Temperament orphanage: Difference between revisions

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{{Val list|legend=1| 32, 43, 75, 118, 429, 547, 665, 783, 901, 1684 }}
{{Val list|legend=1| 32, 43, 75, 118, 429, 547, 665, 783, 901, 1684 }}


== Nulltone (2 & 4p) ==
== Antitonic (2 & 4p) ==
This temperament is characterized by tempering out [[9/8]], and has been termed a "troll temperament".  It is named not only on account of 9/8 being tempered out, but also on account of being supported by EDOs that many people consider unusable- ostensibly due to them not having any good musical tone to work with.  Surprisingly, it has extensions all the way up to the 11-limit, as confirmed by the data from [http://x31eq.com/cgi-bin/rt.cgi?limit=11&ets=2_4p&tuning=po x31eq].  The original 5-limit is basically the 3-limit music of [[2edo]] with the addition of harmonic 5 represented by an independent generator.  
This temperament is characterized by tempering out [[9/8]], and has been termed a "troll temperament".  It is named on account of 4/3 and 3/2 both being represented by the 600 cent half octave, which serves as an Antitonic.  Surprisingly, it has extensions all the way up to the 11-limit, as confirmed by the data from [http://x31eq.com/cgi-bin/rt.cgi?limit=11&ets=2_4p&tuning=po x31eq].  The original 5-limit is basically the 3-limit music of [[2edo]] with the addition of harmonic 5 represented by an independent generator.  


Comma list: 9/8
Comma list: 9/8