Glossary of scale properties: Difference between revisions
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* **Strict Propriety:** A scale is strictly proper if the Generic Interval classes are discrete. Replace the word "larger" with "larger-than-or-equal-to" in the definition above. The 12-tone diatonic scale is proper, but not strictly proper. | * **Strict Propriety:** A scale is strictly proper if the Generic Interval classes are discrete. Replace the word "larger" with "larger-than-or-equal-to" in the definition above. The 12-tone diatonic scale is proper, but not strictly proper. | ||
**Weakly Epimorphic:** A scale is weakly epimorphic if, under some val, all scale degrees are "filled," no matter which note you choose as the | **Weakly Epimorphic:** A scale is weakly epimorphic if, under some val, all scale degrees are "filled," no matter which note you choose as the tonic. | ||
* **Epimorphic:** A weakly epimorphic scale is epimorphic if it keeps rising in pitch as you go to higher scale degrees--the (n+1)st degree is higher than the nth degree. | * **Epimorphic:** A weakly epimorphic scale is epimorphic if it keeps rising in pitch as you go to higher scale degrees--the (n+1)st degree is higher than the nth degree. | ||
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<strong>Propriety:</strong> A scale is proper if there is no overlapping of Generic Interval Classes. This means that no third is larger than a fourth, no fourth is larger than a fifth, etc...<br /> | <strong>Propriety:</strong> A scale is proper if there is no overlapping of Generic Interval Classes. This means that no third is larger than a fourth, no fourth is larger than a fifth, etc...<br /> | ||
<ul><li><strong>Strict Propriety:</strong> A scale is strictly proper if the Generic Interval classes are discrete. Replace the word &quot;larger&quot; with &quot;larger-than-or-equal-to&quot; in the definition above. The 12-tone diatonic scale is proper, but not strictly proper.</li></ul><br /> | <ul><li><strong>Strict Propriety:</strong> A scale is strictly proper if the Generic Interval classes are discrete. Replace the word &quot;larger&quot; with &quot;larger-than-or-equal-to&quot; in the definition above. The 12-tone diatonic scale is proper, but not strictly proper.</li></ul><br /> | ||
<strong>Weakly Epimorphic:</strong> A scale is weakly epimorphic if, under some val, all scale degrees are &quot;filled,&quot; no matter which note you choose as the | <strong>Weakly Epimorphic:</strong> A scale is weakly epimorphic if, under some val, all scale degrees are &quot;filled,&quot; no matter which note you choose as the tonic.<br /> | ||
<ul><li><strong>Epimorphic:</strong> A weakly epimorphic scale is epimorphic if it keeps rising in pitch as you go to higher scale degrees--the (n+1)st degree is higher than the nth degree.</li></ul><br /> | <ul><li><strong>Epimorphic:</strong> A weakly epimorphic scale is epimorphic if it keeps rising in pitch as you go to higher scale degrees--the (n+1)st degree is higher than the nth degree.</li></ul><br /> | ||
<strong>Distributional Evenness:</strong> A scale is Distributionally Even if there are no more than two Interval sizes for each Generic Interval class (e.g. Major/Minor thirds, Perfect/Augmented fourths, etc).<br /> | <strong>Distributional Evenness:</strong> A scale is Distributionally Even if there are no more than two Interval sizes for each Generic Interval class (e.g. Major/Minor thirds, Perfect/Augmented fourths, etc).<br /> | ||