Dinos comma: Difference between revisions
Jump to navigation
Jump to search
Dummy index (talk | contribs) link |
Dummy index (talk | contribs) |
||
Line 8: | Line 8: | ||
== Temperaments == | == Temperaments == | ||
Tempering out this comma means equating a stack of two 325/243 ( | 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. | ||
== Etymology == | == Etymology == | ||
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 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 base (3.5 for 9/5 and additional .13 for the comma). |
Revision as of 12:07, 23 September 2024
Interval information |
531441/528125, the dinos comma, is a small 13-limit comma. It can be expressed as (3159/3125)/(2197/2187), (9/5)/(325/243)2, (9/5)/(4/3)2/(325/324)2 and (81/80)/(325/324)2, among other expressions.
Temperaments
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.
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 hemimean comma (3136/3125 = (9/5)/(75/56)2) and hewuermera comma (589824/588245 = (9/5)/(343/256)2), but the comma is no-twos and requires only one additional prime base (3.5 for 9/5 and additional .13 for the comma).