17ed4

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← 50ed64 51ed64 52ed64 →
Prime factorization 3 × 17
Step size 141.176 ¢ 
Octave 9\51ed64 (1270.59 ¢) (→ 3\17ed64)
Twelfth 13\51ed64 (1835.29 ¢)
Consistency limit 2
Distinct consistency limit 2

17ed4 is the equal division of the double octave into 17 parts of 141.18 cents each, corresponding to 8.5edo or every second step of 17edo.

Theory

TBA

Approximation of harmonics in 51ed64
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) +70.6 -66.7 -0.0 +37.2 +3.9 +19.4 +70.6 +7.9 -33.4 -57.2 -66.7
Relative (%) +50.0 -47.2 -0.0 +26.4 +2.8 +13.7 +50.0 +5.6 -23.6 -40.5 -47.2
Steps
(reduced)
9
(9)
13
(13)
17
(17)
20
(20)
22
(22)
24
(24)
26
(26)
27
(27)
28
(28)
29
(29)
30
(30)

Intervals

# Cents Approximate ratios 17edo notation
0 0.00 1/1 C
1 141.18 13/12, 12/11, 14/13, 25/23 C#
2 282.36 13/11, 7/6 Eb
3 423.54 32/25, 9/7, 14/11, 33/26, 23/18 E
4 564.72 11/8, 18/13, 32/23 ^F
5 705.90 3/2, 32/21 G
6 847.08 13/8, 18/11, 23/14 G#, vA
7 988.26 16/9, 7/4, 25/14, 44/25, 23/13 Bb
8 1129.44 25/13, 48/25, 27/14, 64/33, 23/12 B
9 1270.62 15/7 ^C
10 1411.80 16/7 D
11 1552.98 12/5, 5/2 vE
12 1694.16 8/3 F
13 1835.34 3/1 F#
14 1976.52 16/5 ^G, Ab
15 2117.70 10/3 A
16 2258.88 11/3 vB
17 2400.00 4/1 C