User:Moremajorthanmajor/9edX: Difference between revisions

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|-
|11\9
|11\9
|162.{{Overline|962}}
|162.962
|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.{{Overline|63}}
|163.636
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|5\4
|5\4
| 166.{{Overline|6}}
| 166.667
|Subpental Dorian mode ends, Pental Dorian mode begins
|Subpental Dorian mode ends, Pental Dorian mode begins
|-
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|19\15
|19\15
|168.{{Overline|8}}
|168.889
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|14\11
|14\11
|169.{{Overline|69}}
|169.697
|Pental Dorian mode ends, Superpental Dorian mode begins
|Pental Dorian mode ends, Superpental Dorian mode begins
|-
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|23\18
|23\18
|170.{{Overline|370}}
|170.370
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|31\24
|31\24
|172.{{Overline|2}}
|172.222
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|
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|13\10
|13\10
|173.{{Overline|3}}
|173.333
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
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|29\22
|29\22
|175.{{Overline|75}}
|175.758
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|4\3
|4\3
|177.{{Overline|7}}
|177.778
|Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
|Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
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|43\32
|43\32
|179.1{{Overline|6}}
|179.167
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|15\11
|15\11
|181.{{Overline|81}}
|181.818
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
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| 11\8
| 11\8
|183.{{Overline|3}}
|183.333
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
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|25\18
|25\18
|185.{{Overline|185}}
|185.185
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|7\5
|7\5
|186.{{Overline|6}}
|186.667
|Mixolydian-Ionian mode ends
|Mixolydian-Ionian mode ends
|}Relative cents
{| class="wikitable" style="text-align: center"
!Degrees
!Intense Aeolian-Subpental Dorian
!Dorian
!Dorian-Mixolydian
!Subpental-Soft Superpental Mixolydian
!Intense Superpental Mixolydian ~ Mixolydian-Ionian
|-
|1
|161.{{Overline|1}}
|166.{{Overline|6}}
|172.{{Overline|2}}
|177.{{Overline|7}}
|183.{{Overline|3}}
|-
|2
|322.{{Overline|2}}
|333.{{Overline|3}}
|344.{{Overline|4}}
|355.{{Overline|5}}
|366.{{Overline|6}}
|-
|3
|483.{{Overline|3}}
|500
|516.{{Overline|6}}
|533.{{Overline|3}}
|550
|-
|4
|644.{{Overline|4}}
|666.{{Overline|6}}
|688.{{Overline|8}}
|711.{{Overline|1}}
|733.{{Overline|3}}
|-
|5
|805.{{Overline|5}}
|833.{{Overline|3}}
|861.{{Overline|1}}
|888.{{Overline|8}}
|916.{{Overline|6}}
|-
|6
|966.{{Overline|6}}
| 1000
|1033.{{Overline|3}}
|1066.{{Overline|6}}
|1100
|-
|7
|1127.{{Overline|7}}
|1166.{{Overline|6}}
|1205.{{Overline|5}}
|1244.{{Overline|4}}
|1283.{{Overline|3}}
|-
|8
|1288.{{Overline|8}}
|1333.{{Overline|3}}
|1377.{{Overline|7}}
|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.


Revision as of 23:04, 11 September 2024

This is the neutral scale of the Middletown temperament family. It also gives the period of the 9th-decade White Oak temperament family.

Intervals

Decade Period Notes
6\5 160.000 Intense Aeolian-Subpental Dorian mode begins
17\14 161.905
11\9 162.962 Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
27\22 163.636
16\13 164.103
21\17 164.706
26\21 165.079
5\4 166.667 Subpental Dorian mode ends, Pental Dorian mode begins
34\27 167.901
29\23 168.116
24\19 168.421
19\15 168.889
14\11 169.697 Pental Dorian mode ends, Superpental Dorian mode begins
23\18 170.370
9\7 171.429 Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
31\24 172.222
22\17 172.549 Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins
35\27 172.840
13\10 173.333 Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
17\13 174.358
21\16 175.000 Subpental Mixolydian mode ends, Pental Mixolydian mode begins
25\19 175.439
29\22 175.758
33\25 176.000
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
35\26 179.417
31\23 179.710
27\20 180.000
23\17 180.392
19\14 180.952
15\11 181.818 Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
26\19 182.456
11\8 183.333 Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
18\13 184.615
25\18 185.185
7\5 186.667 Mixolydian-Ionian mode ends

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.

See also

  • 9ed5/2 - equal division of the classic major tenth
  • 9ed7/3 - equal division of the septimal minor tent
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