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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 :) 2447 magisterchessmutt 16-Dec-17 03:08
Re: Let there be Phos :) 305 magisterchessmutt 16-Dec-17 14:12
Re: Let there be Phos :) 341 drew 17-Dec-17 02:30
Re: Let there be Phos :) 229 magisterchessmutt 17-Dec-17 14:17
Re: Let there be Phos :) 312 Sirfiroth 17-Dec-17 21:38
Re: Let there be Phos :) 266 magisterchessmutt 17-Dec-17 22:29
Re: Let there be Phos :) 327 Horatech 18-Dec-17 06:12
Re: Let there be Phos :) 234 magisterchessmutt 18-Dec-17 14:03
Re: Let there be Phos :) 333 Horatech 18-Dec-17 23:27
Re: Let there be Phos :) 262 magisterchessmutt 19-Dec-17 02:49
Re: Let there be Phos :) 254 molder 19-Dec-17 05:00
Re: Let there be Phos :) 258 Horatech 19-Dec-17 06:19
Re: Let there be Phos :) 261 magisterchessmutt 19-Dec-17 06:25
Re: Let there be Phos :) 251 molder 19-Dec-17 07:11
Re: Let there be Phos :) 323 magisterchessmutt 19-Dec-17 11:56
Re: Let there be Phos :) 245 Sirfiroth 19-Dec-17 19:32
Re: Let there be Phos :) 307 magisterchessmutt 20-Dec-17 03:00
Re: Let there be Phos :) 224 Sirfiroth 20-Dec-17 16:03
Re: Let there be Phos :) 252 magisterchessmutt 21-Dec-17 06:22
Re: Let there be Phos :) 225 molder 19-Dec-17 22:08
Re: Let there be Phos :) 242 magisterchessmutt 20-Dec-17 02:08
Re: Let there be Phos :) 250 molder 20-Dec-17 20:57
Re: Let there be Phos :) 277 magisterchessmutt 22-Dec-17 02:33
Re: Let there be Phos :) 244 magisterchessmutt 22-Dec-17 04:23
Re: Let there be Phos :) 254 mmstud 22-Dec-17 08:12
Re: Let there be Phos :) 278 magisterchessmutt 22-Dec-17 10:44
Re: Let there be Phos :) 245 mmstud 22-Dec-17 12:26
Re: Let there be Phos :) 335 magisterchessmutt 23-Dec-17 00:47
Re: Let there be Phos :) 331 magisterchessmutt 24-Dec-17 15:20
Re: Let there be Phos :) 327 magisterchessmutt 24-Dec-17 04:07
Re: Let there be Phos :) 271 drew 18-Dec-17 00:51
Re: Let there be Phos :) 257 magisterchessmutt 18-Dec-17 02:11
Re: Let there be Phos :) 349 mmstud 22-Dec-17 14:44
Re: Let there be Phos :)Doubling a cube 331 molder 22-Dec-17 21:21
Re: Let there be Phos :)Doubling a cube 365 molder 23-Dec-17 22:27
Re: Let there be Phos :)Doubling a cube 299 magisterchessmutt 24-Dec-17 01:55
Re: Let there be Phos :)Doubling a cube 304 magisterchessmutt 26-Dec-17 14:53
Re: Let there be Phos :)Doubling a cube 245 molder 26-Dec-17 21:51
Re: Let there be Phos :)Doubling a cube 256 magisterchessmutt 27-Dec-17 03:36
Re: Let there be Phos :)Doubling a cube 225 molder 27-Dec-17 05:02
Re: Let there be Phos :)Doubling a cube 296 magisterchessmutt 27-Dec-17 11:07
Re: Let there be Phos :)Doubling a cube 271 rodz111 29-Dec-17 22:44
Re: Let there be Phos :)Doubling a cube 218 Sirfiroth 28-Dec-17 18:28
Re: Let there be Phos :)Doubling a cube 282 DavidK 28-Dec-17 19:33
Re: Let there be Phos :)Doubling a cube 281 magisterchessmutt 29-Dec-17 02:42
Re: Let there be Phos :)Doubling a cube 330 Sirfiroth 29-Dec-17 14:27
Re: Let there be Phos :)Doubling a cube 282 DavidK 29-Dec-17 15:05
Re: Let there be Phos :)Doubling a cube 286 magisterchessmutt 29-Dec-17 01:37
Re: Let there be Phos :)Doubling a cube 336 DavidK 29-Dec-17 01:52
Re: Let there be Phos :)Doubling a cube 406 magisterchessmutt 29-Dec-17 03:04
Re: Let there be Phos :)Doubling a cube 220 molder 31-Dec-17 22:57
Re: Let there be Phos :) 318 cladking 28-Dec-17 20:36
Re: Let there be Phos :) 281 magisterchessmutt 29-Dec-17 01:47
Re: Let there be Phos :) 267 cladking 29-Dec-17 02:06
Re: Let there be Phos :) 263 cladking 29-Dec-17 23:02
Re: Let there be Phos :) 369 DavidK 29-Dec-17 10:51
Re: Let there be Phos :) Lunar Target Practice 282 magisterchessmutt 30-Dec-17 03:24
Re: Let there be Phos :) 324 DavidK 29-Dec-17 15:22
Re: Let there be Phos :) 300 magisterchessmutt 30-Dec-17 04:28
Re: Let there be Phos :) 349 DavidK 30-Dec-17 15:56
Re: Let there be Phos :) 251 magisterchessmutt 31-Dec-17 05:32
Re: Let there be Phos :) 342 DavidK 31-Dec-17 10:28
Re: Let there be Phos :) 289 magisterchessmutt 31-Dec-17 12:18
Re: Let there be Phos :) Lunar Reflections 319 magisterchessmutt 01-Jan-18 11:07
Re: Let there be Phos :) Lunar Reflections 303 DavidK 01-Jan-18 11:40
Re: Let there be Phos :) Lunar Reflections 289 magisterchessmutt 01-Jan-18 13:00
Re: Let there be Phos :) Lunar Reflections 294 DavidK 01-Jan-18 13:39
Re: Let there be Phos :) Lunar Reflections 278 magisterchessmutt 02-Jan-18 04:12
Re: Let there be Phos :) Lunar Reflections 313 DavidK 02-Jan-18 09:34
Re: Let there be Phos :) Lunar Reflections 250 magisterchessmutt 02-Jan-18 12:30
Re: Let there be Phos :) Lunar Reflections 355 DavidK 02-Jan-18 13:20
Re: Let there be Phos :) Lunar Reflections 252 magisterchessmutt 03-Jan-18 03:57
Re: Let there be Phos :) Lunar Reflections 208 molder 03-Jan-18 06:00
Re: Let there be Phos :) Lunar Reflections 214 magisterchessmutt 03-Jan-18 07:04
Re: Let there be Phos :) Lunar Reflections 345 molder 03-Jan-18 08:47
Re:A Canonical alternative 277 cloister 03-Jan-18 10:14
Re: Re:A Canonical alternative 226 magisterchessmutt 03-Jan-18 11:16
Re: Re:A Canonical alternative 226 molder 03-Jan-18 11:46
Re: Re:A Canonical alternative 215 magisterchessmutt 03-Jan-18 12:18
Re: Re:A Canonical alternative 241 molder 03-Jan-18 12:34
Re: Re:A Canonical alternative 224 magisterchessmutt 03-Jan-18 13:19
Re: Re:A Canonical alternative 240 cloister 03-Jan-18 15:20
Re: Re:A Canonical alternative 229 magisterchessmutt 03-Jan-18 16:55
Re: Re:A Canonical alternative 325 cloister 05-Jan-18 17:23
Re: Re:A Canonical alternative 239 Origyptian 06-Jan-18 18:14
Re: Re:A Canonical alternative 231 magisterchessmutt 08-Jan-18 04:45
Re: Re:A Canonical alternative 296 cloister 08-Jan-18 11:25
Re: Re:A Canonical alternative 271 DavidK 03-Jan-18 15:37
Re: Re:A Canonical alternative 243 magisterchessmutt 03-Jan-18 17:31
Re: Re:A Canonical alternative 291 DavidK 03-Jan-18 18:54
Re: Re:A Canonical alternative 238 magisterchessmutt 04-Jan-18 03:04
Re: Re:A Canonical alternative 343 DavidK 04-Jan-18 09:55
Re: Re:A Canonical alternative 178 magisterchessmutt 04-Jan-18 11:20
Re: Re:A Canonical alternative 239 DavidK 04-Jan-18 11:55
Re: Re:A Canonical alternative 332 magisterchessmutt 04-Jan-18 12:13
Re: Re:A Canonical alternative 251 Sirfiroth 07-Jan-18 00:00
Re: Re:A Canonical alternative 285 magisterchessmutt 07-Jan-18 00:46
Re: Re:A Canonical alternative 229 magisterchessmutt 07-Jan-18 07:41
Re: Re:A Canonical alternative 294 cloister 07-Jan-18 09:07
Re: Let there be Phos :) 248 magisterchessmutt 07-Jan-18 16:12
Re: Let there be Phos :) 296 DavidK 07-Jan-18 18:28
Re: Let there be Phos :) 275 magisterchessmutt 07-Jan-18 22:43
Re: Let there be Phos :) 298 DavidK 07-Jan-18 23:09
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Re: Let there be Phos :) 253 magisterchessmutt 08-Jan-18 03:37
Re: Let there be Phos :) 257 magisterchessmutt 08-Jan-18 04:05
Re: Let there be Phos :) 264 DavidK 08-Jan-18 08:25
Re: Let there be Phos :) 229 magisterchessmutt 08-Jan-18 10:28
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Re: Let there be Phos :) 235 magisterchessmutt 08-Jan-18 12:35
Re: Let there be Phos :) 233 DavidK 08-Jan-18 17:45
Re: Let there be Phos :) 229 DavidK 08-Jan-18 19:43
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Re: Let there be Phos :) The Scottish mile 227 molder 10-Jan-18 13:57
Re: Let there be Phos :) The Scottish mile 215 DavidK 10-Jan-18 15:07
Re: Let there be Phos :) 192 DavidK 10-Jan-18 16:38
Re: Let there be Phos :) 229 DavidK 10-Jan-18 16:46
Re: Let there be Phos :) 256 DavidK 10-Jan-18 21:18
Re: Let there be Phos :) 236 molder 11-Jan-18 21:54
Re: Let there be Phos :) 239 magisterchessmutt 12-Jan-18 10:29
Re: Let there be Phos :) 212 DavidK 12-Jan-18 11:17
Re: Let there be Phos :) 191 DavidK 12-Jan-18 10:40
Re: Let there be Phos :) 203 magisterchessmutt 12-Jan-18 12:01
Re: Let there be Phos :) 232 DavidK 12-Jan-18 13:06
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Re: Let there be Phos :) 224 magisterchessmutt 12-Jan-18 12:25
Re: Let there be Phos :) 273 DavidK 12-Jan-18 14:16
Re: Let there be Phos :) 234 magisterchessmutt 13-Jan-18 11:34
Re: Let there be Phos :) 193 DavidK 13-Jan-18 12:04
Re: Let there be Phos :) 237 magisterchessmutt 13-Jan-18 12:31
Re: Let there be Phos :) 316 DavidK 13-Jan-18 12:47
Let there be Phos at the GP 335 DavidK 17-Jan-18 15:13
Re: Let there be Phos :) 263 DavidK 22-Mar-18 22:50
Re: Let there be Phos :) 301 magisterchessmutt 27-Mar-18 21:19
Re: Let there be Phos :) 300 DavidK 07-Apr-18 20:01


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