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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 :) 2641 magisterchessmutt 16-Dec-17 03:08
Re: Let there be Phos :) 449 magisterchessmutt 16-Dec-17 14:12
Re: Let there be Phos :) 465 drew 17-Dec-17 02:30
Re: Let there be Phos :) 327 magisterchessmutt 17-Dec-17 14:17
Re: Let there be Phos :) 426 Sirfiroth 17-Dec-17 21:38
Re: Let there be Phos :) 379 magisterchessmutt 17-Dec-17 22:29
Re: Let there be Phos :) 427 Horatech 18-Dec-17 06:12
Re: Let there be Phos :) 328 magisterchessmutt 18-Dec-17 14:03
Re: Let there be Phos :) 448 Horatech 18-Dec-17 23:27
Re: Let there be Phos :) 374 magisterchessmutt 19-Dec-17 02:49
Re: Let there be Phos :) 347 molder 19-Dec-17 05:00
Re: Let there be Phos :) 365 Horatech 19-Dec-17 06:19
Re: Let there be Phos :) 349 magisterchessmutt 19-Dec-17 06:25
Re: Let there be Phos :) 362 molder 19-Dec-17 07:11
Re: Let there be Phos :) 425 magisterchessmutt 19-Dec-17 11:56
Re: Let there be Phos :) 348 Sirfiroth 19-Dec-17 19:32
Re: Let there be Phos :) 404 magisterchessmutt 20-Dec-17 03:00
Re: Let there be Phos :) 324 Sirfiroth 20-Dec-17 16:03
Re: Let there be Phos :) 349 magisterchessmutt 21-Dec-17 06:22
Re: Let there be Phos :) 318 molder 19-Dec-17 22:08
Re: Let there be Phos :) 355 magisterchessmutt 20-Dec-17 02:08
Re: Let there be Phos :) 346 molder 20-Dec-17 20:57
Re: Let there be Phos :) 371 magisterchessmutt 22-Dec-17 02:33
Re: Let there be Phos :) 353 magisterchessmutt 22-Dec-17 04:23
Re: Let there be Phos :) 357 mmstud 22-Dec-17 08:12
Re: Let there be Phos :) 368 magisterchessmutt 22-Dec-17 10:44
Re: Let there be Phos :) 345 mmstud 22-Dec-17 12:26
Re: Let there be Phos :) 439 magisterchessmutt 23-Dec-17 00:47
Re: Let there be Phos :) 482 magisterchessmutt 24-Dec-17 15:20
Re: Let there be Phos :) 433 magisterchessmutt 24-Dec-17 04:07
Re: Let there be Phos :) 369 drew 18-Dec-17 00:51
Re: Let there be Phos :) 376 magisterchessmutt 18-Dec-17 02:11
Re: Let there be Phos :) 487 mmstud 22-Dec-17 14:44
Re: Let there be Phos :)Doubling a cube 453 molder 22-Dec-17 21:21
Re: Let there be Phos :)Doubling a cube 509 molder 23-Dec-17 22:27
Re: Let there be Phos :)Doubling a cube 407 magisterchessmutt 24-Dec-17 01:55
Re: Let there be Phos :)Doubling a cube 446 magisterchessmutt 26-Dec-17 14:53
Re: Let there be Phos :)Doubling a cube 340 molder 26-Dec-17 21:51
Re: Let there be Phos :)Doubling a cube 362 magisterchessmutt 27-Dec-17 03:36
Re: Let there be Phos :)Doubling a cube 343 molder 27-Dec-17 05:02
Re: Let there be Phos :)Doubling a cube 388 magisterchessmutt 27-Dec-17 11:07
Re: Let there be Phos :)Doubling a cube 387 rodz111 29-Dec-17 22:44
Re: Let there be Phos :)Doubling a cube 313 Sirfiroth 28-Dec-17 18:28
Re: Let there be Phos :)Doubling a cube 404 DavidK 28-Dec-17 19:33
Re: Let there be Phos :)Doubling a cube 409 magisterchessmutt 29-Dec-17 02:42
Re: Let there be Phos :)Doubling a cube 445 Sirfiroth 29-Dec-17 14:27
Re: Let there be Phos :)Doubling a cube 384 DavidK 29-Dec-17 15:05
Re: Let there be Phos :)Doubling a cube 412 magisterchessmutt 29-Dec-17 01:37
Re: Let there be Phos :)Doubling a cube 511 DavidK 29-Dec-17 01:52
Re: Let there be Phos :)Doubling a cube 581 magisterchessmutt 29-Dec-17 03:04
Re: Let there be Phos :)Doubling a cube 323 molder 31-Dec-17 22:57
Re: Let there be Phos :) 452 cladking 28-Dec-17 20:36
Re: Let there be Phos :) 391 magisterchessmutt 29-Dec-17 01:47
Re: Let there be Phos :) 381 cladking 29-Dec-17 02:06
Re: Let there be Phos :) 363 cladking 29-Dec-17 23:02
Re: Let there be Phos :) 499 DavidK 29-Dec-17 10:51
Re: Let there be Phos :) Lunar Target Practice 394 magisterchessmutt 30-Dec-17 03:24
Re: Let there be Phos :) 430 DavidK 29-Dec-17 15:22
Re: Let there be Phos :) 390 magisterchessmutt 30-Dec-17 04:28
Re: Let there be Phos :) 492 DavidK 30-Dec-17 15:56
Re: Let there be Phos :) 345 magisterchessmutt 31-Dec-17 05:32
Re: Let there be Phos :) 469 DavidK 31-Dec-17 10:28
Re: Let there be Phos :) 395 magisterchessmutt 31-Dec-17 12:18
Re: Let there be Phos :) Lunar Reflections 454 magisterchessmutt 01-Jan-18 11:07
Re: Let there be Phos :) Lunar Reflections 435 DavidK 01-Jan-18 11:40
Re: Let there be Phos :) Lunar Reflections 406 magisterchessmutt 01-Jan-18 13:00
Re: Let there be Phos :) Lunar Reflections 394 DavidK 01-Jan-18 13:39
Re: Let there be Phos :) Lunar Reflections 384 magisterchessmutt 02-Jan-18 04:12
Re: Let there be Phos :) Lunar Reflections 436 DavidK 02-Jan-18 09:34
Re: Let there be Phos :) Lunar Reflections 361 magisterchessmutt 02-Jan-18 12:30
Re: Let there be Phos :) Lunar Reflections 472 DavidK 02-Jan-18 13:20
Re: Let there be Phos :) Lunar Reflections 347 magisterchessmutt 03-Jan-18 03:57
Re: Let there be Phos :) Lunar Reflections 315 molder 03-Jan-18 06:00
Re: Let there be Phos :) Lunar Reflections 309 magisterchessmutt 03-Jan-18 07:04
Re: Let there be Phos :) Lunar Reflections 458 molder 03-Jan-18 08:47
Re:A Canonical alternative 395 cloister 03-Jan-18 10:14
Re: Re:A Canonical alternative 325 magisterchessmutt 03-Jan-18 11:16
Re: Re:A Canonical alternative 326 molder 03-Jan-18 11:46
Re: Re:A Canonical alternative 310 magisterchessmutt 03-Jan-18 12:18
Re: Re:A Canonical alternative 352 molder 03-Jan-18 12:34
Re: Re:A Canonical alternative 320 magisterchessmutt 03-Jan-18 13:19
Re: Re:A Canonical alternative 343 cloister 03-Jan-18 15:20
Re: Re:A Canonical alternative 328 magisterchessmutt 03-Jan-18 16:55
Re: Re:A Canonical alternative 429 cloister 05-Jan-18 17:23
Re: Re:A Canonical alternative 325 Origyptian 06-Jan-18 18:14
Re: Re:A Canonical alternative 322 magisterchessmutt 08-Jan-18 04:45
Re: Re:A Canonical alternative 394 cloister 08-Jan-18 11:25
Re: Re:A Canonical alternative 372 DavidK 03-Jan-18 15:37
Re: Re:A Canonical alternative 348 magisterchessmutt 03-Jan-18 17:31
Re: Re:A Canonical alternative 394 DavidK 03-Jan-18 18:54
Re: Re:A Canonical alternative 330 magisterchessmutt 04-Jan-18 03:04
Re: Re:A Canonical alternative 460 DavidK 04-Jan-18 09:55
Re: Re:A Canonical alternative 297 magisterchessmutt 04-Jan-18 11:20
Re: Re:A Canonical alternative 380 DavidK 04-Jan-18 11:55
Re: Re:A Canonical alternative 462 magisterchessmutt 04-Jan-18 12:13
Re: Re:A Canonical alternative 357 Sirfiroth 07-Jan-18 00:00
Re: Re:A Canonical alternative 385 magisterchessmutt 07-Jan-18 00:46
Re: Re:A Canonical alternative 341 magisterchessmutt 07-Jan-18 07:41
Re: Re:A Canonical alternative 396 cloister 07-Jan-18 09:07
Re: Let there be Phos :) 379 magisterchessmutt 07-Jan-18 16:12
Re: Let there be Phos :) 419 DavidK 07-Jan-18 18:28
Re: Let there be Phos :) 403 magisterchessmutt 07-Jan-18 22:43
Re: Let there be Phos :) 411 DavidK 07-Jan-18 23:09
Re: Let there be Phos :) 402 DavidK 07-Jan-18 23:53
Re: Let there be Phos :) 366 magisterchessmutt 08-Jan-18 03:37
Re: Let there be Phos :) 362 magisterchessmutt 08-Jan-18 04:05
Re: Let there be Phos :) 361 DavidK 08-Jan-18 08:25
Re: Let there be Phos :) 335 magisterchessmutt 08-Jan-18 10:28
Re: Let there be Phos :) 366 DavidK 08-Jan-18 10:59
Re: Let there be Phos :) 312 DavidK 08-Jan-18 11:17
Re: Let there be Phos :) 328 magisterchessmutt 08-Jan-18 12:35
Re: Let there be Phos :) 346 DavidK 08-Jan-18 17:45
Re: Let there be Phos :) 339 DavidK 08-Jan-18 19:43
Re: Let there be Phos :) 425 magisterchessmutt 09-Jan-18 03:46
Re: Let there be Phos :) 362 DavidK 09-Jan-18 18:21
Re: Let there be Phos :) The Scottish mile 364 molder 10-Jan-18 13:33
Re: Let there be Phos :) The Scottish mile 316 molder 10-Jan-18 13:57
Re: Let there be Phos :) The Scottish mile 317 DavidK 10-Jan-18 15:07
Re: Let there be Phos :) 272 DavidK 10-Jan-18 16:38
Re: Let there be Phos :) 308 DavidK 10-Jan-18 16:46
Re: Let there be Phos :) 359 DavidK 10-Jan-18 21:18
Re: Let there be Phos :) 341 molder 11-Jan-18 21:54
Re: Let there be Phos :) 331 magisterchessmutt 12-Jan-18 10:29
Re: Let there be Phos :) 294 DavidK 12-Jan-18 11:17
Re: Let there be Phos :) 284 DavidK 12-Jan-18 10:40
Re: Let there be Phos :) 314 magisterchessmutt 12-Jan-18 12:01
Re: Let there be Phos :) 317 DavidK 12-Jan-18 13:06
Re: Let there be Phos :) 287 DavidK 12-Jan-18 12:06
Re: Let there be Phos :) 336 magisterchessmutt 12-Jan-18 12:25
Re: Let there be Phos :) 375 DavidK 12-Jan-18 14:16
Re: Let there be Phos :) 331 magisterchessmutt 13-Jan-18 11:34
Re: Let there be Phos :) 286 DavidK 13-Jan-18 12:04
Re: Let there be Phos :) 333 magisterchessmutt 13-Jan-18 12:31
Re: Let there be Phos :) 468 DavidK 13-Jan-18 12:47
Let there be Phos at the GP 492 DavidK 17-Jan-18 15:13
Re: Let there be Phos :) 352 DavidK 22-Mar-18 22:50
Re: Let there be Phos :) 403 magisterchessmutt 27-Mar-18 21:19
Re: Let there be Phos :) 382 DavidK 07-Apr-18 20:01


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