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This is the neutral scale of the Middletown temperament family.
This is the neutral scale of the Middletown temperament family.
==Intervals==
==Intervals==
{| class="wikitable"
{| class="wikitable"
! rowspan="5" |Degrees
! colspan="8" |Minor mode Middletown temperament
! colspan="2" |Neutral mode Middletown temperament
! colspan="10" |Major mode Middletown temperament
|-
! colspan="2" rowspan="3" |Aeolian-Dorian
! colspan="6" |Dorian
! colspan="2" rowspan="3" |Dorian-Mixolydian
! colspan="8" |Mixolydian
! colspan="2" rowspan="3" |Mixolydian-Ionian
|-
! colspan="2" rowspan="2" |Subpental
! colspan="2" rowspan="2" |Pental
! colspan="2" rowspan="2" |Superpental
! colspan="2" rowspan="2" |Subpental
! colspan="2" rowspan="2" |Pental
! colspan="4" |Superpental
|-
! colspan="2" |Soft
! colspan="2" |Intense
|-
! |Minimum
! |Maximum
!Minimum
!Maximum
!Minimum
!Maximum
!Minimum
!Maximum
!Minimum
! |Maximum
!Minimum
!Maximum
! |Minimum
!Maximum
!Minimum
!Maximum
!Minimum
!Maximum
!Minimum
! |Maximum
|-
| |1
| |160
| colspan="2" |162.963
| colspan="2" |166.667
| colspan="2" |169.697
| colspan="2" |171.429
| colspan="2" |173.333
| colspan="2" |175
| colspan="2" |177.778
| colspan="2" |179.31
| colspan="2" |183.908
| |186.667
|-
| |2
| |320
| colspan="2" |325.926
| colspan="2" |333.333
| colspan="2" |339.394
| colspan="2" |342.857
| colspan="2" |246.667
| colspan="2" |350
| colspan="2" |355.556
| colspan="2" |358.621
| colspan="2" |367.816
| |373.333
|-
| |3
| |480
| colspan="2" |488.889
| colspan="2" |500
| colspan="2" |509.091
| colspan="2" |514.286
| colspan="2" |520
| colspan="2" |525
| colspan="2" |533.333
| colspan="2" |537.931
| colspan="2" |551.724
| |560
|-
| |4
| |640
| colspan="2" |651.852
| colspan="2" |666.667
| colspan="2" |678.788
| colspan="2" |685.714
| colspan="2" |693.333
| colspan="2" |700
| colspan="2" |711.111
| colspan="2" |717.241
| colspan="2" |735.632
| |846.667
|-
| |5
| |800
| colspan="2" |814.815
| colspan="2" |833.333
| colspan="2" |848.485
| colspan="2" |857.143
| colspan="2" |866.667
| colspan="2" |875
| colspan="2" |888.889
| colspan="2" |896.552
| colspan="2" |919.54
| |1033.333
|-
| |6
| |960
| colspan="2" |977.778
| colspan="2" |1000
| colspan="2" |1018.182
| colspan="2" |1028.571
| colspan="2" |1040
| colspan="2" |1050
| colspan="2" |1066.667
| colspan="2" |1075.862
| colspan="2" |1103.448
| |1120
|-
| |7
| |1120
| colspan="2" |1140.741
| colspan="2" |1166.666
| colspan="2" |1187.879
| colspan="2" |1200
| colspan="2" |1213.333
| colspan="2" |1225
| colspan="2" |1244.444
| colspan="2" |1255.172
| colspan="2" |1287.356
| |1306.667
|-
|8
|1280
| colspan="2" |1303.704
| colspan="2" |1333.333
| colspan="2" |1357.576
| colspan="2" |1371.429
| colspan="2" |1386.667
| colspan="2" |1400
| colspan="2" |1422.222
| colspan="2" |1434.483
| colspan="2" |1471.264
|1493.333
|}Golden tunings
{| class="wikitable"
|+
! rowspan="4" |Degrees
! colspan="4" |Minor mode Middletown temperament
!Neutral mode Middletown temperament
! colspan="5" |Major mode Middletown temperament
|-
! rowspan="3" |Aeolian-Dorian
! colspan="3" |Dorian
! rowspan="3" |Dorian-Mixolydian
! colspan="4" |Mixolydian
! rowspan="3" |Mixolydian-Ionian
|-
! rowspan="2" |Subpental
! rowspan="2" |Pental
! rowspan="2" |Superpental
! rowspan="2" |Subpental
! rowspan="2" |Pental
! colspan="2" |Superpental
|-
|-
! | Degrees
!Soft
! | Minimum
!Intense
! | ed(7/3)
! | Mean/Median
! | Golden
! | Maximum
|-
|-
| | 1
|1
| | 160
|162.206
| | 162.986
|163.761
| | 173.333
|169.141
| | 176.481
|170.186
| | 193.333
|172.758
|174.536
|175.2885
|179.218
|182.152
|184.174
|-
|-
| | 2
|2
| | 320
|324.411
| | 325.971
|327.522
| | 346.667
|338.282
| | 352.961
|340.3715
| | 386.667
|345.516
|349.071
|351.577
|358.4365
|364.304
|368.347
|-
|-
| | 3
|3
| | 480
|486.617
| | 488.957
|491.283
| | 520
|507.423
| | 529.443
|510.557
| | 560
|518.274
|523.607
|525.865
|537.655
|546.456
|552.521
|-
|-
| | 4
|4
| | 640
|648.823
| | 651.943
|655.044
| | 693.333
|676.564
| | 705.924
|680.743
| | 753.333
|691.0325
|698.142
|701.154
|716.873
|728.6075
|736.695
|-
|-
| | 5
|5
| | 800
|811.028
| | 814.928
|818.805
| | 866.667
|845.7045
| | 882.404'5
|850.928
| | 886.667
|863.791
|872.678
|876.442
|896.091
|910.759
|920.8685
|-
|-
| | 6
|6
| | 960
|973.234
| | 977.913
|982.5665
| | 1040
|1014.8455
| | 1058.885
|1021.115
| | 1120
|1036.549
|1047.214
|1051.731
|1075.3095
|1092.911
|1105.042
|-
|-
| | 7
|7
| | 1120
|1135.4395
| | 1140.9
|1146.3275
| | 1213.333
|1183.986
| | 1235.366
|1191.3
| | 1313.333
|1209.307
|1221.749
|1227.019
|1254.528
|1275.063
|1289.215
|-
|-
| | 8
|8
| | 1280
|1297.645
| | 1303.885
|1310.089
| | 1386.667
|1353.127
| | 1411.847
|1361.486
| | 1506.667
|1382.065
|1396.285
|1402.308
|1433.746
|1457.215
|1473.3895
|}
|}


By a surprising coincidence, the Golden tuning of this edX is almost exactly every fifth degree of [[34edo|34edo]].
By a surprising coincidence, the edX of the Golden tenth (7*phi+6)\(5*phi^2)edo is almost exactly every fifth degree of [[34edo|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.
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