We have been investigating disk holograms made from a computer-generated hologram (CGH). Since a general flat format hologram has a limited viewable area, we usually cannot see the other side of the reconstructed object. Therefore, we propose a computer-generated cylindrical hologram (CGCH) to obtain a hologram with a 360 deg viewable area. The CGCH has a special shape that is difficult to construct and calculation of such a hologram takes too much time. In contrast, a disk-type hologram is well known as a 360 deg viewable hologram. Since a regular disk hologram is a flat reflective type, the reconstruction setup is easy. However, there are just a few reports about creating a disk hologram by use of a CGH. Because the output device lacks spatial resolution, the hologram cannot provide a large diffraction angle. In addition, the viewing zone depends on the hologram size; the maximum size of the fringe pattern is decided on the basis of the special frequency of the output device. The calculation amount of the proposed hologram is approximately a quarter of that of a CGCH. In a previous study, a disk hologram made from a CGH was achieved. However, since the relation between the vertical viewing zone and reconstructed image size is a trade-off, the size of the reconstructed image and view zone is not enough for practical use. To improve both parameters, we modified a fringe printer to issue a high-resolution fringe pattern for a disk hologram. In addition, we propose a new calculation method for fast calculation.