2afdo: Difference between revisions
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Another possibly interesting equivalence |
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'''2afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''2odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into two arithmetically equal parts. It is a superset of 1afdo (equivalent to [[1edo]]) and a subset of [[3afdo]]. As a [[scale]] it may also be known as [[harmonic mode|mode 2 of the harmonic series]] or the [[overtone scale #Over-n scales|Over-2]] scale. The only non-trivial intervals are the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1, and its [[octave complement]] [[4/3]]. | '''2afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''2odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into two arithmetically equal parts. It is a superset of 1afdo (equivalent to [[1edo]]) and a subset of [[3afdo]]. As a [[scale]] it may also be known as [[harmonic mode|mode 2 of the harmonic series]] or the [[overtone scale #Over-n scales|Over-2]] scale. The only non-trivial intervals are the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1, and its [[octave complement]] [[4/3]]. | ||
2afdo is equivalent to [[IFDO|2ifdo]] (2 inverse-arithmetic frequency divisions of the octave). | 2afdo is equivalent to [[IFDO|2ifdo]] (2 inverse-arithmetic frequency divisions of the octave), and to the [[1L 1s|monowood]] [[mos scale]] tuned to the just perfect fifth or just perfect fourth. | ||
== Intervals == | == Intervals == | ||
Revision as of 13:11, 15 October 2024
2afdo (arithmetic frequency division of the octave), or 2odo (otonal division of the octave), if the attempt is made to use it as an actual tuning system, would divide the octave into two arithmetically equal parts. It is a superset of 1afdo (equivalent to 1edo) and a subset of 3afdo. As a scale it may also be known as mode 2 of the harmonic series or the Over-2 scale. The only non-trivial intervals are the just perfect fifth 3/2, since 3/2 is arithmetically halfway between 1/1 and 2/1, and its octave complement 4/3.
2afdo is equivalent to 2ifdo (2 inverse-arithmetic frequency divisions of the octave), and to the monowood mos scale tuned to the just perfect fifth or just perfect fourth.
Intervals
| # | Cents | Ratio | Decimal | Interval name | Audio |
|---|---|---|---|---|---|
| 0 | 0.0 | 1/1 | 1.0000 | perfect unison | |
| 1 | 702.0 | 3/2 | 1.5000 | just perfect fifth | |
| 2 | 1200.0 | 2/1 | 2.0000 | perfect octave |