Chrysia: Difference between revisions

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| Ratio = 43923/43904

| Name = chrysia

| Color name = ~~TBD~~

| Color name = Qualo-atriruma, 4*1ua3*rM

| Comma = ~~yes~~

| Comma = Chrysia

}}

The '''chrysia''' (~~[[monzo]]:~~ {{monzo| -7 1 0 -3 4 }}, [[ratio]]: 43923/43904) is an [[unnoticeable comma|unnoticeable]] [[11-limit]] (also 2.3.7.11 [[subgroup]]) [[comma]] measuring about 0.749 [[cent]]s. It is the amount by which three intervals of [[11/7]] and [[33/32]] exceed two octaves.

The '''chrysia''' ({{monzo|legend=1| -7 1 0 -3 4 }}, [[ratio]]: 43923/43904) is an [[unnoticeable comma|unnoticeable]] [[11-limit]] (also [[2.3.7.11 subgroup|2.3.7.11-]][[subgroup]]) [[comma]] measuring about 0.749 [[cent]]s. It is the amount by which three intervals of [[11/7]] and [[33/32]] exceed two octaves.

It factors into simpler [[superparticular]] commas as ([[3025/3024]])⋅([[9801/9800]]).

== Temperaments ==

Alongside the [[olympia]] (131072/130977) and [[41503/41472|argyria]] (41503/41472), this comma is tempered in the representation of 2.3.7.11 by [[135edo]]. Among the various 2.3.7.11 micro-commas of 135edo, this comma is notable for having only a single power of 3 in it, allowing 3 to be represented by 2.7.11 subgroup intervals. One notable example is given by [[No-fives subgroup temperaments #Chrysanthemum|chrysanthemum]] temperament, which tempers the chrysia alongside the [[~~amaranthinisma~~]] to provide a 2.3.7.11 interpretation of a chain of nearly pure [[7/4]]s with errors less than 0.1 cents.

[[Tempering out]] this comma in the full 11-limit results in the rank-4 chrysic temperament (→ [[Catalog of rank-4 temperaments #Chrysic (43923/43904)]]), and in the 2.3.7.11 subgroup, the rank-3 chrysian temperament.

Alongside the [[olympia]] (131072/130977) and [[41503/41472|argyria]] (41503/41472), this comma is tempered out in the representation of the 2.3.7.11 subgroup by [[135edo]]. Among the various 2.3.7.11-subgroup micro-commas of 135edo, this comma is notable for having only a single power of 3 in it, allowing 3 to be represented by 2.7.11-subgroup intervals. One notable example is given by [[no-fives subgroup temperaments #Chrysanthemum|chrysanthemum]] temperament, which tempers out the chrysia alongside the [[amaranthine comma]] to provide a 2.3.7.11 interpretation of a chain of nearly pure [[7/4]]'s with errors less than 0.1 cents.

== Etymology ==

The chrysia was named by [[User:VIxen|VIxen]] in 2025, on the pattern of the [[argyria]], after Chryse Planitia on Mars and the legendary island of Chryse.

It was previously named the "hemigail comma" by an unknown wiki contributor some time before 2025 (the name appeared on the page ~~[[unnoticeable~~ commas]]).

It was previously named the ''hemigail comma'' by an unknown wiki contributor some time before 2025 (the name appeared on the page Unnoticeable commas).

[[Category:Commas named after place names]]

@@ Line 2: / Line 2: @@
 | Ratio = 43923/43904
 | Name = chrysia
-| Color name = TBD
+| Color name = Qualo-atriruma, 4*1ua3*rM
-| Comma = yes
+| Comma = Chrysia
 }}
-The '''chrysia''' ([[monzo]]: {{monzo| -7 1 0 -3 4 }}, [[ratio]]: 43923/43904) is an [[unnoticeable comma|unnoticeable]] [[11-limit]] (also 2.3.7.11 [[subgroup]]) [[comma]] measuring about 0.749 [[cent]]s. It is the amount by which three intervals of [[11/7]] and [[33/32]] exceed two octaves.
+The '''chrysia''' ({{monzo|legend=1| -7 1 0 -3 4 }}, [[ratio]]: 43923/43904) is an [[unnoticeable comma|unnoticeable]] [[11-limit]] (also [[2.3.7.11 subgroup|2.3.7.11-]][[subgroup]]) [[comma]] measuring about 0.749 [[cent]]s. It is the amount by which three intervals of [[11/7]] and [[33/32]] exceed two octaves.
+It factors into simpler [[superparticular]] commas as ([[3025/3024]])⋅([[9801/9800]]).
 == Temperaments ==
-Alongside the [[olympia]] (131072/130977) and [[41503/41472|argyria]] (41503/41472), this comma is tempered in the representation of 2.3.7.11 by [[135edo]]. Among the various 2.3.7.11 micro-commas of 135edo, this comma is notable for having only a single power of 3 in it, allowing 3 to be represented by 2.7.11 subgroup intervals. One notable example is given by [[No-fives subgroup temperaments #Chrysanthemum|chrysanthemum]] temperament, which tempers the chrysia alongside the [[amaranthinisma]] to provide a 2.3.7.11 interpretation of a chain of nearly pure [[7/4]]s with errors less than 0.1 cents.
+[[Tempering out]] this comma in the full 11-limit results in the rank-4 chrysic temperament (→ [[Catalog of rank-4 temperaments #Chrysic (43923/43904)]]), and in the 2.3.7.11 subgroup, the rank-3 chrysian temperament.
+Alongside the [[olympia]] (131072/130977) and [[41503/41472|argyria]] (41503/41472), this comma is tempered out in the representation of the 2.3.7.11 subgroup by [[135edo]]. Among the various 2.3.7.11-subgroup micro-commas of 135edo, this comma is notable for having only a single power of 3 in it, allowing 3 to be represented by 2.7.11-subgroup intervals. One notable example is given by [[no-fives subgroup temperaments #Chrysanthemum|chrysanthemum]] temperament, which tempers out the chrysia alongside the [[amaranthine comma]] to provide a 2.3.7.11 interpretation of a chain of nearly pure [[7/4]]'s with errors less than 0.1 cents.
 == Etymology ==
 The chrysia was named by [[User:VIxen|VIxen]] in 2025, on the pattern of the [[argyria]], after Chryse Planitia on Mars and the legendary island of Chryse.
-It was previously named the "hemigail comma" by an unknown wiki contributor some time before 2025 (the name appeared on the page [[unnoticeable commas]]).
+It was previously named the ''hemigail comma'' by an unknown wiki contributor some time before 2025 (the name appeared on the page Unnoticeable commas).
 [[Category:Commas named after place names]]