190edo: Difference between revisions
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''190edo'' divides the octave into 190 equal parts of size 6.316 cents each. It 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 [[ | '''190edo''' divides the octave into 190 equal parts of size 6.316 cents each. It 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 [[Gamelismic_clan#Unidec|unidec]], the 118&190 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 three 11-limit temperament [[Gamelismic_family#Portent|portent]], which tempers out 385/384 and 441/440, and [[Gamelismic_family#Gamelan|gamelan]], the rank three 7-limit temperament which tempers out 1029/1024, as well as [[Chromatic_pairs#Slendric|slendric]], the 2.3.7 subgroup temperament featured below. 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 [[Gamelismic_clan#Unidec|ekadash temperament]] and the rank three [[Gamelismic_family#Portent|portentous temperament]]. | ||
==Music== | == Music == | ||
[http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3 16 Slendric Virgins] | * [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 [[Chris_Vaisvil|Chris Vaisvil]] | |||
[[Category:ekadash]] | |||
[[Category:gamelan]] | [[Category:gamelan]] | ||
[[Category:gamelismic]] | [[Category:gamelismic]] | ||
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[[Category:portentous]] | [[Category:portentous]] | ||
[[Category:unidec]] | [[Category:unidec]] | ||
{{todo| cleanup | improve linking }} | |||
Revision as of 16:58, 18 November 2020
190edo divides the octave into 190 equal parts of size 6.316 cents each. It 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 118&190 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 three 11-limit temperament portent, which tempers out 385/384 and 441/440, and gamelan, the rank three 7-limit temperament which tempers out 1029/1024, as well as slendric, the 2.3.7 subgroup temperament featured below. 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 ekadash temperament and the rank three portentous temperament.