2100edo: Difference between revisions
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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 | 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]]. | ||
Revision as of 17:56, 25 January 2022
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 helmholtz temperament, and the 7-limit sesquiquartififths temperament. As with any equal division of this size, it supports a number of possible meantone tunings, but <2100 3319 4876 5890| is notable for being nearly identical to quarter-comma meantone.