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| This MOS, with a period running L 2s L 2s L 2s L 2s L s, has a generator between 1/5edo (240 cents) and 3/14edo (257.143). 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.
| | {{Infobox MOS |
| | | Periods = 1 |
| | | nLargeSteps = 5 |
| | | nSmallSteps = 9 |
| | | Equalized = 11 |
| | | Collapsed = 4 |
| | | Pattern = LsLssLssLssLss |
| | | Neutralized = 2L 6s |
| | }} |
| | {{MOS intro}} |
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| {| class="wikitable"
| | The associated fifth ranges from 8\[[14edo|14]] to 3\[[5edo|5]], thus guaranteeing a [[diatonic fifth]]. |
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| | | 1/5 | | 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 == |
| | | 240
| | {{TAMNAMS use}} |
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| | === Intervals === |
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| | {{MOS intervals}} |
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| | |
| | === Generator chain === |
| | | 7/34
| | {{MOS genchain}} |
| | | 247.059
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| |-
| | === Modes === |
| | |
| | {{MOS mode degrees}} |
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| | == Scale tree == |
| | | 6/29
| | {{MOS tuning spectrum}} |
| | |
| | |
| | | 248.276
| | [[Category:14-tone scales]] |
| |-
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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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| |-
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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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| |-
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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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| |- | |
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| | | 15/71
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| | | 253.521
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| |-
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| | | 253.59
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| |-
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| | | 11/52
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| | | 253.846
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| |-
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| | | 254.043
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| |-
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| | | 18/85
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| | | 254.118
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| |-
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| | | 254.24
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| |-
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| | | 7/33
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| | | 254.5455
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| |-
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| | | 17/80
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| | | 255
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| |-
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| | | 10/47
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| | | 255.319
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| |-
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| | | 13/61
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| | | 255.738
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| |-
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| | | 3/14
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| | | 257.143
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| |}
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