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Acoustical Properties Performance in a 2"x4" wood stud wall: STC Sound Transmission Class - 37 Hz. Freq. 125 250 500 1000 2000 4000 ASTM E90 19 30 31 42 38 46 NRC Noise Reduction Coefficient - 70 Hz. Freq. 125 250 500 1000 2000 4000 ASTM C423 .11 .43 .89 .72 .71 .67
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Note the last line -- performance per unit area isn't as good as standard absorbers, but the flip side of this argument is that it would be trivially easy to achieve a LOT of absorbing area. Just leave off the sheetrock and hang fabric! Interesting idea.
The performance dip above 500 Hz could likely be offset with some carpet or drapes. The biggest problem I see is in the low end, because it's going to take some trapping to improve what is essentially no absorption below 250 Hz. You may find out that the performance of 2" 703 in the mids and highs is good enough once you get the amount on the walls you need for low frequency smoothness.