190edo: Difference between revisions
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=== Prime harmonics === | === Prime harmonics === | ||
{{Primes in edo|190}} | {{Primes in edo|190}} | ||
== Scales == | |||
* [[Slendric5]] | |||
* [[Slendric6]] | |||
* [[Slendric11]] | |||
* [[Slendric16]] | |||
== Music == | == Music == | ||
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* [http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3 16 Slendric Virgins] by [[Chris Vaisvil]] | * [http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3 16 Slendric Virgins] by [[Chris Vaisvil]] | ||
[[Category:190edo| ]] <!-- main article --> | |||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||
[[Category:Unidec]] | [[Category:Unidec]] | ||
Revision as of 12:55, 11 November 2021
| ← 189edo | 190edo | 191edo → |
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 about 6.32 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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