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{{Todo|cleanup|inline=1|text=Rewrite intro, add links to temperaments}}{{Infobox MOS}}
{{Infobox MOS}}
{{MOS intro}}
{{MOS intro}}
This MOS, also called the Happy tridecatonic scale, has its first harmonic entropy minimum at 1/14edo-3/40edo, where 3:2 is +8 generators (Octacot). However, the absolute harmonic entropy minimum is Nautilus (3:2=-6 generators), and that is not complete until 14 tones.


==Modes ==
This MOS, also called the '''Happy tridecatonic scale''', has its first [[harmonic entropy]] minimum at 1/[[14edo]]-3/[[40edo]], where 3:2 is +8 [[generator]]s (giving [[Octacot]]). However, the absolute harmonic entropy minimum is [[Nautilus]] ({{nowrap|3:2 ← −6 generators}}), and that is not complete until 14 tones.
{{MOS modes}}
 
== Scale properties ==
{{TAMNAMS use}}
 
=== Intervals ===
{{MOS intervals}}
 
=== Generator chain ===
{{MOS genchain}}
 
=== Modes ===
{{MOS mode degrees}}
 
== Scale tree ==
{{MOS tuning spectrum
| 10/7 = [[Slithy]]
| 13/8 = Golden [[octacot]] (88.118¢)
| 12/5 = [[Marvolo]]
| 5/2 = [[Nautilus]]
| 13/5 = Unnamed golden tuning
| 3/1 = [[Nuke]]
| 10/3 = [[Valentine]]
| 9/2 = [[Slurpee]]
| 6/1 = ↓[[Unicorn]]
}}
 
{{Todo|improve synopsis|inline=1|text=Rewrite intro with the same information but worded in a way that’s easier to parse.}}


==Scale tree==
{{Scale tree}}
[[Category:13-tone scales]]
[[Category:13-tone scales]]