Difference between revisions of "Template:Two L1 Systems"

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How much gain do you get when you run two {{L1}} systems with the same source.
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{{Model II icon}}{{Model 1S icon}}{{Compact icon}}{{L1 Pro icon}}
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;Introduction
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: This discussion pertains to using two {{L1}} systems with the same sound source ([[:Dual Mono]]). For a discussion about stereo see  [[Stereo / Mono / Distributed Systems]]
  
<!--This is an excerpt from a recent post from Ken-at-Bose. He will be updating this soon. -->
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;What is the benefit of using two {{L1}} systems over one?
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: You will get more coverage (based on the distance between the {{L1}} systems) and an increase in loudness (but not double the loudness)<ref name=loudness>[http://www.sengpielaudio.com/calculator-levelchange.htm Loudness level gain volume perception dB factor volume conversion ...]</ref> .
  
:The most you can ever get from putting two sources fed by the same signal together is 6 dB. The reason? sound waves add in space through the principle of [https://www.acs.psu.edu/drussell/demos/superposition/superposition.html superposition]. If the waves from two sources perfectly add, you get twice the amplitude, which is 6 dB. <!-- Now, I've been proven wrong on a number of occasions, but if that happens on this occasion, Alan, the sound engineer you've been talking to is going to get a Nobel Prize. -->
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; How much more coverage will I get?
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: The increased coverage will be the result of the distance between the two systems. For example, if you place them twenty feet apart in the horizontal plane, you will get twenty feet more coverage from side to side. You will also increase the overall sound level by +3 dB. Your projection straight ahead may improve but that is harder to predict as the distances increases.
  
:The problem is that to get the full 6 dB the two sources have to be spaced very closely together relative to a wavelength of sound. at 50 Hz, where the wavelength of sound is about 20' (about 7 meters) that's pretty easy to do. Massing your B1 bass modules is done for this reason -- to get the 6 dB per doubling of B1 systems. But at 1,000 Hz, where the wavelengths are 1' (about 30 cm) you just can't do get L1 speakers close enough. As a result, you get something less than 6 dB because at some angles instead of the sound waves constructively adding they will destructively cancel (one will be partly or completely out of phase with the other).
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; How much gain do you get when you run two {{L1}} systems with the same source?
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: Short answer: +3 dB in practice
  
:Once you separate the sources by several or more wavelengths, the summations and cancellations are so numerous and so complex that we say the two sources are essentially uncorrelated (not strictly true, but for the purposes of this argument, a very close approximation.) When two sources are uncorrelated the only thing you can count on is that the total amount of acoustic power going into the room will be doubled. Doubling the power is 3 dB.
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; +6 dB in theory
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The most you can ever get from putting two sources fed by the same signal together is +6 dB. The reason?
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* Sound waves add in space through the principle of [https://www.acs.psu.edu/drussell/demos/superposition/superposition.html superposition]. If the waves from two sources perfectly add, you get twice the amplitude, which is +6 dB.  
  
:So what we've said is  
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* To get the full +6 dB the two sources have to be spaced very closely together relative to a wavelength of sound. at 50 Hz, where the wavelength of sound is about 20' (about 7 meters) that's pretty easy to do. Massing your bass modules is done for this reason -- to get the 6 dB per doubling of bass module systems. But at 1,000 Hz, where the wavelengths are 12 inches (about 30 cm) you just can't do get {{L1}} speakers close enough. As a result, you get something less than 6 dB because at some angles instead of the sound waves constructively adding they will destructively cancel (one will be partly or completely out of phase with the other).
# Put B1s together if you can because they'll give you an honest 6 dB per doubling of B1 systems;
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 +
; +3 dB in practice
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Once you separate the sources by several or more wavelengths, the summations and cancellations are so numerous and so complex that we say the two sources are essentially uncorrelated (not strictly true, but for the purposes of this argument, a very close approximation.) When two sources are uncorrelated the only thing you can count on is that the total amount of acoustic power going into the room will be doubled. Doubling the power is +3 dB.
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; Is +3 dB twice as loud?
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: No
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*Doubling the power (+3 dB)is  '''not''' twice as loud.
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*A non-exact rule-of-thumb is that every 10 dB increase is a doubling of perceived loudness. <ref name=loudness></ref>
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;Takeaways
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# Put bass modules together if you can because they'll give you an honest 6 dB per doubling of bass modules/
 
# If you are sending a mono or stereo signal to spaced L1 systems, try to space them 20 feet (7 meters) or more if you can because this will minimize any audible cancellations.
 
# If you are sending a mono or stereo signal to spaced L1 systems, try to space them 20 feet (7 meters) or more if you can because this will minimize any audible cancellations.
  
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:Alan, you've got enough spacing of your L1 systems and so I really don't see any problem with destructive interference. On the other hand, given the maximum benefit in level is only 3 dB, and you are somewhat reducing the clarity and accuracy of localization, I question the benefit. Your willingness to experiment is a good ingredient.
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[http://bose.infopop.cc/eve/forums/a/tpc/f/778102955/m/108102942?r=879106073#879106073 Source: Ken-at-Bose]
 
 
:I'm going to work next week on a Wiki article on this subject, someplace where I can try to put these thoughts together where they can be found time and time again.
 
 
-->
 
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[http://bose.infopop.cc/eve/forums/a/tpc/f/778102955/m/108102942?r=879106073#879106073 Source: Ken-at-Bose]
 
 
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[[Category:L1]]
 
[[Category:L1]]

Latest revision as of 07:26, 22 September 2024

L1 Model II This information is applicable to the L1®  Model II
L1 Model 1S This information is applicable to the L1®  Model 1S
L1 Compact
L1 Pro This information is applicable to the L1 Pro

Introduction
This discussion pertains to using two L1 systems with the same sound source (Dual Mono). For a discussion about stereo see Stereo / Mono / Distributed Systems
What is the benefit of using two L1 systems over one?
You will get more coverage (based on the distance between the L1 systems) and an increase in loudness (but not double the loudness)[1] .
How much more coverage will I get?
The increased coverage will be the result of the distance between the two systems. For example, if you place them twenty feet apart in the horizontal plane, you will get twenty feet more coverage from side to side. You will also increase the overall sound level by +3 dB. Your projection straight ahead may improve but that is harder to predict as the distances increases.
How much gain do you get when you run two L1 systems with the same source?
Short answer: +3 dB in practice
+6 dB in theory

The most you can ever get from putting two sources fed by the same signal together is +6 dB. The reason?

  • Sound waves add in space through the principle of superposition. If the waves from two sources perfectly add, you get twice the amplitude, which is +6 dB.
  • To get the full +6 dB the two sources have to be spaced very closely together relative to a wavelength of sound. at 50 Hz, where the wavelength of sound is about 20' (about 7 meters) that's pretty easy to do. Massing your bass modules is done for this reason -- to get the 6 dB per doubling of bass module systems. But at 1,000 Hz, where the wavelengths are 12 inches (about 30 cm) you just can't do get L1 speakers close enough. As a result, you get something less than 6 dB because at some angles instead of the sound waves constructively adding they will destructively cancel (one will be partly or completely out of phase with the other).
+3 dB in practice

Once you separate the sources by several or more wavelengths, the summations and cancellations are so numerous and so complex that we say the two sources are essentially uncorrelated (not strictly true, but for the purposes of this argument, a very close approximation.) When two sources are uncorrelated the only thing you can count on is that the total amount of acoustic power going into the room will be doubled. Doubling the power is +3 dB.

Is +3 dB twice as loud?
No
  • Doubling the power (+3 dB)is not twice as loud.
  • A non-exact rule-of-thumb is that every 10 dB increase is a doubling of perceived loudness. [1]
Takeaways
  1. Put bass modules together if you can because they'll give you an honest 6 dB per doubling of bass modules/
  2. If you are sending a mono or stereo signal to spaced L1 systems, try to space them 20 feet (7 meters) or more if you can because this will minimize any audible cancellations.