Comma and diesis: Difference between revisions
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== In just intonation == | == In just intonation == | ||
=== By prime limit === | |||
In just intonation, commas are often seen as the difference between two similar intervals, so it is hard to find intervals within this range that are treated as steps in their own right. The 3-limit interval in this range is the '''Pythagorean comma''' of [[531441/524288]], which can be considered an augmented seventh (octave-reduced), and is about 23{{c}}. | In just intonation, commas are often seen as the difference between two similar intervals, so it is hard to find intervals within this range that are treated as steps in their own right. The 3-limit interval in this range is the '''Pythagorean comma''' of [[531441/524288]], which can be considered an augmented seventh (octave-reduced), and is about 23{{c}}. | ||
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* The 11-limit '''quarter tone''' is a ratio of 33/32, and is about 53{{c}}. | * The 11-limit '''quarter tone''' is a ratio of 33/32, and is about 53{{c}}. | ||
* The 13-limit '''minor diesis''' is a ratio of 40/39, and is about 43{{c}}. | * The 13-limit '''minor diesis''' is a ratio of 40/39, and is about 43{{c}}. | ||
=== By delta === | |||
As comma and diesis is the smallest interval class, it may be represented by: | |||
* Any superparticular interval smaller than 29/28 | |||
* Any delta-2 interval smaller than 57/55 | |||
* Any delta-3 interval smaller than 88/85 | |||
== In EDOs == | == In EDOs == | ||