10/1

Interval information

Ratio	10/1
Factorization	2 × 5
Monzo	[1 0 1⟩
Size in cents	3986.314¢
Names	10th harmonic, decade
Color name	c3y3, tricoyo 3rd
FJS name	[math]\text{M24}^{5}[/math]
Special properties	harmonic
Tenney height (log2 nd)	3.32193
Weil height (log2 max(n, d))	6.64386
Wilson height (sopfr(nd))	7
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~2.59266 bits
[sound info]
open this interval in xen-calc

English Wikipedia has an article on:

Decade (log scale)

10/1, the 10th harmonic or the decade (symbol: dec), is the harmonic past 9/1 and before 11/1. It is three octaves above 5/4. As a coarse interval size measure it sees many applications in audio engineering. In harmony, it can be approached as a stack of 2/1 and 5/1, making chords like 1-2-10, 1-5-10, or 1-2-5-10.

It is sometimes known as a decave or decatave.

See also

• Gallery of just intervals
• Decave (disambiguation page)
• Ed10