3ifdo: Difference between revisions

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{{Infobox IDO|steps=3}}
{{Infobox IFDO|steps=3}}
'''3ido''', if the attempt is made to use it as an actual scale, would divide the [[octave]] into three [[IDO|inverse-arithmetically equal]] parts. The notes of this scale form a classic minor triad.
'''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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! Cents
! Cents
! Ratio
! Ratio
! Decimal
! Interval name
! Interval name
! Audio
! Audio
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| 0.00
| 0.00
| [[1/1]]
| [[1/1]]
| 1.0000
| perfect unison
| perfect unison
|  
|  
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| [[File:Jid_3_2_pluck_adu_dr220.mp3]]
| [[File:Jid_3_2_pluck_adu_dr220.mp3]]
|-
|-
| 2
| 3
| 1200.0
| 1200.00
| [[2/1]]
| [[2/1]]
| 2.0000
| perfect octave
| perfect octave
| [[File:Jid_2_1_pluck_adu_dr220.mp3]]
| [[File:Jid_2_1_pluck_adu_dr220.mp3]]
|}
|}


[[Category:IDO]]
[[Category:IFDO|#]]