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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 :) 2459 magisterchessmutt 16-Dec-17 03:08
Re: Let there be Phos :) 311 magisterchessmutt 16-Dec-17 14:12
Re: Let there be Phos :) 347 drew 17-Dec-17 02:30
Re: Let there be Phos :) 237 magisterchessmutt 17-Dec-17 14:17
Re: Let there be Phos :) 319 Sirfiroth 17-Dec-17 21:38
Re: Let there be Phos :) 273 magisterchessmutt 17-Dec-17 22:29
Re: Let there be Phos :) 331 Horatech 18-Dec-17 06:12
Re: Let there be Phos :) 239 magisterchessmutt 18-Dec-17 14:03
Re: Let there be Phos :) 339 Horatech 18-Dec-17 23:27
Re: Let there be Phos :) 269 magisterchessmutt 19-Dec-17 02:49
Re: Let there be Phos :) 257 molder 19-Dec-17 05:00
Re: Let there be Phos :) 262 Horatech 19-Dec-17 06:19
Re: Let there be Phos :) 266 magisterchessmutt 19-Dec-17 06:25
Re: Let there be Phos :) 256 molder 19-Dec-17 07:11
Re: Let there be Phos :) 327 magisterchessmutt 19-Dec-17 11:56
Re: Let there be Phos :) 249 Sirfiroth 19-Dec-17 19:32
Re: Let there be Phos :) 312 magisterchessmutt 20-Dec-17 03:00
Re: Let there be Phos :) 228 Sirfiroth 20-Dec-17 16:03
Re: Let there be Phos :) 257 magisterchessmutt 21-Dec-17 06:22
Re: Let there be Phos :) 230 molder 19-Dec-17 22:08
Re: Let there be Phos :) 248 magisterchessmutt 20-Dec-17 02:08
Re: Let there be Phos :) 254 molder 20-Dec-17 20:57
Re: Let there be Phos :) 284 magisterchessmutt 22-Dec-17 02:33
Re: Let there be Phos :) 251 magisterchessmutt 22-Dec-17 04:23
Re: Let there be Phos :) 258 mmstud 22-Dec-17 08:12
Re: Let there be Phos :) 283 magisterchessmutt 22-Dec-17 10:44
Re: Let there be Phos :) 250 mmstud 22-Dec-17 12:26
Re: Let there be Phos :) 342 magisterchessmutt 23-Dec-17 00:47
Re: Let there be Phos :) 336 magisterchessmutt 24-Dec-17 15:20
Re: Let there be Phos :) 335 magisterchessmutt 24-Dec-17 04:07
Re: Let there be Phos :) 273 drew 18-Dec-17 00:51
Re: Let there be Phos :) 260 magisterchessmutt 18-Dec-17 02:11
Re: Let there be Phos :) 354 mmstud 22-Dec-17 14:44
Re: Let there be Phos :)Doubling a cube 335 molder 22-Dec-17 21:21
Re: Let there be Phos :)Doubling a cube 371 molder 23-Dec-17 22:27
Re: Let there be Phos :)Doubling a cube 304 magisterchessmutt 24-Dec-17 01:55
Re: Let there be Phos :)Doubling a cube 309 magisterchessmutt 26-Dec-17 14:53
Re: Let there be Phos :)Doubling a cube 248 molder 26-Dec-17 21:51
Re: Let there be Phos :)Doubling a cube 260 magisterchessmutt 27-Dec-17 03:36
Re: Let there be Phos :)Doubling a cube 231 molder 27-Dec-17 05:02
Re: Let there be Phos :)Doubling a cube 301 magisterchessmutt 27-Dec-17 11:07
Re: Let there be Phos :)Doubling a cube 277 rodz111 29-Dec-17 22:44
Re: Let there be Phos :)Doubling a cube 221 Sirfiroth 28-Dec-17 18:28
Re: Let there be Phos :)Doubling a cube 287 DavidK 28-Dec-17 19:33
Re: Let there be Phos :)Doubling a cube 286 magisterchessmutt 29-Dec-17 02:42
Re: Let there be Phos :)Doubling a cube 336 Sirfiroth 29-Dec-17 14:27
Re: Let there be Phos :)Doubling a cube 287 DavidK 29-Dec-17 15:05
Re: Let there be Phos :)Doubling a cube 289 magisterchessmutt 29-Dec-17 01:37
Re: Let there be Phos :)Doubling a cube 341 DavidK 29-Dec-17 01:52
Re: Let there be Phos :)Doubling a cube 409 magisterchessmutt 29-Dec-17 03:04
Re: Let there be Phos :)Doubling a cube 226 molder 31-Dec-17 22:57
Re: Let there be Phos :) 321 cladking 28-Dec-17 20:36
Re: Let there be Phos :) 288 magisterchessmutt 29-Dec-17 01:47
Re: Let there be Phos :) 272 cladking 29-Dec-17 02:06
Re: Let there be Phos :) 267 cladking 29-Dec-17 23:02
Re: Let there be Phos :) 373 DavidK 29-Dec-17 10:51
Re: Let there be Phos :) Lunar Target Practice 293 magisterchessmutt 30-Dec-17 03:24
Re: Let there be Phos :) 331 DavidK 29-Dec-17 15:22
Re: Let there be Phos :) 303 magisterchessmutt 30-Dec-17 04:28
Re: Let there be Phos :) 356 DavidK 30-Dec-17 15:56
Re: Let there be Phos :) 255 magisterchessmutt 31-Dec-17 05:32
Re: Let there be Phos :) 345 DavidK 31-Dec-17 10:28
Re: Let there be Phos :) 292 magisterchessmutt 31-Dec-17 12:18
Re: Let there be Phos :) Lunar Reflections 322 magisterchessmutt 01-Jan-18 11:07
Re: Let there be Phos :) Lunar Reflections 311 DavidK 01-Jan-18 11:40
Re: Let there be Phos :) Lunar Reflections 296 magisterchessmutt 01-Jan-18 13:00
Re: Let there be Phos :) Lunar Reflections 299 DavidK 01-Jan-18 13:39
Re: Let there be Phos :) Lunar Reflections 286 magisterchessmutt 02-Jan-18 04:12
Re: Let there be Phos :) Lunar Reflections 322 DavidK 02-Jan-18 09:34
Re: Let there be Phos :) Lunar Reflections 253 magisterchessmutt 02-Jan-18 12:30
Re: Let there be Phos :) Lunar Reflections 361 DavidK 02-Jan-18 13:20
Re: Let there be Phos :) Lunar Reflections 257 magisterchessmutt 03-Jan-18 03:57
Re: Let there be Phos :) Lunar Reflections 215 molder 03-Jan-18 06:00
Re: Let there be Phos :) Lunar Reflections 218 magisterchessmutt 03-Jan-18 07:04
Re: Let there be Phos :) Lunar Reflections 350 molder 03-Jan-18 08:47
Re:A Canonical alternative 284 cloister 03-Jan-18 10:14
Re: Re:A Canonical alternative 231 magisterchessmutt 03-Jan-18 11:16
Re: Re:A Canonical alternative 227 molder 03-Jan-18 11:46
Re: Re:A Canonical alternative 219 magisterchessmutt 03-Jan-18 12:18
Re: Re:A Canonical alternative 246 molder 03-Jan-18 12:34
Re: Re:A Canonical alternative 228 magisterchessmutt 03-Jan-18 13:19
Re: Re:A Canonical alternative 246 cloister 03-Jan-18 15:20
Re: Re:A Canonical alternative 234 magisterchessmutt 03-Jan-18 16:55
Re: Re:A Canonical alternative 334 cloister 05-Jan-18 17:23
Re: Re:A Canonical alternative 244 Origyptian 06-Jan-18 18:14
Re: Re:A Canonical alternative 233 magisterchessmutt 08-Jan-18 04:45
Re: Re:A Canonical alternative 302 cloister 08-Jan-18 11:25
Re: Re:A Canonical alternative 276 DavidK 03-Jan-18 15:37
Re: Re:A Canonical alternative 246 magisterchessmutt 03-Jan-18 17:31
Re: Re:A Canonical alternative 294 DavidK 03-Jan-18 18:54
Re: Re:A Canonical alternative 247 magisterchessmutt 04-Jan-18 03:04
Re: Re:A Canonical alternative 346 DavidK 04-Jan-18 09:55
Re: Re:A Canonical alternative 183 magisterchessmutt 04-Jan-18 11:20
Re: Re:A Canonical alternative 243 DavidK 04-Jan-18 11:55
Re: Re:A Canonical alternative 339 magisterchessmutt 04-Jan-18 12:13
Re: Re:A Canonical alternative 260 Sirfiroth 07-Jan-18 00:00
Re: Re:A Canonical alternative 291 magisterchessmutt 07-Jan-18 00:46
Re: Re:A Canonical alternative 236 magisterchessmutt 07-Jan-18 07:41
Re: Re:A Canonical alternative 301 cloister 07-Jan-18 09:07
Re: Let there be Phos :) 253 magisterchessmutt 07-Jan-18 16:12
Re: Let there be Phos :) 302 DavidK 07-Jan-18 18:28
Re: Let there be Phos :) 281 magisterchessmutt 07-Jan-18 22:43
Re: Let there be Phos :) 304 DavidK 07-Jan-18 23:09
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Re: Let there be Phos :) 256 magisterchessmutt 08-Jan-18 03:37
Re: Let there be Phos :) 263 magisterchessmutt 08-Jan-18 04:05
Re: Let there be Phos :) 270 DavidK 08-Jan-18 08:25
Re: Let there be Phos :) 233 magisterchessmutt 08-Jan-18 10:28
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Re: Let there be Phos :) 219 DavidK 08-Jan-18 11:17
Re: Let there be Phos :) 240 magisterchessmutt 08-Jan-18 12:35
Re: Let there be Phos :) 238 DavidK 08-Jan-18 17:45
Re: Let there be Phos :) 235 DavidK 08-Jan-18 19:43
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Re: Let there be Phos :) The Scottish mile 265 molder 10-Jan-18 13:33
Re: Let there be Phos :) The Scottish mile 233 molder 10-Jan-18 13:57
Re: Let there be Phos :) The Scottish mile 218 DavidK 10-Jan-18 15:07
Re: Let there be Phos :) 199 DavidK 10-Jan-18 16:38
Re: Let there be Phos :) 237 DavidK 10-Jan-18 16:46
Re: Let there be Phos :) 261 DavidK 10-Jan-18 21:18
Re: Let there be Phos :) 239 molder 11-Jan-18 21:54
Re: Let there be Phos :) 242 magisterchessmutt 12-Jan-18 10:29
Re: Let there be Phos :) 217 DavidK 12-Jan-18 11:17
Re: Let there be Phos :) 195 DavidK 12-Jan-18 10:40
Re: Let there be Phos :) 213 magisterchessmutt 12-Jan-18 12:01
Re: Let there be Phos :) 236 DavidK 12-Jan-18 13:06
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Re: Let there be Phos :) 230 magisterchessmutt 12-Jan-18 12:25
Re: Let there be Phos :) 279 DavidK 12-Jan-18 14:16
Re: Let there be Phos :) 238 magisterchessmutt 13-Jan-18 11:34
Re: Let there be Phos :) 199 DavidK 13-Jan-18 12:04
Re: Let there be Phos :) 242 magisterchessmutt 13-Jan-18 12:31
Re: Let there be Phos :) 320 DavidK 13-Jan-18 12:47
Let there be Phos at the GP 341 DavidK 17-Jan-18 15:13
Re: Let there be Phos :) 269 DavidK 22-Mar-18 22:50
Re: Let there be Phos :) 308 magisterchessmutt 27-Mar-18 21:19
Re: Let there be Phos :) 305 DavidK 07-Apr-18 20:01


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