Mint temperaments - Revision history

FloraC: No septimal dicot anymore!

2026-05-29T10:15:24Z

No septimal dicot anymore!

← Older revision		Revision as of 10:15, 29 May 2026
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	* [[Dominant (temperament)\|Dominant]] (+64/63) → [[Meantone family #Dominant\|Meantone family]]		* [[Dominant (temperament)\|Dominant]] (+64/63) → [[Meantone family #Dominant\|Meantone family]]
	* ''[[Armodue (temperament)\|Armodue]]'' (+135/128) → [[Mavila family #Armodue\|Mavila family]]		* ''[[Armodue (temperament)\|Armodue]]'' (+135/128) → [[Mavila family #Armodue\|Mavila family]]
	* ''[[~~Dicot~~]]'' (+25/24) → [[Dicot family\|Dicot family]]		* ''[[Mujannabic]]'' (+25/24) → [[Dicot family #Mujannabic\|Dicot family]]
	* [[Beep]] (+21/20) → [[Bug family #Beep\|Bug family]]		* [[Beep]] (+21/20) → [[Bug family #Beep\|Bug family]]
	* ''[[August]]'' (+128/125) → [[Augmented family #August\|Augmented family]]		* ''[[August]]'' (+128/125) → [[Augmented family #August\|Augmented family]]

BudjarnLambeth at 12:46, 6 May 2026

2026-05-06T12:46:02Z

← Older revision		Revision as of 12:46, 6 May 2026
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	* ''[[Smate]]'' (+2048/1875) → [[Smate family #Septimal smate\|Smate family]]		* ''[[Smate]]'' (+2048/1875) → [[Smate family #Septimal smate\|Smate family]]
	* ''[[Darkstone]]'' (+1875/1792) → [[Magic family #Darkstone\|Magic family]]		* ''[[Darkstone]]'' (+1875/1792) → [[Magic family #Darkstone\|Magic family]]
	* ''[[~~Ripple~~]]'' (+2560/2401) → [[Ripple family #~~Septimal ripple~~\|Ripple family]]		* ''[[Rip]]'' (+2560/2401) → [[Ripple family #Rip\|Ripple family]]
	* ''[[Whitewood]]'' (+2187/2048) → [[Whitewood family #Septimal whitewood\|Whitewood family]]		* ''[[Whitewood]]'' (+2187/2048) → [[Whitewood family #Septimal whitewood\|Whitewood family]]

FloraC: + intros

2026-03-10T09:51:56Z

+ intros

← Older revision		Revision as of 09:51, 10 March 2026
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	: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Lafayette]].''		: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Lafayette]].''

	~~Progression, named~~ by [[Gene Ward Smith]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18891.html Yahoo! Tuning Group \| ''Progression temperament'']</ref> can be described as the 8d & 9 temperament, and [[17edo]] is an obvious tuning for it.		Named by [[Gene Ward Smith]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18891.html Yahoo! Tuning Group \| ''Progression temperament'']</ref>, progression can be described as the {{nowrap\| 8d & 9 }} temperament. It has a generator that is a somewhat flat neutral second, three make [[5/4]], five make [[3/2]], and seven make [[7/4]], with a [[ploidacot]] signature of pentacot. [[17edo]] is an obvious tuning for it.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
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	== Subklei ==		== Subklei ==
	: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Delorean]].''		: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Delorean]].''

			Subklei is likely named for its flatter minor third generator than [[kleismic]]. It tempers out [[1029/1000]] as well as [[2401/2400]] and can be described as {{nowrap\| 17c & 21 }}. Its [[ploidacot]] is delta-hexacot. Note that in the data below, the generator is the [[5/3]][[~]][[12/7]] major sixth, so that six generators minus four octaves give the [[3/2\|perfect fifth]].

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
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	== Naian ==		== Naian ==
	: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Naian]].''		: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Naian]].''

			Named by [[Xenllium]] in 2026, naian may be described as {{nowrap\| 8d & 21 }} with a [[ploidacot]] signature of epsilon-enneacot.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
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	== Slurpee ==		== Slurpee ==
	: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Slurpee]].''		: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Slurpee]].''

			Slurpee may be described as the {{nowrap\| 16 & 17c }} temperament. It has a generator that is a somewhat flat semitone of [[~]][[21/20]], three make [[8/7]], seven make [[4/3]], and eleven make [[8/5]], with a [[ploidacot]] signature of omega-heptacot.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
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	== Shallowtone ==		== Shallowtone ==
			{{Main\| Shallowtone }}
	: ''For the 5-limit version, see [[Syntonic–chromatic equivalence continuum #Shallowtone (5-limit)]].''		: ''For the 5-limit version, see [[Syntonic–chromatic equivalence continuum #Shallowtone (5-limit)]].''

FloraC: - CTE & POTE tunings

2026-03-10T09:25:16Z

- CTE & POTE tunings

Show changes

FloraC: Switch to WE & CWE tunings

2026-03-10T09:24:14Z

Switch to WE & CWE tunings

Show changes

FloraC: Units & misc. cleanup. - redundant category

2026-03-10T07:05:32Z

Units & misc. cleanup. - redundant category

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Xenllium: /* Naian */

2026-02-01T23:03:23Z

Naian

← Older revision		Revision as of 23:03, 1 February 2026
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	Subgroup: 2.3.5.7.11.13		Subgroup: 2.3.5.7.11.13

	Comma list: 36/35, 56/55, 66/65, ~~1001~~/~~1000~~		Comma list: 36/35, 56/55, 66/65, 507/500

	Mapping: {{mapping\| 1 5 5 7 5 6 \| 0 -9 -7 -11 -4 -6 }}		Mapping: {{mapping\| 1 5 5 7 5 6 \| 0 -9 -7 -11 -4 -6 }}
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	Badness (Sintel): 1.5538		Badness (Sintel): 1.5538

			=== 17-limit ===
			Subgroup: 2.3.5.7.11.13.17

			Comma list: 36/35, 51/50, 56/55, 66/65, 170/169

			Mapping: {{mapping\| 1 5 5 7 5 6 6 \| 0 -9 -7 -11 -4 -6 -5 }}

			Optimal tunings:
			* CTE: ~2 = 1200.000, ~13/10 = 456.821
			* CWE: ~2 = 1200.000, ~13/10 = 455.732

			{{Optimal ET sequence\|legend=0\| 8d, 13b, 21 }}

			Badness (Sintel): 1.4332

	== Slurpee ==		== Slurpee ==

Xenllium at 22:33, 1 February 2026

2026-02-01T22:33:10Z

← Older revision		Revision as of 22:33, 1 February 2026
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	Badness (Sintel): 1.5166		Badness (Sintel): 1.5166

			== Naian ==
			: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Naian]].''

			[[Subgroup]]: 2.3.5.7

			[[Comma list]]: 36/35, 9604/9375

			{{Mapping\|legend=1\| 1 5 5 7 \| 0 -9 -7 -11 }}

			: mapping generators: ~2, ~98/75

			[[Optimal tuning]]s:
			* [[CTE]]: ~2 = 1200.000, ~98/75 = 456.494
			: [[error map]]: {{val\| 0.000, -10.401, +18.228, +9.740 }}
			* [[CWE]]: ~2 = 1200.000, ~98/75 = 456.012
			: error map: {{val\| 0.000, -6.059, +21.606, +15.047 }}

			{{Optimal ET sequence\|legend=1\| 8d, 13b, 21 }}

			[[Badness]] (Sintel): 2.8912

			=== 11-limit ===
			Subgroup: 2.3.5.7.11

			Comma list: 36/35, 56/55, 2541/2500

			Mapping: {{mapping\| 1 5 5 7 5 \| 0 -9 -7 -11 -4 }}

			Optimal tunings:
			* CTE: ~2 = 1200.000, ~77/60 = 456.625
			* CWE: ~2 = 1200.000, ~77/60 = 455.798

			{{Optimal ET sequence\|legend=0\| 8d, 13b, 21 }}

			Badness (Sintel): 1.9522

			=== 13-limit ===
			Subgroup: 2.3.5.7.11.13

			Comma list: 36/35, 56/55, 66/65, 1001/1000

			Mapping: {{mapping\| 1 5 5 7 5 6 \| 0 -9 -7 -11 -4 -6 }}

			Optimal tunings:
			* CTE: ~2 = 1200.000, ~13/10 = 456.767
			* CWE: ~2 = 1200.000, ~13/10 = 455.730

			{{Optimal ET sequence\|legend=0\| 8d, 13b, 21 }}

			Badness (Sintel): 1.5538

	== Slurpee ==		== Slurpee ==

Xenllium at 22:15, 1 February 2026

2026-02-01T22:15:20Z

Show changes

FloraC: Text replacement - "Category:Temperament collections↵Category:Pages with mostly numerical content" to "Category:Temperament collections"

2025-11-27T12:28:48Z

Text replacement - "Category:Temperament collections↵Category:Pages with mostly numerical content" to "Category:Temperament collections"

← Older revision		Revision as of 12:28, 27 November 2025
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	[[Category:Temperament collections]]		[[Category:Temperament collections]]
	~~[[Category:Pages with mostly numerical content]]~~
	[[Category:Mint temperaments\| ]] <!-- main article -->		[[Category:Mint temperaments\| ]] <!-- main article -->
	[[Category:Mint\| ]] <!-- key article -->		[[Category:Mint\| ]] <!-- key article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

← Older revision		Revision as of 10:15, 29 May 2026
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	* [[Dominant (temperament)\|Dominant]] (+64/63) → [[Meantone family #Dominant\|Meantone family]]		* [[Dominant (temperament)\|Dominant]] (+64/63) → [[Meantone family #Dominant\|Meantone family]]
	* ''[[Armodue (temperament)\|Armodue]]'' (+135/128) → [[Mavila family #Armodue\|Mavila family]]		* ''[[Armodue (temperament)\|Armodue]]'' (+135/128) → [[Mavila family #Armodue\|Mavila family]]
	* ''[[~~Dicot~~]]'' (+25/24) → [[Dicot family\|Dicot family]]		* ''[[Mujannabic]]'' (+25/24) → [[Dicot family #Mujannabic\|Dicot family]]
	* [[Beep]] (+21/20) → [[Bug family #Beep\|Bug family]]		* [[Beep]] (+21/20) → [[Bug family #Beep\|Bug family]]
	* ''[[August]]'' (+128/125) → [[Augmented family #August\|Augmented family]]		* ''[[August]]'' (+128/125) → [[Augmented family #August\|Augmented family]]

← Older revision		Revision as of 12:46, 6 May 2026
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	* ''[[Smate]]'' (+2048/1875) → [[Smate family #Septimal smate\|Smate family]]		* ''[[Smate]]'' (+2048/1875) → [[Smate family #Septimal smate\|Smate family]]
	* ''[[Darkstone]]'' (+1875/1792) → [[Magic family #Darkstone\|Magic family]]		* ''[[Darkstone]]'' (+1875/1792) → [[Magic family #Darkstone\|Magic family]]
	* ''[[~~Ripple~~]]'' (+2560/2401) → [[Ripple family #~~Septimal ripple~~\|Ripple family]]		* ''[[Rip]]'' (+2560/2401) → [[Ripple family #Rip\|Ripple family]]
	* ''[[Whitewood]]'' (+2187/2048) → [[Whitewood family #Septimal whitewood\|Whitewood family]]		* ''[[Whitewood]]'' (+2187/2048) → [[Whitewood family #Septimal whitewood\|Whitewood family]]