This is what I saw and heard.
Mitake-san is a sacred mountain in the far reaches of western Tokyo.
From Shinjuku catch the JR Chuo line Tachikawa and change to the JR Ome line towards Okutama. (90 minutes / 920yen). From Mitake Station catch the Nishi Tokyo Bus to Cable Shita (ケーブル下) bus stop. Buses leave at least once or twice an hour and cost 270yen for the 10 minute ride. The Mitake Tozan Railway cable car leaves at least once every half hour and costs 570yen.