9ed5/3: Difference between revisions
Created page with "'''9ED5/3''' is the equal division of the just major sixth into sixteen parts of 98.2621 cents each, corresponding to 12.2122 edo. It is very closely rel..." Tags: Mobile edit Mobile web edit |
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''' | {{Infobox ET}} | ||
'''9ed5/3''' is the [[Ed5/3|equal division of the just major sixth]] into nine parts of 98.2621 [[cent]]s each, corresponding to 12.2122[[edo]]. It is very closely related to the [[Passion family#Passion|passion temperament]]. | |||
== Intervals == | |||
{| class="wikitable right-2 center-3" | |||
|+ | |||
! Degrees | |||
! Cents | |||
! 5/3.4/3.7/3 interpretation | |||
|- | |||
| 1 | |||
| 98.2621 | |||
| [[16/15]], [[21/20]] | |||
|- | |||
| 2 | |||
| 196.5242 | |||
| [[28/25]] | |||
|- | |||
| 3 | |||
| 294.7862 | |||
| [[25/21]] | |||
|- | |||
| 4 | |||
| 393.0483 | |||
| [[5/4]] | |||
|- | |||
| 5 | |||
| 491.3104 | |||
| [[4/3]] | |||
|- | |||
| 6 | |||
| 589.5725 | |||
| [[7/5]] | |||
|- | |||
| 7 | |||
| 687.8346 | |||
| [[112/75]] | |||
|- | |||
| 8 | |||
| 786.0966 | |||
| [[25/16]], [[80/63]] | |||
|- | |||
| '''9''' | |||
| '''884.3587''' | |||
| '''[[5/3]] (just)''' | |||
|- | |||
| 10 | |||
| 982.6208 | |||
| [[7/4]], [[16/9]] | |||
|- | |||
| 11 | |||
| 1080.8829 | |||
| [[28/15]] | |||
|- | |||
| 12 | |||
| 1179.1450 | |||
| [[49/25]] | |||
|- | |||
| 13 | |||
| 1277.4070 | |||
| [[25/12]] | |||
|- | |||
| 14 | |||
| 1375.6691 | |||
| [[20/9]] | |||
|- | |||
| 15 | |||
| 1473.9312 | |||
| [[7/3]] | |||
|} | |||
The interval interpretations listed belong to the generator chain of [[septimal passion]] without octaves. | |||
== Harmonics == | |||
{{Harmonics in equal|9|5|3}} | |||
{{Harmonics in equal|9|5|3|collapsed=1|start=12}} | |||
== See also == | |||
* [[Alpha, beta, and gamma family of equal divisions]] | |||
[[Category:Nonoctave]] | [[Category:Nonoctave]] | ||