Landscape microtemperaments - Revision history

FloraC: Update links

2026-09-10T08:43:29Z

Update links

← Older revision		Revision as of 08:43, 10 September 2026
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	* ''[[Sextile]]'' (+33554432/33480783) → [[Garischismic clan #Sextile\|Garischismic clan]]		* ''[[Sextile]]'' (+33554432/33480783) → [[Garischismic clan #Sextile\|Garischismic clan]]
	* ''[[Tritricot]]'' (+{{monzo\| 35 -23 -3 3 }}) → [[Alphatricot family #Tritricot\|Alphatricot family]]		* ''[[Tritricot]]'' (+{{monzo\| 35 -23 -3 3 }}) → [[Alphatricot family #Tritricot\|Alphatricot family]]
	* [[Compton]] (+225/224) → [[Compton family #Compton\|Compton family]]
	* ''[[Terture]]'' (+359661568/358722675) → [[Vulture family #Terture\|Vulture family]]		* ''[[Terture]]'' (+359661568/358722675) → [[Vulture family #Terture\|Vulture family]]
	* ''[[Pentadecal]]'' (+875/864) → [[Keemic temperaments #Pentadecal\|Keemic temperaments]]		* ''[[Pentadecal]]'' (+875/864) → [[Keemic temperaments #Pentadecal\|Keemic temperaments]]
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	* ''[[Trivish]]'' (+134217728/133984375) → [[Vishnu family #Trivish\|Vishnu family]]		* ''[[Trivish]]'' (+134217728/133984375) → [[Vishnu family #Trivish\|Vishnu family]]
	* ''[[Domain (temperament)\|Domain]]'' (+645700815/645657712) → [[Minortone family #Domain\|Minortone family]]		* ''[[Domain (temperament)\|Domain]]'' (+645700815/645657712) → [[Minortone family #Domain\|Minortone family]]
	* ''[[Aemilic]]'' (+{{monzo\|-84 53}}) → [[~~159th-octave temperaments~~ #Aemilic\|~~159th-octave temperaments~~]]		* [[Compton]] (+225/224) → [[Compton family #Compton\|Compton family]]
			* ''[[Aemilic]]'' (+{{monzo\|-84 53}}) → [[Mercator family #Aemilic\|Mercator family]]

	Considered below are septichrome, akjayland, pnict, atomic, slendscape, avicenna, zinc, magnesium, poe, chromium, and phosphorus in the order of increasing [[badness]].		Considered below are septichrome, akjayland, pnict, atomic, slendscape, avicenna, zinc, magnesium, poe, chromium, and phosphorus in the order of increasing [[badness]].

FloraC: Recategorize

2026-08-15T07:57:16Z

Recategorize

← Older revision		Revision as of 07:57, 15 August 2026
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	[[Badness]] (Sintel): 9.66		[[Badness]] (Sintel): 9.66

			[[Category:Landscape microtemperaments\| ]] <!-- main article -->
	[[Category:Temperament collections]]		[[Category:Temperament collections]]
	[[Category:~~Landscape microtemperaments\| ]] <!~~-~~- main article -->~~		[[Category:Catalogs of rank-2 temperaments]]
	~~[[Category:Rank~~ 2]]

Eliora: /* 2.3.5.7.11.13.19 subgroup */ link to oyster more directly for discoverability, that subgroup wasn't plucked arbitrarily

2026-08-05T02:35:21Z

2.3.5.7.11.13.19 subgroup: link to oyster more directly for discoverability, that subgroup wasn't plucked arbitrarily

← Older revision		Revision as of 02:35, 5 August 2026
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	==== 2.3.5.7.11.13.19 subgroup ====		==== 2.3.5.7.11.13.19 subgroup ====
			A 2.7.11.19 restriction worth considering is [[30th-octave temperaments#Oyster\|oyster]].

	Subgroup: 2.3.5.7.11.13.19		Subgroup: 2.3.5.7.11.13.19

Eliora: /* Hafnium */

2026-08-02T17:14:32Z

Hafnium

← Older revision		Revision as of 17:14, 2 August 2026
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	==== Hafnium ====		==== Hafnium ====
	Hafnium (1224 & 4320), named after the 72nd element, splits the 1/12-octave period into six 1/72-octave parts. Since 4320edo and 5544edo have good 31st and 37th harmonics, addition of these primes are also prescribed. In the add-37 version, [[37/22]] is mapped to exact 3\4.		Hafnium (1224 & 4320), named after the 72nd element, splits the 1/12-octave period into six 1/72-octave parts. Since 4320edo and 5544edo have good 31st and 37th harmonics, addition of these primes are also prescribed. In the add-37 version, [[37/22]] is mapped to exact 3\4 (see also [[Berylic]]).

	Subgroup: 2.3.5.7.11.13		Subgroup: 2.3.5.7.11.13

FloraC: /* Zinc */ - dual name for the no-17 19-limit extension

2026-07-05T07:45:03Z

Zinc: - dual name for the no-17 19-limit extension

← Older revision		Revision as of 07:45, 5 July 2026
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	Badness (Sintel): 0.640		Badness (Sintel): 0.640

	==== 2.3.5.7.11.13.19 subgroup ~~(neozinc)~~ ====		==== 2.3.5.7.11.13.19 subgroup ====
	Subgroup: 2.3.5.7.11.13.19		Subgroup: 2.3.5.7.11.13.19

FloraC: /* Zinc */ update

2026-07-05T07:44:28Z

Zinc: update

← Older revision		Revision as of 07:44, 5 July 2026
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	== Zinc ==		== Zinc ==
	~~{{See also\| 10th-octave temperaments #Neon }}~~		Zinc maybe described as the {{nowrap\| 270 & 2190 }} temperament, and is a [[weak extension]] of [[miscellaneous 5-limit temperaments #Neon\|neon]]. It was named by [[Eliora]] in 2023 after the 30th element for having a 30th-octave period.

	Zinc maybe described as the {{nowrap\| 270 & 2190 }} temperament. It was named by [[Eliora]] in 2023 after the 30th element for having a 30th-octave period.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7

FloraC: /* Phosphorus */ switch to Sintel's badness, WE & CWE tunings

2026-06-28T11:04:35Z

Phosphorus: switch to Sintel's badness, WE & CWE tunings

← Older revision		Revision as of 11:04, 28 June 2026
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	: mapping generators: ~{{monzo\| -21 34 4 -15 }}, ~210827008/199290375		: mapping generators: ~{{monzo\| -21 34 4 -15 }}, ~210827008/199290375

	[[Optimal tuning]] ([[~~CTE~~]]): ~{{monzo\|-21 34 4 -15}} = 80.~~0000~~, ~28/27 = 62.~~9267~~		[[Optimal tuning]]s:
			* [[WE]]: ~{{monzo\|-21 34 4 -15}} = 80.000039{{c}}, ~210827008/199290375 = 97.073339{{c}}
			: [[error map]]: {{val\| +0.0006 -0.0013 +0.0330 -0.0392 }}
			* [[CWE]]: ~{{monzo\|-21 34 4 -15}} = 80.000000{{c}}, ~210827008/199290375 = 97.073314{{c}}
			: error map: {{val\| 0.0000 -0.0019 +0.0323 -0.0400 }}

	{{Optimal ET sequence\|legend=1\| 1125, 1335, 2460 }}		{{Optimal ET sequence\|legend=1\| 210, …, 1125, 1335, 2460 }}

	[[Badness]]: 0.~~381587~~		[[Badness]] (Sintel): 9.66

	[[Category:Temperament collections]]		[[Category:Temperament collections]]
	[[Category:Landscape microtemperaments\| ]] <!-- main article -->		[[Category:Landscape microtemperaments\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

FloraC: Move phosphorus here

2026-06-28T10:54:51Z

Move phosphorus here

← Older revision		Revision as of 10:54, 28 June 2026
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	* ''[[Aemilic]]'' (+{{monzo\|-84 53}}) → [[159th-octave temperaments #Aemilic\|159th-octave temperaments]]		* ''[[Aemilic]]'' (+{{monzo\|-84 53}}) → [[159th-octave temperaments #Aemilic\|159th-octave temperaments]]

	Considered below are septichrome, akjayland, pnict, atomic, slendscape, avicenna, zinc, magnesium, poe, and ~~chromium~~ in the order of increasing [[badness]].		Considered below are septichrome, akjayland, pnict, atomic, slendscape, avicenna, zinc, magnesium, poe, chromium, and phosphorus in the order of increasing [[badness]].

	== Septichrome ==		== Septichrome ==
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	Badness (Sintel): 1.06		Badness (Sintel): 1.06

			== Phosphorus ==
			[[Subgroup]]: 2.3.5.7

			[[Comma list]]: 250047/250000, {{monzo\| 60 -96 1 32 }}

			[[Mapping]]: {{mapping\| 15 8 -4 -4 \| 0 13 32 38 }}
			: mapping generators: ~{{monzo\| -21 34 4 -15 }}, ~210827008/199290375

			[[Optimal tuning]] ([[CTE]]): ~{{monzo\|-21 34 4 -15}} = 80.0000, ~28/27 = 62.9267

			{{Optimal ET sequence\|legend=1\| 1125, 1335, 2460 }}

			[[Badness]]: 0.381587

	[[Category:Temperament collections]]		[[Category:Temperament collections]]
	[[Category:Landscape microtemperaments\| ]] <!-- main article -->		[[Category:Landscape microtemperaments\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

FloraC at 12:59, 25 June 2026

2026-06-25T12:59:43Z

← Older revision		Revision as of 12:59, 25 June 2026
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	* ''[[Tritricot]]'' (+{{monzo\| 35 -23 -3 3 }}) → [[Alphatricot family #Tritricot\|Alphatricot family]]		* ''[[Tritricot]]'' (+{{monzo\| 35 -23 -3 3 }}) → [[Alphatricot family #Tritricot\|Alphatricot family]]
	* [[Compton]] (+225/224) → [[Compton family #Compton\|Compton family]]		* [[Compton]] (+225/224) → [[Compton family #Compton\|Compton family]]
	* ''[[Terture]]'' (+359661568/358722675) → [[Vulture family #~~Domain~~\|Vulture family]]		* ''[[Terture]]'' (+359661568/358722675) → [[Vulture family #Terture\|Vulture family]]
	* ''[[Chromat]]'' (10976/10935) → [[~~Hemimage temperaments~~ #Chromat\|~~Hemimage temperaments~~]]		* ''[[Pentadecal]]'' (+875/864) → [[Keemic temperaments #Pentadecal\|Keemic temperaments]]
			* ''[[Chromat]]'' (+10976/10935) → [[Amity family #Chromat\|Amity family]]
	* ''[[Tritikleismic]]'' (+1029/1024) → [[Kleismic family #Tritikleismic\|Kleismic family]]		* ''[[Tritikleismic]]'' (+1029/1024) → [[Kleismic family #Tritikleismic\|Kleismic family]]
	* [[Ennealimmal]] (+2401/2400 or 4375/4374) → [[Septiennealimmal clan #Ennealimmal\|Septiennealimmal clan]]		* [[Ennealimmal]] (+2401/2400 or 4375/4374) → [[Septiennealimmal clan #Ennealimmal\|Septiennealimmal clan]]

FloraC: + trivish

2026-06-20T15:38:20Z

+ trivish

← Older revision		Revision as of 15:38, 20 June 2026
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	* ''[[Triquart]]'' (+117649/116640) → [[Quartonic family #Triquart\|Quartonic family]]		* ''[[Triquart]]'' (+117649/116640) → [[Quartonic family #Triquart\|Quartonic family]]
	* ''[[Stearnscape]]'' (+118098/117649) → [[Stearnsmic clan #Stearnscape\|Stearnsmic clan]]		* ''[[Stearnscape]]'' (+118098/117649) → [[Stearnsmic clan #Stearnscape\|Stearnsmic clan]]
	* ''[[Domain (temperament)\|Domain]]'' (+645700815/645657712) → [[~~Minortonic~~ family #Domain\|~~Minortonic~~ family]]		* ''[[Trivish]]'' (+134217728/133984375) → [[Vishnu family #Trivish\|Vishnu family]]
			* ''[[Domain (temperament)\|Domain]]'' (+645700815/645657712) → [[Minortone family #Domain\|Minortone family]]
	* ''[[Aemilic]]'' (+{{monzo\|-84 53}}) → [[159th-octave temperaments #Aemilic\|159th-octave temperaments]]		* ''[[Aemilic]]'' (+{{monzo\|-84 53}}) → [[159th-octave temperaments #Aemilic\|159th-octave temperaments]]

← Older revision		Revision as of 08:43, 10 September 2026
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	* ''[[Sextile]]'' (+33554432/33480783) → [[Garischismic clan #Sextile\|Garischismic clan]]		* ''[[Sextile]]'' (+33554432/33480783) → [[Garischismic clan #Sextile\|Garischismic clan]]
	* ''[[Tritricot]]'' (+{{monzo\| 35 -23 -3 3 }}) → [[Alphatricot family #Tritricot\|Alphatricot family]]		* ''[[Tritricot]]'' (+{{monzo\| 35 -23 -3 3 }}) → [[Alphatricot family #Tritricot\|Alphatricot family]]
	* [[Compton]] (+225/224) → [[Compton family #Compton\|Compton family]]
	* ''[[Terture]]'' (+359661568/358722675) → [[Vulture family #Terture\|Vulture family]]		* ''[[Terture]]'' (+359661568/358722675) → [[Vulture family #Terture\|Vulture family]]
	* ''[[Pentadecal]]'' (+875/864) → [[Keemic temperaments #Pentadecal\|Keemic temperaments]]		* ''[[Pentadecal]]'' (+875/864) → [[Keemic temperaments #Pentadecal\|Keemic temperaments]]
Line 22:		Line 21:
	* ''[[Trivish]]'' (+134217728/133984375) → [[Vishnu family #Trivish\|Vishnu family]]		* ''[[Trivish]]'' (+134217728/133984375) → [[Vishnu family #Trivish\|Vishnu family]]
	* ''[[Domain (temperament)\|Domain]]'' (+645700815/645657712) → [[Minortone family #Domain\|Minortone family]]		* ''[[Domain (temperament)\|Domain]]'' (+645700815/645657712) → [[Minortone family #Domain\|Minortone family]]
	* ''[[Aemilic]]'' (+{{monzo\|-84 53}}) → [[~~159th-octave temperaments~~ #Aemilic\|~~159th-octave temperaments~~]]		* [[Compton]] (+225/224) → [[Compton family #Compton\|Compton family]]
			* ''[[Aemilic]]'' (+{{monzo\|-84 53}}) → [[Mercator family #Aemilic\|Mercator family]]

	Considered below are septichrome, akjayland, pnict, atomic, slendscape, avicenna, zinc, magnesium, poe, chromium, and phosphorus in the order of increasing [[badness]].		Considered below are septichrome, akjayland, pnict, atomic, slendscape, avicenna, zinc, magnesium, poe, chromium, and phosphorus in the order of increasing [[badness]].

← Older revision		Revision as of 12:59, 25 June 2026
Line 9:		Line 9:
	* ''[[Tritricot]]'' (+{{monzo\| 35 -23 -3 3 }}) → [[Alphatricot family #Tritricot\|Alphatricot family]]		* ''[[Tritricot]]'' (+{{monzo\| 35 -23 -3 3 }}) → [[Alphatricot family #Tritricot\|Alphatricot family]]
	* [[Compton]] (+225/224) → [[Compton family #Compton\|Compton family]]		* [[Compton]] (+225/224) → [[Compton family #Compton\|Compton family]]
	* ''[[Terture]]'' (+359661568/358722675) → [[Vulture family #~~Domain~~\|Vulture family]]		* ''[[Terture]]'' (+359661568/358722675) → [[Vulture family #Terture\|Vulture family]]
	* ''[[Chromat]]'' (10976/10935) → [[~~Hemimage temperaments~~ #Chromat\|~~Hemimage temperaments~~]]		* ''[[Pentadecal]]'' (+875/864) → [[Keemic temperaments #Pentadecal\|Keemic temperaments]]
			* ''[[Chromat]]'' (+10976/10935) → [[Amity family #Chromat\|Amity family]]
	* ''[[Tritikleismic]]'' (+1029/1024) → [[Kleismic family #Tritikleismic\|Kleismic family]]		* ''[[Tritikleismic]]'' (+1029/1024) → [[Kleismic family #Tritikleismic\|Kleismic family]]
	* [[Ennealimmal]] (+2401/2400 or 4375/4374) → [[Septiennealimmal clan #Ennealimmal\|Septiennealimmal clan]]		* [[Ennealimmal]] (+2401/2400 or 4375/4374) → [[Septiennealimmal clan #Ennealimmal\|Septiennealimmal clan]]

← Older revision		Revision as of 15:38, 20 June 2026
Line 19:		Line 19:
	* ''[[Triquart]]'' (+117649/116640) → [[Quartonic family #Triquart\|Quartonic family]]		* ''[[Triquart]]'' (+117649/116640) → [[Quartonic family #Triquart\|Quartonic family]]
	* ''[[Stearnscape]]'' (+118098/117649) → [[Stearnsmic clan #Stearnscape\|Stearnsmic clan]]		* ''[[Stearnscape]]'' (+118098/117649) → [[Stearnsmic clan #Stearnscape\|Stearnsmic clan]]
	* ''[[Domain (temperament)\|Domain]]'' (+645700815/645657712) → [[~~Minortonic~~ family #Domain\|~~Minortonic~~ family]]		* ''[[Trivish]]'' (+134217728/133984375) → [[Vishnu family #Trivish\|Vishnu family]]
			* ''[[Domain (temperament)\|Domain]]'' (+645700815/645657712) → [[Minortone family #Domain\|Minortone family]]
	* ''[[Aemilic]]'' (+{{monzo\|-84 53}}) → [[159th-octave temperaments #Aemilic\|159th-octave temperaments]]		* ''[[Aemilic]]'' (+{{monzo\|-84 53}}) → [[159th-octave temperaments #Aemilic\|159th-octave temperaments]]