From my calculations, BHJ is closer to QS than H is.
You are of course entitled to your opinion. But BHJ is the engineering specification for encoding the W, X and Y direction signals into two channels. The two channels, called Left and Right, can then be transmitted using conventional stereo media before being decoded back into W, X and Y. The BHJ format has been designed to be mono and stereo compatible. In practice, BHJ is the only UHJ encoding that has been used for commercial record releases. For this reason UHJ has become a synonym for BHJ and UHJ is the symbol you will see on BHJ encoded LPs and CDs.
How can the ability to encode height information and mono compatible be close to QS?
Below is info from the Ambisonic FAQ written by Martin Leese
6. What were Matrix H and HJ?
Matrix H and HJ were surround sound encodings used by the British Broadcasting Corporation in the late 1970s for experimental FM radio broadcasts. Matrix H was based on the QS quadraphonic system and was modified to HJ which was based on Ambisonic principles.
7. What is UHJ?
Two-channel UHJ was extended into a hierarchy of C-Formats for 2, 2.5, 3 and 4 transmission channels, termed BHJ, SHJ, THJ and PHJ, respectively. The extra channels are used to augment the two base channels to give improved horizontal surround sound and, for four-channel UHJ (PHJ), periphonic (full-sphere) surround sound. In practice, only two-channel UHJ (BHJ) encoded material has ever been released. For this reason UHJ has become a synonym for BHJ, and UHJ is the symbol you will see on LPs and CDs.
In the mid to late '70's during the height of the Quadraphonic era, Nimbus released LP's in the Sansui QS matrix format (see the Classical Quadraphonic Discography).
Those record numbers are NIM-2101 (QS),NIM-2102 (QS),NIM-2106 (QS),NIM-2107,NIM-2110 (QS),NIM-2109 (QS) & NIM-2111 (QS)