We want to study noise in scaled down room to utilize better noise control. We can use dimensionless analysis however it's better to stick to standards.
In fact, I am not familiar with scaling standards. However, there are rules for scaling which guarantee that the selected scale-down factor is properly applied to frequency and wall absorption and its frequency dependance.
The rules for scaling down are detailed in the attached chapter.
I hope this can be of help.
The principles of acoustic scale modelling are simple. For auditorium acoustics scales of 1:8 to 1:50 have been used, larger scales are simpler to operate but take up more space. Scale modelling offers 'perfect scaling' EXCEPT in the case of air absorption. Dealing with this and other issues involves a certain investment in time etc. For simple acoustic situations, computer simulation modelling may offer sufficiently accurate predictions. The attached paper is old but considers most of the issues relevant to scale modelling.
Mikes and Yehias answers just include all the facts I would mention too. Furthermore, to overcome the air absorption, it is possible to 'flood' the physically scaled model with an appropriate medium. For example, the model of the Elbphilharmonie (1:10, up-scaled frequency respectievely) was acoustically measured by using pure nitrogen as medium to influence the air (better: medium) absorption.
I would suggest also the following attached paper. Since models with gas other than air are practically difficult to handle you can also think about a numerical air absorption compensation. You could have a look at Ciric and Patic, 2012, "Numerical Compensation of Air Absorption of Sound in Scale Model Measurements".
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