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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 :) 2340 magisterchessmutt 16-Dec-17 03:08
Re: Let there be Phos :) 249 magisterchessmutt 16-Dec-17 14:12
Re: Let there be Phos :) 295 drew 17-Dec-17 02:30
Re: Let there be Phos :) 185 magisterchessmutt 17-Dec-17 14:17
Re: Let there be Phos :) 262 Sirfiroth 17-Dec-17 21:38
Re: Let there be Phos :) 215 magisterchessmutt 17-Dec-17 22:29
Re: Let there be Phos :) 290 Horatech 18-Dec-17 06:12
Re: Let there be Phos :) 195 magisterchessmutt 18-Dec-17 14:03
Re: Let there be Phos :) 262 Horatech 18-Dec-17 23:27
Re: Let there be Phos :) 233 magisterchessmutt 19-Dec-17 02:49
Re: Let there be Phos :) 225 molder 19-Dec-17 05:00
Re: Let there be Phos :) 209 Horatech 19-Dec-17 06:19
Re: Let there be Phos :) 226 magisterchessmutt 19-Dec-17 06:25
Re: Let there be Phos :) 214 molder 19-Dec-17 07:11
Re: Let there be Phos :) 282 magisterchessmutt 19-Dec-17 11:56
Re: Let there be Phos :) 216 Sirfiroth 19-Dec-17 19:32
Re: Let there be Phos :) 251 magisterchessmutt 20-Dec-17 03:00
Re: Let there be Phos :) 189 Sirfiroth 20-Dec-17 16:03
Re: Let there be Phos :) 219 magisterchessmutt 21-Dec-17 06:22
Re: Let there be Phos :) 197 molder 19-Dec-17 22:08
Re: Let there be Phos :) 210 magisterchessmutt 20-Dec-17 02:08
Re: Let there be Phos :) 221 molder 20-Dec-17 20:57
Re: Let there be Phos :) 241 magisterchessmutt 22-Dec-17 02:33
Re: Let there be Phos :) 197 magisterchessmutt 22-Dec-17 04:23
Re: Let there be Phos :) 227 mmstud 22-Dec-17 08:12
Re: Let there be Phos :) 251 magisterchessmutt 22-Dec-17 10:44
Re: Let there be Phos :) 215 mmstud 22-Dec-17 12:26
Re: Let there be Phos :) 295 magisterchessmutt 23-Dec-17 00:47
Re: Let there be Phos :) 287 magisterchessmutt 24-Dec-17 15:20
Re: Let there be Phos :) 288 magisterchessmutt 24-Dec-17 04:07
Re: Let there be Phos :) 225 drew 18-Dec-17 00:51
Re: Let there be Phos :) 220 magisterchessmutt 18-Dec-17 02:11
Re: Let there be Phos :) 316 mmstud 22-Dec-17 14:44
Re: Let there be Phos :)Doubling a cube 297 molder 22-Dec-17 21:21
Re: Let there be Phos :)Doubling a cube 313 molder 23-Dec-17 22:27
Re: Let there be Phos :)Doubling a cube 247 magisterchessmutt 24-Dec-17 01:55
Re: Let there be Phos :)Doubling a cube 259 magisterchessmutt 26-Dec-17 14:53
Re: Let there be Phos :)Doubling a cube 204 molder 26-Dec-17 21:51
Re: Let there be Phos :)Doubling a cube 213 magisterchessmutt 27-Dec-17 03:36
Re: Let there be Phos :)Doubling a cube 189 molder 27-Dec-17 05:02
Re: Let there be Phos :)Doubling a cube 256 magisterchessmutt 27-Dec-17 11:07
Re: Let there be Phos :)Doubling a cube 215 rodz111 29-Dec-17 22:44
Re: Let there be Phos :)Doubling a cube 185 Sirfiroth 28-Dec-17 18:28
Re: Let there be Phos :)Doubling a cube 238 DavidK 28-Dec-17 19:33
Re: Let there be Phos :)Doubling a cube 231 magisterchessmutt 29-Dec-17 02:42
Re: Let there be Phos :)Doubling a cube 284 Sirfiroth 29-Dec-17 14:27
Re: Let there be Phos :)Doubling a cube 232 DavidK 29-Dec-17 15:05
Re: Let there be Phos :)Doubling a cube 240 magisterchessmutt 29-Dec-17 01:37
Re: Let there be Phos :)Doubling a cube 284 DavidK 29-Dec-17 01:52
Re: Let there be Phos :)Doubling a cube 351 magisterchessmutt 29-Dec-17 03:04
Re: Let there be Phos :)Doubling a cube 193 molder 31-Dec-17 22:57
Re: Let there be Phos :) 279 cladking 28-Dec-17 20:36
Re: Let there be Phos :) 234 magisterchessmutt 29-Dec-17 01:47
Re: Let there be Phos :) 222 cladking 29-Dec-17 02:06
Re: Let there be Phos :) 233 cladking 29-Dec-17 23:02
Re: Let there be Phos :) 314 DavidK 29-Dec-17 10:51
Re: Let there be Phos :) Lunar Target Practice 231 magisterchessmutt 30-Dec-17 03:24
Re: Let there be Phos :) 268 DavidK 29-Dec-17 15:22
Re: Let there be Phos :) 266 magisterchessmutt 30-Dec-17 04:28
Re: Let there be Phos :) 312 DavidK 30-Dec-17 15:56
Re: Let there be Phos :) 211 magisterchessmutt 31-Dec-17 05:32
Re: Let there be Phos :) 295 DavidK 31-Dec-17 10:28
Re: Let there be Phos :) 245 magisterchessmutt 31-Dec-17 12:18
Re: Let there be Phos :) Lunar Reflections 268 magisterchessmutt 01-Jan-18 11:07
Re: Let there be Phos :) Lunar Reflections 255 DavidK 01-Jan-18 11:40
Re: Let there be Phos :) Lunar Reflections 227 magisterchessmutt 01-Jan-18 13:00
Re: Let there be Phos :) Lunar Reflections 247 DavidK 01-Jan-18 13:39
Re: Let there be Phos :) Lunar Reflections 237 magisterchessmutt 02-Jan-18 04:12
Re: Let there be Phos :) Lunar Reflections 267 DavidK 02-Jan-18 09:34
Re: Let there be Phos :) Lunar Reflections 212 magisterchessmutt 02-Jan-18 12:30
Re: Let there be Phos :) Lunar Reflections 308 DavidK 02-Jan-18 13:20
Re: Let there be Phos :) Lunar Reflections 220 magisterchessmutt 03-Jan-18 03:57
Re: Let there be Phos :) Lunar Reflections 179 molder 03-Jan-18 06:00
Re: Let there be Phos :) Lunar Reflections 185 magisterchessmutt 03-Jan-18 07:04
Re: Let there be Phos :) Lunar Reflections 303 molder 03-Jan-18 08:47
Re:A Canonical alternative 220 cloister 03-Jan-18 10:14
Re: Re:A Canonical alternative 198 magisterchessmutt 03-Jan-18 11:16
Re: Re:A Canonical alternative 195 molder 03-Jan-18 11:46
Re: Re:A Canonical alternative 186 magisterchessmutt 03-Jan-18 12:18
Re: Re:A Canonical alternative 204 molder 03-Jan-18 12:34
Re: Re:A Canonical alternative 193 magisterchessmutt 03-Jan-18 13:19
Re: Re:A Canonical alternative 205 cloister 03-Jan-18 15:20
Re: Re:A Canonical alternative 195 magisterchessmutt 03-Jan-18 16:55
Re: Re:A Canonical alternative 280 cloister 05-Jan-18 17:23
Re: Re:A Canonical alternative 191 Origyptian 06-Jan-18 18:14
Re: Re:A Canonical alternative 205 magisterchessmutt 08-Jan-18 04:45
Re: Re:A Canonical alternative 257 cloister 08-Jan-18 11:25
Re: Re:A Canonical alternative 239 DavidK 03-Jan-18 15:37
Re: Re:A Canonical alternative 202 magisterchessmutt 03-Jan-18 17:31
Re: Re:A Canonical alternative 253 DavidK 03-Jan-18 18:54
Re: Re:A Canonical alternative 197 magisterchessmutt 04-Jan-18 03:04
Re: Re:A Canonical alternative 285 DavidK 04-Jan-18 09:55
Re: Re:A Canonical alternative 146 magisterchessmutt 04-Jan-18 11:20
Re: Re:A Canonical alternative 198 DavidK 04-Jan-18 11:55
Re: Re:A Canonical alternative 284 magisterchessmutt 04-Jan-18 12:13
Re: Re:A Canonical alternative 221 Sirfiroth 07-Jan-18 00:00
Re: Re:A Canonical alternative 244 magisterchessmutt 07-Jan-18 00:46
Re: Re:A Canonical alternative 196 magisterchessmutt 07-Jan-18 07:41
Re: Re:A Canonical alternative 248 cloister 07-Jan-18 09:07
Re: Let there be Phos :) 208 magisterchessmutt 07-Jan-18 16:12
Re: Let there be Phos :) 250 DavidK 07-Jan-18 18:28
Re: Let there be Phos :) 226 magisterchessmutt 07-Jan-18 22:43
Re: Let there be Phos :) 251 DavidK 07-Jan-18 23:09
Re: Let there be Phos :) 229 DavidK 07-Jan-18 23:53
Re: Let there be Phos :) 218 magisterchessmutt 08-Jan-18 03:37
Re: Let there be Phos :) 220 magisterchessmutt 08-Jan-18 04:05
Re: Let there be Phos :) 231 DavidK 08-Jan-18 08:25
Re: Let there be Phos :) 195 magisterchessmutt 08-Jan-18 10:28
Re: Let there be Phos :) 241 DavidK 08-Jan-18 10:59
Re: Let there be Phos :) 183 DavidK 08-Jan-18 11:17
Re: Let there be Phos :) 200 magisterchessmutt 08-Jan-18 12:35
Re: Let there be Phos :) 204 DavidK 08-Jan-18 17:45
Re: Let there be Phos :) 185 DavidK 08-Jan-18 19:43
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Re: Let there be Phos :) The Scottish mile 233 molder 10-Jan-18 13:33
Re: Let there be Phos :) The Scottish mile 182 molder 10-Jan-18 13:57
Re: Let there be Phos :) The Scottish mile 176 DavidK 10-Jan-18 15:07
Re: Let there be Phos :) 164 DavidK 10-Jan-18 16:38
Re: Let there be Phos :) 188 DavidK 10-Jan-18 16:46
Re: Let there be Phos :) 220 DavidK 10-Jan-18 21:18
Re: Let there be Phos :) 194 molder 11-Jan-18 21:54
Re: Let there be Phos :) 209 magisterchessmutt 12-Jan-18 10:29
Re: Let there be Phos :) 187 DavidK 12-Jan-18 11:17
Re: Let there be Phos :) 162 DavidK 12-Jan-18 10:40
Re: Let there be Phos :) 168 magisterchessmutt 12-Jan-18 12:01
Re: Let there be Phos :) 205 DavidK 12-Jan-18 13:06
Re: Let there be Phos :) 163 DavidK 12-Jan-18 12:06
Re: Let there be Phos :) 190 magisterchessmutt 12-Jan-18 12:25
Re: Let there be Phos :) 245 DavidK 12-Jan-18 14:16
Re: Let there be Phos :) 196 magisterchessmutt 13-Jan-18 11:34
Re: Let there be Phos :) 168 DavidK 13-Jan-18 12:04
Re: Let there be Phos :) 196 magisterchessmutt 13-Jan-18 12:31
Re: Let there be Phos :) 280 DavidK 13-Jan-18 12:47
Let there be Phos at the GP 286 DavidK 17-Jan-18 15:13
Re: Let there be Phos :) 222 DavidK 22-Mar-18 22:50
Re: Let there be Phos :) 251 magisterchessmutt 27-Mar-18 21:19
Re: Let there be Phos :) 251 DavidK 07-Apr-18 20:01


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