AFDO: Difference between revisions

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An '''ADO''' ('''arithmetic divisions of the octave''') or '''EFDO''' ([[equal frequency division]] of the octave)~~, also known as a '''chord of nature''',~~ is a [[period]]ic [[tuning system]] which divides the [[octave]] [[equal frequency division|arithmetically]] rather than logarithmically.

An '''ADO''' ('''arithmetic divisions of the octave''') or '''EFDO''' ([[equal frequency division]] of the octave) is a [[period]]ic [[tuning system]] which divides the [[octave]] [[equal frequency division|arithmetically]] rather than logarithmically.

For example, in [[12ado]] the first degree is [[13/12]], the second is 14/12 ([[7/6]]), and so on. For an ADO system, the distance between interval ratios is equal, rather than the distance between their logarithms like in EDO systems. All ADOs are subsets of [[just intonation]]. ADOs with more divisors such as [[Highly_composite_equal_division|highly composite]] ADOs generally have more useful just intervals.

When treated as a scale, the ado is equivalent to the [[overtone scale]], and when treated as a chord, equivalent to the [[chord of nature]].

== Formula ==

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* [http://www.soundtransformations.btinternet.co.uk/Danerhudyarthemarmonicseries.htm Magic of Tone and the Art of Music by the late Dane Rhudyar]

* [[OD|OD, or otonal division]]: An n-ADO is equivalent to an n-ODO.

* The nth [[Overtone scale|overtone mode, or over-n scale]] is also equivalent to n-ADO.

[[Category:ADO]]

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-An '''ADO''' ('''arithmetic divisions of the octave''') or '''EFDO''' ([[equal frequency division]] of the octave), also known as a '''chord of nature''', is a [[period]]ic [[tuning system]] which divides the [[octave]] [[equal frequency division|arithmetically]] rather than logarithmically.
+An '''ADO''' ('''arithmetic divisions of the octave''') or '''EFDO''' ([[equal frequency division]] of the octave) is a [[period]]ic [[tuning system]] which divides the [[octave]] [[equal frequency division|arithmetically]] rather than logarithmically.
 For example, in [[12ado]] the first degree is [[13/12]], the second is 14/12 ([[7/6]]), and so on. For an ADO system, the distance between interval ratios is equal, rather than the distance between their logarithms like in EDO systems. All ADOs are subsets of [[just intonation]]. ADOs with more divisors such as [[Highly_composite_equal_division|highly composite]] ADOs generally have more useful just intervals.
+When treated as a scale, the ado is equivalent to the [[overtone scale]], and when treated as a chord, equivalent to the [[chord of nature]].
 == Formula ==
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 * [http://www.soundtransformations.btinternet.co.uk/Danerhudyarthemarmonicseries.htm Magic of Tone and the Art of Music by the late Dane Rhudyar]
 * [[OD|OD, or otonal division]]: An n-ADO is equivalent to an n-ODO.
-* The nth [[Overtone scale|overtone mode, or over-n scale]] is also equivalent to n-ADO.
 [[Category:ADO]]
 {{Todo| cleanup }}