Ragnaroksma: Difference between revisions

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{{Infobox Interval|~~Monzo~~=~~-7 0 -3 4 4 -3~~|Name=Ragnaroksma|Color name=trithu-aquadlozo-atriguma, 3u^31o^4z^4g^3M|Comma=yes}}The '''ragnaroksma''', is a 13-limit ~~(no-3s) comma~~ found as the difference between a [[symbiotic comma]] and 3 [[ibnsinma]]<~~nowiki~~/>s, or ~~alternatively,~~ between a ~~stack of 4~~ [[~~77/64~~]], and a stack of 3 [[65/64]]~~<nowiki~~/~~>s up an octave. It is also~~ the difference between a [[harmonisma]] and an [[yggdrasilsma]].

{{Infobox Interval

| Ratio = 35153041/35152000

| Name = Ragnaroksma

| Color name = trithu-aquadlozo-atriguma, 3u^31o^4z^4g^3M

| Comma = yes

}}

The '''ragnaroksma''' is an [[unnoticeable comma]] in the no-3's [[13-limit]], measuring about 0.0513 [[cent]]s. It is found as the difference between a stack of four [[77/64]]'s and a stack of three [[65/64]]'s up an octave.

In terms of other commas, it equals the difference between a [[symbiotic comma]] and a stack of three [[ibnsinma]]s, (19712/19683)/(2080/2079)<sup>3</sup>, or between a [[wilschisma]] and a stack of four ibnsinmas, (532480/531441)/(2080/2079)<sup>4</sup>. Alternatively, it manifests as the three-comma relation: ([[10648/10647]])/((2080/2079)/([[2401/2400]])), in other words, as the difference between a [[harmonisma]] and an [[yggdrasilsma]].

== Temperaments ==

~~It is tempered out in~~ [[~~freyr]] and its temperaments, such as [[newt]], [[hemififths]], and a complex [[Hemiwuerschmidt~~]] ~~extension (99ef & 229). Tempering~~ alone in the 13-limit leads to the rank-5 [[ragnaroksmic]] temperament, ~~and tempering it alone~~ in the no-~~3 13~~-~~limit leads to~~ [[~~ragnarok~~]].

[[Tempering out]] this comma alone in the 13-limit leads to the rank-5 '''ragnaroksmic''' temperament, or in the 2.5.7.11.13 subgroup, the rank-4 '''ragnarok''' temperament. It is tempered out in [[alfheim]], or more simply [[symbiotic]], as well as lower-rank temperaments such as [[freyr]] and [[cassaschismic]].

== Etymology ==

The comma was named by [[Flora Canou]] in 2026, after the great battle of ''Ragnarök'' in Norse mythology, which leads to the end of the world and the death of almost all gods, ~~probably after~~ the immense accuracy ~~of the comma portraying~~ an absolute end to the ~~temperament~~ sequence.

The comma was named by [[Flora Canou]] in 2026 after the great battle of ''{{w|Ragnarök}}'' in Norse mythology, which leads to the end of the world and the death of almost all gods, thereby portraying the temperament's immense accuracy and being an absolute end to the [[detemperament]] sequence (after alfheim).

[[Category:Ragnaroksmic]]

@@ Line 1: / Line 1: @@
-{{Infobox Interval|Monzo=-7 0 -3 4 4 -3|Name=Ragnaroksma|Color name=trithu-aquadlozo-atriguma, 3u^31o^4z^4g^3M|Comma=yes}}The '''ragnaroksma''', is a 13-limit (no-3s) comma found as the difference between a [[symbiotic comma]] and 3 [[ibnsinma]]<nowiki/>s, or alternatively, between a stack of 4 [[77/64]], and a stack of 3 [[65/64]]<nowiki/>s up an octave. It is also the difference between a [[harmonisma]] and an [[yggdrasilsma]].
+{{Infobox Interval
+| Ratio = 35153041/35152000
+| Name = Ragnaroksma
+| Color name = trithu-aquadlozo-atriguma, 3u^31o^4z^4g^3M
+| Comma = yes
+}}
+The '''ragnaroksma''' is an [[unnoticeable comma]] in the no-3's [[13-limit]], measuring about 0.0513 [[cent]]s. It is found as the difference between a stack of four [[77/64]]'s and a stack of three [[65/64]]'s up an octave.
+In terms of other commas, it equals the difference between a [[symbiotic comma]] and a stack of three [[ibnsinma]]s, (19712/19683)/(2080/2079)<sup>3</sup>, or between a [[wilschisma]] and a stack of four ibnsinmas, (532480/531441)/(2080/2079)<sup>4</sup>. Alternatively, it manifests as the three-comma relation: ([[10648/10647]])/((2080/2079)/([[2401/2400]])), in other words, as the difference between a [[harmonisma]] and an [[yggdrasilsma]].
 == Temperaments ==
-It is tempered out in [[freyr]] and its temperaments, such as [[newt]], [[hemififths]], and a complex [[Hemiwuerschmidt]] extension (99ef & 229). Tempering alone in the 13-limit leads to the rank-5 [[ragnaroksmic]] temperament, and tempering it alone in the no-3 13-limit leads to [[ragnarok]].
+[[Tempering out]] this comma alone in the 13-limit leads to the rank-5 '''ragnaroksmic''' temperament, or in the 2.5.7.11.13 subgroup, the rank-4 '''ragnarok''' temperament. It is tempered out in [[alfheim]], or more simply [[symbiotic]], as well as lower-rank temperaments such as [[freyr]] and [[cassaschismic]].
 == Etymology ==
-The comma was named by [[Flora Canou]] in 2026, after the great battle of ''Ragnarök'' in Norse mythology, which leads to the end of the world and the death of almost all gods, probably after the immense accuracy of the comma portraying an absolute end to the temperament sequence.
+The comma was named by [[Flora Canou]] in 2026 after the great battle of ''{{w|Ragnarök}}'' in Norse mythology, which leads to the end of the world and the death of almost all gods, thereby portraying the temperament's immense accuracy and being an absolute end to the [[detemperament]] sequence (after alfheim).
+[[Category:Ragnaroksmic]]

Ragnaroksma: Difference between revisions

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