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With duplexes or aliquot scales, which was patented in 1872 by Theodore Steinway, the different components of string vibrations are controlled by tuning their secondary parts in octave relationships with the sounding lengths
- In Agreement systems developed by Blüthner (1872), as well as Taskin (1788), and Collard (1821) given over more distinctly ringing undamped vibrations to modify tone.
The longer strings on a concert grand can vibrate bounteous freely than the shorter, thicker strings on a baby grand, which means that a concert grand's strings will have truer overtones. This is Grand Piano Covers partly because the strings will be tuned closer to equal temperament in kin to the standard pitch with less "stretching" in the piano tuning (See: Piano tuning). Full-size grands are frequently attached for public concerts, whereas smaller grands, introduced by Sohmer & Co. in 1884, are often chosen for domestic fitness where headway and cost are considerations.