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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 :) 2687 magisterchessmutt 16-Dec-17 03:08
Re: Let there be Phos :) 490 magisterchessmutt 16-Dec-17 14:12
Re: Let there be Phos :) 489 drew 17-Dec-17 02:30
Re: Let there be Phos :) 352 magisterchessmutt 17-Dec-17 14:17
Re: Let there be Phos :) 447 Sirfiroth 17-Dec-17 21:38
Re: Let there be Phos :) 421 magisterchessmutt 17-Dec-17 22:29
Re: Let there be Phos :) 466 Horatech 18-Dec-17 06:12
Re: Let there be Phos :) 353 magisterchessmutt 18-Dec-17 14:03
Re: Let there be Phos :) 489 Horatech 18-Dec-17 23:27
Re: Let there be Phos :) 393 magisterchessmutt 19-Dec-17 02:49
Re: Let there be Phos :) 373 molder 19-Dec-17 05:00
Re: Let there be Phos :) 403 Horatech 19-Dec-17 06:19
Re: Let there be Phos :) 381 magisterchessmutt 19-Dec-17 06:25
Re: Let there be Phos :) 390 molder 19-Dec-17 07:11
Re: Let there be Phos :) 448 magisterchessmutt 19-Dec-17 11:56
Re: Let there be Phos :) 371 Sirfiroth 19-Dec-17 19:32
Re: Let there be Phos :) 430 magisterchessmutt 20-Dec-17 03:00
Re: Let there be Phos :) 346 Sirfiroth 20-Dec-17 16:03
Re: Let there be Phos :) 379 magisterchessmutt 21-Dec-17 06:22
Re: Let there be Phos :) 341 molder 19-Dec-17 22:08
Re: Let there be Phos :) 396 magisterchessmutt 20-Dec-17 02:08
Re: Let there be Phos :) 369 molder 20-Dec-17 20:57
Re: Let there be Phos :) 398 magisterchessmutt 22-Dec-17 02:33
Re: Let there be Phos :) 415 magisterchessmutt 22-Dec-17 04:23
Re: Let there be Phos :) 395 mmstud 22-Dec-17 08:12
Re: Let there be Phos :) 394 magisterchessmutt 22-Dec-17 10:44
Re: Let there be Phos :) 382 mmstud 22-Dec-17 12:26
Re: Let there be Phos :) 463 magisterchessmutt 23-Dec-17 00:47
Re: Let there be Phos :) 512 magisterchessmutt 24-Dec-17 15:20
Re: Let there be Phos :) 457 magisterchessmutt 24-Dec-17 04:07
Re: Let there be Phos :) 392 drew 18-Dec-17 00:51
Re: Let there be Phos :) 400 magisterchessmutt 18-Dec-17 02:11
Re: Let there be Phos :) 524 mmstud 22-Dec-17 14:44
Re: Let there be Phos :)Doubling a cube 477 molder 22-Dec-17 21:21
Re: Let there be Phos :)Doubling a cube 545 molder 23-Dec-17 22:27
Re: Let there be Phos :)Doubling a cube 430 magisterchessmutt 24-Dec-17 01:55
Re: Let there be Phos :)Doubling a cube 480 magisterchessmutt 26-Dec-17 14:53
Re: Let there be Phos :)Doubling a cube 364 molder 26-Dec-17 21:51
Re: Let there be Phos :)Doubling a cube 451 magisterchessmutt 27-Dec-17 03:36
Re: Let there be Phos :)Doubling a cube 370 molder 27-Dec-17 05:02
Re: Let there be Phos :)Doubling a cube 413 magisterchessmutt 27-Dec-17 11:07
Re: Let there be Phos :)Doubling a cube 421 rodz111 29-Dec-17 22:44
Re: Let there be Phos :)Doubling a cube 337 Sirfiroth 28-Dec-17 18:28
Re: Let there be Phos :)Doubling a cube 431 DavidK 28-Dec-17 19:33
Re: Let there be Phos :)Doubling a cube 439 magisterchessmutt 29-Dec-17 02:42
Re: Let there be Phos :)Doubling a cube 473 Sirfiroth 29-Dec-17 14:27
Re: Let there be Phos :)Doubling a cube 414 DavidK 29-Dec-17 15:05
Re: Let there be Phos :)Doubling a cube 445 magisterchessmutt 29-Dec-17 01:37
Re: Let there be Phos :)Doubling a cube 592 DavidK 29-Dec-17 01:52
Re: Let there be Phos :)Doubling a cube 679 magisterchessmutt 29-Dec-17 03:04
Re: Let there be Phos :)Doubling a cube 353 molder 31-Dec-17 22:57
Re: Let there be Phos :) 478 cladking 28-Dec-17 20:36
Re: Let there be Phos :) 423 magisterchessmutt 29-Dec-17 01:47
Re: Let there be Phos :) 421 cladking 29-Dec-17 02:06
Re: Let there be Phos :) 386 cladking 29-Dec-17 23:02
Re: Let there be Phos :) 530 DavidK 29-Dec-17 10:51
Re: Let there be Phos :) Lunar Target Practice 424 magisterchessmutt 30-Dec-17 03:24
Re: Let there be Phos :) 460 DavidK 29-Dec-17 15:22
Re: Let there be Phos :) 423 magisterchessmutt 30-Dec-17 04:28
Re: Let there be Phos :) 561 DavidK 30-Dec-17 15:56
Re: Let there be Phos :) 370 magisterchessmutt 31-Dec-17 05:32
Re: Let there be Phos :) 494 DavidK 31-Dec-17 10:28
Re: Let there be Phos :) 419 magisterchessmutt 31-Dec-17 12:18
Re: Let there be Phos :) Lunar Reflections 526 magisterchessmutt 01-Jan-18 11:07
Re: Let there be Phos :) Lunar Reflections 464 DavidK 01-Jan-18 11:40
Re: Let there be Phos :) Lunar Reflections 431 magisterchessmutt 01-Jan-18 13:00
Re: Let there be Phos :) Lunar Reflections 426 DavidK 01-Jan-18 13:39
Re: Let there be Phos :) Lunar Reflections 413 magisterchessmutt 02-Jan-18 04:12
Re: Let there be Phos :) Lunar Reflections 490 DavidK 02-Jan-18 09:34
Re: Let there be Phos :) Lunar Reflections 419 magisterchessmutt 02-Jan-18 12:30
Re: Let there be Phos :) Lunar Reflections 506 DavidK 02-Jan-18 13:20
Re: Let there be Phos :) Lunar Reflections 372 magisterchessmutt 03-Jan-18 03:57
Re: Let there be Phos :) Lunar Reflections 340 molder 03-Jan-18 06:00
Re: Let there be Phos :) Lunar Reflections 338 magisterchessmutt 03-Jan-18 07:04
Re: Let there be Phos :) Lunar Reflections 492 molder 03-Jan-18 08:47
Re:A Canonical alternative 427 cloister 03-Jan-18 10:14
Re: Re:A Canonical alternative 350 magisterchessmutt 03-Jan-18 11:16
Re: Re:A Canonical alternative 386 molder 03-Jan-18 11:46
Re: Re:A Canonical alternative 339 magisterchessmutt 03-Jan-18 12:18
Re: Re:A Canonical alternative 374 molder 03-Jan-18 12:34
Re: Re:A Canonical alternative 346 magisterchessmutt 03-Jan-18 13:19
Re: Re:A Canonical alternative 371 cloister 03-Jan-18 15:20
Re: Re:A Canonical alternative 352 magisterchessmutt 03-Jan-18 16:55
Re: Re:A Canonical alternative 457 cloister 05-Jan-18 17:23
Re: Re:A Canonical alternative 350 Origyptian 06-Jan-18 18:14
Re: Re:A Canonical alternative 345 magisterchessmutt 08-Jan-18 04:45
Re: Re:A Canonical alternative 420 cloister 08-Jan-18 11:25
Re: Re:A Canonical alternative 396 DavidK 03-Jan-18 15:37
Re: Re:A Canonical alternative 374 magisterchessmutt 03-Jan-18 17:31
Re: Re:A Canonical alternative 420 DavidK 03-Jan-18 18:54
Re: Re:A Canonical alternative 394 magisterchessmutt 04-Jan-18 03:04
Re: Re:A Canonical alternative 488 DavidK 04-Jan-18 09:55
Re: Re:A Canonical alternative 323 magisterchessmutt 04-Jan-18 11:20
Re: Re:A Canonical alternative 411 DavidK 04-Jan-18 11:55
Re: Re:A Canonical alternative 489 magisterchessmutt 04-Jan-18 12:13
Re: Re:A Canonical alternative 378 Sirfiroth 07-Jan-18 00:00
Re: Re:A Canonical alternative 415 magisterchessmutt 07-Jan-18 00:46
Re: Re:A Canonical alternative 368 magisterchessmutt 07-Jan-18 07:41
Re: Re:A Canonical alternative 424 cloister 07-Jan-18 09:07
Re: Let there be Phos :) 428 magisterchessmutt 07-Jan-18 16:12
Re: Let there be Phos :) 446 DavidK 07-Jan-18 18:28
Re: Let there be Phos :) 431 magisterchessmutt 07-Jan-18 22:43
Re: Let there be Phos :) 475 DavidK 07-Jan-18 23:09
Re: Let there be Phos :) 429 DavidK 07-Jan-18 23:53
Re: Let there be Phos :) 395 magisterchessmutt 08-Jan-18 03:37
Re: Let there be Phos :) 389 magisterchessmutt 08-Jan-18 04:05
Re: Let there be Phos :) 390 DavidK 08-Jan-18 08:25
Re: Let there be Phos :) 362 magisterchessmutt 08-Jan-18 10:28
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Re: Let there be Phos :) 339 DavidK 08-Jan-18 11:17
Re: Let there be Phos :) 355 magisterchessmutt 08-Jan-18 12:35
Re: Let there be Phos :) 368 DavidK 08-Jan-18 17:45
Re: Let there be Phos :) 363 DavidK 08-Jan-18 19:43
Re: Let there be Phos :) 452 magisterchessmutt 09-Jan-18 03:46
Re: Let there be Phos :) 387 DavidK 09-Jan-18 18:21
Re: Let there be Phos :) The Scottish mile 389 molder 10-Jan-18 13:33
Re: Let there be Phos :) The Scottish mile 341 molder 10-Jan-18 13:57
Re: Let there be Phos :) The Scottish mile 345 DavidK 10-Jan-18 15:07
Re: Let there be Phos :) 302 DavidK 10-Jan-18 16:38
Re: Let there be Phos :) 335 DavidK 10-Jan-18 16:46
Re: Let there be Phos :) 387 DavidK 10-Jan-18 21:18
Re: Let there be Phos :) 382 molder 11-Jan-18 21:54
Re: Let there be Phos :) 356 magisterchessmutt 12-Jan-18 10:29
Re: Let there be Phos :) 319 DavidK 12-Jan-18 11:17
Re: Let there be Phos :) 317 DavidK 12-Jan-18 10:40
Re: Let there be Phos :) 342 magisterchessmutt 12-Jan-18 12:01
Re: Let there be Phos :) 344 DavidK 12-Jan-18 13:06
Re: Let there be Phos :) 312 DavidK 12-Jan-18 12:06
Re: Let there be Phos :) 395 magisterchessmutt 12-Jan-18 12:25
Re: Let there be Phos :) 404 DavidK 12-Jan-18 14:16
Re: Let there be Phos :) 359 magisterchessmutt 13-Jan-18 11:34
Re: Let there be Phos :) 313 DavidK 13-Jan-18 12:04
Re: Let there be Phos :) 359 magisterchessmutt 13-Jan-18 12:31
Re: Let there be Phos :) 579 DavidK 13-Jan-18 12:47
Let there be Phos at the GP 521 DavidK 17-Jan-18 15:13
Re: Let there be Phos :) 380 DavidK 22-Mar-18 22:50
Re: Let there be Phos :) 430 magisterchessmutt 27-Mar-18 21:19
Re: Let there be Phos :) 410 DavidK 07-Apr-18 20:01


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