midi software and microtonal music

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PergenLister (text file, right-click and "Save As...") categorically lists every single rank-2 temperament imaginable (except the non-octave and non-5th ones). Also suggests notation options. It can also list only those pergens supported by a specific edo or edo pair.

The first section (PERGEN and Per/Gen cents) describes each pergen without regard to notational issues. The period and generator's cents are given, assuming a 5th of 700¢ + c. The generator is reduced, e.g. (P8/2, P5) has a generator of 100¢ + c, not 700¢ + c. The next two sections show a possible notation for P and G. The last section shows the unreduced pergen, and for false doubles, a possible single-pair notation. Horizontal lines group the pergens into blocks (half-splits, third-splits, etc). Red indicates problems. Generators of 50¢ or less are in red. Enharmonics of a 3rd or more are in red.

Screenshots of the first 69 pergens:





See also Notation Guide for Rank-2 Pergens (33-page pdf, covers 53 pergens, source spreadsheet here)

Pergens are fully explained in this xenwiki article.