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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 :) 2152 magisterchessmutt 16-Dec-17 03:08
Re: Let there be Phos :) 188 magisterchessmutt 16-Dec-17 14:12
Re: Let there be Phos :) 224 drew 17-Dec-17 02:30
Re: Let there be Phos :) 137 magisterchessmutt 17-Dec-17 14:17
Re: Let there be Phos :) 174 Sirfiroth 17-Dec-17 21:38
Re: Let there be Phos :) 171 magisterchessmutt 17-Dec-17 22:29
Re: Let there be Phos :) 219 Horatech 18-Dec-17 06:12
Re: Let there be Phos :) 148 magisterchessmutt 18-Dec-17 14:03
Re: Let there be Phos :) 190 Horatech 18-Dec-17 23:27
Re: Let there be Phos :) 168 magisterchessmutt 19-Dec-17 02:49
Re: Let there be Phos :) 173 molder 19-Dec-17 05:00
Re: Let there be Phos :) 151 Horatech 19-Dec-17 06:19
Re: Let there be Phos :) 175 magisterchessmutt 19-Dec-17 06:25
Re: Let there be Phos :) 160 molder 19-Dec-17 07:11
Re: Let there be Phos :) 224 magisterchessmutt 19-Dec-17 11:56
Re: Let there be Phos :) 164 Sirfiroth 19-Dec-17 19:32
Re: Let there be Phos :) 200 magisterchessmutt 20-Dec-17 03:00
Re: Let there be Phos :) 144 Sirfiroth 20-Dec-17 16:03
Re: Let there be Phos :) 159 magisterchessmutt 21-Dec-17 06:22
Re: Let there be Phos :) 147 molder 19-Dec-17 22:08
Re: Let there be Phos :) 159 magisterchessmutt 20-Dec-17 02:08
Re: Let there be Phos :) 172 molder 20-Dec-17 20:57
Re: Let there be Phos :) 170 magisterchessmutt 22-Dec-17 02:33
Re: Let there be Phos :) 147 magisterchessmutt 22-Dec-17 04:23
Re: Let there be Phos :) 169 mmstud 22-Dec-17 08:12
Re: Let there be Phos :) 194 magisterchessmutt 22-Dec-17 10:44
Re: Let there be Phos :) 162 mmstud 22-Dec-17 12:26
Re: Let there be Phos :) 220 magisterchessmutt 23-Dec-17 00:47
Re: Let there be Phos :) 224 magisterchessmutt 24-Dec-17 15:20
Re: Let there be Phos :) 224 magisterchessmutt 24-Dec-17 04:07
Re: Let there be Phos :) 176 drew 18-Dec-17 00:51
Re: Let there be Phos :) 172 magisterchessmutt 18-Dec-17 02:11
Re: Let there be Phos :) 244 mmstud 22-Dec-17 14:44
Re: Let there be Phos :)Doubling a cube 208 molder 22-Dec-17 21:21
Re: Let there be Phos :)Doubling a cube 220 molder 23-Dec-17 22:27
Re: Let there be Phos :)Doubling a cube 187 magisterchessmutt 24-Dec-17 01:55
Re: Let there be Phos :)Doubling a cube 189 magisterchessmutt 26-Dec-17 14:53
Re: Let there be Phos :)Doubling a cube 158 molder 26-Dec-17 21:51
Re: Let there be Phos :)Doubling a cube 151 magisterchessmutt 27-Dec-17 03:36
Re: Let there be Phos :)Doubling a cube 142 molder 27-Dec-17 05:02
Re: Let there be Phos :)Doubling a cube 193 magisterchessmutt 27-Dec-17 11:07
Re: Let there be Phos :)Doubling a cube 146 rodz111 29-Dec-17 22:44
Re: Let there be Phos :)Doubling a cube 129 Sirfiroth 28-Dec-17 18:28
Re: Let there be Phos :)Doubling a cube 153 DavidK 28-Dec-17 19:33
Re: Let there be Phos :)Doubling a cube 166 magisterchessmutt 29-Dec-17 02:42
Re: Let there be Phos :)Doubling a cube 215 Sirfiroth 29-Dec-17 14:27
Re: Let there be Phos :)Doubling a cube 151 DavidK 29-Dec-17 15:05
Re: Let there be Phos :)Doubling a cube 163 magisterchessmutt 29-Dec-17 01:37
Re: Let there be Phos :)Doubling a cube 197 DavidK 29-Dec-17 01:52
Re: Let there be Phos :)Doubling a cube 259 magisterchessmutt 29-Dec-17 03:04
Re: Let there be Phos :)Doubling a cube 144 molder 31-Dec-17 22:57
Re: Let there be Phos :) 220 cladking 28-Dec-17 20:36
Re: Let there be Phos :) 168 magisterchessmutt 29-Dec-17 01:47
Re: Let there be Phos :) 156 cladking 29-Dec-17 02:06
Re: Let there be Phos :) 175 cladking 29-Dec-17 23:02
Re: Let there be Phos :) 227 DavidK 29-Dec-17 10:51
Re: Let there be Phos :) Lunar Target Practice 163 magisterchessmutt 30-Dec-17 03:24
Re: Let there be Phos :) 185 DavidK 29-Dec-17 15:22
Re: Let there be Phos :) 186 magisterchessmutt 30-Dec-17 04:28
Re: Let there be Phos :) 211 DavidK 30-Dec-17 15:56
Re: Let there be Phos :) 145 magisterchessmutt 31-Dec-17 05:32
Re: Let there be Phos :) 203 DavidK 31-Dec-17 10:28
Re: Let there be Phos :) 157 magisterchessmutt 31-Dec-17 12:18
Re: Let there be Phos :) Lunar Reflections 178 magisterchessmutt 01-Jan-18 11:07
Re: Let there be Phos :) Lunar Reflections 167 DavidK 01-Jan-18 11:40
Re: Let there be Phos :) Lunar Reflections 156 magisterchessmutt 01-Jan-18 13:00
Re: Let there be Phos :) Lunar Reflections 156 DavidK 01-Jan-18 13:39
Re: Let there be Phos :) Lunar Reflections 168 magisterchessmutt 02-Jan-18 04:12
Re: Let there be Phos :) Lunar Reflections 188 DavidK 02-Jan-18 09:34
Re: Let there be Phos :) Lunar Reflections 158 magisterchessmutt 02-Jan-18 12:30
Re: Let there be Phos :) Lunar Reflections 227 DavidK 02-Jan-18 13:20
Re: Let there be Phos :) Lunar Reflections 166 magisterchessmutt 03-Jan-18 03:57
Re: Let there be Phos :) Lunar Reflections 127 molder 03-Jan-18 06:00
Re: Let there be Phos :) Lunar Reflections 137 magisterchessmutt 03-Jan-18 07:04
Re: Let there be Phos :) Lunar Reflections 226 molder 03-Jan-18 08:47
Re:A Canonical alternative 161 cloister 03-Jan-18 10:14
Re: Re:A Canonical alternative 146 magisterchessmutt 03-Jan-18 11:16
Re: Re:A Canonical alternative 144 molder 03-Jan-18 11:46
Re: Re:A Canonical alternative 139 magisterchessmutt 03-Jan-18 12:18
Re: Re:A Canonical alternative 154 molder 03-Jan-18 12:34
Re: Re:A Canonical alternative 141 magisterchessmutt 03-Jan-18 13:19
Re: Re:A Canonical alternative 142 cloister 03-Jan-18 15:20
Re: Re:A Canonical alternative 139 magisterchessmutt 03-Jan-18 16:55
Re: Re:A Canonical alternative 205 cloister 05-Jan-18 17:23
Re: Re:A Canonical alternative 135 Origyptian 06-Jan-18 18:14
Re: Re:A Canonical alternative 151 magisterchessmutt 08-Jan-18 04:45
Re: Re:A Canonical alternative 194 cloister 08-Jan-18 11:25
Re: Re:A Canonical alternative 175 DavidK 03-Jan-18 15:37
Re: Re:A Canonical alternative 138 magisterchessmutt 03-Jan-18 17:31
Re: Re:A Canonical alternative 199 DavidK 03-Jan-18 18:54
Re: Re:A Canonical alternative 144 magisterchessmutt 04-Jan-18 03:04
Re: Re:A Canonical alternative 200 DavidK 04-Jan-18 09:55
Re: Re:A Canonical alternative 96 magisterchessmutt 04-Jan-18 11:20
Re: Re:A Canonical alternative 148 DavidK 04-Jan-18 11:55
Re: Re:A Canonical alternative 226 magisterchessmutt 04-Jan-18 12:13
Re: Re:A Canonical alternative 167 Sirfiroth 07-Jan-18 00:00
Re: Re:A Canonical alternative 171 magisterchessmutt 07-Jan-18 00:46
Re: Re:A Canonical alternative 142 magisterchessmutt 07-Jan-18 07:41
Re: Re:A Canonical alternative 185 cloister 07-Jan-18 09:07
Re: Let there be Phos :) 145 magisterchessmutt 07-Jan-18 16:12
Re: Let there be Phos :) 193 DavidK 07-Jan-18 18:28
Re: Let there be Phos :) 153 magisterchessmutt 07-Jan-18 22:43
Re: Let there be Phos :) 182 DavidK 07-Jan-18 23:09
Re: Let there be Phos :) 153 DavidK 07-Jan-18 23:53
Re: Let there be Phos :) 160 magisterchessmutt 08-Jan-18 03:37
Re: Let there be Phos :) 154 magisterchessmutt 08-Jan-18 04:05
Re: Let there be Phos :) 170 DavidK 08-Jan-18 08:25
Re: Let there be Phos :) 139 magisterchessmutt 08-Jan-18 10:28
Re: Let there be Phos :) 180 DavidK 08-Jan-18 10:59
Re: Let there be Phos :) 127 DavidK 08-Jan-18 11:17
Re: Let there be Phos :) 142 magisterchessmutt 08-Jan-18 12:35
Re: Let there be Phos :) 148 DavidK 08-Jan-18 17:45
Re: Let there be Phos :) 131 DavidK 08-Jan-18 19:43
Re: Let there be Phos :) 189 magisterchessmutt 09-Jan-18 03:46
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Re: Let there be Phos :) The Scottish mile 154 molder 10-Jan-18 13:33
Re: Let there be Phos :) The Scottish mile 120 molder 10-Jan-18 13:57
Re: Let there be Phos :) The Scottish mile 129 DavidK 10-Jan-18 15:07
Re: Let there be Phos :) 111 DavidK 10-Jan-18 16:38
Re: Let there be Phos :) 137 DavidK 10-Jan-18 16:46
Re: Let there be Phos :) 158 DavidK 10-Jan-18 21:18
Re: Let there be Phos :) 133 molder 11-Jan-18 21:54
Re: Let there be Phos :) 147 magisterchessmutt 12-Jan-18 10:29
Re: Let there be Phos :) 135 DavidK 12-Jan-18 11:17
Re: Let there be Phos :) 113 DavidK 12-Jan-18 10:40
Re: Let there be Phos :) 110 magisterchessmutt 12-Jan-18 12:01
Re: Let there be Phos :) 159 DavidK 12-Jan-18 13:06
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Re: Let there be Phos :) 136 magisterchessmutt 12-Jan-18 12:25
Re: Let there be Phos :) 177 DavidK 12-Jan-18 14:16
Re: Let there be Phos :) 137 magisterchessmutt 13-Jan-18 11:34
Re: Let there be Phos :) 125 DavidK 13-Jan-18 12:04
Re: Let there be Phos :) 132 magisterchessmutt 13-Jan-18 12:31
Re: Let there be Phos :) 202 DavidK 13-Jan-18 12:47
Let there be Phos at the GP 215 DavidK 17-Jan-18 15:13
Re: Let there be Phos :) 128 DavidK 22-Mar-18 22:50
Re: Let there be Phos :) 164 magisterchessmutt 27-Mar-18 21:19
Re: Let there be Phos :) 172 DavidK 07-Apr-18 20:01


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