2100edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
The '''2100 equal division''' divides the octave into 2100 parts of precisely 4/7 cents (0.5714 cents) each. The patent val tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, and thereby provides an excellent tuning for 5-limit schismatic aka [[Schismatic_family|helmholtz]] temperament, and the 7-limit [[Schismatic_family#Sesquiquartififths|sesquiquartififths temperament]]. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but <2100 3319 4876 5890| is notable for being nearly identical to [[Quarter-comma_meantone|quarter-comma meantone]].
{{EDO intro|2100}}


[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
The [[patent val]] [[Tempering out|tempers out]] [[32805/32768]] in the 5-limit and [[2401/2400]] in the 7-limit, and thereby provides an excellent tuning for 5-limit schismatic aka [[Schismatic family|helmholtz]] temperament, and the 7-limit [[sesquiquartififths]] temperament. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but {{val| 2100 3319 4876 5890 }} is notable for being nearly identical to [[quarter-comma meantone]].