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| | Neutralized = 2L 6s | | | Neutralized = 2L 6s |
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| 5L 9s is the chromatic scale of the semiquartal MOS.
| | {{MOS intro}} |
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| This MOS, has a generator between 1/5edo (240 cents) and 3/14edo (257.143). The associated fifth ranges from 8\14 to 3\5, thus guaranteeing a diatonic fifth. 4/3 being approximated by +2 generators, the generator is called a semi-fourth. The most salient feature of the semi-fourth interval is that it is an ambiguous 8/7~7/6, or an approximate 15/13 if the scale is viewed as involving factors of 13. This MOS can be viewed as two parallel [[5L_2s|diatonic]] scales separated by a semi-fourth, and has analogous points of low harmonic entropy where two generators would approximate a [[meantone]] or [[superpyth]] 5th, plus an additional one between 15/13 & sqrt(4/3) where it is ideal for [[The_Archipelago#Barbados|barbados]] subgroup harmonies.
| | The associated fifth ranges from 8\[[14edo|14]] to 3\[[5edo|5]], thus guaranteeing a [[diatonic fifth]]. |
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| {| class="wikitable"
| | 4/3 being approximated by +2 generators, the generator is called a semi-fourth. The most salient feature of the semi-fourth interval is that it is an ambiguous {{nowrap|8/7 ~ 7/6}}, or an approximate [[15/13]] if the scale is viewed as involving factors of 13. |
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| | This MOS can be viewed as two parallel [[5L_2s|diatonic]] scales separated by a semi-fourth, and has analogous points of low [[harmonic entropy]] where two generators would approximate a [[meantone]] or [[superpyth]] 5th, plus an additional one between 15/13 and <math>\sqrt{\frac{4}{3}}</math> where it is ideal for [[The_Archipelago#Barbados|barbados]] subgroup harmonies. |
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| | == Scale properties == |
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| | {{TAMNAMS use}} |
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| | | 240
| | === Intervals === |
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| | {{MOS intervals}} |
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| | === Generator chain === |
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| | {{MOS genchain}} |
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| | | 7/34
| | === Modes === |
| | | 247.059
| | {{MOS mode degrees}} |
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| | | | | == Scale tree == |
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| | {{MOS tuning spectrum}} |
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| | | 6/29
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| | | 248.276
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| |-
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| | | 11/53
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| | | 249.057
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| |-
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| | | 249.7135
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| |-
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| | | 5/24
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| | | 250
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| |-
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| | | 250.6235
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| |-
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| | | 14/67
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| | | 250.746
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| | | 250.865
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| |-
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| | | 9/43
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| | | 251.163
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| | | 13/62
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| | | 251.613
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| |-
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| | | 4/19
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| | | 252.632
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| | | 15/71
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| | | 253.521 | |
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| | | 253.59
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| | | 11/52
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| | | 253.846
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| | | 254.043
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| | | 18/85
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| | | 254.118
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| | | 254.24
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| | | 7/33
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| | | 254.5455
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| | | 17/80
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| | | 255
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| | | 10/47
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| | | 255.319
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| | | 13/61
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| | | 255.738
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| | | 3/14
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| | | 257.143
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| |}
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| [[Category:14-tone scales]] | | [[Category:14-tone scales]] |