4L 6s (5/1-equivalent): Difference between revisions

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== Scale properties ==

=== Intervals ===

=== Generator chain ===

=== Modes ===

== Theory ==

The primary temperament interpretation of this scale is as the decatonic scale of the ~~no-twos-or-threes (~~5.7.11) temperament [[juggernaut]], in which the generator is [[7/5]] and the half-pentave period is [[11/5]]. This is a very good and low-badness temperament on the 5.7.11 subgroup, although it suffers from a somewhat high error because of the smeary 11/5 at 1393 ~~cents~~. It can be viewed as a ~~"juggernaut~~ diatonic" since ~~the~~ basic tuning of [[14ed5]] is the ~~simplest acceptable juggernaut tuning, analogous to~~ [[~~12edo~~]].

The primary no-twos-or-threes temperament interpretation of this scale is as the decatonic scale of the 5.7.11 temperament [[juggernaut]], in which the generator is [[7/5]] and the half-pentave period is [[11/5]]. This is a very good and low-badness temperament on the 5.7.11 subgroup, although it suffers from a somewhat high error because of the smeary 11/5 at 1393{{c}}. This MOS can be viewed as a pentave analog of [[5L 2s|diatonic]] or [[4L 5s (3/1-equivalent)|Lambda]], since its basic tuning of [[14ed5]] is the smallest [[ed5]] that can seriously claim to represent no-twos-or-threes harmony.

== Scale tree ==

{{MOS tuning spectrum

| 9/7 = Optimal tridecimal juggernaut

| 11/7 = Optimal juggernaut, bright generator is near-7/5

| 5/2 = Dark generator is near-11/7

}}

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 {{Infobox MOS}}
 {{MOS intro}}
+== Scale properties ==
+{{TAMNAMS use}}
+=== Intervals ===
+{{MOS intervals}}
+=== Generator chain ===
+{{MOS genchain}}
+=== Modes ===
+{{MOS mode degrees}}
 == Theory ==
-The primary temperament interpretation of this scale is as the decatonic scale of the no-twos-or-threes (5.7.11) temperament [[juggernaut]], in which the generator is [[7/5]] and the half-pentave period is [[11/5]]. This is a very good and low-badness temperament on the 5.7.11 subgroup, although it suffers from a somewhat high error because of the smeary 11/5 at 1393 cents. It can be viewed as a "juggernaut diatonic" since the basic tuning of [[14ed5]] is the simplest acceptable juggernaut tuning, analogous to [[12edo]].
+The primary no-twos-or-threes temperament interpretation of this scale is as the decatonic scale of the 5.7.11 temperament [[juggernaut]], in which the generator is [[7/5]] and the half-pentave period is [[11/5]]. This is a very good and low-badness temperament on the 5.7.11 subgroup, although it suffers from a somewhat high error because of the smeary 11/5 at 1393{{c}}. This MOS can be viewed as a pentave analog of [[5L 2s|diatonic]] or [[4L 5s (3/1-equivalent)|Lambda]], since its basic tuning of [[14ed5]] is the smallest [[ed5]] that can seriously claim to represent no-twos-or-threes harmony.
+== Scale tree ==
+{{MOS tuning spectrum
+| 9/7 = Optimal tridecimal juggernaut
+| 11/7 = Optimal juggernaut, bright generator is near-7/5
+| 5/2 = Dark generator is near-11/7
+}}