Glacier comma: Difference between revisions
Jump to navigation
Jump to search
ArrowHead294 (talk | contribs) — |
m - duplicate data |
||
| (5 intermediate revisions by 3 users not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox | {{Infobox interval | ||
| Ratio = 373248/371293 | | Ratio = 373248/371293 | ||
| Name = glacier comma | | Name = glacier comma | ||
| Color name = 3u<sup>5</sup>-2, quinthu negative 2nd | | Color name = 3u<sup>5</sup>-2, quinthu negative 2nd | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
The '''glacier comma''' is a [[13-limit]] comma which is the difference between five small tridecimal neutral seconds of [[13/12]] and a perfect fifth ([[3/2]]). | The '''glacier comma''' is a [[13-limit]] comma which is the difference between five small tridecimal neutral seconds of [[13/12]] and a perfect fifth ([[3/2]]). It is a quintic-particular{{idiosyncratic}} interval, that is, of the form ((''n'' + 5)/''n'') / ((''n'' + 3)/(''n'' + 2))<sup>5</sup> = (S(''n'' + 1)⋅S(''n'' + 2)<sup>2</sup>) / (S(''n'' + 3)<sup>2</sup>⋅S(''n'' + 4)). | ||
== Temperaments == | == Temperaments == | ||
Tempering out this comma in the 13 | [[Tempering out]] this comma in the 2.3.13 subgroup leads to the [[glacier]] temperament. | ||
== See also == | |||
* [[Quinticular comma]] – another example of quintic-particular comma | |||
[[Category:Commas named after composers]] | |||
[[Category:Commas named after music theorists]] | |||
Latest revision as of 15:30, 3 May 2026
| Interval information |
The glacier comma is a 13-limit comma which is the difference between five small tridecimal neutral seconds of 13/12 and a perfect fifth (3/2). It is a quintic-particular[idiosyncratic term] interval, that is, of the form ((n + 5)/n) / ((n + 3)/(n + 2))5 = (S(n + 1)⋅S(n + 2)2) / (S(n + 3)2⋅S(n + 4)).
Temperaments
Tempering out this comma in the 2.3.13 subgroup leads to the glacier temperament.
See also
- Quinticular comma – another example of quintic-particular comma