User:Eliora/Proposed concept names - Revision history

Eliora at 06:59, 10 June 2026

2026-06-10T06:59:10Z

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			== Anemoian (name later to be changed) ==
			384p & 324p, 11-limit.

			[[Subgroup]]: 2.3.5.7.11

			[[Comma list]]: 26411/26244, 250047/250000, 2097152/2096325

			[[Mapping]]: {{mapping\| 13 0 92 -355 \| 0 5 12 14 -16 }}
			: Mapping generators: ~1375/1296, ~243/200

			[[Optimal tuning]]s:
			* [[WE]]: ~1375/1296 = 99.997{{c}}, ~243/200 = 340.539{{c}}
			: [[error map]]: {{val\| -0.006 +0.038 -0.030 -0.013 }}
			* [[CWE]]: ~1375/1296 = 100{{c}}, ~243/200 = 340.549{{c}}
			: error map: {{val\| 0.000, 0.788, 0.269, -1.146, -0.095 }}

			{{Optimal ET sequence\|legend=1\| 60, 444, 384 }}

			[[Badness]] (Sintel): 21.211

	== Luminance (tuning) ==		== Luminance (tuning) ==
	https://www.wolframalpha.com/input?i=plot+sqrt%28%28RiemannSiegelZ%5B%282pix%2Fln%282%29%29%5D%29%5E2%2B%28%28DivisorSum%5Bx%2C+%23+%26%5D-x%29%2Fx%29%5E2%29%2C+x+from+1+to+100		https://www.wolframalpha.com/input?i=plot+sqrt%28%28RiemannSiegelZ%5B%282pix%2Fln%282%29%29%5D%29%5E2%2B%28%28DivisorSum%5Bx%2C+%23+%26%5D-x%29%2Fx%29%5E2%29%2C+x+from+1+to+100

2024-03-17T00:01:35Z

← Older revision		Revision as of 00:01, 17 March 2024
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			== Luminance (tuning) ==
			https://www.wolframalpha.com/input?i=plot+sqrt%28%28RiemannSiegelZ%5B%282pix%2Fln%282%29%29%5D%29%5E2%2B%28%28DivisorSum%5Bx%2C+%23+%26%5D-x%29%2Fx%29%5E2%29%2C+x+from+1+to+100

			Luminance is a measure of an equal temperament based on both is [[abundancy index]] and [[zeta peak integer edo]] position. It is equal to sqrt(Z^2+A^2), where Z is the zeta value while A is the abundancy index.

			Increasingly larger luminance values: {{EDOs\|2, 3, 5, 7, 10, 12, 22, 24, 31, 41, 53, 87, ...}}
	== Natrium ==		== Natrium ==
	The natrium tempers out the {{monzo\|403 -77 -121}} comma in the 5-limit, not only splitting the octave in 11, but using [[1125/1024]] as a generator, eleven of which plus one step of [[11edo]] make [[3/1]].		The natrium tempers out the {{monzo\|403 -77 -121}} comma in the 5-limit, not only splitting the octave in 11, but using [[1125/1024]] as a generator, eleven of which plus one step of [[11edo]] make [[3/1]].

2023-12-19T01:23:40Z

← Older revision		Revision as of 01:23, 19 December 2023
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	Described as the 234 & 1053 temperament, defined by tempering together the septimal ennealimma and the aluminium comma.		Described as the 234 & 1053 temperament, defined by tempering together the septimal ennealimma and the aluminium comma.

			== Unpentennium ==
			Described as the 795 & 3498 temperament and splits the octave into 159.

2023-12-18T00:58:35Z

← Older revision		Revision as of 00:58, 18 December 2023
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	1904 & 3920 temperament.		1904 & 3920 temperament.
			== Tenessine ==

			Described as the 234 & 1053 temperament, defined by tempering together the septimal ennealimma and the aluminium comma.

2023-12-14T22:04:06Z

already documented

← Older revision		Revision as of 22:04, 14 December 2023
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	1125 patent val branching tempers out the [[flashma]] and therefore is to be named white phosphorus, and 1125g val branching is to be named red phosphorus.		1125 patent val branching tempers out the [[flashma]] and therefore is to be named white phosphorus, and 1125g val branching is to be named red phosphorus.

	~~== Manganese ==~~

	~~525 & 1000 temperament, it is the simplest 25th-octave 5-limit temperament.~~

	~~[211 50 -125]~~

	~~=== Semimanganese ===~~

	~~525 & 2000 temperament, consistent in the high limit.~~
	== Strontium ==		== Strontium ==

2023-11-01T15:37:56Z

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	{{Optimal ET sequence\|legend=1\| 759, 7797 }}		{{Optimal ET sequence\|legend=1\| 759, 7797 }}
	~~== Polonium ==~~
	~~Polonium is described as the 1848 & 14196 tmeperament. It tempers out the 11-limit comma which sets 43\84 to [[77/54]].~~

	~~http://x31eq.com/cgi-bin/rt.cgi?ets~~=~~1848_14196~~&limit~~=11~~		== Rutherfordium ==
			Rutherfordium is described as the 624 & 4472 temperament in the 23-limit.

	== Seaborgium ==		== Seaborgium ==

2023-10-21T14:42:51Z

Manganese

← Older revision		Revision as of 14:42, 21 October 2023
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	525 & 1000 temperament, it is the simplest 25th-octave 5-limit temperament.		525 & 1000 temperament, it is the simplest 25th-octave 5-limit temperament.

			[211 50 -125]

	=== Semimanganese ===		=== Semimanganese ===

2023-09-12T20:36:00Z

Cadmium

← Older revision		Revision as of 20:36, 12 September 2023
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	== Cadmium ==		== Cadmium ==
	Described as the ~~1776~~ & ~~3072~~ temperament in the 11-limit, ~~and reaches both 7/5 and 11~~/~~7 in one generator~~.		Described as the 624 & 4320 temperament upwards to the 23-limit.

			In the 23-limit, the gen is mapped to [[70/69]].

	== Thulium ==		== Thulium ==

2023-09-03T20:49:45Z

← Older revision		Revision as of 20:49, 3 September 2023
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	1125 patent val branching tempers out the [[flashma]] and therefore is to be named white phosphorus, and 1125g val branching is to be named red phosphorus.		1125 patent val branching tempers out the [[flashma]] and therefore is to be named white phosphorus, and 1125g val branching is to be named red phosphorus.

	== ~~Scandium~~ ==		== Manganese ==
	~~Described as the 525 & 1911 temperament, divides the octave in 21 parts.~~

			525 & 1000 temperament, it is the simplest 25th-octave 5-limit temperament.

			=== Semimanganese ===

			525 & 2000 temperament, consistent in the high limit.
	== Strontium ==		== Strontium ==

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	Named after the 112th element.		Named after the 112th element.

	1904 & 3920 temperament		1904 & 3920 temperament.

2023-08-11T13:40:38Z

Scandium

← Older revision		Revision as of 13:40, 11 August 2023
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	== Scandium ==		== Scandium ==
	Described as the ~~2730~~ & ~~2877~~ temperament, ~~and tempers out~~ the ~~{{monzo\|1480 -903 -~~21~~}} comma in the 5-limit. Defined upwards to the 13-limit~~.		Described as the 525 & 1911 temperament, divides the octave in 21 parts.

	== Strontium ==		== Strontium ==