21/1: Difference between revisions

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Created page with "{{Infobox Interval | Name = 21st harmonic }} '''21/1''', the '''21st harmonic''', is the harmonic past 20/1 and before 22/1. It is about four octaves and five..."
 
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{{Infobox Interval
{{Infobox Interval
| Name = 21st harmonic
| Name = 21st harmonic
| Color name = c<sup>4</sup>z4, quadcozo 4th
}}
}}
'''21/1''', the '''21st harmonic''', is the [[harmonic]] past [[20/1]] and before [[22/1]]. It is about four [[octave]]s and five [[semitone]]s in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about F6. Think of a soprano and a bass at their extremes. However, it can be approached as a stack of [[3/1]] and [[7/1]], making [[chord]]s like 1-3-21, 1-7-21, or 1-3-7-21.  
'''21/1''', the '''21st harmonic''', is the [[harmonic]] past [[20/1]] and before [[22/1]]. It is about four [[octave]]s and five [[semitone]]s in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about F6. Think of a soprano and a bass at their extremes. However, it can be approached as a stack of [[3/1]] and [[7/1]], making [[chord]]s like 1-3-21, 1-7-21, or 1-3-7-21.  

Revision as of 10:31, 10 January 2024

Interval information
Ratio 21/1
Factorization 3 × 7
Monzo [0 1 0 1
Size in cents 5270.781¢
Name 21st harmonic
Color name c4z4, quadcozo 4th
FJS name [math]\displaystyle{ \text{P32}^{7} }[/math]
Special properties harmonic
Tenney norm (log2 nd) 4.39232
Weil norm (log2 max(n, d)) 8.78463
Wilson norm (sopfr(nd)) 10
Open this interval in xen-calc

21/1, the 21st harmonic, is the harmonic past 20/1 and before 22/1. It is about four octaves and five semitones in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about F6. Think of a soprano and a bass at their extremes. However, it can be approached as a stack of 3/1 and 7/1, making chords like 1-3-21, 1-7-21, or 1-3-7-21.

See also