18ed5/2: Difference between revisions

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Line 19: Line 19:
! colspan="6" |Enneatonic
! colspan="6" |Enneatonic
!Dodecatonic
!Dodecatonic
!ed38\29
!Cents
!Pyrite
!ed5/2
!ed(7φ+6)\5(φ+1) (~[[68ed8]]!)
!ed4\3=''r¢''
|-
|-
| |1
| |1
Line 29: Line 25:
| colspan="4" |G
| colspan="4" |G
|1#/2b
|1#/2b
|87.356
|87.448
|88.1285
|88.1285
|88.2405
|88.889
|-
|-
| |2
| |2
Line 42: Line 34:
|''A''
|''A''
|2
|2
|174.713
|174.897
|176.257
|176.257
|176.481
|177.778
|-
|-
| |3
| |3
Line 56: Line 44:
|''Av/B\\''
|''Av/B\\''
|3
|3
|262.069
|262.345
|264.386
|264.386
|264.721
|266.667
|-
|-
| |4
| |4
Line 70: Line 54:
|''Aw/B^^''
|''Aw/B^^''
|3#/4b
|3#/4b
|349.425
|349.794
|352.514
|352.514
|352.962
|355.556
|-
|-
| |5
| |5
Line 84: Line 64:
|''Ap/B^''
|''Ap/B^''
|4
|4
|436.782
|437.242
|440.643
|440.643
|441.202
|444.444
|-
|-
| |6
| |6
Line 98: Line 74:
|''B''
|''B''
|5
|5
|524.138
|524.6905
|528.771
|528.771
|529.443
|533.333
|-
|-
| |7
| |7
Line 112: Line 84:
|''H''
|''H''
|5#/6b
|5#/6b
|611.494
|612.139
|616.9
|616.9
|617.683
|622.222
|-
|-
|8
|8
Line 126: Line 94:
|''C''
|''C''
|6
|6
|698.851
|699.587
|705.028
|705.028
|705.924
|711.111
|-
|-
|9
|9
Line 140: Line 104:
|''Cv/D\\''
|''Cv/D\\''
|7
|7
|786.207
|787.036
|793.157
|793.157
|794.164
|''800''
|-
|-
|10
|10
Line 154: Line 114:
|''Cw/D^^''
|''Cw/D^^''
|7#/8b
|7#/8b
|873.563
|874.484
|881.285
|881.285
|882.4045
|888.888
|-
|-
|11
|11
Line 168: Line 124:
|''Cp/D^''
|''Cp/D^''
|8
|8
|960.9195
|961.9325
|969.414
|969.414
|970.645
|977.778
|-
|-
|12
|12
Line 182: Line 134:
|''D''
|''D''
|9
|9
|1048.276
|1049.381
|1057.5425
|1057.5425
|1058.885
|1066.667
|-
|-
|13
|13
Line 196: Line 144:
|''S''
|''S''
|9#/Xb
|9#/Xb
|1135.632
|1136.829
|1145.671
|1145.671
|1147.126
|1155.556
|-
|-
|14
|14
Line 207: Line 151:
| colspan="4" |E
| colspan="4" |E
|X
|X
|1222.9885
|1224.278
|1233.8
|1233.8
|1235.366
|1244.444
|-
|-
|15
|15
Line 219: Line 159:
| colspan="2" |Ev/F\\
| colspan="2" |Ev/F\\
|E
|E
|1310.345
|1311.726
|1321.928
|1321.928
|1323.607
|1333.333
|-
|-
|16
|16
Line 230: Line 166:
| colspan="2" |Ew/F^^
| colspan="2" |Ew/F^^
|E#/0b
|E#/0b
|1397.701
|1399.175
|1410.0566
|1410.0566
|1411.847
|1422.222
|-
|-
|17
|17
Line 241: Line 173:
| colspan="2" |Ep/F^
| colspan="2" |Ep/F^
|0
|0
|1485.0575
|1486.30.
|1498.185
|1498.185
|1500.088
|1511.111
|-
|-
|18
|18
| colspan="6" |F
| colspan="6" |F
|1
|1
|1572.414
|1574.0715
|1586.314
|1586.314
|1588.328
|''1600''
|}
|}

Revision as of 01:52, 4 May 2023

← 17ed5/2 18ed5/2 19ed5/2 →
Prime factorization 2 × 32
Step size 88.1285 ¢ 
Octave 14\18ed5/2 (1233.8 ¢) (→ 7\9ed5/2)
Twelfth 22\18ed5/2 (1938.83 ¢) (→ 11\9ed5/2)
Consistency limit 3
Distinct consistency limit 3

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 Tritetrachordal: Middletown Valley Double Augmented

Fair Montrose: Vesuvius Marcodiminished

Unfair Montrose: Annapolis~Oriole Macro-Blackwood

Unfair Tritetrachordal: Mt. Airy

Unfair Terra Rubra: Westminster

Degrees Enneatonic Dodecatonic Cents
1 FG G 1#/2b 88.1285
2 G J A J A 2 176.257
3 GJ GA J^/Ab A^/Bb Jv/A\\ Av/B\\ 3 264.386
4 J A J^^/Aw A^^/Bw Jw/A^^ Aw/B^^ 3#/4b 352.514
5 JA AB J#/Av A#/Bv Jp/A^ Ap/B^ 4 440.643
6 A B A B A B 5 528.771
7 AB BH B H B H 5#/6b 616.9
8 B H H C H C 6 705.028
9 BH HC H^/Cb C^/Db Hv/C\\ Cv/D\\ 7 793.157
10 H C H^^/Cw C^^/Dw Hw/C^^ Cw/D^^ 7#/8b 881.285
11 HC CD H#/Cv C#/Dv Hp/C^ Cp/D^ 8 969.414
12 C D C D C D 9 1057.5425
13 CD DS D S D S 9#/Xb 1145.671
14 D S E X 1233.8
15 DE SE E^/Fb Ev/F\\ E 1321.928
16 E E^^/Fw Ew/F^^ E#/0b 1410.0566
17 EF E#/Fv Ep/F^ 0 1498.185
18 F 1 1586.314
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