18/1: Difference between revisions

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Created page with "{{Infobox Interval | Name = 18th harmonic }} '''18/1''', the '''18th harmonic''', is the harmonic past 17/1 and before 19/1. It is about four octaves and two [..."
 
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'''18/1''', the '''18th harmonic''', is the [[harmonic]] past [[17/1]] and before [[19/1]]. It is about four [[octave]]s and two [[semitone]]s in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about D6. Think of a soprano and a bass at their extremes. Like [[12/1]], it can be approached in various ways of stacking, such as 1–2–3–6–9–18, an alternate sequence of octaves and [[3/2|fifth]]s.  
'''18/1''', the '''18th harmonic''', is the [[harmonic]] past [[17/1]] and before [[19/1]]. It is about four [[2/1|octaves]] and two [[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 D6. Think of a soprano and a bass at their extremes. Like [[12/1]], it can be approached in various ways of stacking, such as 1–2–3–6–9–18, an alternate sequence of octaves and [[3/2|fifths]].  


== See also ==
== See also ==
* [[9/8]] – its [[octave reduction|octave-reduced]] form
* [[9/8]] – its [[octave reduction|octave-reduced]] form

Latest revision as of 17:06, 26 February 2025

Interval information
Ratio 18/1
Factorization 2 × 32
Monzo [1 2
Size in cents 5003.91¢
Name 18th harmonic
FJS name [math]\displaystyle{ \text{M30} }[/math]
Special properties harmonic
Tenney norm (log2 nd) 4.16993
Weil norm (log2 max(n, d)) 8.33985
Wilson norm (sopfr(nd)) 8
Open this interval in xen-calc

18/1, the 18th harmonic, is the harmonic past 17/1 and before 19/1. It is about four octaves and two semitones in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about D6. Think of a soprano and a bass at their extremes. Like 12/1, it can be approached in various ways of stacking, such as 1–2–3–6–9–18, an alternate sequence of octaves and fifths.

See also