Lifthrasirsma - Revision history

FloraC: Update data

2026-02-11T15:07:16Z

Update data

← Older revision		Revision as of 15:07, 11 February 2026
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	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''lifthrasirsma''' ({{monzo\|legend=1\| 29 -11 -2 0 -2 }}, [[ratio]]: 536870912/535869675) is an [[~~Unnoticeable~~ comma\|unnoticeable]] [[11-limit]] (also 2.3.5.11 [[subgroup]]) [[comma]] measuring about 3.23 [[cent]]s. It marks the difference between the [[rastma]] and a stack of two [[schisma]]s.		The '''lifthrasirsma''' ({{monzo\|legend=1\| 29 -11 -2 0 -2 }}, [[ratio]]: 536870912/535869675) is an [[unnoticeable comma\|unnoticeable]] [[11-limit]] (also [[2.3.5.11 subgroup\|2.3.5.11-]][[subgroup]]) [[comma]] measuring about 3.23 [[cent]]s. It marks the difference between the [[rastma]] and a stack of two [[schisma]]s.

	== Temperaments ==		== Temperaments ==
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	Comma list: 536870912/535869675		Comma list: 536870912/535869675

	~~Sval~~ mapping: {{mapping\| 1 1 0 9 \| 0 2 0 -11 \| 0 0 1 -1 }}		Subgroup-val mapping: {{mapping\| 1 1 0 9 \| 0 2 0 -11 \| 0 0 1 -1 }}

	Optimal ~~tuning (CTE)~~: ~2 = ~~1\1~~, ~16384/13365 = 351.~~0971~~, ~5/4 = 386.~~4070~~		Optimal tunings:
			* WE: ~2 = 1199.9228{{c}}, ~16384/13365 = 351.0529{{c}}, ~5/4 = 386.4968{{c}}
			* CWE: ~2 = 1200.0000{{c}}, ~16384/13365 = 351.0805{{c}}, ~5/4 = 386.4947{{c}}

	~~Optimal ET sequence:~~ {{Optimal ET sequence\| 17, 24, 41, 65, 205, 270, 335, 581, 605, 646, 916, 981, 2878e, 3859bcee }}		{{Optimal ET sequence\|legend=0\| 17, 24, 41, 65, 205, 270, 335, 581, 605, 646, 916, 981, 2878e, 3859bcee }}

	Badness: 0.~~542 × 10<sup>-3</sup>~~		Badness (Sintel): 4.48

	==== 2.3.5.11.19 subgroup ====		==== 2.3.5.11.19 subgroup ====
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	Comma list: 1216/1215, 131072/131043		Comma list: 1216/1215, 131072/131043

	~~Sval~~ mapping: {{mapping\| 1 1 0 9 -1 \| 0 2 0 -11 10 \| 0 0 1 -1 1 }}		Subgroup-val mapping: {{mapping\| 1 1 0 9 -1 \| 0 2 0 -11 10 \| 0 0 1 -1 1 }}

	Optimal ~~tuning (CTE)~~: ~2 = ~~1\1~~, ~256/209 = 351.~~1010~~, ~5/4 = 386.~~4125~~		Optimal tunings:
			* WE: ~2 = 1199.9494{{c}}, ~256/209 = 351.0800{{c}}, ~5/4 = 386.4828{{c}}
			* CWE: ~2 = 1200.0000{{c}}, ~256/209 = 351.0960{{c}}, ~5/4 = 386.4831{{c}}

	~~Optimal ET sequence:~~ {{Optimal ET sequence\| 17, 24, 41, 65, 181, 205, 270, 581, 646, 851, 916, 1186, 2102 }}		{{Optimal ET sequence\|legend=0\| 17, 24, 41, 65, 181, 205, 270, 581, 646, 851, 916, 1186, 2102 }}

	Badness: 0.~~260 × 10<sup>-3</sup>~~		Badness (Sintel): 0.581

	== Etymology ==		== Etymology ==

BudjarnLambeth at 03:24, 11 April 2025

2025-04-11T03:24:59Z

← Older revision		Revision as of 03:24, 11 April 2025
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	[[Category:Lifthrasirsmic]]		[[Category:Lifthrasirsmic]]
	[[Category:Commas named after ~~myth~~ or ~~folk characters~~]]		[[Category:Commas named after mythology or literature]]

BudjarnLambeth at 02:27, 4 November 2024

2024-11-04T02:27:55Z

← Older revision		Revision as of 02:27, 4 November 2024
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	[[Category:Lifthrasirsmic]]		[[Category:Lifthrasirsmic]]
	[[Category:Commas named after ~~individuals~~]]		[[Category:Commas named after myth or folk characters]]

BudjarnLambeth at 23:42, 3 November 2024

2024-11-03T23:42:53Z

← Older revision		Revision as of 23:42, 3 November 2024
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	[[Category:Lifthrasirsmic]]		[[Category:Lifthrasirsmic]]
			[[Category:Commas named after individuals]]

Francium: Added color name

2023-10-05T11:35:51Z

Added color name

← Older revision		Revision as of 11:35, 5 October 2023
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	\| Monzo = 29 -11 -2 0 -2		\| Monzo = 29 -11 -2 0 -2
	\| Name = lifthrasirsma		\| Name = lifthrasirsma
			\| Color name = ss1uugg3, sasa-bilugu 3rd
	\| Comma = yes		\| Comma = yes
	}}		}}

FloraC: Created page with "{{Infobox Interval | Ratio = 536870912/535869675 | Monzo = 29 -11 -2 0 -2 | Name = lifthrasirsma | Comma = yes }} The '''lifthrasirsma''' ({{monzo|legend=1| 29 -11 -2 0 -2 }},..."

2023-10-05T09:49:51Z

Created page with "{{Infobox Interval | Ratio = 536870912/535869675 | Monzo = 29 -11 -2 0 -2 | Name = lifthrasirsma | Comma = yes }} The '''lifthrasirsma''' ({{monzo|legend=1| 29 -11 -2 0 -2 }},..."

New page

{{Infobox Interval
| Ratio = 536870912/535869675
| Monzo = 29 -11 -2 0 -2
| Name = lifthrasirsma
| Comma = yes
}}
The '''lifthrasirsma''' ({{monzo|legend=1| 29 -11 -2 0 -2 }}, [[ratio]]: 536870912/535869675) is an [[Unnoticeable comma|unnoticeable]] [[11-limit]] (also 2.3.5.11 [[subgroup]]) [[comma]] measuring about 3.23 [[cent]]s. It marks the difference between the [[rastma]] and a stack of two [[schisma]]s.

== Temperaments ==
[[Tempering out]] this comma in the full 11-limit leads to the rank-4 '''lifthrasirsmic temperament''', or in the 2.3.5.11 subgroup, the rank-3 '''lifthrasir temperament'''.

Lifthrasir can be extended to the 2.3.5.11.19 subgroup by tempering out [[1216/1215]]. The second comma in the list, 131072/131043, has the effect of equating the undevicesimal schisma of [[513/512]] with the schisma. [[Lif]] is a notable weak extension of lifthrasir.

=== Lifthrasir ===
Subgroup: 2.3.5.11

Comma list: 536870912/535869675

Sval mapping: {{mapping| 1 1 0 9 | 0 2 0 -11 | 0 0 1 -1 }}

Optimal tuning (CTE): ~2 = 1\1, ~16384/13365 = 351.0971, ~5/4 = 386.4070

Optimal ET sequence: {{Optimal ET sequence| 17, 24, 41, 65, 205, 270, 335, 581, 605, 646, 916, 981, 2878e, 3859bcee }}

Badness: 0.542 × 10<sup>-3</sup>

==== 2.3.5.11.19 subgroup ====
Subgroup: 2.3.5.11.19

Comma list: 1216/1215, 131072/131043

Sval mapping: {{mapping| 1 1 0 9 -1 | 0 2 0 -11 10 | 0 0 1 -1 1 }}

Optimal tuning (CTE): ~2 = 1\1, ~256/209 = 351.1010, ~5/4 = 386.4125

Optimal ET sequence: {{Optimal ET sequence| 17, 24, 41, 65, 181, 205, 270, 581, 646, 851, 916, 1186, 2102 }}

Badness: 0.260 × 10<sup>-3</sup>

== Etymology ==
This comma was named by [[Flora Canou]] in 2023 along with the corresponding temperaments, lif and lifthrasir, after the human survivors of Ragnarök in {{w|Norse mythology}}.

[[Category:Lifthrasirsmic]]