29/1

Interval information

Ratio	29/1
Subgroup monzo	29 [1⟩
Size in cents	5829.577¢
Name	29th harmonic
Color name	c429o7 quadcotweno 7th
FJS name	[math]\displaystyle{ \text{m35}^{29} }[/math]
Special properties	harmonic, prime harmonic
Tenney height (log2 nd)	4.85798
Weil height (log2 max(n, d))	9.71596
Wilson height (sopfr(nd))	29
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.88238 bits
Open this interval in xen-calc

29/1, the 29th harmonic, is the harmonic past 28/1 and before 30/1. It is about four octaves and ten semitones in size. Used in harmony, it sounds particularly wide: if the base note is F1, the higher note will be about Eb6. That is for all practical purposes beyond the range of choral music. However, it remains useful in some instrumental solos and ensembles. It is the basis of 29-limit harmony, as many 29-limit intervals can be expressed as the difference between this and another harmonic.

See also

• 29/16 – its octave-reduced form