Dirt: Difference between revisions

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'''Dirt''' is the [[temperament]] which tempers out the [[dirt comma]], 1342177280/1162261467, in the [[5-limit]]. The optimal pure-octave tuning of this temperament has a very sharp [[~]][[3/2]] generator at about 715 cents and a somewhat sharp ~[[5/4]] at about 391 cents which is 19 generators up. [[5edo]] appears to have the [[optimal patent val]] for this temperament.

'''Dirt''' is the [[temperament]] which tempers out the [[dirt comma]], 1342177280/1162261467, in the [[5-limit]]. The optimal pure-octave tuning of this temperament has a very sharp [[~]][[3/2]] generator at about 715 cents and a somewhat sharp ~[[5/4]] at about 391 cents which is 19 generators up. The source of the temperament's name is unknown. [[5edo]] appears to have the [[optimal patent val]] for this temperament.

This temperament could serve as a full [[7-limit]] extension to [[archy]] near 1/2-comma superpyth, where even [[ultrapyth]] maps 5/4 too sharp (to 418.2 [[cent]]s). By this point, the error on the perfect fifth may become a serious issue, so most people who use archy use a flatter fifth that works for 7-limit [[superpyth]] instead.

See [[Syntonic–diatonic equivalence continuum #Dirt]] for technical data.

~~{{Todo|inline=1|expand}}~~

[[Category:Dirt| ]]

[[Category:Rank-2 temperaments]]

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-'''Dirt''' is the [[temperament]] which tempers out the [[dirt comma]], 1342177280/1162261467, in the [[5-limit]]. The optimal pure-octave tuning of this temperament has a very sharp [[~]][[3/2]] generator at about 715 cents and a somewhat sharp ~[[5/4]] at about 391 cents which is 19 generators up. [[5edo]] appears to have the [[optimal patent val]] for this temperament.
+'''Dirt''' is the [[temperament]] which tempers out the [[dirt comma]], 1342177280/1162261467, in the [[5-limit]]. The optimal pure-octave tuning of this temperament has a very sharp [[~]][[3/2]] generator at about 715 cents and a somewhat sharp ~[[5/4]] at about 391 cents which is 19 generators up. The source of the temperament's name is unknown. [[5edo]] appears to have the [[optimal patent val]] for this temperament.
+This temperament could serve as a full [[7-limit]] extension to [[archy]] near 1/2-comma superpyth, where even [[ultrapyth]] maps 5/4 too sharp (to 418.2 [[cent]]s). By this point, the error on the perfect fifth may become a serious issue, so most people who use archy use a flatter fifth that works for 7-limit [[superpyth]] instead.
 See [[Syntonic–diatonic equivalence continuum #Dirt]] for technical data.
-{{Todo|inline=1|expand}}
 [[Category:Dirt| ]] <!-- main article -->
 [[Category:Rank-2 temperaments]]