S-expression - Revision history

FloraC: /* {{nowrap|Sk⋅S(k + 1)}} (triangle-particulars) */ missing entry

2026-06-04T07:10:05Z

{{nowrap|Sk⋅S(k + 1)}} (triangle-particulars): missing entry

← Older revision		Revision as of 07:10, 4 June 2026
Line 714:		Line 714:
	\| [[1540/1539]]		\| [[1540/1539]]
	\| 2.3.5.7.11.19		\| 2.3.5.7.11.19
			\|-
			\| S56⋅S57
			\| ([[56/55]])/([[58/57]])
			\| [[1596/1595]]
			\| 2.3.5.7.11.19.29
	\|-		\|-
	\| S63⋅S64		\| S63⋅S64

FloraC: Table alignment

2026-06-04T07:06:06Z

Table alignment

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Eufalesio: /* Table of semiparticulars */ Subgroupped

2026-06-03T22:33:12Z

Table of semiparticulars: Subgroupped

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Eufalesio: /* Table of triangle-particulars */ Subgroupped

2026-06-03T19:33:56Z

Table of triangle-particulars: Subgroupped

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FloraC: /* Sk/S(k + 1) (ultraparticulars) */ complete the subgroup column

2026-05-27T07:05:18Z

Sk/S(k + 1) (ultraparticulars): complete the subgroup column

← Older revision		Revision as of 07:05, 27 May 2026
Line 1,795:		Line 1,795:
	\| [[570807/570752]]		\| [[570807/570752]]
	\| 0.167		\| 0.167
	\| 29		\| 2.3.7.13.29
	\|-		\|-
	\| S28/S29 = ([[784/783]])/([[841/840]])		\| S28/S29 = ([[784/783]])/([[841/840]])
Line 1,801:		Line 1,801:
	\| [[219520/219501]]		\| [[219520/219501]]
	\| 0.150		\| 0.150
	\| 29		\| 2.3.5.7.29
	\|-		\|-
	\| <small>S31/S32 = ([[961/960]])/([[1024/1023]])</small>		\| <small>S31/S32 = ([[961/960]])/([[1024/1023]])</small>
Line 1,807:		Line 1,807:
	\| [[327701/327680]]		\| [[327701/327680]]
	\| 0.111		\| 0.111
	\| 31		\| 2.5.11.31
	\|-		\|-
	\| <small>S33/S34 = ([[1089/1088]])/([[1156/1155]])</small>		\| <small>S33/S34 = ([[1089/1088]])/([[1156/1155]])</small>
Line 1,813:		Line 1,813:
	\| <small>[[1257795/1257728]]</small>		\| <small>[[1257795/1257728]]</small>
	\| 0.092		\| 0.092
	\| 17		\| 2.3.5.7.11.17
	\|-		\|-
	\| <small>S34/S35 = ([[1156/1155]])/([[1225/1224]])</small>		\| <small>S34/S35 = ([[1156/1155]])/([[1225/1224]])</small>
Line 1,819:		Line 1,819:
	\| [[471648/471625]]		\| [[471648/471625]]
	\| 0.084		\| 0.084
	\| 17		\| 2.3.5.7.11.17
	\|-		\|-
	\| <small>S37/S38 = ([[1369/1368]])/([[1444/1443]])</small>		\| <small>S37/S38 = ([[1369/1368]])/([[1444/1443]])</small>
Line 1,825:		Line 1,825:
	\| [[658489/658464]]		\| [[658489/658464]]
	\| 0.066		\| 0.066
	\| 37		\| 2.3.13.19.37
	\|-		\|-
	\| <small>S40/S41 = ([[1600/1599]])/([[1681/1680]])</small>		\| <small>S40/S41 = ([[1600/1599]])/([[1681/1680]])</small>
Line 1,831:		Line 1,831:
	\| [[896000/895973]]		\| [[896000/895973]]
	\| 0.052		\| 0.052
	\| 41		\| 2.5.7.13.41
	\|-		\|-
	\| <small>S43/S44 = ([[1849/1848]])/([[1936/1935]])</small>		\| <small>S43/S44 = ([[1849/1848]])/([[1936/1935]])</small>
Line 1,837:		Line 1,837:
	\| <small>[[1192605/1192576]]</small>		\| <small>[[1192605/1192576]]</small>
	\| 0.042		\| 0.042
	\| 43		\| 2.3.5.7.11.43
	\|-		\|-
	\| <small>S46/S47 = ([[2116/2115]])/([[2209/2208]])</small>		\| <small>S46/S47 = ([[2116/2115]])/([[2209/2208]])</small>
Line 1,843:		Line 1,843:
	\| <small>[[1557376/1557345]]</small>		\| <small>[[1557376/1557345]]</small>
	\| 0.034		\| 0.034
	\| 47		\| 2.3.5.23.47
	\|-		\|-
	\| <small>S49/S50 = ([[2401/2400]])/([[2500/2499]])</small>		\| <small>S49/S50 = ([[2401/2400]])/([[2500/2499]])</small>

FloraC: - monzos. Consolidate prime limit and subgroup columns. Unify the precision

2026-05-27T06:53:55Z

- monzos. Consolidate prime limit and subgroup columns. Unify the precision

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Godtone: move section as this is used in other parts of the page including for deriving the general S-expression equivalence

2026-05-26T23:21:04Z

move section as this is used in other parts of the page including for deriving the general S-expression equivalence

@@ Line 2,181: / Line 2,181: @@
 === Derivation of equivalence relation ===
-Using the clarity of [[S-expression/Advanced results #Using S-factorizations to understand the significance of S-expressions|S-factorizations]], we can show the interval relations implicated by these two new "lopsided" forms, which will make clear the reason for their name:
+Using the clarity of [[#Using S-factorizations to understand the significance of S-expressions|S-factorizations]], we can show the interval relations implicated by these two new "lopsided" forms, which will make clear the reason for their name:
 S''k''<sup>2</sup>⋅S(''k'' + 1) = [''k'' - 1, ''k'', ''k'' + 1, ''k'' + 2]^(2[-1, 2, -1, 0] + [0, -1, 2, -1] = [-2, 4, -2, 0] + [0, -1, 2, -1] = [-2, 3, 0, -1]) implies:
@@ Line 2,665: / Line 2,665: @@
 | [[256000/255879]]
 |}
 == Equivalent S-expressions ==

FloraC: /* Sk (square-particulars) */ complete the subgroup column

2026-05-26T10:02:11Z

Sk (square-particulars): complete the subgroup column

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FloraC: Don't add monzos -- this entire page doesn't deal with monzos for a good reason. Consolidate prime limit and subgroup columns

2026-05-26T09:42:01Z

Don't add monzos -- this entire page doesn't deal with monzos for a good reason. Consolidate prime limit and subgroup columns

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Eufalesio: More monzoing and subgroupping (WIP)

2026-05-25T19:52:42Z

More monzoing and subgroupping (WIP)

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