95edo: Difference between revisions

Rework
Theory: it doesn't tempers out 100/99, so no support for octarod. Breed and octagar don't need mentioning as the commas are right above.
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== Theory ==
== Theory ==
95edo is a [[dual-fifth tuning]]. Using the [[patent val]], it [[tempering out|tempers out]] [[245/243]], [[2401/2400]], and [[4000/3969]] in the 7-limit, [[176/175]], 1331/1323, [[4000/3993]] and [[6250/6237]] in the 11-limit, and [[196/195]], [[325/324]], [[364/363]], [[640/637]], [[847/845]], [[1001/1000]] and [[2200/2197]] in the 13-limit.  
95edo is a [[dual-fifth tuning]]. However, the [[patent val]] makes for a reasonable sharp-tending system, and [[tempering out|tempers out]] [[245/243]], [[2401/2400]], and [[4000/3969]] in the 7-limit, [[176/175]], 1331/1323, [[4000/3993]] and [[6250/6237]] in the 11-limit, and [[196/195]], [[325/324]], [[364/363]], [[640/637]], [[847/845]], [[1001/1000]] and [[2200/2197]] in the 13-limit.  


It [[support]]s rank-2 temperaments such as [[enneadecal]], [[magus]], [[gorgik]], [[octacot]], [[quinmite]], [[tetracot]] and [[trisedodge]], and rank-3 temperaments such as [[breed]], [[manwe]], [[octagari]], [[octarod]] and [[shrusus]]. It provides the [[optimal patent val]] for shrusus.  
It [[support]]s rank-2 temperaments such as [[enneadecal]], [[magus]], [[gorgik]], [[octacot]], [[quinmite]], [[tetracot]] and [[trisedodge]], and rank-3 temperaments such as [[manwe]] and [[shrusus]]. It provides the [[optimal patent val]] for shrusus.  


=== Odd harmonics ===
=== Odd harmonics ===
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=== Subsets and supersets ===
=== Subsets and supersets ===
95 factors as 5 × 19, so it contains both [[5edo]] and [[19edo]].  
Since 95 factors as 5 × 19, 95edo contains [[5edo]] and [[19edo]] as its subsets.


== Intervals ==
== Intervals ==