316edo - Revision history

FloraC: Countritonic -> ragitritonic

2026-05-20T11:16:04Z

Countritonic -> ragitritonic

← Older revision		Revision as of 11:16, 20 May 2026
Line 105:		Line 105:
	\| 588.61		\| 588.61
	\| 45927/32768		\| 45927/32768
	\| [[~~Countritonic~~]] (7-limit)		\| [[Ragitritonic]] (7-limit)
	\|-		\|-
	\| 2		\| 2

FloraC: Cleanup

2026-05-20T11:15:30Z

Cleanup

← Older revision		Revision as of 11:15, 20 May 2026
Line 3:		Line 3:

	== Theory ==		== Theory ==
	While not highly accurate for its size, ~~316et~~ is the point where a few important temperaments meet, and is [[consistency\|distinctly consistent]] in the [[11-odd-limit]]. It [[tempering out\|tempers out]] the [[parakleisma]], {{monzo\| 8 14 -13 }}, the [[undim comma]], {{monzo\| 41 -20 -4 }}, and the [[maquila comma]], {{monzo\| 49 -6 -17 }} in the 5-limit; [[3136/3125]], [[4375/4374]], [[10976/10935]] in the 7-limit; [[3025/3024]], [[3388/3375]], [[9801/9800]], and [[14641/14580]] in the 11-limit; and using the [[patent val]], [[1716/1715]], [[2080/2079]], [[2197/2187]], [[4096/4095]], [[4225/4224]], [[6656/6655]], and [[10648/10647]] in the 13-limit; notably supporting [[~~Abigail~~]] and [[semiparakleismic]].		While not highly accurate for its size, 316edo is the point where a few important temperaments meet, and is [[consistency\|distinctly consistent]] in the [[11-odd-limit]]. It [[tempering out\|tempers out]] the [[parakleisma]], {{monzo\| 8 14 -13 }}, the [[undim comma]], {{monzo\| 41 -20 -4 }}, and the [[maquila comma]], {{monzo\| 49 -6 -17 }} in the 5-limit; [[3136/3125]], [[4375/4374]], [[10976/10935]] in the 7-limit; [[3025/3024]], [[3388/3375]], [[9801/9800]], and [[14641/14580]] in the 11-limit; and using the [[patent val]], [[1716/1715]], [[2080/2079]], [[2197/2187]], [[4096/4095]], [[4225/4224]], [[6656/6655]], and [[10648/10647]] in the 13-limit; notably supporting [[abigail]] and [[semiparakleismic]].

	It provides the [[optimal patent val]] for the rank-4 temperament tempering out 3388/3375, and [[triglav]], which also tempers out 3025/3024.		It provides the [[optimal patent val]] for the rank-4 temperament tempering out 3388/3375, and [[triglav]], which also tempers out 3025/3024.
Line 11:		Line 11:

	=== Subsets and supersets ===		=== Subsets and supersets ===
	316 factors into {{~~factorisation~~\|~~316~~}}, with subset edos {{EDOs\| 2, 4, 79, and 158 }}.		316 factors into {{nowrap\| 2<sup>2</sup> × 79 }}, with subset edos {{EDOs\| 2, 4, 79, and 158 }}.

	== Regular temperament properties ==		== Regular temperament properties ==
Line 19:		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
	\|-		\|-
Line 26:		Line 26:
	\|-		\|-
	\| 2.3		\| 2.3
	\| {{~~monzo~~\| 501 -316 }}		\| {{Monzo\| 501 -316 }}
	\| {{~~mapping~~\| 316 501 }}		\| {{Mapping\| 316 501 }}
	\| −0.182		\| −0.182
	\| 0.182		\| 0.182
Line 33:		Line 33:
	\|-		\|-
	\| 2.3.5		\| 2.3.5
	\| {{~~monzo~~\| 8 14 -13 }}, {{monzo\| 41 -20 -4 }}		\| {{Monzo\| 8 14 -13 }}, {{monzo\| 41 -20 -4 }}
	\| {{~~mapping~~\| 316 501 734 }}		\| {{Mapping\| 316 501 734 }}
	\| −0.269		\| −0.269
	\| 0.193		\| 0.193
Line 41:		Line 41:
	\| 2.3.5.7		\| 2.3.5.7
	\| 3136/3125, 4375/4374, {{monzo\| -26 -1 1 9 }}		\| 3136/3125, 4375/4374, {{monzo\| -26 -1 1 9 }}
	\| {{~~mapping~~\| 316 501 734 887 }}		\| {{Mapping\| 316 501 734 887 }}
	\| −0.160		\| −0.160
	\| 0.252		\| 0.252
Line 48:		Line 48:
	\| 2.3.5.7.11		\| 2.3.5.7.11
	\| 3025/3024, 3136/3125, 4375/4374, 131072/130977		\| 3025/3024, 3136/3125, 4375/4374, 131072/130977
	\| {{~~mapping~~\| 316 501 734 887 1093 }}		\| {{Mapping\| 316 501 734 887 1093 }}
	\| −0.088		\| −0.088
	\| 0.267		\| 0.267
Line 55:		Line 55:
	\| 2.3.5.7.11.13		\| 2.3.5.7.11.13
	\| 1716/1715, 2080/2079, 2197/2187, 3025/3024, 3136/3125		\| 1716/1715, 2080/2079, 2197/2187, 3025/3024, 3136/3125
	\| {{~~mapping~~\| 316 501 734 887 1093 1169 }}		\| {{Mapping\| 316 501 734 887 1093 1169 }}
	\| −0.016		\| −0.016
	\| 0.293		\| 0.293
Line 65:		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 114:		Line 114:
	\|-		\|-
	\| 2		\| 2
	\| 83\316<br />(75\316)		\| 83\316<br>(75\316)
	\| 315.19<br />(284.81)		\| 315.19<br>(284.81)
	\| 6/5<br />(33/28)		\| 6/5<br>(33/28)
	\| [[Semiparakleismic]]		\| [[Semiparakleismic]]
	\|-		\|-
	\| 4		\| 4
	\| 131\316<br />(27\316)		\| 131\316<br>(27\316)
	\| 497.47<br />(102.53)		\| 497.47<br>(102.53)
	\| 4/3<br />(35/33)		\| 4/3<br>(35/33)
	\| [[Unlit]]		\| [[Unlit]]
	\|}		\|}
	<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

	[[Category:Parakleismic]]		[[Category:Parakleismic]]
	~~[[Category:Semiparakleismic]]~~
	[[Category:Triglav]]		[[Category:Triglav]]

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"

2026-03-13T13:32:30Z

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 125:		Line 125:
	\| [[Unlit]]		\| [[Unlit]]
	\|}		\|}
	<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

	[[Category:Parakleismic]]		[[Category:Parakleismic]]
	[[Category:Semiparakleismic]]		[[Category:Semiparakleismic]]
	[[Category:Triglav]]		[[Category:Triglav]]

ArrowHead294 at 22:50, 20 February 2025

2025-02-20T22:50:38Z

← Older revision		Revision as of 22:50, 20 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|316~~}}		{{ED intro}}

	== Theory ==		== Theory ==

ArrowHead294 at 19:44, 15 January 2025

2025-01-15T19:44:17Z

← Older revision		Revision as of 19:44, 15 January 2025
Line 3:		Line 3:

	== Theory ==		== Theory ==
	While not highly accurate for its size, 316et is the point where a few important temperaments meet, and is [[consistency\|distinctly consistent]] in the [[11-odd-limit]]. It [[tempering out\|tempers out]] the [[parakleisma]], {{monzo\| 8 14 -13 }}, the [[undim comma]], {{monzo\| 41 -20 -4 }}, and the [[maquila comma]], {{monzo\| 49 -6 -17 }} in the 5-limit; [[3136/3125]], [[4375/4374]], [[10976/10935]] in the 7-limit; [[3025/3024]], [[3388/3375]], [[9801/9800]] and [[14641/14580]] in the 11-limit; and using the [[patent val]], [[1716/1715]], [[2080/2079]], [[2197/2187]], [[4096/4095]], [[4225/4224]], [[6656/6655]], and [[10648/10647]] in the 13-limit; notably supporting [[~~abigail~~]] and [[semiparakleismic]].		While not highly accurate for its size, 316et is the point where a few important temperaments meet, and is [[consistency\|distinctly consistent]] in the [[11-odd-limit]]. It [[tempering out\|tempers out]] the [[parakleisma]], {{monzo\| 8 14 -13 }}, the [[undim comma]], {{monzo\| 41 -20 -4 }}, and the [[maquila comma]], {{monzo\| 49 -6 -17 }} in the 5-limit; [[3136/3125]], [[4375/4374]], [[10976/10935]] in the 7-limit; [[3025/3024]], [[3388/3375]], [[9801/9800]], and [[14641/14580]] in the 11-limit; and using the [[patent val]], [[1716/1715]], [[2080/2079]], [[2197/2187]], [[4096/4095]], [[4225/4224]], [[6656/6655]], and [[10648/10647]] in the 13-limit; notably supporting [[Abigail]] and [[semiparakleismic]].

	It provides the [[optimal patent val]] for the rank-4 temperament tempering out 3388/3375, and [[triglav]], which also tempers out 3025/3024.		It provides the [[optimal patent val]] for the rank-4 temperament tempering out 3388/3375, and [[triglav]], which also tempers out 3025/3024.
Line 11:		Line 11:

	=== Subsets and supersets ===		=== Subsets and supersets ===
	316 factors into ~~2<sup>2</sup> × 79~~, with subset edos {{EDOs\| 2, 4, 79, and 158 }}.		316 factors into {{factorisation\|316}}, with subset edos {{EDOs\| 2, 4, 79, and 158 }}.

	== Regular temperament properties ==		== Regular temperament properties ==
Line 28:		Line 28:
	\| {{monzo\| 501 -316 }}		\| {{monzo\| 501 -316 }}
	\| {{mapping\| 316 501 }}		\| {{mapping\| 316 501 }}
	\| ~~−0~~.182		\| −0.182
	\| 0.182		\| 0.182
	\| 4.79		\| 4.79
Line 35:		Line 35:
	\| {{monzo\| 8 14 -13 }}, {{monzo\| 41 -20 -4 }}		\| {{monzo\| 8 14 -13 }}, {{monzo\| 41 -20 -4 }}
	\| {{mapping\| 316 501 734 }}		\| {{mapping\| 316 501 734 }}
	\| ~~−0~~.269		\| −0.269
	\| 0.193		\| 0.193
	\| 5.08		\| 5.08
Line 42:		Line 42:
	\| 3136/3125, 4375/4374, {{monzo\| -26 -1 1 9 }}		\| 3136/3125, 4375/4374, {{monzo\| -26 -1 1 9 }}
	\| {{mapping\| 316 501 734 887 }}		\| {{mapping\| 316 501 734 887 }}
	\| ~~−0~~.160		\| −0.160
	\| 0.252		\| 0.252
	\| 6.64		\| 6.64
Line 49:		Line 49:
	\| 3025/3024, 3136/3125, 4375/4374, 131072/130977		\| 3025/3024, 3136/3125, 4375/4374, 131072/130977
	\| {{mapping\| 316 501 734 887 1093 }}		\| {{mapping\| 316 501 734 887 1093 }}
	\| ~~−0~~.088		\| −0.088
	\| 0.267		\| 0.267
	\| 7.04		\| 7.04
Line 56:		Line 56:
	\| 1716/1715, 2080/2079, 2197/2187, 3025/3024, 3136/3125		\| 1716/1715, 2080/2079, 2197/2187, 3025/3024, 3136/3125
	\| {{mapping\| 316 501 734 887 1093 1169 }}		\| {{mapping\| 316 501 734 887 1093 1169 }}
	\| ~~−0~~.016		\| −0.016
	\| 0.293		\| 0.293
	\| 7.72		\| 7.72
Line 125:		Line 125:
	\| [[Unlit]]		\| [[Unlit]]
	\|}		\|}
	<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

	[[Category:Parakleismic]]		[[Category:Parakleismic]]
	[[Category:Semiparakleismic]]		[[Category:Semiparakleismic]]
	[[Category:Triglav]]		[[Category:Triglav]]

ArrowHead294: Partial undo

2024-11-16T12:31:20Z

Partial undo

← Older revision		Revision as of 12:31, 16 November 2024
Line 14:		Line 14:

	== 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 50:		Line 59:
	\| 0.293		\| 0.293
	\| 7.72		\| 7.72
	~~{{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 108:		Line 124:
	\| 4/3<br />(35/33)		\| 4/3<br />(35/33)
	\| [[Unlit]]		\| [[Unlit]]
	~~{{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

	[[Category:Parakleismic]]		[[Category:Parakleismic]]
	[[Category:Semiparakleismic]]		[[Category:Semiparakleismic]]
	[[Category:Triglav]]		[[Category:Triglav]]

ArrowHead294 at 04:31, 16 November 2024

2024-11-16T04:31:49Z

← Older revision		Revision as of 04:31, 16 November 2024
Line 14:		Line 14:

	== 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 8ve <br>Stretch (¢)~~
	~~! colspan="2" \| Tuning Error~~
	\|-
	~~! [[TE error\|Absolute]] (¢)~~
	~~! [[TE simple badness\|Relative]] (%)~~
	\|-		\|-
	\| 2.3		\| 2.3
	\| {{monzo\| 501 -316 }}		\| {{monzo\| 501 -316 }}
	\| {{mapping\| 316 501 }}		\| {{mapping\| 316 501 }}
	\| -0.182		\| −0.182
	\| 0.182		\| 0.182
	\| 4.79		\| 4.79
Line 34:		Line 26:
	\| {{monzo\| 8 14 -13 }}, {{monzo\| 41 -20 -4 }}		\| {{monzo\| 8 14 -13 }}, {{monzo\| 41 -20 -4 }}
	\| {{mapping\| 316 501 734 }}		\| {{mapping\| 316 501 734 }}
	\| -0.269		\| −0.269
	\| 0.193		\| 0.193
	\| 5.08		\| 5.08
Line 41:		Line 33:
	\| 3136/3125, 4375/4374, {{monzo\| -26 -1 1 9 }}		\| 3136/3125, 4375/4374, {{monzo\| -26 -1 1 9 }}
	\| {{mapping\| 316 501 734 887 }}		\| {{mapping\| 316 501 734 887 }}
	\| -0.160		\| −0.160
	\| 0.252		\| 0.252
	\| 6.64		\| 6.64
Line 48:		Line 40:
	\| 3025/3024, 3136/3125, 4375/4374, 131072/130977		\| 3025/3024, 3136/3125, 4375/4374, 131072/130977
	\| {{mapping\| 316 501 734 887 1093 }}		\| {{mapping\| 316 501 734 887 1093 }}
	\| -0.088		\| −0.088
	\| 0.267		\| 0.267
	\| 7.04		\| 7.04
Line 55:		Line 47:
	\| 1716/1715, 2080/2079, 2197/2187, 3025/3024, 3136/3125		\| 1716/1715, 2080/2079, 2197/2187, 3025/3024, 3136/3125
	\| {{mapping\| 316 501 734 887 1093 1169 }}		\| {{mapping\| 316 501 734 887 1093 1169 }}
	\| -0.016		\| −0.016
	\| 0.293		\| 0.293
	\| 7.72		\| 7.72
	\|}		{{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*
	! Cents*
	! Associated<br>Ratio*
	~~! Temperaments~~
	\|-		\|-
	\| 1		\| 1
Line 112:		Line 98:
	\|-		\|-
	\| 2		\| 2
	\| 83\316<br>(75\316)		\| 83\316<br />(75\316)
	\| 315.19<br>(284.81)		\| 315.19<br />(284.81)
	\| 6/5<br>(33/28)		\| 6/5<br />(33/28)
	\| [[Semiparakleismic]]		\| [[Semiparakleismic]]
	\|-		\|-
	\| 4		\| 4
	\| 131\316<br>(27\316)		\| 131\316<br />(27\316)
	\| 497.47<br>(102.53)		\| 497.47<br />(102.53)
	\| 4/3<br>(35/33)		\| 4/3<br />(35/33)
	\| [[Unlit]]		\| [[Unlit]]
	\|}		{{rank-2 end}}
	~~<nowiki>*</nowiki> [[Normal lists\|octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct~~		{{orf}}

	[[Category:Parakleismic]]		[[Category:Parakleismic]]
	[[Category:Semiparakleismic]]		[[Category:Semiparakleismic]]
	[[Category:Triglav]]		[[Category:Triglav]]

FloraC: +commas and misc. cleanup

2023-12-11T19:06:50Z

+commas and misc. cleanup

← Older revision		Revision as of 19:06, 11 December 2023
Line 3:		Line 3:

	== Theory ==		== Theory ==
	While not highly accurate for its size, 316et is the point where a few important temperaments meet, and is ~~distinctly~~ [[consistent]] in the [[11-odd-limit]]. It tempers out the [[parakleisma]], {{monzo\| 8 14 -13 }}, the [[undim comma]], {{monzo\| 41 -20 -4 }}, and the [[maquila comma]], {{monzo\| 49 -6 -17 }} in the 5-limit; [[3136/3125]], [[4375/4374]], [[10976/10935]] in the 7-limit; [[3025/3024]], [[3388/3375]], [[9801/9800]] and [[14641/14580]] in the 11-limit; and using the [[patent val]], [[1716/1715]], [[2080/2079]] ~~and~~ [[4096/4095]] in the 13-limit; notably supporting [[abigail]] and [[semiparakleismic]].		While not highly accurate for its size, 316et is the point where a few important temperaments meet, and is [[consistency\|distinctly consistent]] in the [[11-odd-limit]]. It [[tempering out\|tempers out]] the [[parakleisma]], {{monzo\| 8 14 -13 }}, the [[undim comma]], {{monzo\| 41 -20 -4 }}, and the [[maquila comma]], {{monzo\| 49 -6 -17 }} in the 5-limit; [[3136/3125]], [[4375/4374]], [[10976/10935]] in the 7-limit; [[3025/3024]], [[3388/3375]], [[9801/9800]] and [[14641/14580]] in the 11-limit; and using the [[patent val]], [[1716/1715]], [[2080/2079]], [[2197/2187]], [[4096/4095]], [[4225/4224]], [[6656/6655]], and [[10648/10647]] in the 13-limit; notably supporting [[abigail]] and [[semiparakleismic]].

	It provides the [[optimal patent val]] for the rank-4 temperament tempering out 3388/3375, and [[triglav]], which also tempers out 3025/3024.		It provides the [[optimal patent val]] for the rank-4 temperament tempering out 3388/3375, and [[triglav]], which also tempers out 3025/3024.
Line 66:		Line 66:
	! Generator*		! Generator*
	! Cents*		! Cents*
	! Associated<br>Ratio		! Associated<br>Ratio*
	! Temperaments		! Temperaments
	\|-		\|-
Line 121:		Line 121:
	\| 497.47<br>(102.53)		\| 497.47<br>(102.53)
	\| 4/3<br>(35/33)		\| 4/3<br>(35/33)
	\| [[~~Undim]] / [[unlit~~]]		\| [[Unlit]]
	\|}		\|}
			<nowiki>*</nowiki> [[Normal lists\|octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct

	[[Category:Parakleismic]]		[[Category:Parakleismic]]
	[[Category:Semiparakleismic]]		[[Category:Semiparakleismic]]
	[[Category:Triglav]]		[[Category:Triglav]]

FloraC: /* Regular temperament properties */ cleanup; +threedic

2023-12-11T19:00:38Z

Regular temperament properties: cleanup; +threedic

← Older revision		Revision as of 19:00, 11 December 2023
Line 26:		Line 26:
	\| 2.3		\| 2.3
	\| {{monzo\| 501 -316 }}		\| {{monzo\| 501 -316 }}
	\| [{{~~val~~\| 316 501 }}]		\| {{mapping\| 316 501 }}
	\| -0.182		\| -0.182
	\| 0.182		\| 0.182
Line 33:		Line 33:
	\| 2.3.5		\| 2.3.5
	\| {{monzo\| 8 14 -13 }}, {{monzo\| 41 -20 -4 }}		\| {{monzo\| 8 14 -13 }}, {{monzo\| 41 -20 -4 }}
	\| [{{~~val~~\| 316 501 734 }}]		\| {{mapping\| 316 501 734 }}
	\| -0.269		\| -0.269
	\| 0.193		\| 0.193
Line 40:		Line 40:
	\| 2.3.5.7		\| 2.3.5.7
	\| 3136/3125, 4375/4374, {{monzo\| -26 -1 1 9 }}		\| 3136/3125, 4375/4374, {{monzo\| -26 -1 1 9 }}
	\| [{{~~val~~\| 316 501 734 887 }}]		\| {{mapping\| 316 501 734 887 }}
	\| -0.160		\| -0.160
	\| 0.252		\| 0.252
Line 47:		Line 47:
	\| 2.3.5.7.11		\| 2.3.5.7.11
	\| 3025/3024, 3136/3125, 4375/4374, 131072/130977		\| 3025/3024, 3136/3125, 4375/4374, 131072/130977
	\| [{{~~val~~\| 316 501 734 887 1093 }}]		\| {{mapping\| 316 501 734 887 1093 }}
	\| -0.088		\| -0.088
	\| 0.267		\| 0.267
Line 53:		Line 53:
	\|-		\|-
	\| 2.3.5.7.11.13		\| 2.3.5.7.11.13
	\| 1716/1715, 2080/2079, 3025/3024, 3136/3125~~, 4096/4095~~		\| 1716/1715, 2080/2079, 2197/2187, 3025/3024, 3136/3125
	\| [{{~~val~~\| 316 501 734 887 1093 1169 }}]		\| {{mapping\| 316 501 734 887 1093 1169 }}
	\| -0.016		\| -0.016
	\| 0.293		\| 0.293
Line 64:		Line 64:
	\|+Table of rank-2 temperaments by generator		\|+Table of rank-2 temperaments by generator
	! Periods<br>per 8ve		! Periods<br>per 8ve
	! Generator~~<br>(Reduced)~~		! Generator*
	! Cents~~<br>(Reduced)~~		! Cents*
	! Associated<br>Ratio		! Associated<br>Ratio
	! Temperaments		! Temperaments
Line 92:		Line 92:
	\| 512/375		\| 512/375
	\| [[Maquila]] (5-limit)		\| [[Maquila]] (5-limit)
			\|-
			\| 1
			\| 149\316
			\| 565.82
			\| 18/13
			\| [[Threedic]]
	\|-		\|-
	\| 1		\| 1

FloraC: +link to countritonic

2023-09-06T09:43:19Z

+link to countritonic

← Older revision		Revision as of 09:43, 6 September 2023
Line 79:		Line 79:
	\| 315.19		\| 315.19
	\| 6/5		\| 6/5
	\| [[Parakleismic]]		\| [[Parakleismic]] (7-limit)
	\|-		\|-
	\| 1		\| 1
Line 91:		Line 91:
	\| 535.44		\| 535.44
	\| 512/375		\| 512/375
	\| [[Maquila]]		\| [[Maquila]] (5-limit)
			\|-
			\| 1
			\| 155\316
			\| 588.61
			\| 45927/32768
			\| [[Countritonic]] (7-limit)
	\|-		\|-
	\| 2		\| 2