35:42:50:60

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Chord information
Harmonics 35:42:50:60
Subharmonics 1/(60:50:42:35)
Intervals from root 1/16/510/712/7
Cents from root 316¢617¢933¢
Step intervals 6/5, 25/21, 6/5
Step cents 316¢, 302¢, 316¢
Color name sub-6 ruyopo-5 or s6(ryp5)
Prime limit 7
Genus 3527 (525)
Intervallic odd limit 25
Otonal odd limit 35
Utonal odd limit 35
Consistent edos (d ≥ 2) 4edo**, 8edo*, 19edo*, 23edo*, …

35:42:50:60 is a condissonant diminished seventh chord.

In starling temperament, the 25-odd-limit intervals within this chord are tempered together with 7-odd-limit intervals, resulting in a 7-odd-limit essentially tempered chord.


Edo approximations for 35:42:50:60 
intervals: 6/5, 10/7, 12/7 · ≤ 60edo, RMS rel. error ≤ 15%
  Edo Steps Cents (¢) Absolute errors (¢) RMS (¢) RMS (%)
8 0  2  4  6 0.00 300.00 600.00 900.00 0.00 -15.64 -17.49 -33.13 11.73 7.82
12 0  3  6  9 0.00 300.00 600.00 900.00 0.00 -15.64 -17.49 -33.13 11.73 11.73
15 0  4  8 12 0.00 320.00 640.00 960.00 0.00  +4.36 +22.51 +26.87 11.47 14.33
19 0  5 10 15 0.00 315.79 631.58 947.37 0.00  +0.15 +14.09 +14.24 7.05 11.16
23 0  6 12 18 0.00 313.04 626.09 939.13 0.00  -2.60  +8.60  +6.00 4.49 8.61
27 0  7 14 21 0.00 311.11 622.22 933.33 0.00  -4.53  +4.73  +0.20 3.28 7.37
31 0  8 16 24 0.00 309.68 619.35 929.03 0.00  -5.96  +1.87  -4.10 3.12 8.07
35 0  9 18 27 0.00 308.57 617.14 925.71 0.00  -7.07  -0.34  -7.41 3.54 10.32
37 0 10 19 29 0.00 324.32 616.22 940.54 0.00  +8.68  -1.27  +7.41 4.39 13.53
39 0 10 20 30 0.00 307.69 615.38 923.08 0.00  -7.95  -2.10 -10.05 4.11 13.36
41 0 11 21 32 0.00 321.95 614.63 936.59 0.00  +6.31  -2.85  +3.46 3.46 11.83
45 0 12 23 35 0.00 320.00 613.33 933.33 0.00  +4.36  -4.15  +0.20 3.01 11.29
49 0 13 25 38 0.00 318.37 612.24 930.61 0.00  +2.73  -5.24  -2.52 2.95 12.06
53 0 14 27 41 0.00 316.98 611.32 928.30 0.00  +1.34  -6.17  -4.83 3.16 13.94
54 0 14 28 42 0.00 311.11 622.22 933.33 0.00  -4.53  +4.73  +0.20 3.28 14.74
58 0 15 30 45 0.00 310.34 620.69 931.03 0.00  -5.30  +3.20  -2.09 3.09 14.96
60 0 16 31 47 0.00 320.00 620.00 940.00 0.00  +4.36  +2.51  +6.87 2.52 12.58