16edX is the scale which occurs as the dominant reformed Mixolydian mode. It also gives the period of the 16th-decade Roccocavallo branch of the Carrera temperament family.
Intervals
| Decade
|
Period
|
Notes
|
| 6\5
|
90.000
|
Intense Aeolian-Subpental Dorian mode begins
|
| 17\14
|
91.071
|
|
| 11\9
|
91.667
|
Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
|
| 16\13
|
92.308
|
|
| 5\4
|
93.750
|
Subpental Dorian mode ends, Pental Dorian mode begins
|
| 24\19
|
94.737
|
|
| 19\15
|
95.000
|
|
| 14\11
|
95.455
|
Pental Dorian mode ends, Superpental Dorian mode begins
|
| 23\18
|
95.833
|
|
| 9\7
|
96.429
|
Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
|
| 31\24
|
96.875
|
|
| 22\17
|
97.059
|
Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins
|
| 35\27
|
97.222
|
|
| 13\10
|
97.500
|
Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
|
| 17\13
|
98.077
|
|
| 21\16
|
98.438
|
Subpental Mixolydian mode ends, Pental Mixolydian mode begins
|
| 25\19
|
98.684
|
|
| 29\22
|
98.864
|
|
| 33\25
|
99.000
|
|
| 4\3
|
100.000
|
Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
|
| 19\14
|
101.786
|
|
| 15\11
|
102.273
|
Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
|
| 26\19
|
102.632
|
|
| 11\8
|
103.125
|
Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|
| 18\13
|
103.846
|
|
| 25\18
|
104.167
|
|
| 7\5
|
105.000
|
Mixolydian-Ionian mode ends
|
Relative cents
| Degrees
|
Enneatonic
|
Intense Aeolian-Subpental Dorian
|
Dorian
|
Dorian-Mixolydian
|
| 1
|
1#/2b
|
G#/Jb
|
G#/Ab
|
90.625
|
93.75
|
96.875
|
| 2
|
2
|
J
|
A
|
181.25
|
187.5
|
193.75
|
| 3
|
2#/3b
|
J#/Ab
|
A#/Bb
|
271.875
|
281.25
|
290.625
|
| 4
|
3
|
J
|
B
|
362.5
|
375
|
387.5
|
| 5
|
3#/4b
|
J#/Ab
|
B#/Cb
|
453.125
|
468.75
|
484.375
|
| 6
|
4
|
A
|
C
|
543.75
|
562.5
|
581.25
|
| 7
|
5
|
A#/Bb
|
C#/Qb
|
633.375
|
656.25
|
678.125
|
| 8
|
5#/6b
|
B
|
Q
|
725
|
750
|
775
|
| 9
|
6
|
C
|
D
|
815.625
|
843.75
|
871.875
|
| 10
|
6#/7b
|
C#/Db
|
D#/Sb
|
906.25
|
937.5
|
968.75
|
| 11
|
7
|
D
|
S
|
996.875
|
1031.25
|
1065.625
|
| 12
|
7#/8b
|
D#/Eb
|
S#/Eb
|
1087.5
|
1125
|
1162.5
|
| 13
|
8
|
E
|
1178.125
|
1218.75
|
1259.375
|
| 14
|
8#/9b
|
E#/Fb
|
1268.75
|
1312.5
|
1356.25
|
| 15
|
9
|
F
|
1359.375
|
1406.25
|
1453.125
|
| 16
|
1
|
G
|
1450
|
1500
|
1550
|
| Degrees
|
Enneatonic
|
Subpental-Soft Superpental Mixolydian
|
Intense Superpental Mixolydian ~ Mixolydian-Ionian
|
| 1
|
1#/2b
|
F#/Gb
|
100
|
103.125
|
| 2
|
2
|
G
|
200
|
206.25
|
| 3
|
2#/3b
|
G#/Jb
|
G#/Ab
|
300
|
309.375
|
| 4
|
3
|
J
|
A
|
400
|
412.5
|
| 5
|
3#/4b
|
J#/Ab
|
A#/Bb
|
500
|
515.625
|
| 6
|
4
|
A
|
B
|
600
|
618.75
|
| 7
|
5
|
B
|
H
|
700
|
721.875
|
| 8
|
5#/6b
|
B#/Hb
|
H#/Cb
|
800
|
825
|
| 9
|
6
|
H
|
C
|
900
|
928.125
|
| 10
|
6#/7b
|
H#/Cb
|
C#/Db
|
1000
|
1031.25
|
| 11
|
7
|
C
|
D
|
1100
|
1134.375
|
| 12
|
7#/8b
|
C#/Db
|
D#/Sb
|
1200
|
1237.5
|
| 13
|
8
|
D
|
S
|
1300
|
1340.625
|
| 14
|
8#/9b
|
D#/Eb
|
S#/Eb
|
1400
|
1443.75
|
| 15
|
9
|
E
|
1500
|
1546.875
|
| 16
|
1
|
F
|
1600
|
1650
|
By a surprising coincidence, neutral 16edX turns out to be a false Pelogic temperament with a very pure 5:4 (mistuned by no more than 3.686 cents), and tuning 5:3 pure creates a tenth almost exactly equal to 38/29edo or almost exactly the Golden Subpental Mixolydian step or every ninth step of 110edo, and tuning 4:3 pure creates an almost exact 43/74edo fifth. Also, the Golden Soft Superpental Mixolydian step is almost exactly (25/24)^(10/7) and tuning 12:7 pure creates almost exactly the Golden Mixolydian-Ionian step.
See also
- 16ed5/2 - equal division of the classic major tenth
- 16ed7/3 - equal division of the septimal minor tenth