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#1
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I just got the book Sound System Engineering by Don Davis and Carolyn
Davis and it has 2 short sections on sound decades. Defined as: HF/LF=10**1=1 decade HF is highest freq and LF is lowest freq or HF/LF=10**x decades or (Ln HF - Ln LF)/Ln 10 = x decades An example for a span of 30 to 15,000 Hz x decades = (Ln 15,000 - Ln 30)/Ln 10 = 2.7 decades Ok, I think I understand the math but what is a practical application of a sound decade? I couldn't find anything in Wikipedia or Goog.. tnx -- 73 Hank WD5JFR |
#2
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Henry Kolesnik wrote:
I just got the book Sound System Engineering by Don Davis and Carolyn Davis and it has 2 short sections on sound decades. Defined as: HF/LF=10**1=1 decade HF is highest freq and LF is lowest freq or HF/LF=10**x decades or (Ln HF - Ln LF)/Ln 10 = x decades An example for a span of 30 to 15,000 Hz x decades = (Ln 15,000 - Ln 30)/Ln 10 = 2.7 decades Ok, I think I understand the math but what is a practical application of a sound decade? It's just a convenient way of thinking about pitch changes. Sometimes it can make the math easier to think about decades instead of octaves, especially if you are plotting responses on conventional log-log paper where there is a cycle every tenfold increase. --scott -- "C'est un Nagra. C'est suisse, et tres, tres precis." |
#3
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I understand the octave which relates to the doubling of pitch, cent
which is 1/1200 of an octave. Cents are used in tuning and the good ears can tell a diference of about 3 cents. My imagination seems limited in understanding what's so great about plotting on log-log paper. And why is the knowledge of sound decades so limited? From 30 to 15,000 Hz there's 2.7 decades, 8.97 octaves and too many cents. The book points out that all visible light is one octave making the audible spectrum much more complicated if you look at it from that standpoint. In a multiband shortwave radio each band is approximately an octave because that's all a LC circuit can span. -- 73 Hank WD5JFR "Scott Dorsey" wrote in message ... Henry Kolesnik wrote: I just got the book Sound System Engineering by Don Davis and Carolyn Davis and it has 2 short sections on sound decades. Defined as: HF/LF=10**1=1 decade HF is highest freq and LF is lowest freq or HF/LF=10**x decades or (Ln HF - Ln LF)/Ln 10 = x decades An example for a span of 30 to 15,000 Hz x decades = (Ln 15,000 - Ln 30)/Ln 10 = 2.7 decades Ok, I think I understand the math but what is a practical application of a sound decade? It's just a convenient way of thinking about pitch changes. Sometimes it can make the math easier to think about decades instead of octaves, especially if you are plotting responses on conventional log-log paper where there is a cycle every tenfold increase. --scott -- "C'est un Nagra. C'est suisse, et tres, tres precis." |
#4
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Henry Kolesnik wrote:
what's so great about plotting on log-log paper. It correlates well to perception, as does writing the comment after what is commented on. Usenet is very different from corporate email, as is sound from RF. Hank WD5JFR Regards Peter Larsen |
#5
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Henry Kolesnik wrote:
I understand the octave which relates to the doubling of pitch, cent which is 1/1200 of an octave. Cents are used in tuning and the good ears can tell a diference of about 3 cents. My imagination seems limited in understanding what's so great about plotting on log-log paper. Usually it's because log-log paper is what there is, and it's what people have always used for plotting responses. Look at a product data sheet and that's how you'll see it plotted. And why is the knowledge of sound decades so limited? From 30 to 15,000 Hz there's 2.7 decades, 8.97 octaves and too many cents. The book points out that all visible light is one octave making the audible spectrum much more complicated if you look at it from that standpoint. Mostly it's because one of those things that engineers came up with because it makes the arithmetic easier to do, and today with pocket calculators people don't really care so much about making everything fall into nice easy numbers any more. --scott -- "C'est un Nagra. C'est suisse, et tres, tres precis." |
#6
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On Sat, 24 Feb 2007 16:37:46 GMT, "Henry Kolesnik"
wrote: I understand the octave which relates to the doubling of pitch, cent which is 1/1200 of an octave. Cents are used in tuning and the good ears can tell a diference of about 3 cents. My imagination seems limited in understanding what's so great about plotting on log-log paper. And why is the knowledge of sound decades so limited? From 30 to 15,000 Hz there's 2.7 decades, 8.97 octaves and too many cents. The book points out that all visible light is one octave making the audible spectrum much more complicated if you look at it from that standpoint. In a multiband shortwave radio each band is approximately an octave because that's all a LC circuit can span. The octave is a musical convenience - we all recognise it and it is the natural interval on which all scales are based. Being power based rather than linear, it is a logarithmic scale. So much is easy enough. The decade is an artifact, based on the fact that we are a ten-based species. It has no greater significance than that it fits nicely with our mathematical norms. It is something we have come to accept as the natural order, even though it is no such thing. So why use log/log paper? The frequency axis is log because that is how music and out appreciation of pitch works. The vertical scale is log (dB0 because that is how our appreciation of loudness works - roughly. You could use a linear vertical scale, but then if you encompassed the loudest sounds, the small detail would be invisible. So a log decibel scale makes sense. Why decade paper? Because we have ten fingers. d -- Pearce Consulting http://www.pearce.uk.com |
#7
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Hey guys, I'm a graduate engineer and have done probably hundreds of
plots on all kinds of log papers. I'm retired and still have a nice little stack of K&E blanks, just in case I need them. And for the wise guy, all I want to know is what is a practical application of using decade plots for sound. Give one example that shows how a decade plot is more useful than some other plot. Decade info on Goog is scarcer than hen's teeth so it must be a big secret or am I missing something about this artifact? -- 73 Hank WD5JFR "Don Pearce" wrote in message ... On Sat, 24 Feb 2007 16:37:46 GMT, "Henry Kolesnik" wrote: I understand the octave which relates to the doubling of pitch, cent which is 1/1200 of an octave. Cents are used in tuning and the good ears can tell a diference of about 3 cents. My imagination seems limited in understanding what's so great about plotting on log-log paper. And why is the knowledge of sound decades so limited? From 30 to 15,000 Hz there's 2.7 decades, 8.97 octaves and too many cents. The book points out that all visible light is one octave making the audible spectrum much more complicated if you look at it from that standpoint. In a multiband shortwave radio each band is approximately an octave because that's all a LC circuit can span. The octave is a musical convenience - we all recognise it and it is the natural interval on which all scales are based. Being power based rather than linear, it is a logarithmic scale. So much is easy enough. The decade is an artifact, based on the fact that we are a ten-based species. It has no greater significance than that it fits nicely with our mathematical norms. It is something we have come to accept as the natural order, even though it is no such thing. So why use log/log paper? The frequency axis is log because that is how music and out appreciation of pitch works. The vertical scale is log (dB0 because that is how our appreciation of loudness works - roughly. You could use a linear vertical scale, but then if you encompassed the loudest sounds, the small detail would be invisible. So a log decibel scale makes sense. Why decade paper? Because we have ten fingers. d -- Pearce Consulting http://www.pearce.uk.com |
#8
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![]() You see, you have to actually read what I wrote, then you'll understand. And please don't top post (like this). It screws the threading, and the stuff you are replying to disappears into your sig area. d On Sat, 24 Feb 2007 17:20:10 GMT, "Henry Kolesnik" wrote: Hey guys, I'm a graduate engineer and have done probably hundreds of plots on all kinds of log papers. I'm retired and still have a nice little stack of K&E blanks, just in case I need them. And for the wise guy, all I want to know is what is a practical application of using decade plots for sound. Give one example that shows how a decade plot is more useful than some other plot. Decade info on Goog is scarcer than hen's teeth so it must be a big secret or am I missing something about this artifact? -- 73 Hank WD5JFR "Don Pearce" wrote in message ... On Sat, 24 Feb 2007 16:37:46 GMT, "Henry Kolesnik" wrote: I understand the octave which relates to the doubling of pitch, cent which is 1/1200 of an octave. Cents are used in tuning and the good ears can tell a diference of about 3 cents. My imagination seems limited in understanding what's so great about plotting on log-log paper. And why is the knowledge of sound decades so limited? From 30 to 15,000 Hz there's 2.7 decades, 8.97 octaves and too many cents. The book points out that all visible light is one octave making the audible spectrum much more complicated if you look at it from that standpoint. In a multiband shortwave radio each band is approximately an octave because that's all a LC circuit can span. The octave is a musical convenience - we all recognise it and it is the natural interval on which all scales are based. Being power based rather than linear, it is a logarithmic scale. So much is easy enough. The decade is an artifact, based on the fact that we are a ten-based species. It has no greater significance than that it fits nicely with our mathematical norms. It is something we have come to accept as the natural order, even though it is no such thing. So why use log/log paper? The frequency axis is log because that is how music and out appreciation of pitch works. The vertical scale is log (dB0 because that is how our appreciation of loudness works - roughly. You could use a linear vertical scale, but then if you encompassed the loudest sounds, the small detail would be invisible. So a log decibel scale makes sense. Why decade paper? Because we have ten fingers. d -- Pearce Consulting http://www.pearce.uk.com -- Pearce Consulting http://www.pearce.uk.com |
#9
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Henry Kolesnik wrote:
Hey guys, I'm a graduate engineer and have done probably hundreds of plots on all kinds of log papers. I'm retired and still have a nice little stack of K&E blanks, just in case I need them. And for the wise guy, all I want to know is what is a practical application of using decade plots for sound. Give one example that shows how a decade plot is more useful than some other plot. Decade info on Goog is scarcer than hen's teeth so it must be a big secret or am I missing something about this artifact? Look at the data sheet of any product. You'll see a decade chart. It would correlate better with the musical scale if we used 16-cycle or 8-cycle plots. But we don't, mostly because a century and a half ago when Helmholtz started plotting responses there wasn't convenient paper available. If we had 16 fingers, it would be be an even better fit, and also it would be a lot easier to play the Rachmaninov second piano concerto too. --scott -- "C'est un Nagra. C'est suisse, et tres, tres precis." |
#10
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"Henry Kolesnik" wrote:
I just got the book Sound System Engineering by Don Davis and Carolyn Davis and it has 2 short sections on sound decades. Defined as: HF/LF=10**1=1 decade HF is highest freq and LF is lowest freq or HF/LF=10**x decades or (Ln HF - Ln LF)/Ln 10 = x decades An example for a span of 30 to 15,000 Hz x decades = (Ln 15,000 - Ln 30)/Ln 10 = 2.7 decades Ok, I think I understand the math but what is a practical application of a sound decade? I couldn't find anything in Wikipedia or Goog.. tnx Why logs (decades)? Just try plotting 20- 20KHz linearly! Or, 1 microvolt to 100 volts! (That's the typical range of levels in sound.) -- ~ Roy "If you notice the sound, it's wrong!" |
#11
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![]() "Roy W. Rising" wrote in message ... "Henry Kolesnik" wrote: I just got the book Sound System Engineering by Don Davis and Carolyn Davis and it has 2 short sections on sound decades. Defined as: HF/LF=10**1=1 decade HF is highest freq and LF is lowest freq or HF/LF=10**x decades or (Ln HF - Ln LF)/Ln 10 = x decades An example for a span of 30 to 15,000 Hz x decades = (Ln 15,000 - Ln 30)/Ln 10 = 2.7 decades Ok, I think I understand the math but what is a practical application of a sound decade? I couldn't find anything in Wikipedia or Goog.. tnx Why logs (decades)? Just try plotting 20- 20KHz linearly! Or, 1 microvolt to 100 volts! (That's the typical range of levels in sound.) -- ~ Roy "If you notice the sound, it's wrong!" Thanks, it has sunk in... Hank |
#12
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If we had 16 fingers, it would be be an even better fit, and also it
would be a lot easier to play the Rachmaninov second piano concerto too. Ha! If we had 16 fingers, Rachmaninov could have written harder concerti. |
#13
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![]() "Scott Dorsey" wrote in message ... Henry Kolesnik wrote: My imagination seems limited in understanding what's so great about plotting on log-log paper. Usually it's because log-log paper is what there is, and it's what people have always used for plotting responses. Look at a product data sheet and that's how you'll see it plotted. Which is decidedly NOT because that was all the paper they had! It's because they chose log-log to best suit the required purpose, just as everyone else does. Surely you understand the reason is because of the logarithmic response of the human auditory system to both frequency and SPL? Mostly it's because one of those things that engineers came up with because it makes the arithmetic easier to do, and today with pocket calculators people don't really care so much about making everything fall into nice easy numbers any more. Ignore my question above, obviously you don't. MrT. |
#14
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![]() "Henry Kolesnik" wrote in message . .. Hey guys, I'm a graduate engineer and have done probably hundreds of plots on all kinds of log papers. I'm retired and still have a nice little stack of K&E blanks, just in case I need them. And for the wise guy, all I want to know is what is a practical application of using decade plots for sound. Give one example that shows how a decade plot is more useful than some other plot. Decade info on Goog is scarcer than hen's teeth so it must be a big secret or am I missing something about this artifact? So you still don't understand that we usually use a tens based number system simply for convenience. Feel free to use a sexagesimal system if you prefer. Of course getting the rest of the world to change is not so easy. MrT. |
#15
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![]() "Roy W. Rising" wrote in message ... Why logs (decades)? Just try plotting 20- 20KHz linearly! Or, 1 microvolt to 100 volts! (That's the typical range of levels in sound.) Which is also backwards thinking. We only chose break points of 20-20kHz, 100Volts etc. because we had ALREADY chosen to use a decimal number system! MrT. |
#16
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Mr.T MrT@home wrote:
"Scott Dorsey" wrote in message ... Henry Kolesnik wrote: My imagination seems limited in understanding what's so great about plotting on log-log paper. Usually it's because log-log paper is what there is, and it's what people have always used for plotting responses. Look at a product data sheet and that's how you'll see it plotted. Which is decidedly NOT because that was all the paper they had! It's because they chose log-log to best suit the required purpose, just as everyone else does. Yes, but why 10-cycle? You'd think 8-cycle or 16 cycle would be more appropriate for the purpose, except that they don't make it... Surely you understand the reason is because of the logarithmic response of the human auditory system to both frequency and SPL? Sure, but we tend to think of frequencies in powers of two rather than ten. --scott -- "C'est un Nagra. C'est suisse, et tres, tres precis." |
#17
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![]() "Scott Dorsey" wrote in message ... Yes, but why 10-cycle? You'd think 8-cycle or 16 cycle would be more appropriate for the purpose, except that they don't make it... For some reason the decimal system is prefered over the octal and hexadecimal in the general community. Something to do with what they were first taught at school I think. Even with the introduction of computers making Hex slightly more well known, I don't think that is likely to change anytime soon. Sure, but we tend to think of frequencies in powers of two rather than ten. Being logarithmic to power of two, suits that already. Line groupings of two would just be silly. Getting people to change to an octal number system would be useful though, I will admit. Good luck with that. MrT. |
#18
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"Mr.T" MrT@home wrote:
"Roy W. Rising" wrote in message ... Why logs (decades)? Just try plotting 20- 20KHz linearly! Or, 1 microvolt to 100 volts! (That's the typical range of levels in sound.) Which is also backwards thinking. We only chose break points of 20-20kHz, 100Volts etc. because we had ALREADY chosen to use a decimal number system! MrT. Your other responses were interestingly confused. This one is somewhat upside-down. Logarithmic representations include natural logs that do not use the base 10. While they more closely resemble our natural perceptions, their math is unfamiliar. The break point of 20 Hz is conveniently close to 16 Hz, the lowest fundamental in acoustical music. 20 KHz is in the neighborhood of the highest frequency humans can conciously identify. These nearby decimal locations remain convenient approximations. Log 10 based scale compression gives us a convenient display, but many ten-fingered humans haven't the foggiest understanding of logs, hence this thread. Many of the same primates continue to insist on a system of weights and measures that conspicuously avoids decimal simplicity. Velocities measured in furlongs per fortnight or miles per hour and pressure measured in pounds per square inch deny the *assumption* "we had ALREADY chosen to use a decimal number system!" ;-) -- ~ Roy "If you notice the sound, it's wrong!" |
#19
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![]() "Roy W. Rising" wrote in message ... Which is also backwards thinking. We only chose break points of 20-20kHz, 100Volts etc. because we had ALREADY chosen to use a decimal number system! Your other responses were interestingly confused. Sorry that you think so. This one is somewhat upside-down. Logarithmic representations include natural logs that do not use the base 10. While they more closely resemble our natural perceptions, their math is unfamiliar. Exactly, log(e) is used where appropriate in the scientific world. It's use would be of limited value if you are trying to reach the general population. The break point of 20 Hz is conveniently close to 16 Hz, the lowest fundamental in acoustical music. 20 KHz is in the neighborhood of the highest frequency humans can conciously identify. These nearby decimal locations remain convenient approximations. Exactly. That's what I said, they were chosen as suitably appropriate DECIMAL numbers for convenience. They did NOT precede the decimal system. Many of the same primates continue to insist on a system of weights and measures that conspicuously avoids decimal simplicity. Velocities measured in furlongs per fortnight or miles per hour and pressure measured in pounds per square inch deny the *assumption* "we had ALREADY chosen to use a decimal number system!" ;-) Yes humans are irrational. However sometimes there are good reasons for things the way they are. I doubt we will ever have decimal time for example, but who knows, if we ever colonise another planet things might change. Angular measurements in degrees, radians etc. have their own benefits too. Many such examples. But there is a good reason why *most* countries have gone Metric anyway. And *most* have decimal currency. MrT. |
#20
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"Mr.T" MrT@home wrote:
"Roy W. Rising" wrote in message ... Which is also backwards thinking. We only chose break points of 20-20kHz, 100Volts etc. because we had ALREADY chosen to use a decimal number system! Your other responses were interestingly confused. Sorry that you think so. This one is somewhat upside-down. Logarithmic representations include natural logs that do not use the base 10. While they more closely resemble our natural perceptions, their math is unfamiliar. Exactly, log(e) is used where appropriate in the scientific world. It's use would be of limited value if you are trying to reach the general population. The break point of 20 Hz is conveniently close to 16 Hz, the lowest fundamental in acoustical music. 20 KHz is in the neighborhood of the highest frequency humans can conciously identify. These nearby decimal locations remain convenient approximations. Exactly. That's what I said, they were chosen as suitably appropriate DECIMAL numbers for convenience. They did NOT precede the decimal system. Many of the same primates continue to insist on a system of weights and measures that conspicuously avoids decimal simplicity. Velocities measured in furlongs per fortnight or miles per hour and pressure measured in pounds per square inch deny the *assumption* "we had ALREADY chosen to use a decimal number system!" ;-) Yes humans are irrational. However sometimes there are good reasons for things the way they are. I doubt we will ever have decimal time for example, but who knows, if we ever colonise another planet things might change. Angular measurements in degrees, radians etc. have their own benefits too. Many such examples. But there is a good reason why *most* countries have gone Metric anyway. And *most* have decimal currency. MrT. Excelent answers and examples! Regarding decimal time, some companies log their employees' presence in 6 minute increments ... tenths of the hour. -- ~ Roy "If you notice the sound, it's wrong!" |
#21
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"Mr.T" MrT@home said:
"Henry Kolesnik" wrote in message ... Hey guys, I'm a graduate engineer and have done probably hundreds of plots on all kinds of log papers. I'm retired and still have a nice little stack of K&E blanks, just in case I need them. And for the wise guy, all I want to know is what is a practical application of using decade plots for sound. Give one example that shows how a decade plot is more useful than some other plot. Decade info on Goog is scarcer than hen's teeth so it must be a big secret or am I missing something about this artifact? So you still don't understand that we usually use a tens based number system simply for convenience. Feel free to use a sexagesimal system if you prefer. Of course getting the rest of the world to change is not so easy. Then start using the SI (metric) system first. Measuring distances in feet, yards etc. is archaic. ;-) -- - Maggies are an addiction for life. - |
#22
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On Feb 24, 10:36 am, "Henry Kolesnik"
wrote: I just got the book Sound System Engineering by Don Davis and Carolyn Davis and it has 2 short sections on sound decades. I've been able to make absolutely no sense of the replies (relevant to your question) here, so I got out my copy of Sound System Engineering, checked the index for "decade" and found nothing. In what section or chapter (by title, please, not page number or chapter number) did you find this? My edition is very old (the hand calculator pictured is an HP-35) so it may not be in mine, but I'm willing to look for it if I knew where to look. Your question, and the answers, may make more sense in context than just looking at a formula. |
#23
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![]() "Mike Rivers" wrote in message ups.com... On Feb 24, 10:36 am, "Henry Kolesnik" wrote: I just got the book Sound System Engineering by Don Davis and Carolyn Davis and it has 2 short sections on sound decades. I've been able to make absolutely no sense of the replies (relevant to your question) here, so I got out my copy of Sound System Engineering, checked the index for "decade" and found nothing. In what section or chapter (by title, please, not page number or chapter number) did you find this? My edition is very old (the hand calculator pictured is an HP-35) so it may not be in mine, but I'm willing to look for it if I knew where to look. Your question, and the answers, may make more sense in context than just looking at a formula. Mike My book is the Second Edition FIRST PRINTING 1987 and decades are in the index. In The Contents at the first of the book we see Section 2 Mathematics for Audio Systems, Decade Calibration page 26 and Section 3 Using the Decibel, Calculating the Number of Decades in a Frequency Span page 57.. I accept and agree that it is easier and much more convenient to plot on log-log paper any values that have a wide range and log base 10 is fine. I also find it very practical to say some pitch or frequency depending on whether we're talking about sound or electrical signals that the range is 2 or 3 octaves. If we're discussing audio and I say starting at 20Hz every one knows 2 octaves is 80Hz. Or if I say 880Hz but one octave lower you go to 440Hz or 0.3010 decade in either case. So decades aren't of much practical use as far as I can see. Or take the span 20 to 20Khz is 3 decades is easy to do mentally and easy to understand whereas that same span is not quite 10 octaves, not too practical, but failrly easy to calculate on HP 11C. RDJones mentioned; "Crossovers, ie: the woofer is the first decade, mids are the second and the tweeter is the third." For speakers that puts woofers producing 20 to 200Hz, midrange producing 200 to 2000Hz and tweeters 2000 to 20,000Hz. This is my example to be used only for illustration because you never want any crossover in the 2000Hz neighborhood because it can degrade the human voice. From another book, Audio Cyclopedia by Tremaine it shows crossovers at 450hz and 5000Hz for a 3 way and 200, 1000, 3500, & 10KHz for a 5 way. It should be noted that the plots are on semilog paper but the filter rolloff is specd at 6dB per octave. In the Audio Engineering Handbook by Benson plots are on semilog paper and rolloff in dB per octave. Neither of the above books cover decades. I'm starting to think that decades are only used because we plot on log rule graph paper and that's because we don't have octave ruled graph paper. Their practical use is limited. Out of curiosity and because I've been shook up by sub woofers in theaters and now some cars can vibrate mine, what is the frequwncy range for these sub woofers and what is the rolloff, octaves or decades, however they are specd. tnx -- 73 Hank WD5JFR |
#24
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On Feb 25, 11:13 am, "Henry Kolesnik"
wrote: My book is the Second Edition FIRST PRINTING 1987 and decades are in the index. In The Contents at the first of the book we see Section 2 Mathematics for Audio Systems, Decade Calibration page 26 and Section 3 Using the Decibel, Calculating the Number of Decades in a Frequency Span page 57.. Oh, you have a new one. Mine is First Edition 8th printing, 1983. There's a lot about decimals and logs in that section but I didn't see anything like what you were talking about. Must have been a new idea they had for a class. I wouldn't think that they'd make such a big deal over what's obvious by looking at just about any frequency response graph, but maybe they felt it necessary to explain why we plot from 20 to 20,000 and not 10 to 100,000. At first I thought you were talking about a rule of thumb that suggested that the relationship between the lowest and highest frequency of whatever you chose to consider the bandwidth should is a constant for a "balanced" spectrum over the bandwidth, in other words, to not be bass-heavy or treble-heavy. But that's clearly not it, and I don't remember what the relationship is. It's interesting, anyway, and I'm sure that by mentioning it, someone will know what I'm talking about and state it properly. I love Usenet! I'm starting to think that decades are only used because we plot on log rule graph paper and that's because we don't have octave ruled graph paper. Now that's something that would confuse everyone, except maybe for musicians trained in harmonic theory. Cranesong makes an equalizer where the knobs aren't calibrated in frequency, they're calibrated in musical notes. I suspect that's an attempt to get people to just turn the knobs until it sounds right instead of boosting a 2.5 kHz because someone told them to do it. Out of curiosity and because I've been shook up by sub woofers in theaters and now some cars can vibrate mine, what is the frequwncy range for these sub woofers and what is the rolloff, octaves or decades, however they are specd. In theater systems, they're designed to start taking over at around 80 Hz. In cars, they're designed to produce a very small frequency range, probably in the order of 30-40 Hz. Anything down in that range will come out of the subwoofer pretty much at its tuned frequency because, well, it's tuned for that. |
#25
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"Mike Rivers" wrote:
At first I thought you were talking about a rule of thumb that suggested that the relationship between the lowest and highest frequency of whatever you chose to consider the bandwidth should is a constant for a "balanced" spectrum over the bandwidth, in other words, to not be bass-heavy or treble-heavy. But that's clearly not it, and I don't remember what the relationship is. It's interesting, anyway, and I'm sure that by mentioning it, someone will know what I'm talking about and state it properly. I love Usenet! The relationship you mention is "Let the product of the LF and HF -3dB frequencies equal 600,000". Familiar examples are 30-20,000Hz; 50-12,000Hz and 100-6000Hz. -- ~ Roy "If you notice the sound, it's wrong!" |
#26
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On Feb 25, 1:12 pm, Roy W. Rising wrote:
The relationship you mention is "Let the product of the LF and HF -3dB frequencies equal 600,000". Familiar examples are 30-20,000Hz; Oh, well, there goes 50 years of "20 to 20,000 cycles" shot to hell. |
#27
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"Mike Rivers" wrote:
On Feb 25, 1:12 pm, Roy W. Rising wrote: The relationship you mention is "Let the product of the LF and HF -3dB frequencies equal 600,000". Familiar examples are 30-20,000Hz; Oh, well, there goes 50 years of "20 to 20,000 cycles" shot to hell. There's not much music below 30 Hz, only a few pipe organs. However, I've always thought in terms of 20 to 30,000 Hz. Consider ... if someone can differentiate between a perfectly produced 8000 Hz sine wave and square wave, they're hearing 24,000 Hz! It's another good reason for 96 KHz sampling. -- ~ Roy "If you notice the sound, it's wrong!" |
#28
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![]() "Mike Rivers" wrote in message ups.com... On Feb 25, 1:12 pm, Roy W. Rising wrote: The relationship you mention is "Let the product of the LF and HF -3dB frequencies equal 600,000". Familiar examples are 30-20,000Hz; Oh, well, there goes 50 years of "20 to 20,000 cycles" shot to hell. Some old textbooks I've read give the human hearing range "30 cps to 15,000 cps" [sic]. I think it was gradually normalized to 20Hz to 20KHz during the 1960s. Of course, either one is just a rule of thumb. Actual human sensitivity varies. You can "hear" frequencies significantly lower than 20Hz if they are loud enough. Ditto for ultrasonic, although I think there is more variation at the high end. In my youth, I used to easily hear TV flyback transformers at 15,750Hz. I could walk into any department store, and tell immediately if they sold TVs, because I could hear the sets whining away in the distance like a bunch of cicadas. I'm lucky if I can hear 5KHz today. |
#29
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![]() "Roy W. Rising" wrote in message ... "Mike Rivers" wrote: On Feb 25, 1:12 pm, Roy W. Rising wrote: The relationship you mention is "Let the product of the LF and HF -3dB frequencies equal 600,000". Familiar examples are 30-20,000Hz; Oh, well, there goes 50 years of "20 to 20,000 cycles" shot to hell. There's not much music below 30 Hz, only a few pipe organs. However, I've always thought in terms of 20 to 30,000 Hz. Consider ... if someone can differentiate between a perfectly produced 8000 Hz sine wave and square wave, they're hearing 24,000 Hz! It's another good reason for 96 KHz sampling. Can someone do that? If they can, it would be the *only* good reason for 96KHz sampling that I can think of, unless you're selling bandwidth. :-) Keep in mind that, for the test to be valid, the *fundamental* (8KHz) frequency component must be at exactly the same level for the square wave and the sine wave, or the difference in loudness will provide a cue. I did this test on myself many years ago, and IIRC the math, the square wave peak level needed to be 0.707 (-3dB) relative to the sinewave peak level. If they were the same peak level you *could* hear the difference, due to the 3dB loudness mismatch, not the harmonics -- but at 8KHz, it wasn't always completely obvious to my ear what the real difference was. |
#30
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![]() "Sander deWaal" wrote in message ... "Mr.T" MrT@home said: So you still don't understand that we usually use a tens based number system simply for convenience. Feel free to use a sexagesimal system if you prefer. Of course getting the rest of the world to change is not so easy. Then start using the SI (metric) system first. Measuring distances in feet, yards etc. is archaic. ;-) Too right, how does that apply to anything I said? MrT. |
#31
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![]() "Roy W. Rising" wrote in message ... The relationship you mention is "Let the product of the LF and HF -3dB frequencies equal 600,000". Familiar examples are 30-20,000Hz; 50-12,000Hz and 100-6000Hz. Shame the more common 20-20,000 doesn't fit then :-) MrT. |
#32
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![]() "Roy W. Rising" wrote in message ... There's not much music below 30 Hz, only a few pipe organs. And piano's, and synth music and ... However, I've always thought in terms of 20 to 30,000 Hz. Consider ... if someone can differentiate between a perfectly produced 8000 Hz sine wave and square wave, they're hearing 24,000 Hz! Or IM distortion products, or mismatched levels or .... It's another good reason for 96 KHz sampling. Another good reason to require some PROOF. MrT. |
#33
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"Roy W. Rising" wrote in message
"Mike Rivers" wrote: On Feb 25, 1:12 pm, Roy W. Rising wrote: The relationship you mention is "Let the product of the LF and HF -3dB frequencies equal 600,000". Familiar examples are 30-20,000Hz; Oh, well, there goes 50 years of "20 to 20,000 cycles" shot to hell. There's not much music below 30 Hz, only a few pipe organs. Most of my live recordings have so much content below 30 Hz that I high-pass them, knowning that they will be primarily played on systems that can't handle 30Hz effectively, such as OEM car stereos. However, I've always thought in terms of 20 to 30,000 Hz. Consider ... if someone can differentiate between a perfectly produced 8000 Hz sine wave and square wave, they're hearing 24,000 Hz! AFAIK, this has never happened in a properly run experiment. It takes a clean system (many tweeters have lots of HF nonlinearity), bias controls, and intelligent level-matching. In fact 44/16 is an overkill format for distributing recordings. It has more HF extension and more dynamic range than can be practically used. It's another good reason for 96 KHz sampling. First off, 96 KHz does absolutely zero for one of the items mentioned here - 30Hz. Secondly, no proof or even reliable suggestive evidence has been provided. Just speculation that has already been tested and found to be false. |
#34
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Roy W. Rising wrote:
"Mike Rivers" wrote: On Feb 25, 1:12 pm, Roy W. Rising wrote: The relationship you mention is "Let the product of the LF and HF -3dB frequencies equal 600,000". Familiar examples are 30-20,000Hz; Oh, well, there goes 50 years of "20 to 20,000 cycles" shot to hell. There's not much music below 30 Hz, only a few pipe organs. That is not true. There are kick drums and electric bass guitars, electronic synthesizers and all manner of stuff between say, 100 Hz and 30 Hz. snip -- Les Cargill |
#35
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In article ,
Les Cargill wrote: Roy W. Rising wrote: "Mike Rivers" wrote: On Feb 25, 1:12 pm, Roy W. Rising wrote: The relationship you mention is "Let the product of the LF and HF -3dB frequencies equal 600,000". Familiar examples are 30-20,000Hz; Oh, well, there goes 50 years of "20 to 20,000 cycles" shot to hell. There's not much music below 30 Hz, only a few pipe organs. That is not true. There are kick drums and electric bass guitars, electronic synthesizers and all manner of stuff between say, 100 Hz and 30 Hz. snip -- Les Cargill The low E string on string bass and bass guitar is, IIRC tuned to 41 Hz (in standard tuning), and the famous bass drum on Fred Fennell's first Telarc recording was just about 40 Hz, again IIRC. |
#36
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#37
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Roy W. Rising wrote:
wrote: Roy W. Rising wrote: "Mike Rivers" wrote: On Feb 25, 1:12 pm, Roy W. Rising wrote: The relationship you mention is "Let the product of the LF and HF -3dB frequencies equal 600,000". Familiar examples are 30-20,000Hz; Oh, well, there goes 50 years of "20 to 20,000 cycles" shot to hell. There's not much music below 30 Hz, only a few pipe organs. That is not true. There are kick drums and electric bass guitars, electronic synthesizers and all manner of stuff between say, 100 Hz and 30 Hz. snip Your point being ... ? I said BELOW 30 Hz. I meant *below* 30 Hz as well. I did not type that, but I should have. All we need to know is that when somebody removes it on the right program material thru the right playback, its absence is apparent. Doesn't happen often. -- Les Cargill -- Les Cargill |
#39
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![]() "Roy W. Rising" wrote in message ... All things considered, 15-40,000 is a realistic range for electronics, and meets the 600,000 rule. And what is so important about the 600,000 "rule"? Most people seem quite happy with 20-20k IMO. MrT. |
#40
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"Mr.T" MrT@home wrote:
"Roy W. Rising" wrote in message ... All things considered, 15-40,000 is a realistic range for electronics, and meets the 600,000 rule. And what is so important about the 600,000 "rule"? Most people seem quite happy with 20-20k IMO. MrT. Perhaps you've missed the earlier discussion of the 600,000 rule. It is important when bandwidth must be limited to somewhere within the audible spectrum. It preserves a satisfactory bass-treble balance under restricted conditions. The logical extension outside the "audible spectrum" is simply ... well, .... logical! -- ~ Roy "If you notice the sound, it's wrong!" |
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