Encapsulated PostScript programs to explore musical scales in Just Intonation

[NOTE: The thumbnail images and some links to the Encapsulated PostScript (EPS) files open them in a viewer. These look great on my Mac, but not all systems render them graphically. They can all be downloaded using links (downward arrows) at the bottom of the page.]

Introduction

In the course of my music theoretical explorations, I have found certain graphical representations helpful in understanding scales and tunings in just intonation. And after I realized that PostScript was a general programming language capable of generating high-quality resolution-independent graphics on a wide variety of platforms, I taught myself enough to develop these Encapsulated PostScript graphics. Each one represents a particular graphical idea, and the file can be easily modified to change the scale and/or many style options (in the "USER SETUP" section; see the Variations for examples of the ease of editing). The resulting EPS graphic can not only be printed on any PostScript printer (or other printers using "Ghostscript"), but can also be imported (and resized if necessary) into many graphics, page-layout, and word-processing programs, for incorporation into other documents.

My intention in making these EPS files available is that, if you are interested, you can download them and modify them to suit your needs. However, I make no guarantees as to suitability for any particular purpose, and assume no responsibility for any consequences of using these programs. But hey, they work for me...

the PostScript language

PostScript (a registered trademark of Adobe Systems Incorporated) is a "page description language" but it is also a programming language. PostScript files consist of ordinary (ASCII) text characters. You can edit these EPS files with any text editor or word processor, provided you save them as plain ASCII text and use the .EPS file extension. Then view the results, for example by using the free software "Ghostscript", available from the "Ghostscript, Ghostview and GSview" site. The Ghostscript site has many links to other resources, including tutorials on PostScript; one particularly good one is A First Guide to PostScript.

You can use these examples without knowing much of the PostScript language, but you should at least know some of the syntax conventions. The following characters are special in PostScript:
%
means the rest of the line is a comment (not page description); useful to "comment out" unneeded code
/
names are preceded by a slash (to define them; no slash to use them)
( )
character strings are surrounded by parens
[ ]
arrays are surrounded by square brackets
{ }
executable modules are surrounded by curly braces
< >
hexadecimal strings are surrounded by angle brackets

Spaces, tabs, and line returns are equivalent, and any extra ones are ignored, so you can add spaces or blank lines for legibility. Beware that all the built-in commands in PostScript are just words, and if you inadvertently redefine one, the file may not work. In particular, "scale" is a built-in operator, so don't use it as a name. Also, "true" & "false" are the logical constants, useful as on/off switches.

What makes the graphic "Encapsulated" is a set of special comments that start with %%. One essential one is the "%%BoundingBox" line, which specifies the coordinates of the lower left and upper right corners of the graphic. In most of my EPS files there is a place in the "user setup" to specify the bounding box, and these same numbers must also go on the "%%BoundingBox" line at the top, so that the graphic can be correctly imported and sized in other applications. (The unit of length in PostScript is a "point", where there are 72 points per inch.)

the EPS files

For each, click on the thumbnail image or the filename to see a page with a full-size rendering,  more details, and a source link (a view window will open with a download button) in the file list at the bottom. (For most, you can also see a "Variation" that shows the explicit changes to the file that give a completely different result.)

NOTE: All software made available through this page and subsidiary pages is supplied on an "as is" basis, with no warrantees of any kind. The author bears no responsibility for any consequences of using this software.