Dinos comma: Difference between revisions

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| Ratio = 531441/528125

| Name = dinos comma

| Color name = L3uug~~^51~~, lathuthuquingu 1sn

| Color name = L3uug51, lathuthuquingu 1sn

| Comma = yes

}}

'''531441/528125''', the '''dinos comma''', is a small 13-limit comma. It can be expressed as (9/5)/(325/243)2, (9/5)/(4/3)2/(325/324)2 and (81/80)/(325/324)2, among other expressions.

'''531441/528125''', the '''dinos comma''', is a [[small comma|small]] [[13-limit]] [[comma]]. It can be expressed as ([[3159/3125]])/([[2197/2187]]), ([[78732/78125]])/([[676/675]]), ([[9/5]])/(325/243)2, (9/5)/([[4/3]])2/([[325/324]])2 and ([[81/80]])/(325/324)2, among other expressions.

==== Temperaments ====

== Temperaments ==

Tempering out this comma means equating a stack of two 325/243 (~~tridecimal marvelous~~ fourth) with 9/5. This comma is tempered out in some 13-limit temperaments, e.g. flattone.

Tempering out this comma means equating a stack of two 325/243 (marveltwinous fourth) with 9/5. This comma is tempered out in some 13-limit temperaments, e.g. [[flattone]] extension. However, most of the case it is overshadowed by the 81/80. Tempering out this comma in its minimal prime [[subgroup]] of 3.5.13 leads to [[tetrameantone #b15 & b4p|an unnamed temperament]].

==== Etymology ====

== Etymology ==

The name "dinos" is proposed by Dummy index in 2024. It means: "miNOr Seventh is divided into 2 equal parts". The same argument holds for 3136/3125 = (9/5)/(75/56)2 ~~(hemimean comma~~) and 589824/588245 = (9/5)/(343/256)^2 ~~(hewuermera comma~~), but the comma is no-twos and requires only one additional prime ~~base~~ (3.5 for 9/5 and additional .13 for the comma).

The name "dinos" is proposed by [[User:Dummy index|Dummy index]] in 2024. It means: "miNOr Seventh is divided into 2 equal parts". The same argument holds for [[hemimean comma|hemimean comma (3136/3125 = (9/5)/(75/56)2)]] and [[hewuermera comma|hewuermera comma (589824/588245 = (9/5)/(343/256)2)]], but the comma is no-twos and requires only one additional prime basis element (3.5 for 9/5 and additional .13 for the comma).

[[Category:Commas named for the intervals they stack]]

@@ Line 2: / Line 2: @@
 | Ratio = 531441/528125
 | Name = dinos comma
-| Color name = L3uug^51, lathuthuquingu 1sn
+| Color name = L3uug<sup>5</sup>1, lathuthuquingu 1sn
 | Comma = yes
 }}
-'''531441/528125''', the '''dinos comma''', is a small 13-limit comma. It can be expressed as (9/5)/(325/243)<sup>2</sup>, (9/5)/(4/3)<sup>2</sup>/(325/324)<sup>2</sup> and (81/80)/(325/324)<sup>2</sup>, among other expressions.
+'''531441/528125''', the '''dinos comma''', is a [[small comma|small]] [[13-limit]] [[comma]]. It can be expressed as ([[3159/3125]])/([[2197/2187]]), ([[78732/78125]])/([[676/675]]), ([[9/5]])/(325/243)<sup>2</sup>, (9/5)/([[4/3]])<sup>2</sup>/([[325/324]])<sup>2</sup> and ([[81/80]])/(325/324)<sup>2</sup>, among other expressions.
-==== Temperaments ====
+== Temperaments ==
-Tempering out this comma means equating a stack of two 325/243 (tridecimal marvelous fourth) with 9/5. This comma is tempered out in some 13-limit temperaments, e.g. flattone.
+Tempering out this comma means equating a stack of two 325/243 (marveltwinous fourth) with 9/5. This comma is tempered out in some 13-limit temperaments, e.g. [[flattone]] extension. However, most of the case it is overshadowed by the 81/80. Tempering out this comma in its minimal prime [[subgroup]] of 3.5.13 leads to [[tetrameantone #b15 & b4p|an unnamed temperament]].
-==== Etymology ====
+== Etymology ==
-The name "dinos" is proposed by Dummy index in 2024. It means: "miNOr Seventh is divided into 2 equal parts". The same argument holds for 3136/3125 = (9/5)/(75/56)<sup>2</sup> (hemimean comma) and 589824/588245 = (9/5)/(343/256)^2 (hewuermera comma), but the comma is no-twos and requires only one additional prime base (3.5 for 9/5 and additional .13 for the comma).
+The name "dinos" is proposed by [[User:Dummy index|Dummy index]] in 2024. It means: "miNOr Seventh is divided into 2 equal parts". The same argument holds for [[hemimean comma|hemimean comma (3136/3125 = (9/5)/(75/56)<sup>2</sup>)]] and [[hewuermera comma|hewuermera comma (589824/588245 = (9/5)/(343/256)<sup>2</sup>)]], but the comma is no-twos and requires only one additional prime basis element (3.5 for 9/5 and additional .13 for the comma).
+[[Category:Commas named for the intervals they stack]]