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When I was exploring some alternate time signatures, I came across two references in the Wikipedia to "horogram patterns". Now, Google thinks this is a spelling error for hologram, and so searching for it doesn't turn up anything interesting.

Does anybody know what a horogram pattern is and how it relates to unusual time signatures?

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see,… which I found by combining Kraig Grady (the composer associated with them in the wiki article) with horogram in my searches – Dave Oct 8 '14 at 13:22 relates horograms to tuning – Dave Oct 8 '14 at 13:38
@Dave seems to have found the same links I'd have recommended. Be warned: "Horogram pattern" can send you off to similar mathematical structures applied to optical surfaces! By the way, a handy Google tip: enclose the desired word in quotes and you'll avoid the "autocorrect search term" annoyance. – Carl Witthoft Oct 8 '14 at 13:45

Papers on Horogram Rhythms can be found at and at with a discussion of a possibly better algorithm by Viggo Brun at

You use horograms to algorithmically generate long rhythmic and scalar patterns using the Golden Ratio (Phi).

Horagrams are diagrams consisting of concentric circles crossed by a set of radial lines. "Horagram" comes from the Latin "hora," hour. Just as you can see what time it is by observing the angle of the "little hand" on a conventional analog clock (or the shadow on a sundial if you are a medievalist), so you can tell what pitch is indicated by the angle of a radial line on a horagram. Source: 5- TO 9-TONE, OCTAVE-REPEATING SCALES: FROM WILSON'S GOLDEN HORAGRAMS OF THE SCALE TREE by David J. Finnamore

The complete explanation of Golden Horograms is far too complex to explain here so I suggest Finnamore's article above, which although it's talking about pitches could also be applied to meters.

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