190edo: Difference between revisions
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'''190edo''' divides the octave into 190 equal parts of size 6.316 | The '''190 equal divisions of the octave''' ('''190edo''') or '''190(-tone) equal temperament''' ('''190tet''', '''190et''') when view from a [[regular temperament]] perspective, divides the [[octave]] into 190 equal parts of size 6.316 [[cent]]s each. | ||
== Theory == | |||
190edo is interesting because of the utility of its approximations; it tempers out [[1029/1024]], [[4375/4374]], [[385/384]], [[441/440]], [[3025/3024]] and [[9801/9800]]. It provides the [[optimal patent val]] for both the 7- and 11-limit versions of [[unidec]], the 72 & 118 temperament, which tempers out 1029/1024, 4375/4374, and in the 11-limit, 385/384 and 441/440. It also provides the optimal patent val for the rank-3 11-limit temperament [[portent]], which tempers out 385/384 and 441/440, and [[gamelan]], the rank-3 7-limit temperament which tempers out 1029/1024, as well as [[slendric]], the 2.3.7 subgroup temperament featured in the [[#Music]] section. In the 13-limit, 190et tempers out [[847/845]], [[625/624]], [[729/728]], [[1575/1573]] and [[1001/1000]], and provides the optimal patent val for the [[ekadash]] temperament and the rank-3 [[portentous]] temperament. | |||
=== Prime harmonics === | |||
{{Primes in edo|190}} | |||
== Music == | == Music == | ||
* [http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3 The 11th Slendric Fanfare] | * [http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3 The 11th Slendric Fanfare] | ||
* [http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3 16 Slendric Virgins] by [[ | * [http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3 16 Slendric Virgins] by [[Chris Vaisvil]] | ||
[[Category:Equal divisions of the octave]] | |||
[[Category:Unidec]] | |||
[[Category:Ekadash]] | |||
[[Category:Gamelan]] | |||
[[Category:Portent]] | |||
[[Category:Portentous]] | |||
Revision as of 12:24, 11 November 2021
The 190 equal divisions of the octave (190edo) or 190(-tone) equal temperament (190tet, 190et) when view from a regular temperament perspective, divides the octave into 190 equal parts of size 6.316 cents each.
Theory
190edo is interesting because of the utility of its approximations; it tempers out 1029/1024, 4375/4374, 385/384, 441/440, 3025/3024 and 9801/9800. It provides the optimal patent val for both the 7- and 11-limit versions of unidec, the 72 & 118 temperament, which tempers out 1029/1024, 4375/4374, and in the 11-limit, 385/384 and 441/440. It also provides the optimal patent val for the rank-3 11-limit temperament portent, which tempers out 385/384 and 441/440, and gamelan, the rank-3 7-limit temperament which tempers out 1029/1024, as well as slendric, the 2.3.7 subgroup temperament featured in the #Music section. In the 13-limit, 190et tempers out 847/845, 625/624, 729/728, 1575/1573 and 1001/1000, and provides the optimal patent val for the ekadash temperament and the rank-3 portentous temperament.
Prime harmonics
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