In other words, assuming we want 20 bits, we conclude that we need 20 bits. Hard to argue against that, aside from the fact that it's a bit circular.
No, I showed that you can do with 16 if you used the proper signal processing.
My original point was that as long as you listen at a level where the max amplitude is 96 dB SPL (which I consider loud enough), just considering ATH is enough to conclude that 16 bit is enough.
Now *that* is circular
. You pick 96 based on what? That it happens to be the dynamic range of 16 bits/CD? You can't solve an equation based on the variables you choose. But rather, what the customer needs. The customer is a high-end one, who wants the absolute best fidelity and nothing lost in the capture of the source. For that, we can look to some research:
http://www.aes.org/e-lib/browse.cfm?elib=11981
Author: Fielder, Louis D.
"Dynamic Range Requirement for Subjective Noise Free Reproduction of Music
A dynamic range of 118 dB is determined necessary for subjective noise-free reproduction of music in a dithered digital audio recorder. Maximum peak sound levels in music are compared to the minimum discernible level of white noise in a quiet listening situation. Microphone noise limitations, monitoring loudspeaker capabilities, and performance environment noise levels are also considered.
....
The recent emergence of PCM recording techniques for music reproduction and the desire to standardize this format involves a re-examination of dynamic range requirements for natural music reproduction. Standardization of a 16 bit linear format would limit the dynamic range capability to 96 dB, and limit the quality of future PCM recorders if a wider range eventually became necessary.
....
The most accurate of previous examinations of dynamic range requirements was done by Fletcher [1] , who argued that 100 dB dynamic range was necessary.... Fletcher ignored the ear's ability to detect a noise source below that of the room noise by source localization.
...
For this particular microphone, the overload point is 130 dB and thus would allow the capturing of an equivalent dynamic range of 121 dB if peak levels of 130 dB exist in a performance. From the tabulation on peak sound levels close to musical instruments in Table 3, it is seen that musical instruments are capable of producing these high sound levels especially at distances less than 3 feet.
...
Four different microphones were measured which had overload levels between 120 to 140 decibels. They were all condenser microphones and as the graph shows the noise levels in the 3 - 7 kHz region were within 5 dB of each other. In summary, it is shown that close talking techniques and the proper selection of a microphone produces no limitation or reduction on the dynamic range requirement as determined by the playback experiments. Even a natural miking technique results in only a 9 dB white noise threshold.
In conclusion, several experiments were made to determine the dynamic range requirement for a recording system to produce no audible hiss when used to play back music at natural listening levels. These experiments resulted in a dynamic range requirement of 118 dB (non-amplified music), 124 dB (amplified music) for the professional, and 106 dB for the high quality consumer playback system."
http://www.aes.org/e-lib/browse.cfm?elib=7948
Author: Fielder, Louis D. (1995)
"Dynamic-Range Issues in the Modern Digital Audio Environment
The peak sound levels of music performances are combined with the audibility of noise in sound reproduction circumstances to yield a dynamic-range criterion for noise-free reproduction of music. This criterion is then examined in light of limitations due to microphones, analog-to-digital conversion, digital audio storage, low-bit-rate coders, digital-to-analog conversion, and loudspeakers. A dynamic range of over 120 dB is found to be necessary in the most demanding circumstances, requiring the reproduction of sound levels of up to 129 dB SPL. Present audio systems are shown to be challenged to yield these values.
....
A survey of the dynamic range capabilities of ADCs shows values of 90-110 dB, with the highest value for the best configurations of 20-bit word length converters,Analog Devices, Crystal Semiconductor, and Ultra Ana-log all make ADCs with dynamic ranges of 106-110 above 1 kHz. Unfortunately these values of dynamic-range performance are inadequate to meet the professional and most demanding of the consumer requirements, and techniques to increase the apparent dynamic-range characteristics are necessary."
Granted, not everyone requires such dynamic range. But if we are to establish what is an appropriate distribution specification, it better accommodate all that we can throw at it. One has to remember that there is no better customer of music than high-end buyer. They are the ones shelling out thousands and often tens of thousands of dollars in music. And are least apt to go and steal MP3s. So if you are going to set a standard, you better take good care of them.
Now, if you listen at a level above that, 16 bits is still enough, but then you have to involve simultaneous masking to show that it is. In other words, if you have music playing at 120 dB, it's going to severely degrade the sensitivity of your hearing. Not to mention -- as Ethan pointed out -- that finding a room where the background noise is below ATH is not exactly easy.
Not really. I am not sitting there listening to a tone at 120 db. A transient may just last a few milliseconds. Home theaters routinely hit 100+ db. THX spec for example requires 105 db. I am not seeing warning signs on such equipment saying you are going to go deaf.
Now in the old days of slow Internet and expensive hard disks, sure, we could argue these points and I used to do the same
. But technology and infrastructure has moved on. It is time that we don't short-change the customer knowingly in the interest of economizing for the sake of economizing. People are paying good money for music and like to feel, and be confident, that they are getting all the quality they could. Taking some of it out because we think they shouldn't have it doesn't make sense.