Antonian - Revision history

FloraC: Update & expand

2026-10-20T10:04:51Z

Update & expand

@@ Line 6: / Line 6: @@
 | Edo join 1 = 2cd | Edo join 2 = 3d
 | Mapping = 1; 1 2 3
-| Generators = 3/2 | Generators tuning = 743.086 | Optimization method = CWE
+| Generators = 3/2 | Generators tuning = 743 | Optimization method = CWE
 | MOS scales = [[1L 1s]], [[2L 1s]], [[3L 2s]]
 | Pergen = (P8, P5)
@@ Line 12: / Line 12: @@
 | Odd limit 2 = 7 | Mistuning 2 = 161.4 | Complexity 2 = 5
 }}
-'''Antonian''' is an [[exotemperament]] that [[tempering out|tempers out]] 10/9, the classic major second, setting the [[3/2|perfect fifth (3/2)]] equal to the [[5/3|classic major sixth (5/3)]]. This temperament equates 3/2 with 5/3, [[4/3]] with [[6/5]], and [[5/4]] with [[9/8]], being even less accurate than more common archetypal exotemperaments like [[father]] or [[dicot]]. It can be represented by only [[3edo]] in its [[patent val]].
+'''Antonian''' is an [[exotemperament]] that [[tempering out|tempers out]] 10/9, the [[10/9|classic major second]]. This equates [[3/2]] with [[5/3]], [[4/3]] with [[6/5]], and [[5/4]] with [[9/8]], being even less accurate than more common archetypal exotemperaments like [[father]] or [[dicot]]. It can be represented by only [[3edo]] in its [[patent val]].
-For technical data see [[Very low accuracy temperaments #Antonian]].
+In septimal antonian, [[7/6]] is equated to 5/4 and 9/8, by tempering out [[15/14]] and [[28/27]]. An alternative extension is [[phlegyas]], which tempers out [[35/32]] and [[64/63]], so [[8/7]] is equated with 5/4 and 9/8 instead.
-== Extensions ==
+For technical data, see [[Very low accuracy temperaments #Antonian]].
-In the septimal antonian, [[7/6]] is equated to 5/4 and 9/8, by tempering out [[15/14]] and [[28/27]]. Antonym tempers out [[7/6]] and [[21/20]]. Antony tempers out [[8/7]] and [[36/35]]. Phlegyas tempers out [[35/32]] and [[64/63]].
+== Interval chain ==
 [[Category:Antonian| ]] <!-- main article -->

FloraC: + categories

2026-10-19T12:34:22Z

+ categories

← Older revision		Revision as of 12:34, 19 October 2026
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	== Extensions ==		== Extensions ==
	There are some extensions of antonian, including septimal antonian ({{nowrap\|2cd &~~amp;~~ 3d}}), antonym ({{nowrap\|2cd &~~amp;~~ 3}}), antony ({{nowrap\|2c &~~amp;~~ 3d}}), and phlegyas ({{nowrap\|2c &~~amp;~~ 3}}).		There are some extensions of antonian, including septimal antonian ({{nowrap\|2cd & 3d}}), antonym ({{nowrap\|2cd & 3}}), antony ({{nowrap\|2c & 3d}}), and phlegyas ({{nowrap\|2c & 3}}).

	In the septimal antonian, [[7/6]] is equated to 5/4 and 9/8, by tempering out [[15/14]] and [[28/27]]. Antonym tempers out [[7/6]] and [[21/20]]. Antony tempers out [[8/7]] and [[36/35]]. Phlegyas tempers out [[35/32]] and [[64/63]].		In the septimal antonian, [[7/6]] is equated to 5/4 and 9/8, by tempering out [[15/14]] and [[28/27]]. Antonym tempers out [[7/6]] and [[21/20]]. Antony tempers out [[8/7]] and [[36/35]]. Phlegyas tempers out [[35/32]] and [[64/63]].
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	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]
	[[Category:Exotemperaments]]		[[Category:Exotemperaments]]
			[[Category:Trienstonic clan]]
			[[Category:Greenwoodmic temperaments]]

Hill: Separate the comma groups with ";", as elsewhere in the field and on other regtemp pages

2026-09-08T15:19:03Z

Separate the comma groups with ";", as elsewhere in the field and on other regtemp pages

← Older revision		Revision as of 15:19, 8 September 2026
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	\| Title = Antonian		\| Title = Antonian
	\| Subgroups = 2.3.5, 2.3.5.7		\| Subgroups = 2.3.5, 2.3.5.7
	\| Comma basis = [[10/9]] (5-limit)<br>[[10/9]], [[15/14]] (7-limit)		\| Comma basis = [[10/9]] (5-limit);<br>[[10/9]], [[15/14]] (7-limit)
	\| Edo join 1 = 2cd \| Edo join 2 = 3d		\| Edo join 1 = 2cd \| Edo join 2 = 3d
	\| Mapping = 1; 1 2 3		\| Mapping = 1; 1 2 3

Overthink: better language (don't exaggerate as much as in bixby)

2026-03-02T23:03:24Z

better language (don't exaggerate as much as in bixby)

← Older revision		Revision as of 23:03, 2 March 2026
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	\| Odd limit 2 = 7 \| Mistuning 2 = 161.4 \| Complexity 2 = 5		\| Odd limit 2 = 7 \| Mistuning 2 = 161.4 \| Complexity 2 = 5
	}}		}}
	'''Antonian''' is an [[exotemperament]] that [[tempering out\|tempers out]] 10/9, the classic major second, setting the [[3/2\|perfect fifth (3/2)]] equal to the [[5/3\|classic major sixth (5/3)]]. This temperament ~~is less accurate than more common archetypal exotemperaments like [[father]] or [[dicot]], doing something with such high damage as to make~~ 3/2 ~~and~~ 5/3, [[4/3]] ~~and~~ [[6/5]], or [[5/4]] ~~and~~ [[9/8]] ~~the same interval~~. It can be represented by only [[3edo]] in its [[patent val]].		'''Antonian''' is an [[exotemperament]] that [[tempering out\|tempers out]] 10/9, the classic major second, setting the [[3/2\|perfect fifth (3/2)]] equal to the [[5/3\|classic major sixth (5/3)]]. This temperament equates 3/2 with 5/3, [[4/3]] with [[6/5]], and [[5/4]] with [[9/8]], being even less accurate than more common archetypal exotemperaments like [[father]] or [[dicot]]. It can be represented by only [[3edo]] in its [[patent val]].

	For technical data see [[Very low accuracy temperaments #Antonian]].		For technical data see [[Very low accuracy temperaments #Antonian]].

Overthink: match style with other pages

2026-02-25T06:43:58Z

match style with other pages

← Older revision		Revision as of 06:43, 25 February 2026
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	\| Title = Antonian		\| Title = Antonian
	\| Subgroups = 2.3.5, 2.3.5.7		\| Subgroups = 2.3.5, 2.3.5.7
	\| Comma basis = [[10/9]] (5-limit)<br>10/9, [[15/14]] (7-limit)		\| Comma basis = [[10/9]] (5-limit)<br>[[10/9]], [[15/14]] (7-limit)
	\| Edo join 1 = ~~2c(d)~~ \| Edo join 2 = ~~3(d)~~		\| Edo join 1 = 2cd \| Edo join 2 = 3d
	\| Mapping = 1; 1 2 3		\| Mapping = 1; 1 2 3
	\| Generators = 3/2 \| Generators tuning = 743.086 \| Optimization method = CWE		\| Generators = 3/2 \| Generators tuning = 743.086 \| Optimization method = CWE

Xenllium at 11:16, 14 February 2026

2026-02-14T11:16:19Z

← Older revision		Revision as of 11:16, 14 February 2026
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	'''Antonian''' is an [[exotemperament]] that [[tempering out\|tempers out]] 10/9, the classic major second, setting the [[3/2\|perfect fifth (3/2)]] equal to the [[5/3\|classic major sixth (5/3)]]. This temperament is less accurate than more common archetypal exotemperaments like [[father]] or [[dicot]], doing something with such high damage as to make 3/2 and 5/3, [[4/3]] and [[6/5]], or [[5/4]] and [[9/8]] the same interval. It can be represented by only [[3edo]] in its [[patent val]].		'''Antonian''' is an [[exotemperament]] that [[tempering out\|tempers out]] 10/9, the classic major second, setting the [[3/2\|perfect fifth (3/2)]] equal to the [[5/3\|classic major sixth (5/3)]]. This temperament is less accurate than more common archetypal exotemperaments like [[father]] or [[dicot]], doing something with such high damage as to make 3/2 and 5/3, [[4/3]] and [[6/5]], or [[5/4]] and [[9/8]] the same interval. It can be represented by only [[3edo]] in its [[patent val]].

	~~The canonical extension for the 7-limit is tempering out~~ [[~~15/14~~]] ~~and [[28/27]], identifying [[7/6]] with 5/4 and 9/8~~.		For technical data see [[Very low accuracy temperaments #Antonian]].

	~~For technical data see~~ [[~~Very low accuracy temperaments #Antonian~~]].		== Extensions ==
			There are some extensions of antonian, including septimal antonian ({{nowrap\|2cd & 3d}}), antonym ({{nowrap\|2cd & 3}}), antony ({{nowrap\|2c & 3d}}), and phlegyas ({{nowrap\|2c & 3}}).

			In the septimal antonian, [[7/6]] is equated to 5/4 and 9/8, by tempering out [[15/14]] and [[28/27]]. Antonym tempers out [[7/6]] and [[21/20]]. Antony tempers out [[8/7]] and [[36/35]]. Phlegyas tempers out [[35/32]] and [[64/63]].

	[[Category:Antonian\| ]] <!-- main article -->		[[Category:Antonian\| ]] <!-- main article -->
	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]
	[[Category:Exotemperaments]]		[[Category:Exotemperaments]]

Xenllium: Created page with "{{Mathematical interest}} {{Infobox regtemp | Title = Antonian | Subgroups = 2.3.5, 2.3.5.7 | Comma basis = 10/9 (5-limit)
10/9, 15/14 (7-limit) | Edo join 1 = 2c(d) | Edo join 2 = 3(d) | Mapping = 1; 1 2 3 | Generators = 3/2 | Generators tuning = 743.086 | Optimization method = CWE | MOS scales = 1L 1s, 2L 1s, 3L 2s | Pergen = (P8, P5) | Odd limit 1 = 5 | Mistuning 1 = 91.2 | Complexity 1 = 3 | Odd limit 2 = 7 | Mistuning 2 = 161.4 | Complexity 2..."

2026-02-14T05:55:45Z

Created page with "{{Mathematical interest}} {{Infobox regtemp | Title = Antonian | Subgroups = 2.3.5, 2.3.5.7 | Comma basis = 10/9 (5-limit)<br>10/9, 15/14 (7-limit) | Edo join 1 = 2c(d) | Edo join 2 = 3(d) | Mapping = 1; 1 2 3 | Generators = 3/2 | Generators tuning = 743.086 | Optimization method = CWE | MOS scales = 1L 1s, 2L 1s, 3L 2s | Pergen = (P8, P5) | Odd limit 1 = 5 | Mistuning 1 = 91.2 | Complexity 1 = 3 | Odd limit 2 = 7 | Mistuning 2 = 161.4 | Complexity 2..."

New page

{{Mathematical interest}}
{{Infobox regtemp
| Title = Antonian
| Subgroups = 2.3.5, 2.3.5.7
| Comma basis = [[10/9]] (5-limit)<br>10/9, [[15/14]] (7-limit)
| Edo join 1 = 2c(d) | Edo join 2 = 3(d)
| Mapping = 1; 1 2 3
| Generators = 3/2 | Generators tuning = 743.086 | Optimization method = CWE
| MOS scales = [[1L 1s]], [[2L 1s]], [[3L 2s]]
| Pergen = (P8, P5)
| Odd limit 1 = 5 | Mistuning 1 = 91.2 | Complexity 1 = 3
| Odd limit 2 = 7 | Mistuning 2 = 161.4 | Complexity 2 = 5
}}
'''Antonian''' is an [[exotemperament]] that [[tempering out|tempers out]] 10/9, the classic major second, setting the [[3/2|perfect fifth (3/2)]] equal to the [[5/3|classic major sixth (5/3)]]. This temperament is less accurate than more common archetypal exotemperaments like [[father]] or [[dicot]], doing something with such high damage as to make 3/2 and 5/3, [[4/3]] and [[6/5]], or [[5/4]] and [[9/8]] the same interval. It can be represented by only [[3edo]] in its [[patent val]].

The canonical extension for the 7-limit is tempering out [[15/14]] and [[28/27]], identifying [[7/6]] with 5/4 and 9/8.

For technical data see [[Very low accuracy temperaments #Antonian]].

[[Category:Antonian| ]] 
[[Category:Rank-2 temperaments]]
[[Category:Exotemperaments]]