within the bar from remembering which number bar you’ve reached.

So I’ve recently started experimenting with avoiding beat numbers altogether when counting rests, in the same sort of way we traditionally divide beats:

Two beats to a bar:

ONE & TWO & THREE & FOUR &

Three beats to a bar:

ONE & a TWO & a THREE & a FOUR & a

Four beats to a bar:

ONE … & a TWO … & a THREE … & a FOUR … & a

This means that instead of a seqence of numbers in my head like “1 2 3 2 2 3 3 2 3 4 2 3”, I have one like “1, 2, 3, 4”. I’m finding that this feels considerably more relaxed and is also much less error-prone. It feels like clearing a lot of confusing clutter out of the way. The beats of the bar are now a rhythm rather than a rival sequence of numbers.

The only problem is that I’ve still not quite decided how to count bars with six or more beats, especially slow ones. I’m still experimenting with that.

I also–hopefully reasonably discreetly–count the bars on my fingers, which acts as a useful check especially when counting a large number of long bars.

Suggestions

When you’re playing in a concert, I think you have to do everything you can which will make your life easier. Any little technique which will help should be used. My suggestions for less stressful rest-counting are:

  • When a rest is coming up, consciously focus on the bar before the rest, making sure that you don’t count it, and on counting “ONE” in the right place, so you both get it right and know that you got it right.
  • If you’ve got a long rest divided into sections, try to write something in the part to tell you what’s being played, so you have a way to check which rest you’re on if necessary.
  • If you’ve got two similar-looking long rests, then when you start counting, make a conscious mental note of which one you’re on, in case your eyes stray from it.
  • When a rest is coming up, remind yourself a few bars beforehand how many beats there are to a bar–even if you think it’s obvious.
  • While counting, don’t let it become so automatic that you forget how many bars to count! Keep the stopping point in mind.
  • If what you hear is confusing, don’t listen to it. Count the conductor’s downbeats.
  • Don’t tap your foot, or count out loud, if you want to keep your friends. If you do find yourself foot-tapping, stop immediately and watch the conductor instead.
  • Try to find the way of counting wihich involves least “mental clutter”, so you can simply count the bars.