Horogram: Difference between revisions

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Rectangular Horogram: Added a basic description for a rectangular horogram, including construction and an example. (work-in-progress still)
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{{todo|inline=true|expand|comment=This page is a work in progress. Feel free to edit as needed.}}
A horogram is a diagram that visualizes the [[interval]] pattern for a [[scale]] based on a repeated [[Generator|generating]] interval. This is useful for visualizing the step pattern for [[MOS|moment-of-symmetry scales]] and other similar scales.
A horogram is a diagram that visualizes the interval pattern for a scale based on a repeated generating interval. This is useful for visualizing the step pattern for moment-of-symmetry scales and other similar scales.


Horograms are primarily the work of Erv Wilson.
Horograms are primarily the work of [[Erv Wilson]].


== Diagrams ==
== Diagrams ==


=== Circular Horogram ===
=== Circular horogram ===
The most familiar form of the horogram is based on Wilson's work. Here, the size of the generating intervals are represented as angles, and successive circles radiating from the center represent increasingly chromatic child scales.
The most familiar form of the horogram is based on Wilson's work. Here, the size of the generating intervals are represented as angles, and successive circles radiating from the center represent increasingly chromatic (fine) child scales.


==== Example ====
==== Example ====
{{todo|inline=1|add examples|text=Add an example.}}


==== Construction ====
==== Construction ====
The construction of a circular horogram is based on rotating a pointer hand by the same angle repeatedly.
The construction of a circular horogram is based on rotating a pointer hand by the same angle repeatedly.


=== Rectangular Horogram ===
{{todo|inline=1|complete section|text=Explain in step by step detail.}}
 
=== Rectangular horogram ===
A rectangular version of a horogram conveys the same information as a circular horogram but in a rectangular format.
A rectangular version of a horogram conveys the same information as a circular horogram but in a rectangular format.


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== Applications ==
== Applications ==


=== Moment-of-Symmetry Scales ===
=== Moment-of-symmetry scales ===
{{todo|inline=1|complete section}}
 
=== Max-variety-3 scales ===
{{todo|inline=1|complete section}}
 
== External links ==
* [http://anaphoria.com/wilson.html The Wilson Archives] (contains various PDF files depicting horograms)


=== Max-Variety-3 Scales ===
{{todo|inline=1|add examples}}


== External Links ==
[[Category:Horogram]]
[http://anaphoria.com/wilson.html The Wilson Archives] (contains various PDF files depicting horograms)
[[Category:Erv Wilson]]