9ed5/3: Difference between revisions
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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]]. | |||
{| class="wikitable" | == Intervals == | ||
{| class="wikitable right-2 center-3" | |||
|+ | |+ | ||
!Degrees | ! Degrees | ||
! | ! Cents | ||
! 5/3.4/3.7/3 interpretation | |||
|- | |- | ||
|1 | | 1 | ||
| | | 98.2621 | ||
98.2621 | | [[16/15]], [[21/20]] | ||
| | |||
|- | |- | ||
|2 | | 2 | ||
|196. | | 196.5242 | ||
| [[28/25]] | |||
| | |||
|- | |- | ||
|3 | | 3 | ||
| | | 294.7862 | ||
294.7862 | | [[25/21]] | ||
| | |||
|- | |- | ||
|4 | | 4 | ||
| | | 393.0483 | ||
393.0483 | | [[5/4]] | ||
| | |||
|- | |- | ||
|5 | | 5 | ||
| | | 491.3104 | ||
491.3104 | | [[4/3]] | ||
| | |||
|- | |- | ||
|6 | | 6 | ||
| | | 589.5725 | ||
589.5725 | | [[7/5]] | ||
| | |||
|- | |- | ||
|7 | | 7 | ||
|687. | | 687.8346 | ||
| [[112/75]] | |||
| | |||
|- | |- | ||
|8 | | 8 | ||
| | | 786.0966 | ||
786.0966 | | [[25/16]], [[80/63]] | ||
| | |||
|- | |- | ||
|9 | | '''9''' | ||
| | | '''884.3587''' | ||
884.3587 | | '''[[5/3]] (just)''' | ||
| | |||
|- | |- | ||
|10 | | 10 | ||
|982. | | 982.6208 | ||
| [[7/4]], [[16/9]] | |||
| | |||
|- | |- | ||
|11 | | 11 | ||
|1080. | | 1080.8829 | ||
| [[28/15]] | |||
| | |||
|- | |- | ||
|12 | | 12 | ||
|1179. | | 1179.1450 | ||
| [[49/25]] | |||
| | |||
|- | |- | ||
|13 | | 13 | ||
|1277. | | 1277.4070 | ||
| [[25/12]] | |||
| | |||
|- | |- | ||
|14 | | 14 | ||
| | | 1375.6691 | ||
1375.6691 | | [[20/9]] | ||
| | |||
|- | |- | ||
|15 | | 15 | ||
| | | 1473.9312 | ||
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]] | ||