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 | ||
| | |196.5241 | ||
196.5241 | |[[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 | ||
| | |687.83455 | ||
687.83455 | |[[112/75]] | ||
| | |||
|- | |- | ||
|8 | |8 | ||
| | |786.0966 | ||
786.0966 | |[[25/16]], [[80/63]] | ||
| | |||
|- | |- | ||
|9 | |'''9''' | ||
| | |'''884.3587''' | ||
884.3587 | |'''[[5/3]] (just)''' | ||
| | |||
|- | |- | ||
|10 | |10 | ||
| | |982.6207 | ||
982.6207 | |[[7/4]], [[16/9]] | ||
| | |||
|- | |- | ||
|11 | |11 | ||
| | |1080.8828 | ||
1080.8828 | |[[28/15]] | ||
| | |||
|- | |- | ||
|12 | |12 | ||
| | |1179.14495 | ||
1179.14495 | |[[49/25]] | ||
| | |||
|- | |- | ||
|13 | |13 | ||
| | |1277.407 | ||
1277.407 | |[[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}} | |||
{{todo|inline=1|improve synopsis|expand}} | |||
[[Category:Nonoctave]] | [[Category:Nonoctave]] | ||