30/1

Interval information

Ratio	30/1
Factorization	2 × 3 × 5
Monzo	[1 1 1⟩
Size in cents	5888.269¢
Name	30th harmonic
FJS name	[math]\displaystyle{ \text{M35}^{5} }[/math]
Special properties	harmonic
Tenney height (log2 nd)	4.90689
Weil height (log2 max(n, d))	9.81378
Wilson height (sopfr(nd))	10
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.90015 bits
Open this interval in xen-calc

30/1, the 30th harmonic, is the harmonic past 29/1 and before 31/1. It is about four octaves and eleven semitones in size. Used in harmony, it sounds particularly wide: if the base note is F1, the higher note will be about E6. That is for all practical purposes beyond the range of choral music. However, it remains useful in some instrumental solos and ensembles. 30 is a largely composite number, so this harmonic can be approached in various ways of stacking, such as 1–2–3–5–6–10–15–30, on which higher-limit intervals can be added to enrich its colors.

See also

• 15/8 – its octave-reduced form