Dew comma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
m FloraC moved page 180224/177147 to Dew comma: Large ratio
Fix the infobox; style; +category
Line 1: Line 1:
{{Infobox Interval|Comma=yes|Color name=salo 2nd, s1o2|Name=dew comma}}
{{Infobox Interval
| Monzo = 14 -11 0 0 1
| Name = dew comma
| Color name = salo 2nd, s1o2
| Comma = yes
}}


'''180224/177147''', the '''dew comma''', is an [[11-limit]] (2.3.11 subgroup) comma that is the difference between [[33/32]] and the [[531441/524288|Pythagorean comma]]. This comma is [[tempered out]] in EDOs with fifths in the [[gentle region]] such as [[17edo]], [[29edo]], [[46edo]] and [[63edo]], meaning [[11/8]] is an augmented third (C-E#), [[11/9]] is an augmented second (C-D#), and 27/22 is a diminished fourth (C-Fb). This allows for the access of undecimal intervals in certain modes of the [[5L 7s]] chromatic scale but not the diatonic scale.
The '''dew comma''' ([[ratio]]: 180224/177147, {{monzo|legend=1| 14 -11 0 0 1 }}) is an [[11-limit]] (2.3.11 [[subgroup]]) [[comma]] that is the difference between [[33/32]] and the [[Pythagorean comma]]. This comma is [[tempered out]] in edos with fifths in the [[gentle region]] such as [[17edo]], [[29edo]], [[46edo]] and [[63edo]], meaning [[11/8]] is an augmented third (C-E#), [[11/9]] is an augmented second (C-D#), and 27/22 is a diminished fourth (C-Fb). This allows for the access of undecimal intervals in certain modes of the [[5L 7s]] chromatic scale but not the diatonic scale.
 
[[Category:Dew]]

Revision as of 05:35, 7 August 2023

Interval information
Factorization 214 × 3-11 × 11
Monzo [14 -11 0 0 1
Size in cents 29.81293¢
Name dew comma
Color name salo 2nd, s1o2
FJS name [math]\displaystyle{ \text{d2}^{11} }[/math]
Special properties reduced
Tenney height (log2 nd) 34.894
Weil height (log2 max(n, d)) 34.9189
Wilson height (sopfr(nd)) 72
Comma size small
Open this interval in xen-calc

The dew comma (ratio: 180224/177147, monzo[14 -11 0 0 1) is an 11-limit (2.3.11 subgroup) comma that is the difference between 33/32 and the Pythagorean comma. This comma is tempered out in edos with fifths in the gentle region such as 17edo, 29edo, 46edo and 63edo, meaning 11/8 is an augmented third (C-E#), 11/9 is an augmented second (C-D#), and 27/22 is a diminished fourth (C-Fb). This allows for the access of undecimal intervals in certain modes of the 5L 7s chromatic scale but not the diatonic scale.