Father - Revision history

Xenllium at 05:14, 14 February 2026

2026-02-14T05:14:01Z

@@ Line 1: / Line 1: @@
 {{About|the regular temperament|the scale structure sometimes associated with it|5L 3s}}
+{{Infobox regtemp
 '''Father''' is a very coarse, simplistic, and inaccurate [[exotemperament]]. It [[tempering out|tempers out]] [[16/15]], the classical diatonic semitone. This means the [[5/4|classical major third (5/4)]] is conflated with the [[4/3|perfect fourth (4/3)]], making it one that challenges the very notion of JI approximation, and playing harmony in it, it sounds only remotely reminiscent of the [[5-limit]] no matter how it is tuned. If one could get their head around this way of hearing intervals, they may as well take a look at the 7-limit interpretation, where it tempers out [[28/27]] and [[36/35]].

VectorGraphics at 01:35, 22 November 2025

2025-11-22T01:35:13Z

← Older revision		Revision as of 01:35, 22 November 2025
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	The main interest in this temperament is its [[mos scale]]s, as [[3L 2s\|antipentic (3L 2s)]] and [[5L 3s\|oneirotonic (5L 3s)]] are often chosen first, and only later is each step associated with a ratio consistent with this temperament. Another potential reason to choose this temperament is to equate suspended chords and more conventional tertian chords (though options like [[trienstonian]] (4/3~9/7), [[blackwood]] (4/3~81/64), and [[fendo]] (4/3~13/10) are more accurate).		The main interest in this temperament is its [[mos scale]]s, as [[3L 2s\|antipentic (3L 2s)]] and [[5L 3s\|oneirotonic (5L 3s)]] are often chosen first, and only later is each step associated with a ratio consistent with this temperament. Another potential reason to choose this temperament is to equate suspended chords and more conventional tertian chords (though options like [[trienstonian]] (4/3~9/7), [[blackwood]] (4/3~81/64), and [[fendo]] (4/3~13/10) are more accurate).

	As an exotemperament, it has a large range of acceptable tunings, from roughly [[5edo\|3\5]] (720{{c}}) to [[3edo\|2\3]] (800{{c}}). However, only tunings between 3\5 and [[8edo\|5\8]] (750{{c}}) generate oneirotonic scales.		As an exotemperament, it has a large range of acceptable tunings, from roughly [[5edo\|3\5]] (720{{c}}) to [[3edo\|2\3]] (800{{c}}). However, only tunings between 3\5 and [[8edo\|5\8]] (750{{c}}) generate oneirotonic scales, which are the primary structure it represents as an exotemperament.

	See [[Father family #Father]] for technical details.		See [[Father family #Father]] for technical details.

FloraC: Text replacement - "prime-optimized" to "norm-based"

2025-09-12T14:05:59Z

Text replacement - "prime-optimized" to "norm-based"

← Older revision		Revision as of 14:05, 12 September 2025
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	== Tunings ==		== Tunings ==
	{\| class="wikitable mw-collapsible mw-collapsed"		{\| class="wikitable mw-collapsible mw-collapsed"
	\|+ style="font-size: 105%; white-space: nowrap;" \| 5-limit ~~prime~~-~~optimized~~ tunings		\|+ style="font-size: 105%; white-space: nowrap;" \| 5-limit norm-based tunings
	\|-		\|-
	! rowspan="2" \|		! rowspan="2" \|
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	{\| class="wikitable mw-collapsible mw-collapsed"		{\| class="wikitable mw-collapsible mw-collapsed"
	\|+ style="font-size: 105%; white-space: nowrap;" \| 7-limit ~~prime~~-~~optimized~~ tunings		\|+ style="font-size: 105%; white-space: nowrap;" \| 7-limit norm-based tunings
	\|-		\|-
	! rowspan="2" \|		! rowspan="2" \|

FloraC: /* Tunings */ note 5-limit CEE & CSEE

2025-07-19T15:18:50Z

Tunings: note 5-limit CEE & CSEE

← Older revision		Revision as of 15:18, 19 July 2025
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	\| 5\8 \|\| \|\| 750.0 \|\| Upper bound of 7-odd-limit diamond monotone		\| 5\8 \|\| \|\| 750.0 \|\| Upper bound of 7-odd-limit diamond monotone
	\|-		\|-
	\| \|\| 5/3 \|\| 757.8 \|\| 1/2-comma, 5-odd-limit minimax		\| \|\| 5/3 \|\| 757.8 \|\| 1/2-comma, 5-odd-limit minimax, 5-limit CEE & CSEE
	\|-		\|-
	\| \|\| 9/7 \|\| 764.9 \|\| 9-odd-limit minimax		\| \|\| 9/7 \|\| 764.9 \|\| 9-odd-limit minimax

FloraC: + tunings

2025-07-19T15:15:59Z

+ tunings

@@ Line 31: / Line 31: @@
 == Tunings ==
 === Tuning spectrum ===
 {| class="wikitable center-all left-4"

FloraC: /* Interval chain */ +1 genstep for a mos

2025-07-19T15:12:03Z

Interval chain: +1 genstep for a mos

← Older revision		Revision as of 15:12, 19 July 2025
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	\|-		\|-
	\| 4 \|\| 553.8 \|\| 7/5		\| 4 \|\| 553.8 \|\| 7/5
			\|-
			\| 5 \|\| 92.2 \|\| 21/20
	\|}		\|}
	<nowiki />* In 7-limit CWE tuning		<nowiki />* In 7-limit CWE tuning

FloraC: Switch to CWE tunings

2025-07-19T15:08:14Z

Switch to CWE tunings

← Older revision		Revision as of 15:08, 19 July 2025
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	\| 0 \|\| 0.0 \|\| '''1/1'''		\| 0 \|\| 0.0 \|\| '''1/1'''
	\|-		\|-
	\| 1 \|\| ~~727~~.9 \|\| '''3/2''', '''8/5''', 14/9		\| 1 \|\| 738.4 \|\| '''3/2''', '''8/5''', 14/9
	\|-		\|-
	\| 2 \|\| ~~255~~.7 \|\| 6/5, 7/6, '''9/8'''		\| 2 \|\| 276.9 \|\| 6/5, 7/6, '''9/8'''
	\|-		\|-
	\| 3 \|\| ~~983~~.6 \|\| '''7/4''', 9/5		\| 3 \|\| 1015.3 \|\| '''7/4''', 9/5
	\|-		\|-
	\| 4 \|\| ~~511~~.4 \|\| 7/5		\| 4 \|\| 553.8 \|\| 7/5
	\|}		\|}
	<nowiki />* In 7-limit ~~CTE~~ tuning		<nowiki />* In 7-limit CWE tuning

	== Tunings ==		== Tunings ==
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	{\| class="wikitable center-all left-4"		{\| class="wikitable center-all left-4"
	\|-		\|-
	! Edo<br />~~Generator~~ !! Eigenmonzo<br />(Unchanged-interval)* !! Generator (¢) !! Comments		! Edo<br>generator !! Eigenmonzo<br>(Unchanged-interval)* !! Generator (¢) !! Comments
	\|-		\|-
	\| 1\2 \|\| \|\| 600.0 \|\| Lower bound of 5-odd-limit diamond monotone		\| 1\2 \|\| \|\| 600.0 \|\| Lower bound of 5-odd-limit diamond monotone

FloraC: - parent category

2025-04-28T14:07:25Z

- parent category

← Older revision		Revision as of 14:07, 28 April 2025
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	* ''[[Noodles adorno foucault]]''		* ''[[Noodles adorno foucault]]''

	~~[[Category:Temperaments]]~~
	[[Category:Father\| ]] <!-- Main article -->		[[Category:Father\| ]] <!-- Main article -->
	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]
			[[Category:Exotemperaments]]
	[[Category:Father family]]		[[Category:Father family]]
	[[Category:Trienstonic clan]]		[[Category:Trienstonic clan]]
	[[Category:Mint temperaments]]		[[Category:Mint temperaments]]
	~~[[Category:Exotemperaments]]~~

FloraC: The main interest can't be generalized to all exotemps. - "common tuning" cuz there are few pieces written in this temp. Objectively describe the consequence of these tunings instead. Misc. cleanup and updates

2025-04-26T11:29:31Z

The main interest can't be generalized to all exotemps. - "common tuning" cuz there are few pieces written in this temp. Objectively describe the consequence of these tunings instead. Misc. cleanup and updates

← Older revision		Revision as of 11:29, 26 April 2025
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	{{About\|the regular temperament\|the scale structure sometimes associated with it\|5L 3s}}		{{About\|the regular temperament\|the scale structure sometimes associated with it\|5L 3s}}

	'''Father''' is a very coarse, simplistic, and inaccurate [[exotemperament]]. It [[~~Tempering~~ out\|tempers out]] [[16/15]], the classical diatonic semitone. This means the [[5/4\|classical major third (5/4)]] is conflated with the [[4/3\|perfect fourth (4/3)]], making it one that challenges the very notion of JI approximation, and playing harmony in it, it sounds only remotely reminiscent of the [[5-limit]] no matter how it is tuned. If one could get their head around this way of hearing intervals, they may as well take a look at the 7-limit interpretation, where it tempers out [[28/27]] and [[36/35]].		'''Father''' is a very coarse, simplistic, and inaccurate [[exotemperament]]. It [[tempering out\|tempers out]] [[16/15]], the classical diatonic semitone. This means the [[5/4\|classical major third (5/4)]] is conflated with the [[4/3\|perfect fourth (4/3)]], making it one that challenges the very notion of JI approximation, and playing harmony in it, it sounds only remotely reminiscent of the [[5-limit]] no matter how it is tuned. If one could get their head around this way of hearing intervals, they may as well take a look at the 7-limit interpretation, where it tempers out [[28/27]] and [[36/35]].

	~~As an exotemperament, there are a variety of acceptable tunings for father, ranging from roughly 720¢ to 800¢. However, since the~~ main interest in ~~an exotemperament~~ is ~~usually~~ its [[mos scale]]s, [[3L 2s\|antipentic (3L 2s)]] and [[5L 3s\|oneirotonic (5L 3s)]] are often chosen first, and only later is each step associated with a ratio consistent with this temperament~~; this means that the most common tunings of father are between 720 and 750 cents~~. A potential reason to choose ~~father as a~~ temperament is to equate suspended chords and more conventional tertian chords (though options like [[~~Trienstonic clan\|trienstonic~~]] (4/3~9/7), [[blackwood]] (4/3~81/64), and [[fendo]] (4/3~13/10) are more accurate).		The main interest in this temperament is its [[mos scale]]s, as [[3L 2s\|antipentic (3L 2s)]] and [[5L 3s\|oneirotonic (5L 3s)]] are often chosen first, and only later is each step associated with a ratio consistent with this temperament. Another potential reason to choose this temperament is to equate suspended chords and more conventional tertian chords (though options like [[trienstonian]] (4/3~9/7), [[blackwood]] (4/3~81/64), and [[fendo]] (4/3~13/10) are more accurate).

	~~See~~ [[~~Father family #Father~~]] and [[~~Trienstonic clan~~ #Father]] for technical details.		As an exotemperament, it has a large range of acceptable tunings, from roughly [[5edo\|3\5]] (720{{c}}) to [[3edo\|2\3]] (800{{c}}). However, only tunings between 3\5 and [[8edo\|5\8]] (750{{c}}) generate oneirotonic scales.

			See [[Father family #Father]] for technical details.

	== Interval chain ==		== Interval chain ==
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	{\| class="wikitable center-1 right-2"		{\| class="wikitable center-1 right-2"
	\|-		\|-
	! &#~~35;~~ !! Cents* !! Approximate ~~Ratios~~		! # !! Cents* !! Approximate ratios
	\|-		\|-
	\| 0 \|\| 0.0 \|\| '''1/1'''		\| 0 \|\| 0.0 \|\| '''1/1'''

VectorGraphics at 00:13, 26 April 2025

2025-04-26T00:13:55Z

← Older revision		Revision as of 00:13, 26 April 2025
Line 3:		Line 3:
	'''Father''' is a very coarse, simplistic, and inaccurate [[exotemperament]]. It [[Tempering out\|tempers out]] [[16/15]], the classical diatonic semitone. This means the [[5/4\|classical major third (5/4)]] is conflated with the [[4/3\|perfect fourth (4/3)]], making it one that challenges the very notion of JI approximation, and playing harmony in it, it sounds only remotely reminiscent of the [[5-limit]] no matter how it is tuned. If one could get their head around this way of hearing intervals, they may as well take a look at the 7-limit interpretation, where it tempers out [[28/27]] and [[36/35]].		'''Father''' is a very coarse, simplistic, and inaccurate [[exotemperament]]. It [[Tempering out\|tempers out]] [[16/15]], the classical diatonic semitone. This means the [[5/4\|classical major third (5/4)]] is conflated with the [[4/3\|perfect fourth (4/3)]], making it one that challenges the very notion of JI approximation, and playing harmony in it, it sounds only remotely reminiscent of the [[5-limit]] no matter how it is tuned. If one could get their head around this way of hearing intervals, they may as well take a look at the 7-limit interpretation, where it tempers out [[28/27]] and [[36/35]].

	~~The~~ main interest in ~~this temperament~~ is in its [[mos scale]]s, ~~featuring~~ [[3L 2s\|antipentic (3L 2s)]] and [[5L 3s\|oneirotonic (5L 3s)]] ~~when properly tuned. It is likely the case that those scales~~ are often chosen first, and only later is each step associated with a ratio consistent with this temperament~~: a~~ common reason to choose father as a temperament is to ~~justify using~~ suspended chords ~~as the main form of harmony~~, ~~as in 5edo or 13edo~~.		As an exotemperament, there are a variety of acceptable tunings for father, ranging from roughly 720¢ to 800¢. However, since the main interest in an exotemperament is usually its [[mos scale]]s, [[3L 2s\|antipentic (3L 2s)]] and [[5L 3s\|oneirotonic (5L 3s)]] are often chosen first, and only later is each step associated with a ratio consistent with this temperament; this means that the most common tunings of father are between 720 and 750 cents. A potential reason to choose father as a temperament is to equate suspended chords and more conventional tertian chords (though options like [[Trienstonic clan\|trienstonic]] (4/3~9/7), [[blackwood]] (4/3~81/64), and [[fendo]] (4/3~13/10) are more accurate).

	See [[Father family #Father]] and [[Trienstonic clan #Father]] for technical details.		See [[Father family #Father]] and [[Trienstonic clan #Father]] for technical details.