Well everyone knows the trouble I got in last time I worked with canonical calendar numbers, that I have mainly 365.0200808 and under, while others work with ~365.25, but I found some numbers for retrograde periods in Wikipedia, and they’re quite interesting
I continue to work on my calendar tables, whose number of Half Venus Cycle values continues to expand. Eventually one might encounter equations that are slightly uneven that will provide a number of similar values to whatever one is working with, which eventually may lead to having sets whose ratios are many of the usual fine or very fine ratios, 1.000723277, 1.00070304, 1.000091595, 1.000020214, etc.
A particularly good approximation of the Eclipse Year, 346.6251893, goes with a Half Venus Cycle of 18992.11618, which has just become the proposed “I” value on this account.
I also just started work with these figures that look like canonical figures for retrogrades, and find some remarkable ratios and patterns between both months and days, and between days in retrograde and months (and perhaps even between retrograde values for adjacent planets, and synodic period values for adjacent planets?)
https://en.wikipedia.org/wiki/Apparent_retrograde_motion
Several of the handful of numbers I’ve chosen to call “Mayan Wonder Numbers” may also be present.
Venus Synodic Period / Venus Retrograde Period = 584 / 41 = 1.424390294, looking very much like Mayan Wonder Number 1.67627943 / 1.177245771 = 1.424280286
With a Venus Synodic Period of (2.921060646 x 2 = 584.0321292), 584.0321292 / 1.424280286 = 41.00542113 = 5 / 1.219350969 (360 / 1.219353096 = 29.52390321)
41.00542113 / 4 = 1.025135528, which is another of the 3 main “Mayan Wonder Numbers”
(1 / (2 Pi)) / 3.881314681 = 41.00542113
Also I just noticed that 29.52390321 x 4 = 1.180956129. I did a bit of checking on numbers like this that are similar to 12 Pi^2 = 1.184352528, trying to be more sure of which one they were talking about, and I see this particular figure often enough so I’ve been seeing a bit of this elusive Lunar Month figure 29.52390321 as 4 x itself without realizing it.
So 29.52390321 / 288 (144 x 2 = ((12^2) x 2) = 1.025135528 then. I did not know that.
I’ve been seeing a lot of a 2.050- figure lately, I’d best try to remember that it could well be 1.025135528 x 2 = 2.050271056
One of Professor Thom’s Avebury Arcs in Royal Cubits is 205.0753488 ft.
I know I’ve been pointing out to people that the ancients showed a very ancient impetus to get involved with math for the sake of calendars, and had thousands and thousands of years to develop and perfect this mathematics, but they may have taken still more into consideration than I ever dreamed.
The values for Neptune and Uranus are also intelligible with the math I use, but I’m avoiding working with values for Neptune and Uranus “so I don’t have to show cynics ancient telescopes” to evidence awareness of them on the part of the ancients, although some authors have already demonstrated that their Orbital and Synodic cycles do seem to fit into the scheme of their calendars.
Uranus Synodic Period / Uranus Retrograde Period = 370 / 151 = 2.450331126, compare (for example) 1 / (1.5 x 2.720174976) = 2.450822732
Neptune Synodic Period / Neptune Retrograde Period = 367 / 158 = 2.32278481, compare sqrt 540 = 2.323790008
Among the remaining “visible planets”,
Mercury Synodic Period 116 / Mercury Retrograde Period ~21 = 5.523809524 = 27.61903762 (~the 27.55 day Anomalistic Month). I haven’t quite placed this yet. Several numbers that exist among the numbers I use as 5.522219214 = 1 / (3.881314681 x (360^3)) and 5.526213392 = 1 / (452.3893421 x 4).
Note that Mercury Synodic Period 116 / Mercury Retrograde Period ~21 = 5.523809524 and Mercury Retrograde Period ~21 / Mercury Months 3.8 = 5.526315789
Mars Synodic Period 780 / Mars Retrograde Period 72 = 1.083333333, which in my mathematical dialect is probably the 1.082323231 that I encountered with Mayan calendars and architecture that I’ve long said is important to calendars although it still normally eludes me why unless I spend some time getting to know the number all over again.
1082.323231 I x 4 = 4329.292924, one of the main numbers I use for the Jupiter Orbital period, but there is more to it.
Saturn Synodic Period / Retrograde Period = 378 / 138 = 2.739130435 = 1 / 365.0793651 i.e., for intents and purposes 365.0200808.
Jupiter Synodic Period 121 / Mars Retrograde Period 72 = 1.680555555. I was just looking at where a circle with circumference of 5280 has a diameter of 1680.676199 and Robert Bauval mentioned finding 1680 in Egyptian architecture in what looks a connotation of astronomy.
Please also notice the similarity of Uranus months 12.15 to Remen values of ~1.215-1.216 and the ratios
Venus Days / Months = 584 / 192 = 30.41666666, compare to (500 x 1.216733603) / 2 = 30.41834008 = 250 Remens
Mars Days / Months = 780 / 25.6 = 3.046875, compare to 1 / (57.29577951^2) = 3.046174198
Jupiter Days Retrograde / Months = 121 / 13.1 = 1 / 1.08264462 = 1.082323231 again?
Saturn Days Retrograde / Months = 138 / 12.4 = 1.1112903226 = 25 / 224.6376812 = 25 / 224.8378080?
Venus Days Retrograde / Months = 41 / 19.2 = 1.067708333 x 2 = 1.067438159 x 2?
Mars Days Retrograde / Months = 72 / 25.6 = 2.815 = 225 / 8 (for DavidK who probably already knows, 2.815 = 5 / 1.77777777)
Neptune Days Retrograde / Months = 158 / 12.07 = 1.309030655 compare to 1.308050856 = 4 / 305.7985078
–Luke Piwalker
Luke Piwalker 