Glacier comma: Difference between revisions
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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) | 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 == | == See also == | ||
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