3ifdo: Difference between revisions
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{{Infobox IFDO|steps=3}} | {{Infobox IFDO|steps=3}} | ||
'''3ifdo''' ([[IFDO|inverse-arithmetic frequency division of the octave]]), or ''' | '''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. | ||
== Intervals == | == Intervals == | ||
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[[Category:IFDO]] | [[Category:IFDO|#]] | ||
Latest revision as of 03:58, 30 July 2025
| ← 2ifdo 3ifdo 4ifdo → | |
|---|---|
| Prime factors | 3 |
| Fifth | 6 / 4 (701.9 cents) |
3ifdo (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.
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 |