10/1: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = 10th harmonic, decatave
| Name = 10th harmonic, decade, decuple
| Color name = c<sup>3</sup>y3, tricoyo 3rd
| Color name = c<sup>3</sup>y3, tricoyo 3rd
| Sound = jid_10_1_pluck_adu_dr55.mp3
| Sound = jid_10_1_pluck_adu_dr55.mp3
}}
}}
{{Wikipedia| Decade (log scale) }}


'''10/1''' is the 10th [[harmonic]]; three octaves above [[5/4]].
'''10/1''', the '''10th harmonic''', '''decade''' or '''decuple''' (symbol: '''dec'''), is the [[harmonic]] past [[9/1]] and before [[11/1]]. It is three [[octave]]s 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 ==
== See also ==
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[Decave]] (disambiguation page)
* [[Ed10]]
[[Category:Taxicab-2 intervals]]

Latest revision as of 10:59, 2 April 2025

Interval information
Ratio 10/1
Factorization 2 × 5
Monzo [1 0 1
Size in cents 3986.314¢
Names 10th harmonic,
decade,
decuple
Color name c3y3, tricoyo 3rd
FJS name [math]\displaystyle{ \text{M24}^{5} }[/math]
Special properties harmonic
Tenney norm (log2 nd) 3.32193
Weil norm (log2 max(n, d)) 6.64386
Wilson norm (sopfr(nd)) 7

[sound info]
Open this interval in xen-calc
English Wikipedia has an article on:

10/1, the 10th harmonic, decade or decuple (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