125edo: Difference between revisions
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The ''125 equal temperament'' divides the octave into 125 equal parts of exactly 9.6 cents each. It defines the [[Optimal_patent_val|optimal patent val]] for 7- and 11-limit [[Marvel_temperaments|slender temperament]]. It tempers out 15625/15552 in the 5-limit; 225/224 and 4375/4374 in the 7-limit; 385/384 in the 11-limit; and 275/273 in the 13-limit. | The ''125 equal temperament'' divides the octave into 125 equal parts of exactly 9.6 cents each. It defines the [[Optimal_patent_val|optimal patent val]] for 7- and 11-limit [[Marvel_temperaments|slender temperament]]. It tempers out 15625/15552 in the 5-limit; 225/224 and 4375/4374 in the 7-limit; 385/384 in the 11-limit; and 275/273 in the 13-limit. Being the cube closest to division of the octave by the Germanic [https://en.wikipedia.org/wiki/Long_hundred long hundred], it has a unit step which is the cubic (fine) relative cent of [[1edo]]. | ||
[[Category:edo]] | [[Category:edo]] | ||
[[Category:theory]] | [[Category:theory]] | ||
Revision as of 01:49, 13 February 2019
The 125 equal temperament divides the octave into 125 equal parts of exactly 9.6 cents each. It defines the optimal patent val for 7- and 11-limit slender temperament. It tempers out 15625/15552 in the 5-limit; 225/224 and 4375/4374 in the 7-limit; 385/384 in the 11-limit; and 275/273 in the 13-limit. Being the cube closest to division of the octave by the Germanic long hundred, it has a unit step which is the cubic (fine) relative cent of 1edo.