21/1: Difference between revisions

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| Color name = c<sup>4</sup>z4, quadcozo 4th
| Color name = c<sup>4</sup>z4, quadcozo 4th
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'''21/1''', the '''21st harmonic''', is the [[harmonic]] past [[20/1]] and before [[22/1]]. It is about four [[2/1|octaves]] and five [[semitone (interval size measure)|semitone]] 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 [[2/1|octaves]] and five [[semitone (interval size measure)|semitone]] 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.  


== See also ==
== See also ==

Latest revision as of 16:59, 26 February 2025

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 semitone 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