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The only train to Izumo Taisha is operated by private company Ichibata Dentetsu, or Bataden. Twas not always thus, as the JNR had a short 7 km branch line from Izumo-shi to Taisha until 1990. It was served by direct expresses from Nagoya and Kanazawa (11-hour day express Taisha) and night expresses from Ôsaka (Daisen).
But Bataden is no upstart, they've been around for a long time. They've been connecting Matsue Shinjiko-Onsen, Dentetsu Izumo-shi (neighbour to JR Izumo-shi) to Izumo Taisha-mae since the 1920s. On of their trains of the time was the DeHaNi 50, left in its refurbished DeHa 50 form. On the right is the 7000 Series, the company's newest model... and their first new train since the DeHaNi 50!
In the 90-year interim, Ichibata has relied on second-hand trains (yes, that's a thing in Japan), mostly from Tokyo-based Keiô. A rather nice retreat for these vehicles, from the crowded suburban lines around the capital, to scenic moseys around Lake Shinji... There are some special liveries and trains, such as Shimane-no-ki below, with some nice wooden decking inside, and single-seat semi-compartments! "Wait, is this First class?", I remember thinking to myself.
A little local train in Hikone: Ômi Tetsudô is a private company that's been around in the area for over 125 years, hence the panel on this particular train, in retro colours.
Japan has many small lines run by small companies which were never nationalised. However, Ômi Tetsudô is owned by the larger private rail company Seibu, based in the North-Western sector of Tokyo, whose main route is Ikebukuro to Chichibu. Ômi mainly runs second-hand Seibu stock.