245/242: Difference between revisions

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{{Infobox Interval

~~| Ratio = 245/242~~

~~| Cents = 21.329642~~

~~| Monzo = -1 0 1 2 -2~~

| Name = frostma

| Color name = luuzzy2, luluzozoyo 2nd

| Comma = yes

}}

~~The~~ '''frostma''' ~~([[ratio]]: 245/242~~, ~~[[monzo]]: {{monzo| -1 0 1 2 -2 }})~~ is a [[small comma|small]] [[11-limit]] [[comma]] ~~named after~~ [[~~User:Frostburn|Frostburn~~]] ~~used in~~ the ~~construction~~ of ~~the~~ [[~~No-threes subgroup temperaments #Frostburn|frostburn~~]] ~~temperament~~.

'''245/242''', the '''frostma''', is a [[small comma|small]] [[11-limit]] [[comma]] measuring about 21.3 [[cent]]s. It is the amount by which [[5/2]] exceeds a stack of two [[11/7]]'s.

== ~~Quotes~~ ==

It can be factored into ([[243/242]])⋅([[245/243]]) and ([[896/891]])⋅([[2835/2816]]).

''"245/242 should be the frostma because 243/242 is the ~~rastma..."'' -~~Praveen Venkataramana

== Temperaments ==

[[Tempering out]] this comma alone in the 11-limit results in the rank-4 '''frostmic''' temperament (→ [[Catalog of rank-4 temperaments #Frostmic (245/242)]]), or in the 2.5.7.11 subgroup, the rank-3 '''frost''' temperament. In either case, a stack of two 11/7's is equated with a 5/2 major tenth, enabling [[frostmic chords]]. It is also used in the construction of the [[No-threes subgroup temperaments #Frostburn|frostburn]] temperament.

== Etymology ==

This comma was named after [[User:Frostburn|Frostburn]] in 2022. Before it got the name ''frostma'', it was known as the ''cassacot'', probably derived from [[cassandra]] and [[tetracot]]. However, ''cassandra'' was a misnomer for [[andromeda]]. The temperament's name was later corrected. Since then, ''cassacot'' has lost its root, thus justifying the new name.

245/242 should be the frostma because 243/242 is the rastma…

</blockquote>

—[[Praveen Venkataramana]]

[[Category:Frostmic]]

[[Category:Commas named after composers]]

[[Category:Commas named after music theorists]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Ratio = 245/242
-| Cents = 21.329642
-| Monzo = -1 0 1 2 -2
 | Name = frostma
+| Color name = luuzzy2, luluzozoyo 2nd
+| Comma = yes
 }}
-The '''frostma'''  ([[ratio]]: 245/242, [[monzo]]: {{monzo| -1 0 1 2 -2 }}) is a [[small comma|small]] [[11-limit]] [[comma]] named after [[User:Frostburn|Frostburn]] used in the construction of the [[No-threes subgroup temperaments #Frostburn|frostburn]] temperament.
+'''245/242''', the '''frostma''', is a [[small comma|small]] [[11-limit]] [[comma]] measuring about 21.3 [[cent]]s. It is the amount by which [[5/2]] exceeds a stack of two [[11/7]]'s.
-== Quotes ==
+It can be factored into ([[243/242]])⋅([[245/243]]) and ([[896/891]])⋅([[2835/2816]]).
-''"245/242 should be the frostma because 243/242 is the rastma..."'' -Praveen Venkataramana
+== Temperaments ==
+[[Tempering out]] this comma alone in the 11-limit results in the rank-4 '''frostmic''' temperament (→ [[Catalog of rank-4 temperaments #Frostmic (245/242)]]), or in the 2.5.7.11 subgroup, the rank-3 '''frost''' temperament. In either case, a stack of two 11/7's is equated with a 5/2 major tenth, enabling [[frostmic chords]]. It is also used in the construction of the [[No-threes subgroup temperaments #Frostburn|frostburn]] temperament.
+== Etymology ==
+This comma was named after [[User:Frostburn|Frostburn]] in 2022. Before it got the name ''frostma'', it was known as the ''cassacot'', probably derived from [[cassandra]] and [[tetracot]]. However, ''cassandra'' was a misnomer for [[andromeda]]. The temperament's name was later corrected. Since then, ''cassacot'' has lost its root, thus justifying the new name.
+<blockquote>
+/242 should be the frostma because 243/242 is the rastma…
+</blockquote>
+—[[Praveen Venkataramana]]
+[[Category:Frostmic]]
+[[Category:Commas named after composers]]
+[[Category:Commas named after music theorists]]