| LIVE ROOM - DEAD ROOM - DRY ROOMWhich is the best room to listen to music?
 First 
        Part
Jorge 
        KnirschIntroduction 
        The concept 
        holds, now deeply rooted and consolidated in the market of audio and 
        video and also among us, lovers of music and image, and among acoustic 
        engineers too, that "a good room for reproducing music and shows has to 
        be necessarily live, or if it’s not for this purpose, at least it must 
        be a semi-live room". There are controversies about the issue of how 
        live a room must be, but all agree that it must be live or semi-live. 
        And putting such premise to work, we observe an interaction between the 
        specific room under consideration and that which is being reproduced. In 
        other words, by setting up our audio system in a live room, we create a 
        new audible and particular solution, which shows itself to be superior 
        to the sound results coming from one system alone.If you pay close attention 
        nowadays, the great majority of environments tend to be live, and public 
        places mainly are like this, such as airports, bus stations and many 
        others, in spite of very few exceptions, such as some movie and play 
        theaters. And we’re not aware there is a large influence from such 
        environments in our well-being, a much neglected aspect among us.
 In this article we intend 
        first of all to study sound waves in a broad way, presenting some 
        physical concepts which normally aren’t mentioned but are very important 
        to acoustics. Then, we’re going to study and define one of the most 
        important parameters in acoustics, Reverberation Time (RT), showing its 
        influence on listening, in order to suit it to the several existing 
        rooms. We’ll define the various room types in this occasion, the live 
        ones, the dead ones (also called deaf rooms by recording staffs), and 
        dry rooms, so as to decide then which of them is the best option to us. 
        We’ll also examine what comes to be listening comfort, how to attain it, 
        and what its consequences are for our emotional.
 
        
        © 2004-2008 Jorge Bruno Fritz KnirschTodos os direitos reservados
 http://www.byknirsch.com.br
 
        
        Sound 
        Waves 
          From the start, I did not 
        think I would be writing a whole article on sound waves, but there 
        wasn’t time enough. Happenings have stepped over actions, in a way that 
        now I intend to be quite brief regarding this subject, in spite of the 
        fact that the subject is of vital concern, and enter reverb time 
        analysis right away. I do this so that you can follow me through 
        regarding the presentation of physical phenomena and of the technical 
        aspects we are going to deal with next.There are various types of 
        waves in physics. Mechanical waves among them are produced by 
        disturbances, that is, particles vibrating in a come-and-go, in a given 
        medium. Through such vibrations mechanical waves are transmitted. 
        Mechanical waves can be felt and seen. For example, we see them in 
        springs, in the strings of an acoustic guitar, in water. They do not 
        exist in a vacuum, for there are no particles there. They are 
        progressive, that is, they move away from the source (point of their 
        emission), carrying energy without transferring matter. They have 
        several characteristics, such as frequency, wavelength, speed, amplitude 
        and phase. We’re going to see some of these characteristics ahead, in 
        more detail. They may also undergo some important physical processes 
        such as reflection, refraction, diffraction, interference or 
        superimposition, and polarization. Some of these physical processes 
        we’re going to study now.
 There are two kinds of 
        mechanical waves: transversal and longitudinal waves. In transversal 
        mechanical waves, the disturbances, that is, come-and-go vibrations, 
        take place orthogonally with respect to energy transfer. In other words, 
        vibrations are orthogonal to their transmission or propagation 
        movements. For example, we see this in waves that propagate in strings 
        tied by one end. The waves we see in the water surface are another 
        example.
 In longitudinal mechanic 
        waves, the disturbances, that is, particles’ come-and-go vibrations, 
        take place in the direction of movement. One example of such wave type 
        is found in springs, where waves propagate longitudinally, in the 
        direction of energy transmission. Sound waves are also longitudinal 
        mechanic waves. They can be generated in a loudspeaker or in any musical 
        instrument for example.
 A sound wave represents a 
        mechanical wave front, with air pressure
  variation, 
        though it propagates in all directions after its emission. Contrary to 
        what I saw written in many Websites, sound waves are longitudinal, but 
        their propagation is spherical. This is the first very important 
        physical concept: sound waves are longitudinal mechanical waves with 
        spherical propagation, diffusing themselves in all directions after 
        their point of emission. This aspect, not very much known and also 
        little mentioned, is represented in the sideway figure, in just one 
        plane, but try to visualize it now in spherical form - imagine a 
        loudspeaker placed in space, surrounded by air all round it, and having 
        no reflective surface near it. Imagine also a listener being positioned 
        some feet in front of such speaker, and another person some feet behind 
        it, both people on an imaginary line drawn orthogonal to the 
        loudspeaker. Let us now suppose that the speaker starts to emit a sound 
        wave of, say, 20Hz, which is spherical, at a volume suitable for our 
        ears. Which of the two persons do you think is going to listen to it? 
        Just the one in front, or both? Think a little, the question is really 
        interesting, for it makes us become conscious of something which we 
        intuitively know already! Of course nobody will doubt the person in 
        front of the loudspeaker will listen to the 20Hz sound, but most 
        important to us is that the person behind it will listen to it the same 
        sound wave, at less intensity, it’s true, but he or she will listen to 
        it nonetheless! Such physical process is called diffraction. Another physical concept which is very important, 
        and, for sure, something new for many of us is: A sound wave of low 
        frequency (bass) has the physical capability to rebuild itself, in other 
        words, it diffracts, and the wave is rebuilt behind the objects and 
        surfaces that cross its way. But, as the sonorous frequency increase, 
        this phenomenon decreases. As stated, this 
        second concept is specially true for low frequency waves and it becomes 
        a great challenge in the treatment of acoustic rooms and studios. 
        Therefore, it is not any surface put in the acoustic room that will 
        solve the problem of the bass.
 The magnitude of these two concepts is huge and of 
        great relevance in the treatment of acoustic rooms. In order to explain 
        this a little bit better, lets analyze the basic formula of a sound 
        wave:
 
          
        In order to explain it, 
        sound speed is constant in media, it’s the wavelength multiplied by 
        frequency. Sound speed varies with room temperature. Let us adopt 344m/s 
        for temperature values around 20 degrees centigrade. Regardless of 
        frequency, sound propagates in the air at the same speed, changing 
        wavelength according to frequency.In order to explain these 
        terms more effectively, let us see the figure below. Every sound wave 
        can be represented by a sinusoidal wave, being of course emitted in all 
        directions from the point of emission, something that is not shown here. 
        Sinusoidal waves have both an upper and a lower part. We can consider 
        the upper part as being the area of high air pressure in the room, and 
        the lower part as being the low pressure one. On the upper wave crest we 
        have maximum pressure, and on the lower wave crest we have air 
        rarefaction (low pressure). In the horizontal axis we have the room’s 
        pressure under standby conditions, which stays around the pressure of 
        one atmosphere. Let us comment a little on the physical aspects of these 
        statements, in a practical way. Let us take our 20Hz wave for example, 
        which generally is the lowest frequency we can listen to and feel, and 
        let us study it more closely.
   
        
         Fig. – 
        Upper-wave wavelengths are three times greater than those of lower 
        waves, but their frequency is just one third of lower waves’ 
        frequencies. Both have the same amplitude.
 
        The wavelength of a 20Hz 
        wave is 17.2m. Pay attention, I’m going to repeat it – the wavelength of 
        a 20Hz wave is something around seventeen meters. It’s
         something 
        quite large! I wish to comment that the distance between one 
        high-pressure crest and the next is 17m. It’s an enormous distance! And 
        the distance between a high-pressure and a low-pressure crest is half of 
        this, that is, 8.5m. Many people ask me if they’re going to hear a 20Hz 
        wave in a room whose dimensions (height, width and length) are less than 
        such a wavelength. The answer is undoubtedly yes. We’re going to listen 
        to 20Hz in a small room. The loudspeaker, when it produces such wave, 
        does not know about room size, it just emits it. Now, when this wave 
        meets the walls, it keeps on forming itself, going back from the wall 
        toward the direction of the source, coming and going and reflecting 
        itself in all directions, since the room is smaller than this 
        wavelength. And the meeting between the waves that go and come back also 
        starts to happen, creating sums and subtractions through the generation 
        of interferences; the meeting of two crests creates doubled pressure, 
        the meeting between a crest and a dip creates a region of normal 
        pressure, and the meeting between two dips creates a region of 
        twofold-lowered pressure, and all the others exist between these three 
        gradations. As you’re now beginning to realize, bass notes are a 
        really serious problem in small rooms, let’s say below 100 cubic meters! 
        The subject becomes more complex still if this wave is part of the 
        room’s resonance, but this is a problem we’re going to study in the 
        chapter dealing with standing waves, when we get there. Now let’s imagine a 200Hz 
        wave. Such a wave has a wavelength of 1.72m, that is, it has a 
        wavelength ten times smaller than the 20Hz wave. You’ll agree with me 
        here that the difference is very large. If we now take a 2000Hz sound 
        wave its wavelength will be 17.2cm only. The reduction, with respect to 
        the 20Hz sound wave's wavelength of 17.2, is one hundredfold. It’s an 
        enormous reduction! There’s no doubt the way to carry out acoustic 
        treatments for the several wavelengths and magnitudes so different must 
        be quite differentiated.
 As we had said, sound 
        waves are spherical in low frequencies, but gain directivity as 
        frequency rises. This is the third, very important physical concept – 
        the 360-degree spherical angle tends to diminish to narrower and 
        narrower conical angles as frequency rises, going from obtuse to more 
        acute angles, and becoming a directional angle in high frequencies above 
        the human listening range. Then, at 20,000Hz, our hearing limit, 
        waves begin to be directional, but contrary to what people say, they 
        still propagate in acute-angle sound cone form. This is very important, 
        for above medium frequencies and well above, in the highs, we can very 
        well deal with sound waves according to the laws of optics, regarding 
        reflection, diffusion, refraction and diffraction, what makes the 
        approach simpler. This is not totally correct, but allows us a good 
        approximation to the real physical phenomenon.
 Just to recall what bass, 
        mids and highs are, we show the graph below:
 
        Bass, mids and highs in 
        the perception of music.
         
        Bass sounds start in 20Hz 
        and go up to about 160Hz, where mids start, going up to about 1300Hz, 
        and there start the highs. Such values are flexible. Many adopt the 
        limit frequency between bass and mid sounds as being 200Hz, and between 
        mids and highs as being 2000Hz. 
         Summary 
          
        In this second article on 
        acoustics, we assess some little known aspects of sound waves, but of 
        great relevance however for the technical solution of acoustical 
        treatments, mainly in small rooms (smaller than 100 cu. meters) destined 
        to either normal or critical auditioning. As a complement to what 
        several websites and educational books say, sound waves are 
        longitudinal, but their diffusion (propagation) is spherical, with 
        steady increase in diameter and reduction of intensity (by the distance 
        squared) after emission. We repeat below the three basic concepts of 
        sound waves, so that these are not forgotten, for we’re going to use 
        them countless times later on.   
        -Sound waves are 
        longitudinal mechanical waves, which propagate spherically, diffusing 
        themselves in all directions from their point of emission. 
        -Low frequency sound waves 
        have the physical ability to reshape themselves, that is, to diffract, 
        getting reconstituted after objects or barriers. And as frequency rises, 
        this phenomenon gets lessened. 
        -As sound frequencies 
        increase, the spherical angle of its propagation in 360 degrees 
        diminishes to an ever increasing conical angle, going from an obtuse 
        angle to a more acute angle, becoming a directional wave in high 
        frequencies, well above human hearing.   
        These three basic concepts 
        about sound waves are fundamental to explain later on why some 
        techniques work and some others don’t. Let’s put down some myths which 
        exist regarding acoustic treatments, and show a safer and more correct 
        way to do it, bringing more information to our field.   
        I wish that properly 
        balanced room to all, so that you can listen what was recorded really!!! 
        Excellent auditioning and warm regards!!!!! 
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