convex

A scale is convex if every octave equivalence class contained in the convex hull of the classes of the scale is itself a class of the scale.

[from Gene Ward Smith, Yahoo tuning-math message 3318 (Fri Feb 15, 2002 9:38 pm)]

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in other words, gene is proposing a strict limitation on how far he'll allow you to transpose notes of a fokker periodicity block by its unison vectors [monz: as described in Paul's A Gentle Introduction to Fokker Periodicity Blocks -- an excursion] before the periodicity block ceases to look 'blocky' anymore.

[from Paul Erlich, Yahoo tuning-math message 3323 (Fri Feb 15, 2002 9:38 pm)]

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Updated: 2002.1.15

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