5edo: Difference between revisions

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[[File:5edo scale.mp3|thumb|A chromatic 5edo scale on C.]]

If 5edo is regarded as a temperament, which is to say as 5tet, then the most salient fact is that 16/15 is tempered out. This means in 5tet the major third and the fourth, and the minor sixth and the fifth, are not distinguished; this is 5-limit [[father]] temperament.

If 5edo is regarded as a temperament, which is to say as 5tet, then the most salient fact is that [[16/15]] is tempered out. This means in 5tet the major third and the fourth, and the minor sixth and the fifth, are not distinguished; this is 5-limit [[father]] temperament.

Also tempered out is 27/25, if we temper this out in preference to 16/15 we obtain [[bug]] temperament, which equates 10/9 with 6/5: it is a little more perverse even than father. Because these intervals are so large, this sort of analysis is less significant with 5 than it becomes with larger and more accurate divisions, but it still plays a role. For example, I-IV-V-I is the same as I-III-V-I and involves triads with common intervals because of fourth-thirds equivalence.

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 [[File:5edo scale.mp3|thumb|A chromatic 5edo scale on C.]]
-If 5edo is regarded as a temperament, which is to say as 5tet, then the most salient fact is that 16/15 is tempered out. This means in 5tet the major third and the fourth, and the minor sixth and the fifth, are not distinguished; this is 5-limit [[father]] temperament.
+If 5edo is regarded as a temperament, which is to say as 5tet, then the most salient fact is that [[16/15]] is tempered out. This means in 5tet the major third and the fourth, and the minor sixth and the fifth, are not distinguished; this is 5-limit [[father]] temperament.
 Also tempered out is 27/25, if we temper this out in preference to 16/15 we obtain [[bug]] temperament, which equates 10/9 with 6/5: it is a little more perverse even than father. Because these intervals are so large, this sort of analysis is less significant with 5 than it becomes with larger and more accurate divisions, but it still plays a role. For example, I-IV-V-I is the same as I-III-V-I and involves triads with common intervals because of fourth-thirds equivalence.