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Your 437.5 unit has thrown up some more curiosities which you may have already come across, but I'll pop that in here too just in case.
When it is applied as a multiplier to the 1.728 and 1.8 cubits you get 756 feet(GP side length) and 787.5 feet. 787.5 is quite close to 792, a familiar canonical number. The difference is 4.5 feet(54 ins)
This turns out to be a divisor of 792,( 4.5 x 176), which you are no doubt aware is John Michell all over, so 792 and 787.5 are the two variants of 175 and 176 for the module of 4.5 feet.

756 is also divisible by 4.5= 168. The difference between 756 and 787.5 is 31.5 feet, which is itself a divisor of both in the ratio of 24:25. 31.5 feet is 7 x 4.5 feet.

If you apply 4.5 feet to the sarsen ring it throws up 99 feet at 22x and 103.5 feet at 23x. 103.5 is quite close to 103.68, another familiar canonical number, the difference is 0.18 feet(2.16ins) 103.68/0.18 = 576, with 103.5/0.18= 575. 99/0.18=550.

Curiously I have come across 4.5 feet as a measure elsewhere and I've been wondering about it ever since because it seemed out of place. Now it makes much more sense.

I must admit that 437.5 is a new one on me.

I find the canonical system is a kind of thread that underpins all sorts of other similar systems, much like the ones you are exploring here. There seems to be a relationship that ties them all together with the canonical as a kind of datum core for the others to hang onto. Since I started looking at things this way the notion of figures not quite adding up isn't such a stumbling block. I now think that near misses are more likely due to an as yet unidentified spur off the main stem which will come to light sometime in the future, just like the 4.5 feet has here when combined with the 437.5.

Your insights have opened a door there. Thank you.

cloister

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Let there be Phos :) 2306 magisterchessmutt 16-Dec-17 03:08
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Re: Let there be Phos :) 179 magisterchessmutt 17-Dec-17 14:17
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Re: Let there be Phos :) 208 magisterchessmutt 17-Dec-17 22:29
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Re: Let there be Phos :) 243 Horatech 18-Dec-17 23:27
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Re: Let there be Phos :) 216 molder 19-Dec-17 05:00
Re: Let there be Phos :) 200 Horatech 19-Dec-17 06:19
Re: Let there be Phos :) 218 magisterchessmutt 19-Dec-17 06:25
Re: Let there be Phos :) 203 molder 19-Dec-17 07:11
Re: Let there be Phos :) 275 magisterchessmutt 19-Dec-17 11:56
Re: Let there be Phos :) 207 Sirfiroth 19-Dec-17 19:32
Re: Let there be Phos :) 240 magisterchessmutt 20-Dec-17 03:00
Re: Let there be Phos :) 182 Sirfiroth 20-Dec-17 16:03
Re: Let there be Phos :) 211 magisterchessmutt 21-Dec-17 06:22
Re: Let there be Phos :) 187 molder 19-Dec-17 22:08
Re: Let there be Phos :) 204 magisterchessmutt 20-Dec-17 02:08
Re: Let there be Phos :) 211 molder 20-Dec-17 20:57
Re: Let there be Phos :) 224 magisterchessmutt 22-Dec-17 02:33
Re: Let there be Phos :) 189 magisterchessmutt 22-Dec-17 04:23
Re: Let there be Phos :) 215 mmstud 22-Dec-17 08:12
Re: Let there be Phos :) 243 magisterchessmutt 22-Dec-17 10:44
Re: Let there be Phos :) 208 mmstud 22-Dec-17 12:26
Re: Let there be Phos :) 281 magisterchessmutt 23-Dec-17 00:47
Re: Let there be Phos :) 277 magisterchessmutt 24-Dec-17 15:20
Re: Let there be Phos :) 276 magisterchessmutt 24-Dec-17 04:07
Re: Let there be Phos :) 218 drew 18-Dec-17 00:51
Re: Let there be Phos :) 212 magisterchessmutt 18-Dec-17 02:11
Re: Let there be Phos :) 308 mmstud 22-Dec-17 14:44
Re: Let there be Phos :)Doubling a cube 286 molder 22-Dec-17 21:21
Re: Let there be Phos :)Doubling a cube 290 molder 23-Dec-17 22:27
Re: Let there be Phos :)Doubling a cube 239 magisterchessmutt 24-Dec-17 01:55
Re: Let there be Phos :)Doubling a cube 245 magisterchessmutt 26-Dec-17 14:53
Re: Let there be Phos :)Doubling a cube 197 molder 26-Dec-17 21:51
Re: Let there be Phos :)Doubling a cube 194 magisterchessmutt 27-Dec-17 03:36
Re: Let there be Phos :)Doubling a cube 182 molder 27-Dec-17 05:02
Re: Let there be Phos :)Doubling a cube 247 magisterchessmutt 27-Dec-17 11:07
Re: Let there be Phos :)Doubling a cube 199 rodz111 29-Dec-17 22:44
Re: Let there be Phos :)Doubling a cube 178 Sirfiroth 28-Dec-17 18:28
Re: Let there be Phos :)Doubling a cube 219 DavidK 28-Dec-17 19:33
Re: Let there be Phos :)Doubling a cube 216 magisterchessmutt 29-Dec-17 02:42
Re: Let there be Phos :)Doubling a cube 268 Sirfiroth 29-Dec-17 14:27
Re: Let there be Phos :)Doubling a cube 216 DavidK 29-Dec-17 15:05
Re: Let there be Phos :)Doubling a cube 227 magisterchessmutt 29-Dec-17 01:37
Re: Let there be Phos :)Doubling a cube 268 DavidK 29-Dec-17 01:52
Re: Let there be Phos :)Doubling a cube 333 magisterchessmutt 29-Dec-17 03:04
Re: Let there be Phos :)Doubling a cube 185 molder 31-Dec-17 22:57
Re: Let there be Phos :) 265 cladking 28-Dec-17 20:36
Re: Let there be Phos :) 226 magisterchessmutt 29-Dec-17 01:47
Re: Let there be Phos :) 202 cladking 29-Dec-17 02:06
Re: Let there be Phos :) 220 cladking 29-Dec-17 23:02
Re: Let there be Phos :) 299 DavidK 29-Dec-17 10:51
Re: Let there be Phos :) Lunar Target Practice 221 magisterchessmutt 30-Dec-17 03:24
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Re: Let there be Phos :) 244 magisterchessmutt 30-Dec-17 04:28
Re: Let there be Phos :) 290 DavidK 30-Dec-17 15:56
Re: Let there be Phos :) 198 magisterchessmutt 31-Dec-17 05:32
Re: Let there be Phos :) 273 DavidK 31-Dec-17 10:28
Re: Let there be Phos :) 221 magisterchessmutt 31-Dec-17 12:18
Re: Let there be Phos :) Lunar Reflections 249 magisterchessmutt 01-Jan-18 11:07
Re: Let there be Phos :) Lunar Reflections 238 DavidK 01-Jan-18 11:40
Re: Let there be Phos :) Lunar Reflections 217 magisterchessmutt 01-Jan-18 13:00
Re: Let there be Phos :) Lunar Reflections 222 DavidK 01-Jan-18 13:39
Re: Let there be Phos :) Lunar Reflections 226 magisterchessmutt 02-Jan-18 04:12
Re: Let there be Phos :) Lunar Reflections 250 DavidK 02-Jan-18 09:34
Re: Let there be Phos :) Lunar Reflections 202 magisterchessmutt 02-Jan-18 12:30
Re: Let there be Phos :) Lunar Reflections 289 DavidK 02-Jan-18 13:20
Re: Let there be Phos :) Lunar Reflections 214 magisterchessmutt 03-Jan-18 03:57
Re: Let there be Phos :) Lunar Reflections 171 molder 03-Jan-18 06:00
Re: Let there be Phos :) Lunar Reflections 180 magisterchessmutt 03-Jan-18 07:04
Re: Let there be Phos :) Lunar Reflections 281 molder 03-Jan-18 08:47
Re:A Canonical alternative 208 cloister 03-Jan-18 10:14
Re: Re:A Canonical alternative 184 magisterchessmutt 03-Jan-18 11:16
Re: Re:A Canonical alternative 187 molder 03-Jan-18 11:46
Re: Re:A Canonical alternative 181 magisterchessmutt 03-Jan-18 12:18
Re: Re:A Canonical alternative 197 molder 03-Jan-18 12:34
Re: Re:A Canonical alternative 187 magisterchessmutt 03-Jan-18 13:19
Re: Re:A Canonical alternative 195 cloister 03-Jan-18 15:20
Re: Re:A Canonical alternative 184 magisterchessmutt 03-Jan-18 16:55
Re: Re:A Canonical alternative 266 cloister 05-Jan-18 17:23
Re: Re:A Canonical alternative 183 Origyptian 06-Jan-18 18:14
Re: Re:A Canonical alternative 198 magisterchessmutt 08-Jan-18 04:45
Re: Re:A Canonical alternative 248 cloister 08-Jan-18 11:25
Re: Re:A Canonical alternative 223 DavidK 03-Jan-18 15:37
Re: Re:A Canonical alternative 183 magisterchessmutt 03-Jan-18 17:31
Re: Re:A Canonical alternative 243 DavidK 03-Jan-18 18:54
Re: Re:A Canonical alternative 190 magisterchessmutt 04-Jan-18 03:04
Re: Re:A Canonical alternative 268 DavidK 04-Jan-18 09:55
Re: Re:A Canonical alternative 131 magisterchessmutt 04-Jan-18 11:20
Re: Re:A Canonical alternative 190 DavidK 04-Jan-18 11:55
Re: Re:A Canonical alternative 275 magisterchessmutt 04-Jan-18 12:13
Re: Re:A Canonical alternative 215 Sirfiroth 07-Jan-18 00:00
Re: Re:A Canonical alternative 232 magisterchessmutt 07-Jan-18 00:46
Re: Re:A Canonical alternative 188 magisterchessmutt 07-Jan-18 07:41
Re: Re:A Canonical alternative 237 cloister 07-Jan-18 09:07
Re: Let there be Phos :) 202 magisterchessmutt 07-Jan-18 16:12
Re: Let there be Phos :) 241 DavidK 07-Jan-18 18:28
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Re: Let there be Phos :) 242 DavidK 07-Jan-18 23:09
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Re: Let there be Phos :) 206 magisterchessmutt 08-Jan-18 04:05
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Re: Let there be Phos :) 183 magisterchessmutt 12-Jan-18 12:25
Re: Let there be Phos :) 227 DavidK 12-Jan-18 14:16
Re: Let there be Phos :) 187 magisterchessmutt 13-Jan-18 11:34
Re: Let there be Phos :) 163 DavidK 13-Jan-18 12:04
Re: Let there be Phos :) 187 magisterchessmutt 13-Jan-18 12:31
Re: Let there be Phos :) 264 DavidK 13-Jan-18 12:47
Let there be Phos at the GP 269 DavidK 17-Jan-18 15:13
Re: Let there be Phos :) 206 DavidK 22-Mar-18 22:50
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Re: Let there be Phos :) 235 DavidK 07-Apr-18 20:01


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