Yoshihiro Kanno – Shin Hanshichi Torimonochou (DPCX-5089, 1997) 224 MP3

Tracklisting:
01. Theme Music
02. Hanshichi’s Theme
03. Writing
04. Murmur of the Heart
05. Search I
06. Shokido’s Theme
07. The Whereabouts of Love
08. Suspense
09. Travel of the Heart
10. Search II
11. Following ・ Farse
12. Hanshichi ・ Human Nature
13. Bear and Game
14. Hanshichi ・ Records
15. Seven and a half

Very lovely, jazz-styled score by Kanno. Not my rip.
https://mega.co.nz/#!jMNiAL6B!L1KQlgYwvx29F1svH-59pzOh76k8cq0Qm-SsZG2AJ9g

OSTLIB – Movies, TV series and video games – Shin Hanshichi Torimonochou (http://japan.ostlib.com/movies/shin-hanshichi-torimonochou/) (loosely) translates the title as Samurai Police Records.

Google Translate has it as New semi-seven Detective Story, which sort of ties in with the last track.

From Shin Hanshichi Torimonocho – DramaWiki (http://wiki.d-addicts.com/Shin_Hanshichi_Torimonocho) :

Title: 新・半七捕物帳
Title (romaji): Shin Hanshichi Torimonocho
Also known as: Hanshichi
Genre: Detective
Episodes: 18
Broadcast network: NHK
Broadcast period: 1997-Apr-04 to 1997-Aug-01
Air time: Friday 20:00
Theme song: "Hi" sung by Okuda Tamio

Synopsis: This series is based on the series of 68 novels written by Okamoto Kido in the early 20th century. The hero is Hanshichi, a young but highly skilled Edo-era detective. Widowed for two years, Hanshichi lives alone in a tenement house. His sister-in-law Okume, who has a crush on him, looks in on him from time to time. Sanada Hiroyuki (known to action movie fans as Henry Sanada) stars as Hanshichi.