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This is the neutral scale of the Middletown temperament family.
This is the neutral scale of the Middletown temperament family. It also gives the period of the 9th-decade White Oak temperament family.
 
==Intervals==
==Intervals==
{| class="wikitable"
{| class="wikitable"
|+
!Decade
!Period
!Notes
|-
|6\5
|''160.000''
|Intense Aeolian-Subpental Dorian mode begins
|-
|29\24
|''161.111''
|
|-
|23\19
|161.404
|
|-
|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
|
|-
|-
! | Degrees
|27\20
! | Minimum
|180.000
! | ed(7/3)
|
! | Mean/Median
! | Golden
! | Maximum
|-
|-
| | 1
|23\17
| | 160
|180.392
| | 162.986
|
| | 173.333
| | 176.481
| | 193.333
|-
|-
| | 2
|19\14
| | 320
|180.952
| | 325.971
|
| | 346.667
| | 352.961
| | 386.667
|-
|-
| | 3
|15\11
| | 480
|181.818
| | 488.957
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
| | 520
| | 529.443
| | 560
|-
|-
| | 4
|26\19
| | 640
|182.456
| | 651.943
|
| | 693.333
| | 705.924
| | 753.333
|-
|-
| | 5
| 11\8
| | 800
|''183.333''
| | 814.928
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
| | 866.667
| | 882.404'5
| | 886.667
|-
|-
| | 6
|18\13
| | 960
|184.615
| | 977.913
|
| | 1040
| | 1058.885
| | 1120
|-
|-
| | 7
|25\18
| | 1120
|185.185
| | 1140.9
|
| | 1213.333
| | 1235.366
| | 1313.333
|-
|-
| | 8
|7\5
| | 1280
|186.667
| | 1303.885
|Mixolydian-Ionian mode ends
| | 1386.667
|}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.
| | 1411.847
| | 1506.667
|}


By a surprising coincidence, the Golden tuning of this edX is almost exactly every fifth degree of [[34edo|34edo]].
==See also==
*[[9ed5/2]] - equal division of the classic major tenth
* [[9ed7/3]] - equal division of the septimal minor tent
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