17/1: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Created page with "{{Infobox Interval | Color name = quadcoso 2nd, c^417o2 | Name = 17th harmonic }} '''17/1''' is the 17th harmonic."
 
m Update linking
 
(2 intermediate revisions by the same user not shown)
Line 3: Line 3:
| Name = 17th harmonic
| Name = 17th harmonic
}}
}}
'''17/1''', the '''17th harmonic''', is the [[harmonic]] past [[16/1]] and before [[18/1]]. It is about four [[2/1|octaves]] and a [[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 C#6 or Db6. Think of a soprano and a bass at their extremes. It is however, the basis of [[17-limit]] harmony, as many 17-limit intervals can be expressed as the difference between this and another harmonic.


'''17/1''' is the 17th [[harmonic]].
== See also ==
* [[17/16]] – its [[octave reduction|octave-reduced]] form

Latest revision as of 16:56, 26 February 2025

Interval information
Ratio 17/1
Subgroup monzo 17 [1
Size in cents 4904.955¢
Name 17th harmonic
Color name quadcoso 2nd, c^417o2
FJS name [math]\displaystyle{ \text{m30}^{17} }[/math]
Special properties harmonic,
prime harmonic
Tenney norm (log2 nd) 4.08746
Weil norm (log2 max(n, d)) 8.17493
Wilson norm (sopfr(nd)) 17
Open this interval in xen-calc

17/1, the 17th harmonic, is the harmonic past 16/1 and before 18/1. It is about four octaves and a semitone in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about C#6 or Db6. Think of a soprano and a bass at their extremes. It is however, the basis of 17-limit harmony, as many 17-limit intervals can be expressed as the difference between this and another harmonic.

See also