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User:Moremajorthanmajor/9edX: Difference between revisions

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{| class="wikitable"
{| class="wikitable"
|+
|+
! colspan="5" |Decade
!Decade
!Period
!Period
!Notes
!Notes
|-
|-
|6\5
|6\5
|''160.000''
|Intense Aeolian-Subpental Dorian mode begins
|-
|29\24
|''161.111''
|
|
|-
|23\19
|161.404
|
|
|
|
|160
|Intense Aeolian-Subpental Dorian mode begins
|-
|-
|
|17\14
|17\14
|
|
|
|161.905
|161.905
|
|
|-
|-
|11\9
|11\9
|
|162.962
|
|
|
|162.{{Overline|962}}
|Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
|Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
|-
|-
|
|
|27\22
|27\22
|
|163.636
|
|163.{{Overline|63}}
|
|
|-
|-
|
|16\13
|16\13
|
|
|
|164.103
|164.103
|
|
|-
|-
|
|
|21\17
|21\17
|
|
|164.706
|164.706
|
|
|-
|-
|
|
|
|26\21
|26\21
|
|165.079
|165.079
|
|
|-
|-
|5\4
|5\4
|
| ''166.667''
|
|
|
| 166.{{Overline|6}}
|Subpental Dorian mode ends, Pental Dorian mode begins
|Subpental Dorian mode ends, Pental Dorian mode begins
|-
|-
|
|
|
|
|34\27
|34\27
|167.901
|167.901
|
|
|-
|-
|
|
|
|29\23
|29\23
|
|168.116
|168.116
|
|
|-
|-
|
|
|24\19
|24\19
|
|
|168.421
|168.421
|
|
|-
|-
|
|19\15
|19\15
|
|168.889
|
|
|168.{{Overline|8}}
|
|
|-
|-
|14\11
|14\11
|
|169.697
|
|
|
|169.{{Overline|69}}
|Pental Dorian mode ends, Superpental Dorian mode begins
|Pental Dorian mode ends, Superpental Dorian mode begins
|-
|-
|
|23\18
|23\18
|
|170.370
|
|
|170.{{Overline|370}}
|
|
|-
|-
|9\7
|9\7
|
|
|
|
|171.429
|171.429
|Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
|Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
|-
|-
|
|31\24
|31\24
|
|172.222
|
|
|172.{{Overline|2}}
|
|
|-
|-
|22\17
|22\17
|
|
|
|
|172.549
|172.549
|Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins
|Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins
|-
|-
|
|35\27
|35\27
|
|172.840
|
|
|172.8395
|
|
|-
|-
|13\10
|13\10
|
|173.333
|
|
|
|173.{{Overline|3}}
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
|-
|-
|17\13
|17\13
|
|
|
|
|174.358
|174.358
|
|
|-
|-
|21\16
|21\16
|
|175.000
|
|
|
|175
|Subpental Mixolydian mode ends, Pental Mixolydian mode begins
|Subpental Mixolydian mode ends, Pental Mixolydian mode begins
|-
|-
|
|25\19
|25\19
|
|
|
|175.439
|175.439
|
|
|-
|-
|
|
|29\22
|29\22
|
|175.758
|
|175.{{Overline|75}}
|
|
|-
|-
|
|
|
|33\25
|33\25
|
|176.000
|176
|
|
|-
|-
|4\3
|4\3
|''177.778''
|Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
|-
|51\38
|178.947
|
|
|-
|47\35
|179.048
|
|
|-
|43\32
|179.167
|
|
|-
|39\29
|179.310
|
|
|177.{{Overline|7}}
|Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
|-
|-
|35\26
|179.417
|
|
|
|-
|
|
|31\23
|31\23
|179.710
|179.710
|
|
|-
|-
|
|
|
|27\20
|27\20
|
|180.000
|180
|
|
|-
|-
|
|
|23\17
|23\17
|
|
|180.392
|180.392
|
|
|-
|-
|
|19\14
|19\14
|
|
|
|180.952
|180.952
|
|
|-
|-
|15\11
|15\11
|
|181.818
|
|
|
|181.{{Overline|81}}
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
|-
|-
|
|26\19
|26\19
|
|
|
|182.456
|182.456
|
|
|-
|-
| 11\8
| 11\8
|
|''183.333''
|
|
|
|183.{{Overline|3}}
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|-
|-
|
|18\13
|18\13
|
|
|
|184.615
|184.615
|
|
|-
|-
|
|
|25\18
|25\18
|
|185.185
|
|185.{{Overline|185}}
|
|
|-
|-
|7\5
|7\5
|
|186.667
|
|
|
|186.{{Overline|6}}
|Mixolydian-Ionian mode ends
|Mixolydian-Ionian mode ends
|}Relative cents
{| class="wikitable" style="text-align: center"
!Degrees
!Intense Aeolian-Subpental Dorian
!Dorian
!Subpental-Soft Superpental Mixolydian
!Intense Superpental Mixolydian ~ Mixolydian-Ionian
|-
|1
|161.{{Overline|1}}
|166.{{Overline|6}}
|177.{{Overline|7}}
|183.{{Overline|3}}
|-
|2
|322.{{Overline|2}}
|333.{{Overline|3}}
|355.{{Overline|5}}
|366.{{Overline|6}}
|-
|3
|483.{{Overline|3}}
|500
|533.{{Overline|3}}
|550
|-
|4
|644.{{Overline|4}}
|666.{{Overline|6}}
|711.{{Overline|1}}
|733.{{Overline|3}}
|-
|5
|805.{{Overline|5}}
|833.{{Overline|3}}
|888.{{Overline|8}}
|916.{{Overline|6}}
|-
|6
|966.{{Overline|6}}
| 1000
|1066.{{Overline|6}}
|1100
|-
|7
|1127.{{Overline|7}}
|1166.{{Overline|6}}
|1244.{{Overline|4}}
|1283.{{Overline|3}}
|-
|8
|1288.{{Overline|8}}
|1333.{{Overline|3}}
|1422.{{Overline|2}}
|1466.{{Overline|6}}
|}By a surprising coincidence, the 9ed of the Pyrite tenth (7φ+6)\(5φ^2)edo is almost exactly every fifth degree of [[34edo]]. Additionally, those of the Golden Subpental Dorian and Pental and Intense Superpental Mixolydian tenths are almost exactly every third step of [[22edo]], 4edf and equal multiples of 10/9 respectively.
|}By a surprising coincidence, the 9ed of the Pyrite tenth (7φ+6)\(5φ^2)edo is almost exactly every fifth degree of [[34edo]]. Additionally, those of the Golden Subpental Dorian and Pental and Intense Superpental Mixolydian tenths are almost exactly every third step of [[22edo]], 4edf and equal multiples of 10/9 respectively.


Line 347: Line 179:
*[[9ed5/2]] - equal division of the classic major tenth
*[[9ed5/2]] - equal division of the classic major tenth
* [[9ed7/3]] - equal division of the septimal minor tent
* [[9ed7/3]] - equal division of the septimal minor tent
[[Category:EdX]]
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