197edo: Difference between revisions
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<ul><li>[[prismarv|prismarv]]</li><li>[[marveldene|marveldene]]</li><li>[[pump12_1|pump12_1]]</li></ul>[http://micro.soonlabel.com/pump_tunings/pump1/daily20111029-a-pump1-woodwinds-no-verb.mp3 Pump1 by Chris Vaisvil] | <ul><li>[[prismarv|prismarv]]</li><li>[[marveldene|marveldene]]</li><li>[[pump12_1|pump12_1]]</li></ul>[http://micro.soonlabel.com/pump_tunings/pump1/daily20111029-a-pump1-woodwinds-no-verb.mp3 Pump1 by Chris Vaisvil] | ||
<ul><li>[[pump12_1|pump12_1]]</li><li>[[pump13|pump13]]</li><li>[[pump14|pump14]]</li><li>[[pump15|pump15]]</li><li>[[pump16|pump16]]</li><li>[[pump17|pump17]]</li><li>[[pump18|pump18]]</li></ul> | <ul><li>[[pump12_1|pump12_1]]</li><li>[[pump13|pump13]]</li><li>[[pump14|pump14]]</li><li>[[pump15|pump15]]</li><li>[[pump16|pump16]]</li><li>[[pump17|pump17]]</li><li>[[pump18|pump18]]</li></ul> | ||
[[Category: | |||
[[Category: | [[Category:197edo| ]] <!-- main article --> | ||
[[Category: | [[Category:Catakleismic]] | ||
[[Category: | [[Category:Edo]] | ||
[[Category:Marvel]] | |||
[[Category:Prime EDO]] | |||
[[Category:todo:add_definition]] | [[Category:todo:add_definition]] | ||
Revision as of 10:18, 2 November 2018
The 197 equal division gives excellent results for tuning both marvel, the planar temperament tempering out 225/224, and catakleismic, the temperament tempering out both 225/224 and 4375/4374, which has wedgie <<6 5 22 -6 18 37||. Among patent vals, in fact, it gives the best results for both. In fact, the 11-limit patent val <197 312 457 553 682| has a comma basis [225/224, 4375/4374, 441/440, 65536/65219], so taking 225/224 and 441/440 together (prodigy temperament) also works well with 197edo, and taking 225/224, 441/440, and 4375/4374 (an alternative 11-limit catakleismic) is once again excellently tuned by 197edo.
If we use 197e, the <197 312 457 553 681| val, we can also use 197edo as an excellent tuning for the 11-limit version of marvel temperament, tempering out 385/384 as well as 225/224. If we add 4375/4374 to the comma list for 11-limit marvel, we get 11-limit catakleismic, and 197edo with the above val is also an excellent tuning for that.
197edo is the 45th prime edo.