19/18: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 19/18
| Ratio = 19/18
| Monzo = -1 -2 0 0 0 0 0 1
| Monzo = -1 -2 0 0 0 0 0 1
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[[Category:19-limit]]
[[Category:19-limit]]
[[Category:Interval]]
[[Category:Semitone]]
[[Category:Semitone]]
[[Category:Second]]
[[Category:Second]]
[[Category:Superparticular]]
[[Category:Superparticular]]
[[Category:Boethius]]
[[Category:Boethius]]
[[Category:Listen]]
[[Category:Pages with internal sound examples]]

Revision as of 03:53, 15 December 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