Mystery - Revision history

FloraC: Text replacement - "Category:Hemifamity temperaments" to "Category:Aberschismic temperaments"

2026-06-06T12:39:43Z

← Older revision		Revision as of 12:39, 6 June 2026
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	[[Category:Mystery\| ]] <!-- main article -->		[[Category:Mystery\| ]] <!-- main article -->
	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]
	[[Category:~~Hemifamity~~ temperaments]]		[[Category:Aberschismic temperaments]]

2026-02-09T09:31:28Z

Cleanup on infobox

2026-02-06T05:06:55Z

Add scale

← Older revision		Revision as of 05:06, 6 February 2026
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	\|}		\|}
	<nowiki>*</nowiki> in 13-limit CWE tuning		<nowiki>*</nowiki> in 13-limit CWE tuning

			== Scales ==
			* [[Mystery58]]

	== Tunings ==		== Tunings ==

2026-01-27T04:52:45Z

subgroup is important, shouldn't be in parentheses

← Older revision		Revision as of 04:52, 27 January 2026
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	\| Color name = Quadsawati		\| Color name = Quadsawati
	\| Odd limit 1 = 9 \| Mistuning 1 = 3.20 \| Complexity 1 = 58		\| Odd limit 1 = 9 \| Mistuning 1 = 3.20 \| Complexity 1 = 58
	\| Odd limit 2 = (13-limit) 21 \| Mistuning 2 = 4.69 \| Complexity 2 = 58		\| Odd limit 2 = 13-limit 21 \| Mistuning 2 = 4.69 \| Complexity 2 = 58
	}}		}}
	'''Mystery''' is a [[regular temperament]] which takes [[29edo\|1\29]] [[period]] and adds a single [[generator]] to correct the [[harmonic]]s [[5/1\|5]], [[7/1\|7]], [[11/1\|11]], and [[13/1\|13]] to almost just qualities. It [[tempering out\|tempers out]] the [[29-comma]] in the 5-limit, [[5120/5103]] in the 7-limit, [[441/440]], [[896/891]], [[3388/3375]], and [[4000/3993]] in the 11-limit, [[196/195]], [[352/351]], [[364/363]], [[676/675]], and [[847/845]] in the 13-limit.		'''Mystery''' is a [[regular temperament]] which takes [[29edo\|1\29]] [[period]] and adds a single [[generator]] to correct the [[harmonic]]s [[5/1\|5]], [[7/1\|7]], [[11/1\|11]], and [[13/1\|13]] to almost just qualities. It [[tempering out\|tempers out]] the [[29-comma]] in the 5-limit, [[5120/5103]] in the 7-limit, [[441/440]], [[896/891]], [[3388/3375]], and [[4000/3993]] in the 11-limit, [[196/195]], [[352/351]], [[364/363]], [[676/675]], and [[847/845]] in the 13-limit.

2026-01-27T04:51:19Z

simpler ET join

← Older revision		Revision as of 04:51, 27 January 2026
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	\| Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13		\| Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13
	\| Comma basis = [[5120/5103]], [[50421/50000]] (7-limit); <br>[[441/440]], [[896/891]], [[3388/3375]] (11-limit); <br>[[196/195]], [[352/351]], [[364/363]], [[676/675]] (13-limit)		\| Comma basis = [[5120/5103]], [[50421/50000]] (7-limit); <br>[[441/440]], [[896/891]], [[3388/3375]] (11-limit); <br>[[196/195]], [[352/351]], [[364/363]], [[676/675]] (13-limit)
	\| Edo join 1 = 58 \| Edo join 2 = 87		\| Edo join 1 = 29 \| Edo join 2 = 58
	\| Mapping = 29; 0 1 1 1 1		\| Mapping = 29; 0 1 1 1 1
	\| Generator = 5/4		\| Generator = 5/4

2026-01-12T07:05:58Z

fix pergen

← Older revision		Revision as of 07:05, 12 January 2026
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	\| Optimization method = CWE		\| Optimization method = CWE
	\| MOS scales = [[29L 29s]], [[58L 29s]]		\| MOS scales = [[29L 29s]], [[58L 29s]]
	\| Pergen = (P8/29, ~~M3<sup>5</sup>~~)		\| Pergen = (P8/29, ^1)
	\| Color name = Quadsawati		\| Color name = Quadsawati
	\| Odd limit 1 = 9 \| Mistuning 1 = 3.20 \| Complexity 1 = 58		\| Odd limit 1 = 9 \| Mistuning 1 = 3.20 \| Complexity 1 = 58

2025-11-29T19:59:03Z

This is better

← Older revision		Revision as of 19:59, 29 November 2025
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	See [[Hemifamity temperaments #Mystery]] for technical details.		See [[Hemifamity temperaments #Mystery]] for technical details.
			__TOC__
	{{Clear}}		{{Clear}}
	== Interval chain ==		== Interval chain ==

2025-11-29T12:19:05Z

Adopt a formatting trick

← Older revision		Revision as of 12:19, 29 November 2025
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	\| Title = Mystery		\| Title = Mystery
	\| Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13		\| Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13
	\| Comma basis = [[5120/5103]], [[50421/50000]] (7-limit); <br>[[441/440]], [[896/891]], [[3388/3375]] (11-limit); <br>[[196/195]], [[352/351]], [[364/363]], [[676/675]] ~~<br>~~(13-limit)		\| Comma basis = [[5120/5103]], [[50421/50000]] (7-limit); <br>[[441/440]], [[896/891]], [[3388/3375]] (11-limit); <br>[[196/195]], [[352/351]], [[364/363]], [[676/675]] (13-limit)
	\| Edo join 1 = 58 \| Edo join 2 = 87		\| Edo join 1 = 58 \| Edo join 2 = 87
	\| Mapping = 29; 0 1 1 1 1		\| Mapping = 29; 0 1 1 1 1
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	See [[Hemifamity temperaments #Mystery]] for technical details.		See [[Hemifamity temperaments #Mystery]] for technical details.

			{{Clear}}
	== Interval chain ==		== Interval chain ==
	In the following table, odd harmonics 1–21 are in '''bold'''.		In the following table, odd harmonics 1–21 are in '''bold'''.

2025-11-28T07:46:31Z

Duh

← Older revision		Revision as of 07:46, 28 November 2025
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	\| Title = Mystery		\| Title = Mystery
	\| Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13		\| Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13
	\| Comma basis = [[5120/5103]], [[50421/50000]] (7-limit); <br>[[441/440]], [[896/891]], [[3388/3375]] (11-limit); <br>[[196/195]], [[352/351]], [[364/363]], [[676/675]] (13-limit)		\| Comma basis = [[5120/5103]], [[50421/50000]] (7-limit); <br>[[441/440]], [[896/891]], [[3388/3375]] (11-limit); <br>[[196/195]], [[352/351]], [[364/363]], [[676/675]] <br>(13-limit)
	\| Edo join 1 = 58 \| Edo join 2 = 87		\| Edo join 1 = 58 \| Edo join 2 = 87
	\| Mapping = 29; 0 1 1 1 1		\| Mapping = 29; 0 1 1 1 1

2025-11-28T07:43:07Z

Cleanup

← Older revision		Revision as of 07:43, 28 November 2025
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	\| Title = Mystery		\| Title = Mystery
	\| Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13		\| Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13
	\| Comma basis = [[5120/5103]], [[50421/50000]] (~~2.3.5.~~7); <br>[[441/440]], [[896/891]], [[3388/3375]] (~~2.3.5.7.~~11); <br>[[196/195]], [[352/351]], [[364/363]], [[676/675]] ~~<br>~~(~~2.3.5.7.11.~~13)		\| Comma basis = [[5120/5103]], [[50421/50000]] (7-limit); <br>[[441/440]], [[896/891]], [[3388/3375]] (11-limit); <br>[[196/195]], [[352/351]], [[364/363]], [[676/675]] (13-limit)
			\| Edo join 1 = 58 \| Edo join 2 = 87
			\| Mapping = 29; 0 1 1 1 1
	\| Generator = 5/4		\| Generator = 5/4
	\| ~~Mapping~~ = 29; ~~0 1 1 1 1~~		\| Generator tuning = 387.9
			\| Optimization method = CWE
			\| MOS scales = [[29L 29s]], [[58L 29s]]
	\| Pergen = (P8/29, M3<sup>5</sup>)		\| Pergen = (P8/29, M3<sup>5</sup>)
	\| Color name = Quadsawati		\| Color name = Quadsawati
	~~\| Edo join 1 = 58 \| Edo join 2 = 87~~
	~~\| Optimization method = CWE~~
	~~\| Generator tuning = 387.9~~
	~~\| MOS scales = [[29L 29s]], [[58L 29s]]~~
	\| Odd limit 1 = 9 \| Mistuning 1 = 3.20 \| Complexity 1 = 58		\| Odd limit 1 = 9 \| Mistuning 1 = 3.20 \| Complexity 1 = 58
	\| Odd limit 2 = (13-limit) 21 \| Mistuning 2 = 4.69 \| Complexity 2 = 58		\| Odd limit 2 = (13-limit) 21 \| Mistuning 2 = 4.69 \| Complexity 2 = 58