97edo: Difference between revisions

Music: Add Bryan Deister's ''Washing Machine Heart - Mitski (microtonal cover in 97edo)'' (2025)
41 & 56 has a name now
 
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== Theory ==
== Theory ==
97edo is only [[consistent]] to the [[5-odd-limit]]. The [[patent val]] of 97edo [[tempering out|tempers out]] [[875/864]], [[1029/1024]], and [[4000/3969]] in the 7-limit, [[100/99]], [[245/242]], [[385/384]] and [[441/440]] in the 11-limit, and [[196/195]], [[352/351]] and [[676/675]] in the 13-limit. It provides the [[optimal patent val]] for the 13-limit {{nowrap|41 & 97}} temperament tempering out 100/99, 196/195, 245/242 and 385/384.  
97edo is only [[consistent]] to the [[5-odd-limit]]. The [[patent val]] of 97edo [[tempering out|tempers out]] [[875/864]], [[1029/1024]], and [[4000/3969]] in the 7-limit, [[100/99]], [[245/242]], [[385/384]] and [[441/440]] in the 11-limit, and [[196/195]], [[352/351]] and [[676/675]] in the 13-limit. It provides the [[optimal patent val]] for the 13-limit [[superana]] ({{nowrap| 41 & 56 }}) temperament, which tempers out 100/99, 196/195, 245/242 and 385/384.  


=== Odd harmonics ===
=== Odd harmonics ===