2afdo: Difference between revisions
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''' | {{Infobox AFDO|steps=2}} | ||
'''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]]. It 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. 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]]. | |||
== Intervals == | == Intervals == | ||
| Line 6: | Line 7: | ||
! Cents | ! Cents | ||
! Ratio | ! Ratio | ||
! Decimal | |||
! Interval name | ! Interval name | ||
! Audio | |||
|- | |- | ||
| 0 | | 0 | ||
| 0.0 | | 0.0 | ||
| [[1/1]] | | [[1/1]] | ||
| 1.0000 | |||
| perfect unison | | perfect unison | ||
| | |||
|- | |- | ||
| 1 | | 1 | ||
| 702.0 | | 702.0 | ||
| [[3/2]] | | [[3/2]] | ||
| 1.5000 | |||
| just perfect fifth | | just perfect fifth | ||
| [[File:Jid_3_2_pluck_adu_dr220.mp3]] | |||
|- | |- | ||
| 2 | | 2 | ||
| 1200.0 | | 1200.0 | ||
| [[2/1]] | | [[2/1]] | ||
| 2.0000 | |||
| perfect octave | | perfect octave | ||
| [[File:Jid_2_1_pluck_adu_dr220.mp3]] | |||
|} | |} | ||
[[Category: | [[Category:IFDO|#]] | ||
Latest revision as of 03:58, 30 July 2025
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. It 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. 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.
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 |