Dinos comma: Difference between revisions
Copypaste from tetrameantone |
mNo edit summary |
||
| Line 7: | Line 7: | ||
'''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 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. | ||
== 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 (tridecimal marvelous fourth) with 9/5. This comma is tempered out in some 13-limit temperaments, e.g. flattone. | ||
== 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 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). | ||