19/18: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Rename since "limma" is almost synonymous with "minor second"
m +links
Line 15: Line 15:


== See also ==
== See also ==
* [[36/19]] – its [[octave complement]], the undevicesimal major seventh.
* [[36/19]] – its [[octave complement]], the undevicesimal major seventh
* [[20/19]] – small undevicesimal semitone
* [[20/19]] – the small undevicesimal semitone
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[List of superparticular intervals]]


[[Category:19-limit]]
[[Category:19-limit]]
Line 23: Line 24:
[[Category:Semitone]]
[[Category:Semitone]]
[[Category:Second]]
[[Category:Second]]
[[Category:Minor second]]
[[Category:Superparticular]]
[[Category:Boethius]]
[[Category:Boethius]]
[[Category:Listen]]
[[Category:Listen]]

Revision as of 06:51, 6 February 2021

Interval information
Ratio 19/18
Subgroup monzo 2.3.19 [-1 -2 1
Size in cents 93.60301¢
Name large undevicesimal semitone
undevicesimal limma
Boethius' semitone
Color name 19o2, ino 2nd
FJS name [math]\displaystyle{ \text{m2}^{19} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 8.41785
Weil norm (log2 max(n, d)) 8.49586
Wilson norm (sopfr(nd)) 27

[sound info]
Open this interval in xen-calc

In 19-limit just intonation, 19/18 is the large undevicesimal semitone or Boethius' semitone, measuring about 93.6¢. It is sharp of the Pythagorean limma (256/243) by 513/512, the undevicesimal comma aka Boethius' comma.

The small comma (39/35)/(19/18)2 = 12636/12635 is tempered out in 53, 130, 140, 243, 270, 422, 513, 665, 742, 795, 935, 1065, 1178, 1205, 1308, 1395, 1448, 1578, 2000, 2190, 2243, 2460, 3125, 3178, 3395, and 4703 EDOs.

See also