4:5:6:9

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Chord information
Harmonics 4:5:6:9
Subharmonics 1/(45:36:30:20)
Intervals from root 1/15/43/29/4
Cents from root 386¢702¢1404¢
Step intervals 5/4, 6/5, 3/2
Step cents 386¢, 316¢, 702¢
Color name yo add-9 or y,9
Prime limit 5
Genus 325 (45)
Intervallic odd limit 9
Otonal odd limit 9
Utonal odd limit 45
Consistent edos (d ≥ 2) 12edo*, 19edo*, 34edo*, 41edo*, …

4:5:6:9 is an added-ninth chord in 5-limit just intonation.


Edo approximations for 4:5:6:9 
intervals: 5/4, 3/2, 9/4 · ≤ 60edo, RMS rel. error ≤ 15%
  Edo Steps Cents (¢) Absolute errors (¢) RMS (¢) RMS (%)
7 0  2  4  8 0.00 342.86 685.71 1371.43 0.00 -43.46 -16.24 -32.48 16.45 9.60
12 0  4  7 14 0.00 400.00 700.00 1400.00 0.00 +13.69  -1.96  -3.91 6.91 6.91
19 0  6 11 22 0.00 378.95 694.74 1389.47 0.00  -7.37  -7.22 -14.44 5.10 8.08
22 0  7 13 26 0.00 381.82 709.09 1418.18 0.00  -4.50  +7.14 +14.27 7.13 13.07
24 0  8 14 28 0.00 400.00 700.00 1400.00 0.00 +13.69  -1.96  -3.91 6.91 13.83
31 0 10 18 36 0.00 387.10 696.77 1393.55 0.00  +0.78  -5.18 -10.36 4.48 11.58
34 0 11 20 40 0.00 388.24 705.88 1411.76 0.00  +1.92  +3.93  +7.85 2.91 8.24
41 0 13 24 48 0.00 380.49 702.44 1404.88 0.00  -5.83  +0.48  +0.97 2.75 9.41
46 0 15 27 54 0.00 391.30 704.35 1408.70 0.00  +4.99  +2.39  +4.79 2.03 7.79
53 0 17 31 62 0.00 384.91 701.89 1403.77 0.00  -1.41  -0.07  -0.14 0.58 2.57
58 0 19 34 68 0.00 393.10 703.45 1406.90 0.00  +6.79  +1.49  +2.99 2.52 12.20
60 0 19 35 70 0.00 380.00 700.00 1400.00 0.00  -6.31  -1.96  -3.91 2.34 11.70

See also

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