Lesser tendoneutralisma: Difference between revisions

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m note a 3rd mapping of 3
m Text replacement - "{{Mapping|legend=2| " to "{{Mapping|legend=3| "
 
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| Ratio = 70368744177664/69894255367443
| Ratio = 70368744177664/69894255367443
| Name = lesser tendoneutralisma
| Name = lesser tendoneutralisma
| Color name = Sasa-quadtrithu comma
| Comma = yes
| Comma = yes
}}
}}
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== Temperaments ==
== Temperaments ==
=== Lesser Tendoneutralic ===
=== Lesser Tendoneutralic ===
{{ See also | Restles }}
Tempering the lesser tendoneutralisma in 2.3.13 leads to the highly notable 10 & 77 temperament, where [[10edo]] is the trivial tuning approximately equal to the pure-13's tuning and [[77edo]] can be used to approximate the pure-3's tuning, although [[67edo]] is an interesting choice for combining this temperament with meantone and perhaps more notably [[87edo]] is a very good choice for combining this temperament with [[parapyth]] and [[13-limit]] harmony generally (although it doesn't appear in the optimal ET sequence).
Tempering the lesser tendoneutralisma in 2.3.13 leads to the highly notable 10 & 77 temperament, where [[10edo]] is the trivial tuning approximately equal to the pure-13's tuning and [[77edo]] can be used to approximate the pure-3's tuning, although [[67edo]] is an interesting choice for combining this temperament with meantone and perhaps more notably [[87edo]] is a very good choice for combining this temperament with [[parapyth]] and [[13-limit]] harmony generally (although it doesn't appear in the optimal ET sequence).


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[[Comma list]]: {{monzo| 46 -1 (0 0 0) -12 }}
[[Comma list]]: {{monzo| 46 -1 (0 0 0) -12 }}


{{Mapping|legend=2| 1 10 3 | 0 -12 1 }}
{{Mapping|legend=3| 1 10 3 | 0 -12 1 }}
: sval mapping generators: 2, ~13
: sval mapping generators: 2, ~13


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{{Optimal ET sequence|legend=1| 10, 47, 57, 67, 77, 164, 241, 405, 646f }}
{{Optimal ET sequence|legend=1| 10, 47, 57, 67, 77, 164, 241, 405, 646f }}


[[Badness]] (Dirichlet): 3.930
[[Badness]] (Sintel): 3.930


== See also ==
== See also ==
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* [[512/507]]
* [[512/507]]
* [[Tridecapyth comma]]
* [[Tridecapyth comma]]
[[Category:Commas with unknown etymology]]