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*[https://sites.google.com/site/240edo/ADO-EDL.XLS An spreadsheet] showing relation between harmonics , superparticular ratios and ADO system
*[https://sites.google.com/site/240edo/ADO-EDL.XLS An spreadsheet] showing relation between harmonics , superparticular ratios and ADO system


Relation between Otonality and ADO system
== Relation between Otonality and ADO system ==


We can consider ADO system as **Otonal system** .Otonality is a term introduced by **Harry Partch** to describe chords whose notes are the overtones (multiples) of a given fixed tone.Considering ADO , an Otonality is a collection of pitches which can be expressed in ratios that have equal denominators. For example, 1/1, 5/4, and 3/2 form an Otonality because they can be written as 4/4, 5/4, 6/4. Every Otonality is therefore part of the **harmonic series**. nominator here is called "**Numerary nexus**".An Otonality corresponds to an **arithmetic series** of frequencies or a **harmonic series** of wavelengths or distances on a **string instrument**.
We can consider ADO system as **Otonal system** .Otonality is a term introduced by **Harry Partch** to describe chords whose notes are the overtones (multiples) of a given fixed tone.Considering ADO , an Otonality is a collection of pitches which can be expressed in ratios that have equal denominators. For example, 1/1, 5/4, and 3/2 form an Otonality because they can be written as 4/4, 5/4, 6/4. Every Otonality is therefore part of the **harmonic series**. nominator here is called "**Numerary nexus**".An Otonality corresponds to an **arithmetic series** of frequencies or a **harmonic series** of wavelengths or distances on a **string instrument**.
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- How to approximate EDO and ADO systems with each other?[https://sites.google.com/site/240edo/ADOandEDO.xls Download this file]
- How to approximate EDO and ADO systems with each other?[https://sites.google.com/site/240edo/ADOandEDO.xls Download this file]
== Related to ADO.==


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