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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 :) 2548 magisterchessmutt 16-Dec-17 03:08
Re: Let there be Phos :) 369 magisterchessmutt 16-Dec-17 14:12
Re: Let there be Phos :) 415 drew 17-Dec-17 02:30
Re: Let there be Phos :) 280 magisterchessmutt 17-Dec-17 14:17
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Re: Let there be Phos :) 314 magisterchessmutt 17-Dec-17 22:29
Re: Let there be Phos :) 377 Horatech 18-Dec-17 06:12
Re: Let there be Phos :) 289 magisterchessmutt 18-Dec-17 14:03
Re: Let there be Phos :) 394 Horatech 18-Dec-17 23:27
Re: Let there be Phos :) 327 magisterchessmutt 19-Dec-17 02:49
Re: Let there be Phos :) 295 molder 19-Dec-17 05:00
Re: Let there be Phos :) 313 Horatech 19-Dec-17 06:19
Re: Let there be Phos :) 303 magisterchessmutt 19-Dec-17 06:25
Re: Let there be Phos :) 311 molder 19-Dec-17 07:11
Re: Let there be Phos :) 383 magisterchessmutt 19-Dec-17 11:56
Re: Let there be Phos :) 303 Sirfiroth 19-Dec-17 19:32
Re: Let there be Phos :) 359 magisterchessmutt 20-Dec-17 03:00
Re: Let there be Phos :) 273 Sirfiroth 20-Dec-17 16:03
Re: Let there be Phos :) 301 magisterchessmutt 21-Dec-17 06:22
Re: Let there be Phos :) 270 molder 19-Dec-17 22:08
Re: Let there be Phos :) 300 magisterchessmutt 20-Dec-17 02:08
Re: Let there be Phos :) 298 molder 20-Dec-17 20:57
Re: Let there be Phos :) 323 magisterchessmutt 22-Dec-17 02:33
Re: Let there be Phos :) 294 magisterchessmutt 22-Dec-17 04:23
Re: Let there be Phos :) 306 mmstud 22-Dec-17 08:12
Re: Let there be Phos :) 321 magisterchessmutt 22-Dec-17 10:44
Re: Let there be Phos :) 293 mmstud 22-Dec-17 12:26
Re: Let there be Phos :) 396 magisterchessmutt 23-Dec-17 00:47
Re: Let there be Phos :) 423 magisterchessmutt 24-Dec-17 15:20
Re: Let there be Phos :) 386 magisterchessmutt 24-Dec-17 04:07
Re: Let there be Phos :) 320 drew 18-Dec-17 00:51
Re: Let there be Phos :) 332 magisterchessmutt 18-Dec-17 02:11
Re: Let there be Phos :) 428 mmstud 22-Dec-17 14:44
Re: Let there be Phos :)Doubling a cube 397 molder 22-Dec-17 21:21
Re: Let there be Phos :)Doubling a cube 449 molder 23-Dec-17 22:27
Re: Let there be Phos :)Doubling a cube 353 magisterchessmutt 24-Dec-17 01:55
Re: Let there be Phos :)Doubling a cube 367 magisterchessmutt 26-Dec-17 14:53
Re: Let there be Phos :)Doubling a cube 298 molder 26-Dec-17 21:51
Re: Let there be Phos :)Doubling a cube 312 magisterchessmutt 27-Dec-17 03:36
Re: Let there be Phos :)Doubling a cube 299 molder 27-Dec-17 05:02
Re: Let there be Phos :)Doubling a cube 344 magisterchessmutt 27-Dec-17 11:07
Re: Let there be Phos :)Doubling a cube 336 rodz111 29-Dec-17 22:44
Re: Let there be Phos :)Doubling a cube 264 Sirfiroth 28-Dec-17 18:28
Re: Let there be Phos :)Doubling a cube 349 DavidK 28-Dec-17 19:33
Re: Let there be Phos :)Doubling a cube 358 magisterchessmutt 29-Dec-17 02:42
Re: Let there be Phos :)Doubling a cube 400 Sirfiroth 29-Dec-17 14:27
Re: Let there be Phos :)Doubling a cube 337 DavidK 29-Dec-17 15:05
Re: Let there be Phos :)Doubling a cube 354 magisterchessmutt 29-Dec-17 01:37
Re: Let there be Phos :)Doubling a cube 411 DavidK 29-Dec-17 01:52
Re: Let there be Phos :)Doubling a cube 471 magisterchessmutt 29-Dec-17 03:04
Re: Let there be Phos :)Doubling a cube 270 molder 31-Dec-17 22:57
Re: Let there be Phos :) 404 cladking 28-Dec-17 20:36
Re: Let there be Phos :) 344 magisterchessmutt 29-Dec-17 01:47
Re: Let there be Phos :) 334 cladking 29-Dec-17 02:06
Re: Let there be Phos :) 316 cladking 29-Dec-17 23:02
Re: Let there be Phos :) 446 DavidK 29-Dec-17 10:51
Re: Let there be Phos :) Lunar Target Practice 347 magisterchessmutt 30-Dec-17 03:24
Re: Let there be Phos :) 383 DavidK 29-Dec-17 15:22
Re: Let there be Phos :) 343 magisterchessmutt 30-Dec-17 04:28
Re: Let there be Phos :) 415 DavidK 30-Dec-17 15:56
Re: Let there be Phos :) 300 magisterchessmutt 31-Dec-17 05:32
Re: Let there be Phos :) 416 DavidK 31-Dec-17 10:28
Re: Let there be Phos :) 345 magisterchessmutt 31-Dec-17 12:18
Re: Let there be Phos :) Lunar Reflections 361 magisterchessmutt 01-Jan-18 11:07
Re: Let there be Phos :) Lunar Reflections 376 DavidK 01-Jan-18 11:40
Re: Let there be Phos :) Lunar Reflections 353 magisterchessmutt 01-Jan-18 13:00
Re: Let there be Phos :) Lunar Reflections 344 DavidK 01-Jan-18 13:39
Re: Let there be Phos :) Lunar Reflections 340 magisterchessmutt 02-Jan-18 04:12
Re: Let there be Phos :) Lunar Reflections 380 DavidK 02-Jan-18 09:34
Re: Let there be Phos :) Lunar Reflections 308 magisterchessmutt 02-Jan-18 12:30
Re: Let there be Phos :) Lunar Reflections 418 DavidK 02-Jan-18 13:20
Re: Let there be Phos :) Lunar Reflections 301 magisterchessmutt 03-Jan-18 03:57
Re: Let there be Phos :) Lunar Reflections 265 molder 03-Jan-18 06:00
Re: Let there be Phos :) Lunar Reflections 261 magisterchessmutt 03-Jan-18 07:04
Re: Let there be Phos :) Lunar Reflections 406 molder 03-Jan-18 08:47
Re:A Canonical alternative 346 cloister 03-Jan-18 10:14
Re: Re:A Canonical alternative 275 magisterchessmutt 03-Jan-18 11:16
Re: Re:A Canonical alternative 277 molder 03-Jan-18 11:46
Re: Re:A Canonical alternative 264 magisterchessmutt 03-Jan-18 12:18
Re: Re:A Canonical alternative 303 molder 03-Jan-18 12:34
Re: Re:A Canonical alternative 269 magisterchessmutt 03-Jan-18 13:19
Re: Re:A Canonical alternative 294 cloister 03-Jan-18 15:20
Re: Re:A Canonical alternative 279 magisterchessmutt 03-Jan-18 16:55
Re: Re:A Canonical alternative 379 cloister 05-Jan-18 17:23
Re: Re:A Canonical alternative 284 Origyptian 06-Jan-18 18:14
Re: Re:A Canonical alternative 278 magisterchessmutt 08-Jan-18 04:45
Re: Re:A Canonical alternative 347 cloister 08-Jan-18 11:25
Re: Re:A Canonical alternative 323 DavidK 03-Jan-18 15:37
Re: Re:A Canonical alternative 297 magisterchessmutt 03-Jan-18 17:31
Re: Re:A Canonical alternative 341 DavidK 03-Jan-18 18:54
Re: Re:A Canonical alternative 287 magisterchessmutt 04-Jan-18 03:04
Re: Re:A Canonical alternative 407 DavidK 04-Jan-18 09:55
Re: Re:A Canonical alternative 243 magisterchessmutt 04-Jan-18 11:20
Re: Re:A Canonical alternative 300 DavidK 04-Jan-18 11:55
Re: Re:A Canonical alternative 417 magisterchessmutt 04-Jan-18 12:13
Re: Re:A Canonical alternative 307 Sirfiroth 07-Jan-18 00:00
Re: Re:A Canonical alternative 337 magisterchessmutt 07-Jan-18 00:46
Re: Re:A Canonical alternative 288 magisterchessmutt 07-Jan-18 07:41
Re: Re:A Canonical alternative 348 cloister 07-Jan-18 09:07
Re: Let there be Phos :) 317 magisterchessmutt 07-Jan-18 16:12
Re: Let there be Phos :) 368 DavidK 07-Jan-18 18:28
Re: Let there be Phos :) 347 magisterchessmutt 07-Jan-18 22:43
Re: Let there be Phos :) 358 DavidK 07-Jan-18 23:09
Re: Let there be Phos :) 346 DavidK 07-Jan-18 23:53
Re: Let there be Phos :) 304 magisterchessmutt 08-Jan-18 03:37
Re: Let there be Phos :) 314 magisterchessmutt 08-Jan-18 04:05
Re: Let there be Phos :) 310 DavidK 08-Jan-18 08:25
Re: Let there be Phos :) 288 magisterchessmutt 08-Jan-18 10:28
Re: Let there be Phos :) 315 DavidK 08-Jan-18 10:59
Re: Let there be Phos :) 262 DavidK 08-Jan-18 11:17
Re: Let there be Phos :) 281 magisterchessmutt 08-Jan-18 12:35
Re: Let there be Phos :) 296 DavidK 08-Jan-18 17:45
Re: Let there be Phos :) 293 DavidK 08-Jan-18 19:43
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Re: Let there be Phos :) The Scottish mile 318 molder 10-Jan-18 13:33
Re: Let there be Phos :) The Scottish mile 275 molder 10-Jan-18 13:57
Re: Let there be Phos :) The Scottish mile 280 DavidK 10-Jan-18 15:07
Re: Let there be Phos :) 232 DavidK 10-Jan-18 16:38
Re: Let there be Phos :) 271 DavidK 10-Jan-18 16:46
Re: Let there be Phos :) 320 DavidK 10-Jan-18 21:18
Re: Let there be Phos :) 280 molder 11-Jan-18 21:54
Re: Let there be Phos :) 283 magisterchessmutt 12-Jan-18 10:29
Re: Let there be Phos :) 248 DavidK 12-Jan-18 11:17
Re: Let there be Phos :) 241 DavidK 12-Jan-18 10:40
Re: Let there be Phos :) 269 magisterchessmutt 12-Jan-18 12:01
Re: Let there be Phos :) 272 DavidK 12-Jan-18 13:06
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Re: Let there be Phos :) 283 magisterchessmutt 12-Jan-18 12:25
Re: Let there be Phos :) 324 DavidK 12-Jan-18 14:16
Re: Let there be Phos :) 283 magisterchessmutt 13-Jan-18 11:34
Re: Let there be Phos :) 243 DavidK 13-Jan-18 12:04
Re: Let there be Phos :) 290 magisterchessmutt 13-Jan-18 12:31
Re: Let there be Phos :) 374 DavidK 13-Jan-18 12:47
Let there be Phos at the GP 448 DavidK 17-Jan-18 15:13
Re: Let there be Phos :) 311 DavidK 22-Mar-18 22:50
Re: Let there be Phos :) 357 magisterchessmutt 27-Mar-18 21:19
Re: Let there be Phos :) 343 DavidK 07-Apr-18 20:01


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