20/1: Difference between revisions

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Created page with "{{Infobox Interval | Name = 20th harmonic }} '''20/1''', the '''20th harmonic''', is the harmonic past 19/1 and before 21/1. It is about four octaves and four..."
 
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'''20/1''', the '''20th harmonic''', is the [[harmonic]] past [[19/1]] and before [[21/1]]. It is about four [[octave]]s and four [[semitone]]s in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about E6. Think of a soprano and a bass at their extremes. Like [[12/1]], it can be approached in various ways of stacking, such as 1–2–4–5–10–20.  
'''20/1''', the '''20th harmonic''', is the [[harmonic]] past [[19/1]] and before [[21/1]]. It is about four [[2/1|octaves]] and four [[semitone (interval size measure)|semitones]] in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about E6. Think of a soprano and a bass at their extremes. Like [[12/1]], it can be approached in various ways of stacking, such as 1–2–4–5–10–20.  


== See also ==
== See also ==
* [[5/4]] – its [[octave reduction|octave-reduced]] form
* [[5/4]] – its [[octave reduction|octave-reduced]] form

Latest revision as of 17:07, 26 February 2025

Interval information
Ratio 20/1
Factorization 22 × 5
Monzo [2 0 1
Size in cents 5186.314¢
Name 20th harmonic
FJS name [math]\displaystyle{ \text{M31}^{5} }[/math]
Special properties harmonic
Tenney height (log2 nd) 4.32193
Weil height (log2 max(n, d)) 8.64386
Wilson height (sopfr(nd)) 9
Open this interval in xen-calc

20/1, the 20th harmonic, is the harmonic past 19/1 and before 21/1. It is about four octaves and four semitones in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about E6. Think of a soprano and a bass at their extremes. Like 12/1, it can be approached in various ways of stacking, such as 1–2–4–5–10–20.

See also