User:Dave Keenan/sandbox: Difference between revisions

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When the EDO has fifths so narrow that the apotome becomes very small or negative (e.g. 33-EDO), a limma-fraction notation must be used. When the EDO has fifths so wide that the limma becomes very small or negative (e.g. 32-EDO), an apotome-fraction notation must be used.

The symbols were chosen from the Sagittal repertoire so they progressively increase in width and don't violate flag arithmetic. Beyond those requirements, the choice might have been arbitrary, but it turned out to be possible to choose symbols whose tempered-JI meaning is valid in most of the EDOs they notate.

The symbols were chosen from the Sagittal repertoire so they progressively increase in width and don't violate flag arithmetic. Beyond those requirements, the choice might have been arbitrary, but it turned out to be possible to choose symbols whose tempered-JI meaning is valid in most of the EDOs they notate. And when a single-shaft symbol only has flags on one side of its shaft, they are always on the left for the apotome-fractions and on the right for the limma-fractions.

And when a single-shaft symbol only has flags on one side of its shaft, they are always on the left for the apotome-fractions and on the right for the limma-fractions.

=== Bad-fifths apotome-fraction notation ===

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 When the EDO has fifths so narrow that the apotome becomes very small or negative (e.g. 33-EDO), a limma-fraction notation must be used. When the EDO has fifths so wide that the limma becomes very small or negative (e.g. 32-EDO), an apotome-fraction notation must be used.
-The symbols were chosen from the Sagittal repertoire so they progressively increase in width and don't violate flag arithmetic. Beyond those requirements, the choice might have been arbitrary, but it turned out to be possible to choose symbols whose tempered-JI meaning is valid in most of the EDOs they notate.
+The symbols were chosen from the Sagittal repertoire so they progressively increase in width and don't violate flag arithmetic. Beyond those requirements, the choice might have been arbitrary, but it turned out to be possible to choose symbols whose tempered-JI meaning is valid in most of the EDOs they notate. And when a single-shaft symbol only has flags on one side of its shaft, they are always on the left for the apotome-fractions and on the right for the limma-fractions.
-And when a single-shaft symbol only has flags on one side of its shaft, they are always on the left for the apotome-fractions and on the right for the limma-fractions.
 === Bad-fifths apotome-fraction notation ===