21/19: Difference between revisions

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In [[19-limit]] [[just intonation]], '''21/19''' is the '''hendrix major second''', also known as the '''undevicesimal submajor second''' or '''undevicesimal supraneutral second'''. It falls short of the [[9/8|Pythagorean major second (9/8)]] by a [[57/56|hendrix comma (57/56)]].  
In [[19-limit]] [[just intonation]], '''21/19''' is the '''hendrix major second''', also known as the '''undevicesimal submajor second''' or '''undevicesimal supraneutral second''', named for falling short of the [[9/8|Pythagorean major second (9/8)]] by a [[57/56|hendrix comma (57/56)]]. In [[counterpyth]] systems, it is equated to the diminished third (the interval formed by two [[256/243|limmas (256/243)]]). It can also be considered to approximate the [[tetracot]] generator.


== See also ==
== See also ==
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[[Category:Neutral second]]
[[Category:Neutral second]]
[[Category:Equable heptatonic]]
[[Category:Equable heptatonic]]
[[Category:Tetracot]]
[[Category:Hendrix]]
[[Category:Hendrix]]

Revision as of 05:21, 18 September 2025

Interval information
Ratio 21/19
Factorization 3 × 7 × 19-1
Monzo [0 1 0 1 0 0 0 -1
Size in cents 173.2679¢
Names hendrix major second,
undevicesimal submajor second,
undevicesimal supraneutral second
Color name 19uz2, nuzo 2nd
FJS name [math]\displaystyle{ \text{M2}^{7}_{19} }[/math]
Special properties reduced
Tenney norm (log2 nd) 8.64024
Weil norm (log2 max(n, d)) 8.78463
Wilson norm (sopfr(nd)) 29

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In 19-limit just intonation, 21/19 is the hendrix major second, also known as the undevicesimal submajor second or undevicesimal supraneutral second, named for falling short of the Pythagorean major second (9/8) by a hendrix comma (57/56). In counterpyth systems, it is equated to the diminished third (the interval formed by two limmas (256/243)). It can also be considered to approximate the tetracot generator.

See also