AFDO: Difference between revisions

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Relation between harmonics and ADO system

ADO ~~(like EDL) is based on **Superparticular~~ ratios~~** and **harmonic series**~~. ~~Have a look at 12-ADO in this picture:~~

== Relation to superparticular ratios ==

An ADO has step sizes of [[superparticular ratios]] with increasing sizes.

~~[[File:~~ADO~~-2.jpg|378px|center]]~~

== Relation between otonality and ADO system ==

~~The above picture shows that ADO system is classified as :~~

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.

*System with unequal **epimorios** (**Superparticular**) divisions.

*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).

*[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 ==~~

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**.

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

@@ Line 28: / Line 28: @@
 Relation between harmonics and ADO system
-ADO (like EDL) is based on **Superparticular ratios** and **harmonic series**. Have a look at 12-ADO in this picture:
+== Relation to superparticular ratios ==
+An ADO has step sizes of [[superparticular ratios]] with increasing sizes.
-[[File:ADO-2.jpg|378px|center]]
+== Relation between otonality and ADO system ==
-The above picture shows that ADO system is classified as :
+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.
-*System with unequal **epimorios** (**Superparticular**) divisions.
-*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).
-*[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 ==
-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**.
 - [http://240edo.googlepages.com/ADO-EDL.XLS Fret position calculator] (excel sheet ) based on EDL system and string length