Holoscopic imaging has recently become a prospective glassless 3D technology conquering the attention of researchers seeking more realistic depth-illusion approaches. However, backward compatibility with legacy displays is crucial to progressively introduce this technology into the consumer market and to efficiently deliver 3D holoscopic content to end-users. Therefore, this letter proposes a new display scalable coding solution for 3D holoscopic based on an inter-layer prediction scheme that exploits the redundancy between multiview and 3D holoscopic content representations. Experimental results show that this inter-layer prediction scheme integrated into the High Efficiency Video Coding (HEVC) is advantageous, always outperforming the simulcast approach.