Greater tendoneutralisma: Difference between revisions

Godtone (talk | contribs)
m pls keep these. these are related as they are different ways of achieving prime 3 by stacking prime 13; keeping them only in the exposition makes them a lot less visible and harder to find if one is looking for them; also "lesser tendoneutralisma" is especially important as being related naming-wise to this comma
Lériendil (talk | contribs)
mNo edit summary
 
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| Ratio = 815730721/805306368
| Ratio = 815730721/805306368
| Name = greater tendoneutralisma
| Name = greater tendoneutralisma
| Color name = Laquadbitho comma
| Comma = yes
| Comma = yes
}}
}}
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=== Greater Tendoneutralic ===
=== Greater Tendoneutralic ===
Tempering out the greater tendoneutralisma in 2.3.13 leads to the highly notable 10 & 53 temperament, where [[10edo]] is the trivial tuning approximately equal to the pure-13's tuning and [[53edo]] is the tuning practically equal to the pure-3's tuning, although [[43edo]] is an interesting choice for combining this temperament with meantone and [[63edo]] is an interesting choice if you prefer slightly sharp fifths. This temperament is related to [[submajor (temperament)|submajor]], which extends it to the full [[13-limit]].
Tempering out the greater tendoneutralisma in 2.3.13 leads to the highly notable 10 & 53 temperament, where [[10edo]] is the trivial tuning approximately equal to the pure-13's tuning and [[53edo]] is the tuning practically equal to the pure-3's tuning, although [[43edo]] is an interesting choice for combining this temperament with meantone and [[63edo]] is an interesting choice if you prefer slightly sharp fifths. [[Buzzardsmic clan #Demibuzzard|Demibuzzard]] is an extension of this which maps primes 5 and 7; [[Submajor (temperament)|submajor]] and [[interpental]] map prime 11 and thus the full [[13-limit]].


[[Subgroup]]: 2.3.13
[[Subgroup]]: 2.3.13
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{{Optimal ET sequence|legend=1| 10, 33, 43, 53, 202, 255f, 308f, 361f }}
{{Optimal ET sequence|legend=1| 10, 33, 43, 53, 202, 255f, 308f, 361f }}


[[Badness]] (Dirichlet): 3.037
[[Badness]] (Sintel): 3.037


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