User:Moremajorthanmajor/Well tempered nonet: Difference between revisions

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A '''well tempered nonet''' is a kind of [[nonoctave]] scale created by Joseph Ruhf. They repeat at an interval around the 1300-1500 cent range.
A '''well tempered nonet'''{{idiosyncratic}} is a kind of [[nonoctave]] scale created by [[Joseph Ruhf]]. They optimally repeat at an interval of around 1300-1500 [[cent]]s and their optimal patent tunings target the [[nonet]] of a [[Kartvelian scale]] where a 3/2 is available. They also solve tritone correction parsimoniously by shifting the emphasized degrees of the scale.  
 
As a consequence of their irregularity, it is possible in extreme cases for well temperaments to have classes where they tune each instance of an interval in that class uniquely, as if they were [[Just intonation|just]] scales of the same [[rank]] as their cardinality. For example, one may make a well temperament from a [[EdIX|nonet]] by taking m [[EDF|edf]] alternating with m equal divisions of an (n [[edo]]) interval between 600 and 800 [[Cent (music)|cent]]<nowiki/>s though an interval very close to 600 or 800 cents is going to make a well temperament sounding little like a nonet. Each tone of m edf in such a well temperament will have a unique fifth either above or below it.


== Individual pages for WTNs ==
== Individual pages for WTNs ==
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== See also ==
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* [[Well temperament]] – an overview of (mostly) octave preserving temperaments
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[[Category:Theory]]
[[Category:Terms]]
[[Category:Well temperament]]
[[Category:Well temperament]]
[[Category:Circulating temperament]]
[[Category:Well tempered nonet| ]] <!-- main article -->
[[Category:Nonoctave]]
[[Category:Nonoctave]]
{{todo|clarify|inline=1}}

Latest revision as of 16:07, 31 March 2025

A well tempered nonet[idiosyncratic term] is a kind of nonoctave scale created by Joseph Ruhf. They optimally repeat at an interval of around 1300-1500 cents and their optimal patent tunings target the nonet of a Kartvelian scale where a 3/2 is available. They also solve tritone correction parsimoniously by shifting the emphasized degrees of the scale.

Individual pages for WTNs

See also

Todo: clarify
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