| Prime factorization
|
72
|
| Step size
|
73.4694 ¢
|
| Octave
|
16\49ed8 (1175.51 ¢)
|
| Twelfth
|
26\49ed8 (1910.2 ¢)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
49 equal divisions of the 8th harmonic (abbreviated 49ed8) is a nonoctave tuning system that divides the interval of 8/1 into 49 equal parts of about 73.5 ¢ each. Each step represents a frequency ratio of 81/49, or the 49th root of 8.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
Note names from 49edo
|
| 0
|
0
|
1/1
|
C
|
| 1
|
73.5
|
23/22
|
^Db
|
| 2
|
146.9
|
25/23
|
vC#
|
| 3
|
220.4
|
17/15, 25/22
|
D
|
| 4
|
293.9
|
|
^Eb
|
| 5
|
367.3
|
21/17, 31/25
|
vD#
|
| 6
|
440.8
|
22/17
|
E
|
| 7
|
514.3
|
31/23
|
^F
|
| 8
|
587.8
|
7/5
|
^^Gb
|
| 9
|
661.2
|
19/13, 22/15
|
F#
|
| 10
|
734.7
|
23/15, 29/19
|
^G
|
| 11
|
808.2
|
|
^^Ab
|
| 12
|
881.6
|
5/3
|
G#
|
| 13
|
955.1
|
|
^A
|
| 14
|
1028.6
|
|
^^Bb
|
| 15
|
1102
|
17/9
|
A#
|
| 16
|
1175.5
|
|
^B/vC
|
| 17
|
1249
|
|
Db
|
| 18
|
1322.4
|
15/7
|
vvC#
|
| 19
|
1395.9
|
|
vD
|
| 20
|
1469.4
|
7/3
|
Eb
|
| 21
|
1542.9
|
22/9
|
vvD#
|
| 22
|
1616.3
|
|
vE
|
| 23
|
1689.8
|
|
F
|
| 24
|
1763.3
|
25/9
|
^Gb
|
| 25
|
1836.7
|
|
vF#
|
| 26
|
1910.2
|
|
G
|
| 27
|
1983.7
|
22/7
|
^Ab
|
| 28
|
2057.1
|
23/7
|
vG#
|
| 29
|
2130.6
|
|
A
|
| 30
|
2204.1
|
25/7
|
^Bb
|
| 31
|
2277.6
|
|
vA#
|
| 32
|
2351
|
|
B
|
| 33
|
2424.5
|
|
^C
|
| 34
|
2498
|
|
^^Db
|
| 35
|
2571.4
|
31/7
|
C#
|
| 36
|
2644.9
|
23/5
|
^D
|
| 37
|
2718.4
|
|
^^Eb
|
| 38
|
2791.8
|
5/1
|
D#
|
| 39
|
2865.3
|
|
^E/vF
|
| 40
|
2938.8
|
|
Gb
|
| 41
|
3012.2
|
|
vvF#
|
| 42
|
3085.7
|
|
vG
|
| 43
|
3159.2
|
31/5
|
Ab
|
| 44
|
3232.7
|
|
vvG#
|
| 45
|
3306.1
|
|
vA
|
| 46
|
3379.6
|
|
Bb
|
| 47
|
3453.1
|
22/3
|
vvA#
|
| 48
|
3526.5
|
23/3
|
vB
|
| 49
|
3600
|
|
C
|