5L 9s: Difference between revisions

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{{Infobox MOS

{{MOS intro}}{{Infobox MOS

| Periods = 1

| nLargeSteps = 5

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| Neutralized = 2L 6s

}}

~~5L 9s is the chromatic scale of the semiquartal MOS.~~

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.

~~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.

{| class="wikitable"

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-{{Infobox MOS
+{{MOS intro}}{{Infobox MOS
 | Periods = 1
 | nLargeSteps = 5
@@ Line 8: / Line 8: @@
 | Neutralized = 2L 6s
 }}
-L 9s is the chromatic scale of the semiquartal MOS.
+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.
-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.
 {| class="wikitable"