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18ed5/2: Difference between revisions

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{{Infobox ET}}
{{ED intro}}
This scale is a neutral Mixolydian mode of the Middletown relative of [[Whitewood]] temperament, or the White Oak scale. The Middletown Valley relatives of [[Blackwood]] temperament are:
This scale is a neutral Mixolydian mode of the Middletown relative of [[Whitewood]] temperament, or the White Oak scale. The Middletown Valley relatives of [[Blackwood]] temperament are:


Fair Terra Rubra: bi-equal tetrad
*Fair Terra Rubra: bi-equal tetrad


Fair Tritetrachordal: Middletown Valley Double Augmented
*Fair Tritetrachordal: Middletown Valley Double Augmented


Fair Montrose: Vesuvius Marcodiminished
*Fair Montrose: Vesuvius Marcodiminished


Unfair Montrose: Annapolis~Oriole Macro-Blackwood
*Unfair Montrose: Annapolis~Oriole Macro-Blackwood


Unfair Tritetrachordal: Mt. Airy
*Unfair Tritetrachordal: Mt. Airy


Unfair Terra Rubra: Westminster
*Unfair Terra Rubra: Westminster
 
== Intervals ==


{| class="wikitable"
{| class="wikitable"
!Degrees
!Degrees
! colspan="6" |Enneatonic
! colspan="6" |Enneatonic
!ed38\29
!Dodecatonic
!Pyrite
!Cents
!ed5/2
!ed(7φ+6)\5(φ+1) (~[[68ed8]]!)
!ed4\3=''r¢''
|-
|-
| |1
| |1
| colspan="2" |FG
| colspan="2" |FG
| colspan="4" |G
| colspan="4" |G
|87.356
|1#/2b
|87.448
|88.1285
|88.1285
|88.2405
|88.889
|-
|-
| |2
| |2
Line 37: Line 36:
|J
|J
|''A''
|''A''
|174.713
|2
|174.897
|176.257
|176.257
|176.481
|177.778
|-
|-
| |3
| |3
Line 50: Line 46:
|Jv/A\\
|Jv/A\\
|''Av/B\\''
|''Av/B\\''
|262.069
|3
|262.345
|264.386
|264.386
|264.721
|266.667
|-
|-
| |4
| |4
Line 63: Line 56:
|Jw/A^^
|Jw/A^^
|''Aw/B^^''
|''Aw/B^^''
|349.425
|3#/4b
|349.794
|352.514
|352.514
|352.962
|355.556
|-
|-
| |5
| |5
Line 76: Line 66:
|Jp/A^
|Jp/A^
|''Ap/B^''
|''Ap/B^''
|436.782
|4
|437.242
|440.643
|440.643
|441.202
|444.444
|-
|-
| |6
| |6
Line 89: Line 76:
|A
|A
|''B''
|''B''
|524.138
|5
|524.6905
|528.771
|528.771
|529.443
|533.333
|-
|-
| |7
| |7
Line 102: Line 86:
|B
|B
|''H''
|''H''
|611.494
|5#/6b
|612.139
|616.9
|616.9
|617.683
|622.222
|-
|-
|8
|8
Line 115: Line 96:
|H
|H
|''C''
|''C''
|698.851
|6
|699.587
|705.028
|705.028
|705.924
|711.111
|-
|-
|9
|9
Line 128: Line 106:
|Hv/C\\
|Hv/C\\
|''Cv/D\\''
|''Cv/D\\''
|786.207
|7
|787.036
|793.157
|793.157
|794.164
|''800''
|-
|-
|10
|10
Line 141: Line 116:
|Hw/C^^
|Hw/C^^
|''Cw/D^^''
|''Cw/D^^''
|873.563
|7#/8b
|874.484
|881.285
|881.285
|882.4045
|888.888
|-
|-
|11
|11
Line 154: Line 126:
|Hp/C^
|Hp/C^
|''Cp/D^''
|''Cp/D^''
|960.9195
|8
|961.9325
|969.414
|969.414
|970.645
|977.778
|-
|-
|12
|12
Line 167: Line 136:
|C
|C
|''D''
|''D''
|1048.276
|9
|1049.381
|1057.5425
|1057.5425
|1058.885
|1066.667
|-
|-
|13
|13
Line 180: Line 146:
|D
|D
|''S''
|''S''
|1135.632
|9#/Xb
|1136.829
|1145.671
|1145.671
|1147.126
|1155.556
|-
|-
|14
|14
Line 190: Line 153:
|''S''
|''S''
| colspan="4" |E
| colspan="4" |E
|1222.9885
|X
|1224.278
|1233.8
|1233.8
|1235.366
|1244.444
|-
|-
|15
|15
Line 201: Line 161:
| colspan="2" |E^/Fb
| colspan="2" |E^/Fb
| colspan="2" |Ev/F\\
| colspan="2" |Ev/F\\
|1310.345
|E
|1311.726
|1321.928
|1321.928
|1323.607
|1333.333
|-
|-
|16
|16
Line 211: Line 168:
| colspan="2" |E^^/Fw
| colspan="2" |E^^/Fw
| colspan="2" |Ew/F^^
| colspan="2" |Ew/F^^
|1397.701
|E#/0b
|1399.175
|1410.0566
|1410.0566
|1411.847
|1422.222
|-
|-
|17
|17
Line 221: Line 175:
| colspan="2" |E#/Fv
| colspan="2" |E#/Fv
| colspan="2" |Ep/F^
| colspan="2" |Ep/F^
|1485.0575
|0
|1486.30.
|1498.185
|1498.185
|1500.088
|1511.111
|-
|-
|18
|18
| colspan="6" |F
| colspan="6" |F
|1572.414
|1
|1574.0715
|1586.314
|1586.314
|1588.328
|''1600''
|}
|}
== Harmonics ==
{{Harmonics in equal
| steps = 18
| num = 5
| denom = 2
}}
{{Harmonics in equal
| steps = 18
| num = 5
| denom = 2
| start = 12
| collapsed = 1
}}
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