AFDO: Difference between revisions

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[[File:ADO-4.jpg|350px|center]]
[[File:ADO-4.jpg|350px|center]]


This lengths are related to reverse of ratios in system.The above picture shows the differences between divisions of length in 12-ADO system . On the contrary , we have equal divisios of length in **EDL system**:
This lengths are related to reverse of ratios in system.The above picture shows the differences between divisions of length in 12-ADO system . On the contrary , we have equal divisios of length in **[https://sites.google.com/site/240edo/equaldivisionsoflength(edl) EDL system]**:


[[File:ADO-5.jpg|346px|center]]
[[File:ADO-5.jpg|346px|center]]
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*System based on ascending series of superparticular ratios with descending sizes.
*System based on ascending series of superparticular ratios with descending sizes.
*System which covers superparticular ratios between harmonic of number C (in this example 12)to harmonic of Number 2C(in this example 24).
*System which covers superparticular ratios between harmonic of number C (in this example 12)to harmonic of Number 2C(in this example 24).
*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
*The Overtone Series


Relation between Otonality and ADO system
Relation between Otonality and ADO system
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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**.


- Fret position calculator (excel sheet ) based on EDL system and string length
- [http://240edo.googlepages.com/ADO-EDL.XLS Fret position calculator] (excel sheet ) based on EDL system and string length


- How to approximate EDO and ADO systems with each other?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
Related to ADO


<nowiki>**</nowiki>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]**       
[[Category:ADO]]
[[Category:ADO]]
[[Category:todo:cleanup]]
[[Category:todo:cleanup]]
[[Category:todo:Change table images to wikitables]]
[[Category:todo:Change table images to wikitables]]