2afdo: Difference between revisions

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'''2ado''', if the attempt is made to use it as an actual scale, would divide the [[octave]] into two arithmetically equal parts. The only intervals in it are [[1/1]] and the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1.
{{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]].
2edf's step size is close to the generator of the [[hemififths]] temperament, which tempers out 2401/2400 and 5120/5103 in the 7-limit.


== Intervals ==
== Intervals ==
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! #
! #
! Cents
! Cents
! Ratio
! Decimal
! Interval name
! Audio
|-
| 0
| 0.0
| [[1/1]]
| 1.0000
| perfect unison
|
|-
|-
| 1
| 1
| 350.98
| 702.0
| [[3/2]]
| 1.5000
| just perfect fifth
| [[File:Jid_3_2_pluck_adu_dr220.mp3]]
|-
|-
| 2
| 2
| 701.96
| 1200.0
| [[2/1]]
| 2.0000
| perfect octave
| [[File:Jid_2_1_pluck_adu_dr220.mp3]]
|}
|}


[[Category:ADO]]
[[Category:IFDO|#]]