9ed5/3: Difference between revisions

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'''9ED5/3''' is the [[EdVI|equal division of the just major sixth]] into sixteen parts of 98.2621 [[cent|cents]] each, corresponding to 12.2122 [[edo]]. It is very closely related to the [[Archytas clan|passion temperament]].
'''9ED5/3''' is the [[EdVI|equal division of the just major sixth]] into sixteen parts of 98.2621 [[cent|cents]] each, corresponding to 12.2122 [[edo]]. It is very closely related to the [[Archytas clan|passion temperament]] and a golden tuning of [[15edX]].


{| class="wikitable"
|+
!Degrees
!15ed(11φ+5\9φ+4)
!9ed(5/3)
!18/17et
|-
|1
|98.257
|98.262
|98.955
|-
|2
|196.512
|196.524
|197.909
|-
|3
|294.77
|294.786
|296.864
|-
|4
|393.0265
|393.048
|395.818
|-
|5
|491.283
|491.31
|494.773
|-
|6
|589.54
|589.5725
|893.728
|-
|7
|687.7965
|687.835
|692.682
|-
|8
|786.053
|786.097
|791.637
|-
|9
|884.31
|884.359
|890.591
|-
|10
|982.5665
|982.621
|989.546
|-
|11
|1080.832
|1080.883
|1088.5005
|-
|12
|1179.08
|1179.145
|1187.455
|-
|13
|1277.336
|1277.407
|1286.41
|-
|14
|1375.593
|1375.669
|1385.364
|-
|15
|1473.85
|1473.931
|1484.319
|}
[[Category:EdVI]]
[[Category:EdVI]]
[[Category:Nonoctave]]
[[Category:Nonoctave]]

Revision as of 19:44, 3 June 2019

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 related to the passion temperament and a golden tuning of 15edX.

Degrees 15ed(11φ+5\9φ+4) 9ed(5/3) 18/17et
1 98.257 98.262 98.955
2 196.512 196.524 197.909
3 294.77 294.786 296.864
4 393.0265 393.048 395.818
5 491.283 491.31 494.773
6 589.54 589.5725 893.728
7 687.7965 687.835 692.682
8 786.053 786.097 791.637
9 884.31 884.359 890.591
10 982.5665 982.621 989.546
11 1080.832 1080.883 1088.5005
12 1179.08 1179.145 1187.455
13 1277.336 1277.407 1286.41
14 1375.593 1375.669 1385.364
15 1473.85 1473.931 1484.319