468edo - Revision history

FloraC: Review

2026-06-09T04:26:34Z

Review

← Older revision		Revision as of 04:26, 9 June 2026
Line 3:		Line 3:

	== Theory ==		== Theory ==
	~~468et~~ tempers out [[~~78125000/78121827~~]], [[~~4375/4374~~]], [[~~250047/250000~~]], [[2401/2400]]~~, 420175/419904, 200120949/200000000,~~ and [[~~40353607~~/~~40310784~~]] in the 7-limit; ~~21437500~~/~~21434787, 151263/151250, 117649/117612, 514714375/514434888, 47265625/47258883,~~ [[9801/9800]], [[~~3025~~/~~3024~~]], ~~1890625~~/~~1889568, 160083/160000~~, [[~~41503~~/~~41472~~]], ~~3294225/3294172, 43923/43904, 102487/102400, and~~ [[~~1771561~~/~~1769472~~]] in the 11-limit. It provides the optimal patent val for [[unlit]].		468edo is [[consistent]] to the [[13-odd-limit]] with a sharp tuning tendency and a [[2.3.7.13 subgroup]] inherited from [[234edo]].

			As an equal temperament, it [[tempering out\|tempers out]] the [[undim comma]] and the [[ennealimma]] in the [[5-limit]]; [[2401/2400]] and [[4375/4374]] in the [[7-limit]], [[support]]ing [[ennealimmal]]; [[3025/3024]] and [[9801/9800]] in the [[11-limit]], supporting [[hemiennealimmal]]; and [[676/675]], [[1001/1000]], [[1716/1715]], [[2080/2079]] in the [[13-limit]], supporting 13-limit hemiennealimmal. It also provides the [[optimal patent val]] for 13-limit [[unlit]].

	=== Odd harmonics ===		=== Odd harmonics ===
Line 9:		Line 11:

	=== Subsets and supersets ===		=== Subsets and supersets ===
	468 factors into {{~~factorisation~~\|~~468~~}}, ~~with~~ subset edos {{EDOs\|2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, and 234}}.		Since 468 factors into primes as {{nowrap\| 2<sup>2</sup> × 3<sup>2</sup> × 13 }}, 468edo has subset edos {{EDOs\| 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, and 234 }}.

	== Regular temperament properties ==		== Regular temperament properties ==
Line 17:		Line 19:
	! rowspan="2" \| [[Comma list]]		! rowspan="2" \| [[Comma list]]
	! rowspan="2" \| [[Mapping]]		! rowspan="2" \| [[Mapping]]
	! rowspan="2" \| Optimal<br />8ve stretch (¢)		! rowspan="2" \| Optimal<br>8ve stretch (¢)
	! colspan="2" \| Tuning error		! colspan="2" \| Tuning error
	\|-		\|-
	! [[TE error\|Absolute]] (¢)		! [[TE error\|Absolute]] (¢)
	! [[TE simple badness\|Relative]] (%)		! [[TE simple badness\|Relative]] (%)
	\|-
	~~\| 2.3~~
	~~\| {{monzo\|371 -234}}~~
	~~\| {{mapping\|468 742}}~~
	~~\| −0.1922~~
	~~\| 0.1921~~
	~~\| 7.49~~
	\|-		\|-
	\| 2.3.5		\| 2.3.5
	\| ~~2199023255552/2179240250625~~, ~~7629394531250/7625597484987~~		\| {{Monzo\| 41 -20 -4 }}, {{monzo\| 1 -27 18 }}
	\| {{~~mapping~~\|468 742 1087}}		\| {{Mapping\| 468 742 1087 }}
	\| −0.2524		\| −0.2524
	\| 0.1785		\| 0.1785
Line 38:		Line 33:
	\|-		\|-
	\| 2.3.5.7		\| 2.3.5.7
	\| ~~4375/4374,~~ 2401/2400, ~~47141561040896~~/~~46708681640625~~		\| 2401/2400, 4375/4374, {{monzo\| 34 -14 -10 3 }}
	\| {{~~mapping~~\|468 742 1087 1314}}		\| {{Mapping\| 468 742 1087 1314 }}
	\| −0.2253		\| −0.2253
	\| 0.1615		\| 0.1615
Line 45:		Line 40:
	\|-		\|-
	\| 2.3.5.7.11		\| 2.3.5.7.11
	\| 3025/3024, 4375/4374~~, 2401/2400~~, 5767168/5740875		\| 2401/2400, 3025/3024, 4375/4374, 5767168/5740875
	\| {{~~mapping~~\|468 742 1087 1314 1619}}		\| {{Mapping\| 468 742 1087 1314 1619 }}
	\| −0.1782		\| −0.1782
	\| 0.1725		\| 0.1725
Line 52:		Line 47:
	\|-		\|-
	\| 2.3.5.7.11.13		\| 2.3.5.7.11.13
	\| ~~2080~~/~~2079~~, 1001/1000, 3025/3024, ~~1716/1715, 1982464~~/~~1974375~~		\| 676/675, 1001/1000, 1716/1715, 3025/3024, 495616/494325
	\| {{~~mapping~~\|468 742 1087 1314 1619 1732}}		\| {{Mapping\| 468 742 1087 1314 1619 1732 }}
	\| −0.1709		\| −0.1709
	\| 0.1583		\| 0.1583
Line 59:		Line 54:
	\|-		\|-
	\| 2.3.5.7.11.13.17		\| 2.3.5.7.11.13.17
	\| ~~2080~~/~~2079~~, 1001/1000, ~~3025~~/~~3024~~, 1716/1715, ~~17920~~/~~17901~~, ~~30464~~/~~30375~~		\| 676/675, 1001/1000, 1156/1155, 1716/1715, 3025/3024, 7616/7605
	\| {{~~mapping~~\|468 742 1087 1314 1619 1732 1913}}		\| {{Mapping\| 468 742 1087 1314 1619 1732 1913 }}
	\| −0.1526		\| −0.1526
	\| 0.1533		\| 0.1533
Line 70:		Line 65:
	\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator		\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator
	\|-		\|-
	! Periods<br />per 8ve		! Periods<br>per 8ve
	! Generator*		! Generator*
	! Cents*		! Cents*
	! Associated<br />ratio*		! Associated<br>ratio*
	! Temperaments		! Temperaments
	\|-		\|-
Line 83:		Line 78:
	\|-		\|-
	\| 4		\| 4
	\| 194\468<br />(40\468)		\| 194\468<br>(40\468)
	\| 497.44<br />(102.56)		\| 497.44<br>(102.56)
	\| 4/3<br />(35/33)		\| 4/3<br>(35/33)
	\| [[~~Undim~~]]		\| [[Unlit]]
	\|-		\|-
	\| 9		\| 9
	\| 123\468<br />(19\468)		\| 123\468<br>(19\468)
	\| 315.38<br />(48.72)		\| 315.38<br>(48.72)
	\| 6/5<br />(36/35)		\| 6/5<br>(36/35)
	\| [[Ennealimmal]]		\| [[Ennealimmal]]
	\|-		\|-
	\| 18		\| 18
	\| 97\468<br />(7\468)		\| 97\468<br>(7\468)
	\| 248.72<br />(17.95)		\| 248.72<br>(17.95)
	\| 231/200<br />(99/98)		\| 231/200<br>(99/98)
	\| [[Hemiennealimmal]]		\| [[Hemiennealimmal]]
	\|}		\|}
	<nowiki />* [[Normal forms #Equave-reduced-generator form\|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form\|minimal form]] in parentheses if distinct		<nowiki/>* [[Normal forms #Equave-reduced-generator form\|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form\|minimal form]] in parentheses if distinct

FloraC: Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

2026-03-13T13:32:45Z

Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

← Older revision		Revision as of 13:32, 13 March 2026
Line 100:		Line 100:
	\| [[Hemiennealimmal]]		\| [[Hemiennealimmal]]
	\|}		\|}
	<nowiki />* [[Normal ~~lists~~\|Octave-reduced form]], reduced to the first half-octave, and [[~~Normal lists~~\|minimal form]] in parentheses if distinct		<nowiki />* [[Normal forms #Equave-reduced-generator form\|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form\|minimal form]] in parentheses if distinct

Francium: changed EDO intro to ED intro

2025-02-21T06:30:01Z

changed EDO intro to ED intro

← Older revision		Revision as of 06:30, 21 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|468~~}}		{{ED intro}}

	== Theory ==		== Theory ==

ArrowHead294 at 19:54, 15 January 2025

2025-01-15T19:54:50Z

← Older revision		Revision as of 19:54, 15 January 2025
Line 3:		Line 3:

	== Theory ==		== Theory ==
	468et tempers out [[78125000/78121827]], [[4375/4374]], [[250047/250000]], [[2401/2400]], 420175/419904, 200120949/200000000 and [[40353607/40310784]] in the 7-limit; 21437500/21434787, 151263/151250, 117649/117612, 514714375/514434888, 47265625/47258883, [[9801/9800]], [[3025/3024]], 1890625/1889568, 160083/160000, [[41503/41472]], 3294225/3294172, 43923/43904, 102487/102400 and [[1771561/1769472]] in the 11-limit. It provides the optimal patent val for [[unlit]].		468et tempers out [[78125000/78121827]], [[4375/4374]], [[250047/250000]], [[2401/2400]], 420175/419904, 200120949/200000000, and [[40353607/40310784]] in the 7-limit; 21437500/21434787, 151263/151250, 117649/117612, 514714375/514434888, 47265625/47258883, [[9801/9800]], [[3025/3024]], 1890625/1889568, 160083/160000, [[41503/41472]], 3294225/3294172, 43923/43904, 102487/102400, and [[1771561/1769472]] in the 11-limit. It provides the optimal patent val for [[unlit]].

	=== Odd harmonics ===		=== Odd harmonics ===
Line 9:		Line 9:

	=== Subsets and supersets ===		=== Subsets and supersets ===
	468 factors into ~~2<sup>2</sup> × 3<sup>2</sup> × 13~~, with subset edos {{EDOs\|2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, and 234}}.		468 factors into {{factorisation\|468}}, with subset edos {{EDOs\|2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, and 234}}.

	== Regular temperament properties ==		== Regular temperament properties ==
Line 26:		Line 26:
	\| {{monzo\|371 -234}}		\| {{monzo\|371 -234}}
	\| {{mapping\|468 742}}		\| {{mapping\|468 742}}
	\| ~~−0~~.1922		\| −0.1922
	\| 0.1921		\| 0.1921
	\| 7.49		\| 7.49
Line 33:		Line 33:
	\| 2199023255552/2179240250625, 7629394531250/7625597484987		\| 2199023255552/2179240250625, 7629394531250/7625597484987
	\| {{mapping\|468 742 1087}}		\| {{mapping\|468 742 1087}}
	\| ~~−0~~.2524		\| −0.2524
	\| 0.1785		\| 0.1785
	\| 6.96		\| 6.96
Line 40:		Line 40:
	\| 4375/4374, 2401/2400, 47141561040896/46708681640625		\| 4375/4374, 2401/2400, 47141561040896/46708681640625
	\| {{mapping\|468 742 1087 1314}}		\| {{mapping\|468 742 1087 1314}}
	\| ~~−0~~.2253		\| −0.2253
	\| 0.1615		\| 0.1615
	\| 6.30		\| 6.30
Line 47:		Line 47:
	\| 3025/3024, 4375/4374, 2401/2400, 5767168/5740875		\| 3025/3024, 4375/4374, 2401/2400, 5767168/5740875
	\| {{mapping\|468 742 1087 1314 1619}}		\| {{mapping\|468 742 1087 1314 1619}}
	\| ~~−0~~.1782		\| −0.1782
	\| 0.1725		\| 0.1725
	\| 6.73		\| 6.73
Line 54:		Line 54:
	\| 2080/2079, 1001/1000, 3025/3024, 1716/1715, 1982464/1974375		\| 2080/2079, 1001/1000, 3025/3024, 1716/1715, 1982464/1974375
	\| {{mapping\|468 742 1087 1314 1619 1732}}		\| {{mapping\|468 742 1087 1314 1619 1732}}
	\| ~~−0~~.1709		\| −0.1709
	\| 0.1583		\| 0.1583
	\| 6.17		\| 6.17
Line 61:		Line 61:
	\| 2080/2079, 1001/1000, 3025/3024, 1716/1715, 17920/17901, 30464/30375		\| 2080/2079, 1001/1000, 3025/3024, 1716/1715, 17920/17901, 30464/30375
	\| {{mapping\|468 742 1087 1314 1619 1732 1913}}		\| {{mapping\|468 742 1087 1314 1619 1732 1913}}
	\| ~~−0~~.1526		\| −0.1526
	\| 0.1533		\| 0.1533
	\| 5.98		\| 5.98
Line 100:		Line 100:
	\| [[Hemiennealimmal]]		\| [[Hemiennealimmal]]
	\|}		\|}
	<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if ~~it is~~ distinct		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if distinct

ArrowHead294: Partial undo

2024-11-16T13:11:18Z

Partial undo

← Older revision		Revision as of 13:11, 16 November 2024
Line 12:		Line 12:

	== Regular temperament properties ==		== Regular temperament properties ==
	{~~{comma basis begin}}~~		{\| class="wikitable center-4 center-5 center-6"
			\|-
			! rowspan="2" \| [[Subgroup]]
			! rowspan="2" \| [[Comma list]]
			! rowspan="2" \| [[Mapping]]
			! rowspan="2" \| Optimal<br />8ve stretch (¢)
			! colspan="2" \| Tuning error
			\|-
			! [[TE error\|Absolute]] (¢)
			! [[TE simple badness\|Relative]] (%)
	\|-		\|-
	\| 2.3		\| 2.3
Line 55:		Line 64:
	\| 0.1533		\| 0.1533
	\| 5.98		\| 5.98
	~~{{comma basis end}~~}		\|}

	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{{rank-2 ~~begin}}~~		{\| class="wikitable center-all left-5"
			\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator
			\|-
			! Periods<br />per 8ve
			! Generator*
			! Cents*
			! Associated<br />ratio*
			! Temperaments
	\|-		\|-
	\| 1		\| 1
Line 83:		Line 99:
	\| 231/200<br />(99/98)		\| 231/200<br />(99/98)
	\| [[Hemiennealimmal]]		\| [[Hemiennealimmal]]
	~~{{rank-2 end}~~}		\|}
	~~{{orf}}~~		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct

ArrowHead294 at 02:02, 16 November 2024

2024-11-16T02:02:02Z

← Older revision		Revision as of 02:02, 16 November 2024
Line 12:		Line 12:

	== Regular temperament properties ==		== Regular temperament properties ==
	{~~\| class="wikitable center-4 center-5 center-6"~~		{{comma basis begin}}
	~~! rowspan="2" \|[[Subgroup]]~~
	~~! rowspan="2" \|[[Comma list\|Comma List]]~~
	~~! rowspan="2" \|[[Mapping]]~~
	~~! rowspan="2" \|Optimal<br>8ve Stretch (¢)~~
	~~! colspan="2" \|Tuning Error~~
	\|-
	~~![[TE error\|Absolute]] (¢)~~
	~~![[TE simple badness\|Relative]] (%)~~
	\|-		\|-
	\|2.3		\| 2.3
	\|{{monzo\|371 -234}}		\| {{monzo\|371 -234}}
	\|{{mapping\|468 742}}		\| {{mapping\|468 742}}
	\| -0.1922		\| −0.1922
	\| 0.1921		\| 0.1921
	\| 7.49		\| 7.49
	\|-		\|-
	\|2.3.5		\| 2.3.5
	\|2199023255552/2179240250625, 7629394531250/7625597484987		\| 2199023255552/2179240250625, 7629394531250/7625597484987
	\|{{mapping\|468 742 1087}}		\| {{mapping\|468 742 1087}}
	\| -0.2524		\| −0.2524
	\| 0.1785		\| 0.1785
	\| 6.96		\| 6.96
	\|-		\|-
	\|2.3.5.7		\| 2.3.5.7
	\|4375/4374, 2401/2400, 47141561040896/46708681640625		\| 4375/4374, 2401/2400, 47141561040896/46708681640625
	\|{{mapping\|468 742 1087 1314}}		\| {{mapping\|468 742 1087 1314}}
	\| -0.2253		\| −0.2253
	\| 0.1615		\| 0.1615
	\| 6.30		\| 6.30
	\|-		\|-
	\|2.3.5.7.11		\| 2.3.5.7.11
	\|3025/3024, 4375/4374, 2401/2400, 5767168/5740875		\| 3025/3024, 4375/4374, 2401/2400, 5767168/5740875
	\|{{mapping\|468 742 1087 1314 1619}}		\| {{mapping\|468 742 1087 1314 1619}}
	\| -0.1782		\| −0.1782
	\| 0.1725		\| 0.1725
	\| 6.73		\| 6.73
	\|-		\|-
	\|2.3.5.7.11.13		\| 2.3.5.7.11.13
	\|2080/2079, 1001/1000, 3025/3024, 1716/1715, 1982464/1974375		\| 2080/2079, 1001/1000, 3025/3024, 1716/1715, 1982464/1974375
	\|{{mapping\|468 742 1087 1314 1619 1732}}		\| {{mapping\|468 742 1087 1314 1619 1732}}
	\| -0.1709		\| −0.1709
	\| 0.1583		\| 0.1583
	\| 6.17		\| 6.17
	\|-		\|-
	\|2.3.5.7.11.13.17		\| 2.3.5.7.11.13.17
	\|2080/2079, 1001/1000, 3025/3024, 1716/1715, 17920/17901, 30464/30375		\| 2080/2079, 1001/1000, 3025/3024, 1716/1715, 17920/17901, 30464/30375
	\|{{mapping\|468 742 1087 1314 1619 1732 1913}}		\| {{mapping\|468 742 1087 1314 1619 1732 1913}}
	\| -0.1526		\| −0.1526
	\| 0.1533		\| 0.1533
	\| 5.98		\| 5.98
	\|}		{{comma basis end}}

	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{~~\| class="wikitable center-all left-5"~~		{{rank-2 begin}}
	~~\|+Table of~~ rank-2 ~~temperaments by generator~~
	~~! Periods<br>per 8ve~~
	! Generator<br>(reduced)*
	! Cents<br>(reduced)*
	! Associated<br>Ratio*
	~~! Temperaments~~
	\|-		\|-
	\|1		\| 1
	\|179\468		\| 179\468
	\|458.97		\| 458.97
	\|125/96		\| 125/96
	\|[[Majvam]]		\| [[Majvam]]
	\|-		\|-
	\|4		\| 4
	\|194\468<br>(40\468)		\| 194\468<br />(40\468)
	\|497.44<br>(102.56)		\| 497.44<br />(102.56)
	\|4/3<br>(35/33)		\| 4/3<br />(35/33)
	\|[[Undim]]		\| [[Undim]]
	\|-		\|-
	\|9		\| 9
	\|123\468<br>(19\468)		\| 123\468<br />(19\468)
	\|315.38<br>(48.72)		\| 315.38<br />(48.72)
	\|6/5<br>(36/35)		\| 6/5<br />(36/35)
	\|[[Ennealimmal]]		\| [[Ennealimmal]]
	\|-		\|-
	\|18		\| 18
	\|97\468<br>(7\468)		\| 97\468<br />(7\468)
	\|248.72<br>(17.95)		\| 248.72<br />(17.95)
	\|231/200<br>(99/98)		\| 231/200<br />(99/98)
	\|[[Hemiennealimmal]]		\| [[Hemiennealimmal]]
	\|}		{{rank-2 end}}
			{{orf}}
	~~<nowiki>*</nowiki> [[Normal lists\|octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct~~

Francium: /* Rank-2 temperaments */

2023-12-02T09:25:57Z

Rank-2 temperaments

← Older revision		Revision as of 09:25, 2 December 2023
Line 84:		Line 84:
	\|497.44<br>(102.56)		\|497.44<br>(102.56)
	\|4/3<br>(35/33)		\|4/3<br>(35/33)
			\|[[Undim]]
	\|-		\|-
	\|9		\|9
Line 97:		Line 98:
	\|[[Hemiennealimmal]]		\|[[Hemiennealimmal]]
	\|}		\|}

			<nowiki>*</nowiki> [[Normal lists\|octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct

Francium: /* Regular temperament properties */ +rank-2 temperaments

2023-12-02T09:24:56Z

Regular temperament properties: +rank-2 temperaments

@@ Line 56: / Line 56: @@
 | 0.1583
 | 6.17
 |}

Francium: Created page with "{{Infobox ET}} {{EDO intro|468}} == Theory == 468et tempers out 78125000/78121827, 4375/4374, 250047/250000, 2401/2400, 420175/419904, 200120949/200000000 and..."

2023-12-01T21:09:04Z

Created page with "{{Infobox ET}} {{EDO intro|468}} == Theory == 468et tempers out 78125000/78121827, 4375/4374, 250047/250000, 2401/2400, 420175/419904, 200120949/200000000 and..."

New page

{{Infobox ET}}
{{EDO intro|468}}

== Theory ==
468et tempers out [[78125000/78121827]], [[4375/4374]], [[250047/250000]], [[2401/2400]], 420175/419904, 200120949/200000000 and [[40353607/40310784]] in the 7-limit; 21437500/21434787, 151263/151250, 117649/117612, 514714375/514434888, 47265625/47258883, [[9801/9800]], [[3025/3024]], 1890625/1889568, 160083/160000, [[41503/41472]], 3294225/3294172, 43923/43904, 102487/102400 and [[1771561/1769472]] in the 11-limit. It provides the optimal patent val for [[unlit]].

=== Odd harmonics ===
{{Harmonics in equal|468}}

=== Subsets and supersets ===
468 factors into 22 × 32 × 13, with subset edos {{EDOs|2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, and 234}}.

== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
! rowspan="2" |[[Subgroup]]
! rowspan="2" |[[Comma list|Comma List]]
! rowspan="2" |[[Mapping]]
! rowspan="2" |Optimal 8ve Stretch (¢)
! colspan="2" |Tuning Error
|-
![[TE error|Absolute]] (¢)
![[TE simple badness|Relative]] (%)
|-
|2.3
|{{monzo|371 -234}}
|{{mapping|468 742}}
| -0.1922
| 0.1921
| 7.49
|-
|2.3.5
|2199023255552/2179240250625, 7629394531250/7625597484987
|{{mapping|468 742 1087}}
| -0.2524
| 0.1785
| 6.96
|-
|2.3.5.7
|4375/4374, 2401/2400, 47141561040896/46708681640625
|{{mapping|468 742 1087 1314}}
| -0.2253
| 0.1615
| 6.30
|-
|2.3.5.7.11
|3025/3024, 4375/4374, 2401/2400, 5767168/5740875
|{{mapping|468 742 1087 1314 1619}}
| -0.1782
| 0.1725
| 6.73
|-
|2.3.5.7.11.13
|2080/2079, 1001/1000, 3025/3024, 1716/1715, 1982464/1974375
|{{mapping|468 742 1087 1314 1619 1732}}
| -0.1709
| 0.1583
| 6.17
|}