5L 3s: Difference between revisions

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EDOs that support A-Team include [[13edo]], [[18edo]], and [[31edo]].

* 18edo can be used for a large L/s ratio of 3, (thus 18edo oneirotonic is distorted 17edo diatonic), or for nearly pure 9/8 and 7/6.

* 18edo can be used for a large L/s ratio of 3, (thus 18edo oneirotonic is distorted 17edo diatonic), or for its nearly pure 9/8 and 7/6. 18edo is also more suited for conventionally jazz styles due to its 6-fold symmetry.

* 31edo is very close to the POTE tuning, and can be used to make the major mos3rd a near-just 5/4.

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A-Team oneirotonic may be a particularly good place to bring to bear [[primodality]]'s high harmonic series chords, as A-Team temperament doesn't yield many low-complexity chords.

18edo may be a better basis for a style of oneirotonic primodality using comma sharp and comma flat fifths than 13edo (in particular diesis sharp and diesis flat fifths; diesis is a category with a central region of 32 to 40c). In 18edo both the major fifth (+31.4c) and the minor fifth (-35.3c) are about a diesis off from a just perfect fifth. In 13edo only the major fifth is a diesis sharp, and it is +36.5c off from just; so there's less wiggle room for a [[neji]] if you want every major fifth to be at most a diesis sharp)~~. 18edo is also more suited for conventionally jazz styles due to its 6-fold symmetry~~.

18edo may be a better basis for a style of oneirotonic primodality using comma sharp and comma flat fifths than 13edo (in particular diesis sharp and diesis flat fifths; diesis is a category with a central region of 32 to 40c). In 18edo both the major fifth (+31.4c) and the minor fifth (-35.3c) are about a diesis off from a just perfect fifth. In 13edo only the major fifth is a diesis sharp, and it is +36.5c off from just; so there's less wiggle room for a [[neji]] if you want every major fifth to be at most a diesis sharp).

31nejis and 34nejis (though 34edo is not an A-Team tuning) also provide opportunities to use dieses directly, since 1\31 (38.71c) and 1\34 (35.29c) are both dieses.

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 EDOs that support A-Team include [[13edo]], [[18edo]], and [[31edo]].
-* 18edo can be used for a large L/s ratio of 3, (thus 18edo oneirotonic is distorted 17edo diatonic), or for nearly pure 9/8 and 7/6.
+* 18edo can be used for a large L/s ratio of 3, (thus 18edo oneirotonic is distorted 17edo diatonic), or for its nearly pure 9/8 and 7/6. 18edo is also more suited for conventionally jazz styles due to its 6-fold symmetry.
 * 31edo is very close to the POTE tuning, and can be used to make the major mos3rd a near-just 5/4.
@@ Line 831: / Line 831: @@
 A-Team oneirotonic may be a particularly good place to bring to bear [[primodality]]'s high harmonic series chords, as A-Team temperament doesn't yield many low-complexity chords.
-edo may be a better basis for a style of oneirotonic primodality using comma sharp and comma flat fifths than 13edo (in particular diesis sharp and diesis flat fifths; diesis is a category with a central region of 32 to 40c). In 18edo both the major fifth (+31.4c) and the minor fifth (-35.3c) are about a diesis off from a just perfect fifth. In 13edo only the major fifth is a diesis sharp, and it is +36.5c off from just; so there's less wiggle room for a [[neji]] if you want every major fifth to be at most a diesis sharp). 18edo is also more suited for conventionally jazz styles due to its 6-fold symmetry.
+edo may be a better basis for a style of oneirotonic primodality using comma sharp and comma flat fifths than 13edo (in particular diesis sharp and diesis flat fifths; diesis is a category with a central region of 32 to 40c). In 18edo both the major fifth (+31.4c) and the minor fifth (-35.3c) are about a diesis off from a just perfect fifth. In 13edo only the major fifth is a diesis sharp, and it is +36.5c off from just; so there's less wiggle room for a [[neji]] if you want every major fifth to be at most a diesis sharp).
 nejis and 34nejis (though 34edo is not an A-Team tuning) also provide opportunities to use dieses directly, since 1\31 (38.71c) and 1\34 (35.29c) are both dieses.