5L 3s: Difference between revisions
m →Proposed mode names: collapse mode names table |
m →Tunings: add 2/1, minor rewording |
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* With step ratios between 5:2 and 2:1, the minor 2-mosstep is close to [[7/6]]. | * With step ratios between 5:2 and 2:1, the minor 2-mosstep is close to [[7/6]]. | ||
EDOs that are in the hypohard range include [[13edo]], [[18edo]], and [[31edo]], and are associated with [[5L 3s/Temperaments#A-Team|A-Team]] temperament. | |||
* 13edo has characteristically small 1-mossteps of about 185¢. It is uniformly compressed 12edo, so it has distorted versions of non-diatonic 12edo scales. It essentially has the best [[11/8]] out of all hypohard tunings. | * 13edo has characteristically small 1-mossteps of about 185¢. It is uniformly compressed 12edo, so it has distorted versions of non-diatonic 12edo scales. It essentially has the best [[11/8]] out of all hypohard tunings. | ||
* 18edo can be used for a large step ratio of 3, (thus 18edo oneirotonic is distorted 17edo diatonic, or for its nearly pure 9/8 and 7/6. It also makes rising fifths (733.3¢, a perfect 5-mosstep) and falling fifths (666.7¢, a major 4-mosstep) almost equally off from a just perfect fifth. 18edo is also more suited for conventionally jazz styles due to its 6-fold symmetry. | * 18edo can be used for a large step ratio of 3, (thus 18edo oneirotonic is distorted 17edo diatonic, or for its nearly pure 9/8 and 7/6. It also makes rising fifths (733.3¢, a perfect 5-mosstep) and falling fifths (666.7¢, a major 4-mosstep) almost equally off from a just perfect fifth. 18edo is also more suited for conventionally jazz styles due to its 6-fold symmetry. | ||
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8/5; | 8/5; | ||
12/7; | 12/7; | ||
9/5; 16/9;}} | 9/5; 16/9; | ||
2/1}} | |||
=== Hyposoft tunings === | === Hyposoft tunings === | ||
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22/13; 17/10; | 22/13; 17/10; | ||
9/5; | 9/5; | ||
15/8;}} | 15/8; | ||
2/1}} | |||
=== Parasoft and ultrasoft tunings === | === Parasoft and ultrasoft tunings === | ||
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16/9; | 16/9; | ||
20/11; | 20/11; | ||
13/7;}} | 13/7; | ||
2/1}} | |||
===Parahard tunings=== | ===Parahard tunings=== | ||
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11/7; | 11/7; | ||
32/17; | 32/17; | ||
34/21;|Step Ratios=4/1}} | 34/21; | ||
2/1|Step Ratios=4/1}} | |||
=== Ultrahard tunings === | === Ultrahard tunings === | ||
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12/7, 22/13; | 12/7, 22/13; | ||
26/15; | 26/15; | ||
49/25, 160/81;|Step Ratios=7/1; 10/1; 12/1}} | 49/25, 160/81; | ||
2/1|Step Ratios=7/1; 10/1; 12/1}} | |||
== Approaches == | == Approaches == | ||