9ed5/3: Difference between revisions

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'''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]].
'''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==
{{todo|inline=1|complete section|clarify|Explain what this table is used for.}}
{| class="wikitable"
{| class="wikitable"
|+
|+
!Degrees
!Degrees
!15ed(11φ+5\9φ+4)~9ed(5/3)
!15ed(11φ+5\9φ+4)
!9ed(5/3)
|-
|-
|1
|1
|98.25665
|98.25665
98.2621
|98.2621
|-
|-
|2
|2
|196.5133
|196.5133
196.5241
|196.5241
|-
|-
|3
|3
|294.7699
|294.7699
294.7862
|294.7862
|-
|-
|4
|4
|393.0266
|393.0266
393.0483
|393.0483
|-
|-
|5
|5
|491.2832
|491.2832
491.3104
|491.3104
|-
|-
|6
|6
|589.5399
|589.5399
589.5725
|589.5725
|-
|-
|7
|7
|687.7965
|687.7965
687.83455
|687.83455
|-
|-
|8
|8
|786.0532
|786.0532
786.0966
|786.0966
|-
|-
|9
|9
|884.3098
|884.3098
884.3587
|884.3587
|-
|-
|10
|10
|982.56645
|982.56645
982.6207
|982.6207
|-
|-
|11
|11
|1080.8231
|1080.8231
1080.8828
|1080.8828
|-
|-
|12
|12
|1179.07976
|1179.07976
1179.14495
|1179.14495
|-
|-
|13
|13
|1277.3364
|1277.3364
1277.407
|1277.407
|-
|-
|14
|14
|1375.593
|1375.593
1375.6691
|1375.6691
|-
|-
|15
|15
|1473.8497
|1473.8497
1473.9312
|1473.9312
|}
|}


{{todo|inline=1|improve synopsis|expand}}
[[Category:Nonoctave]]
[[Category:Nonoctave]]

Revision as of 22:24, 21 December 2024

← 8ed5/3 9ed5/3 10ed5/3 →
Prime factorization 32
Step size 98.2621 ¢ 
Octave 12\9ed5/3 (1179.14 ¢) (→ 4\3ed5/3)
Twelfth 19\9ed5/3 (1866.98 ¢)
Consistency limit 5
Distinct consistency limit 5

9ed5/3 is the equal division of the just major sixth into nine parts of 98.2621 cents each, corresponding to 12.2122edo. It is very closely related to the passion temperament.

Intervals

Todo: complete section , clarify, Explain what this table is used for.
Degrees 15ed(11φ+5\9φ+4) 9ed(5/3)
1 98.25665 98.2621
2 196.5133 196.5241
3 294.7699 294.7862
4 393.0266 393.0483
5 491.2832 491.3104
6 589.5399 589.5725
7 687.7965 687.83455
8 786.0532 786.0966
9 884.3098 884.3587
10 982.56645 982.6207
11 1080.8231 1080.8828
12 1179.07976 1179.14495
13 1277.3364 1277.407
14 1375.593 1375.6691
15 1473.8497 1473.9312


Todo: improve synopsis , expand