5L 9s: Difference between revisions

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The associated fifth ranges from 8\[[14edo|14]] to 3\[[5edo|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.

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.

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 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.

== ~~Modes~~ ==

== Scale properties ==

== Intervals ==

=== Intervals ===

=== Generator chain ===

=== Modes ===

== Scale tree ==

[[Category:14-tone scales]]

@@ Line 12: / Line 12: @@
 The associated fifth ranges from 8\[[14edo|14]] to 3\[[5edo|5]], thus guaranteeing a [[diatonic fifth]].
-/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.
+/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.
-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 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.
-== Modes ==
+== Scale properties ==
-{{MOS modes}}
+{{TAMNAMS use}}
-== Intervals ==
+=== Intervals ===
 {{MOS intervals}}
+=== Generator chain ===
+{{MOS genchain}}
+=== Modes ===
+{{MOS mode degrees}}
 == Scale tree ==
-{{Scale tree}}
+{{MOS tuning spectrum}}
 [[Category:14-tone scales]]