Lesser tendoneutralisma: Difference between revisions

Godtone (talk | contribs)
m note a 3rd mapping of 3
m Text replacement - "Badness (Dirichlet): " to "Badness (Sintel): "
 
(4 intermediate revisions by 3 users not shown)
Line 2: Line 2:
| Ratio = 70368744177664/69894255367443
| Ratio = 70368744177664/69894255367443
| Name = lesser tendoneutralisma
| Name = lesser tendoneutralisma
| Color name = Sasa-quadtrithu comma
| Comma = yes
| Comma = yes
}}
}}
Line 8: Line 9:
== 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).


Line 21: Line 23:
{{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 ==
Line 27: Line 29:
* [[512/507]]
* [[512/507]]
* [[Tridecapyth comma]]
* [[Tridecapyth comma]]
[[Category:Commas with unknown etymology]]