Subharmonics 3–6: Difference between revisions

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{{Infobox IFDO|steps=3}}
{{Infobox subharmonics|3}}
'''3ifdo''' ([[IFDO|inverse-arithmetic frequency division of the octave]]), or '''3udo''' ([[utonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into three inverse-arithmetically equal parts. It is a superset of 2ifdo (equivalent to [[2afdo]]) and a subset of [[4ifdo]]. It is the first nontrivial ifdo since it is the first ifdo to demonstrate [[chirality]]. Its inverse is [[3afdo]]. As a [[scale]] it may also be known as mode 3 of the subharmonic series or the Under-3 scale. The notes of this IFDO form a [[just minor triad]] in root position.
{{Subharmonics intro|3}} It is the first nontrivial subharmonics scale, since it is the first to demonstrate [[chirality]]. The notes of this scale form a [[just minor triad]] in root position.


== Intervals ==
== Intervals ==
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[[Category:IFDO|#]]
{{Navbox subharmonics}}

Latest revision as of 00:47, 11 October 2026

Subharmonics 3–6
Prime factorization 3 (prime)
Fifth 6/4 (701.955c)

The subharmonics 3–6 are a scale that consists of subharmonics 3 through 6 of the subharmonic series. Above the root they form the ratios 6/6, 6/5, …, 6/3 and repeat at the octave. Used as a tuning system, it is also called 3ifdo. The inverse consists of harmonics 3–6. It is the first nontrivial subharmonics scale, since it is the first to demonstrate chirality. The notes of this scale form a just minor triad in root position.

Intervals

# Cents Ratio Interval name Audio
0 0.00 1/1 perfect unison
1 315.64 6/5 just minor third
2 701.96 3/2 just perfect fifth
3 1200.00 2/1 perfect octave
View • Talk • EditUndertone scales 
Small modes 3 • 11 • 16 • 18
Families 3/: 3 • 18
Related Subharmonic series • Harmonic series • Overtone scale • Ringer scale