Each list indicates the date when aspects between the two planets perfected (became exact); the zodiacal degree and sign of each planet; and, direct or retrograde motion.  The following aspects are listed: conjunction, opposition, trine, square, sextile, semisextile, and quincunx.  I've also listed, and use, parallel and contra-parallel declinations. 

Fig 1: Date order of the aspects between two planets between 5000 BC and 3000 AD.  Universal Time (UT) is eases transposition to geodetic charts.  After identifying a major astrological change, I shift to geodetic charting to analyse transits to angles.  You can browse a collection of static radical charts for various locations around the world in the Geodetic Chart Library.

Fig 2: The synodic cycle list is sorted showing consecutive Aspects of the two planets between 5000 BC and 3000 AD.  You can view the repetition and variability in the synodic cycle relative to tropical zodiac sectors.  The number of consecutive conjunctions in each zodiac sector vary, modified by elongated planetary orbits.  Though consecutive conjunctions of both planets may be in the same zodiac sector, the configuration of other planets will be different.

You're email questions on synodic cycles are welcome, answers will be compiled in a FAQ.

UT (Universal Time) is used, erected for Greenwich, UK, on Geocentric coordinates.
To convert to your time zone, visit Time & Date for conversion factors.

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Pluto - Neptune
492 yrs

Neptune - Uranus
172 yrs

Pluto - Uranus
127 yrs

Uranus - Saturn
45 yrs

Pluto - Saturn
33 yrs

Using universal time is my default, because accuracy to the day is more than sufficient to identify changes in major trends and the major events that accompany them.  The choice of Greenwich, UK, as the beginning of the geodetic grid is arbitrary, it's current, familiar, and just makes time-zone adjustments easy.  You can shift the beginning of the geodetic grid, east or west, as you choose, experiment.  I also watch the performance of a grid beginning at Giza, Egypt, and a few other interesting locations.      

References:
(1) The Arkana Dictionary of Astrology. Gettings, F. 1990. p.497. Penguin Books.

(2) Lengths of synodic cycles from Mundane Astrology: An introduction to the astrology of nations and groups. Baigent, M.; Campion, N. and Harvey, C. 1992. p.177. The Aquarian Press.