28:35:40:50: Difference between revisions

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Undo revision 191971 by VectorGraphics (talk). Discuss with whoever uses the term "condissonance"
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[[Category:Dominant seventh flat five chords|##]]
[[Category:Dominant seventh flat five chords|##]]
{{chord edo approximation}}

Latest revision as of 04:26, 26 May 2026

Chord information
Harmonics 28:35:40:50
Subharmonics 1/(50:40:35:28)
Intervals from root 1/15/410/725/14
Cents from root 386¢617¢1004¢
Step intervals 5/4, 8/7, 5/4
Step cents 386¢, 231¢, 386¢
Color name yo ruyoyopo-7 ruyopo-5
or y,ryyp7(ryp5)
Prime limit 7
Genus 527 (175)
Intervallic odd limit 25
Otonal odd limit 35
Utonal odd limit 35
Consistent edos (d ≥ 2) 6edo*, 25edo*, 31edo**, 37edo*, …

28:35:40:50 is a condissonant chord that may be interpreted as a 7-limit dominant seventh flat five chord. See also its far more plausible homonym 20:25:28:35.

In starling, marvel, and septimal meantone it is tempered together with a 5-limit dominant seventh flat five chord.


Edo approximations for 28:35:40:50 
intervals: 5/4, 10/7, 25/14 · ≤ 60edo, RMS rel. error ≤ 15%
  Edo Steps Cents (¢) Absolute errors (¢) RMS (¢) RMS (%)
6 0  2  3  5 0.00 400.00 600.00 1000.00 0.00 +13.69 -17.49  -3.80 11.10 5.55
10 0  3  5  8 0.00 360.00 600.00  960.00 0.00 -26.31 -17.49 -43.80 15.80 13.16
12 0  4  6 10 0.00 400.00 600.00 1000.00 0.00 +13.69 -17.49  -3.80 11.10 11.10
16 0  5  8 13 0.00 375.00 600.00  975.00 0.00 -11.31 -17.49 -28.80 10.41 13.89
19 0  6 10 16 0.00 378.95 631.58 1010.53 0.00  -7.37 +14.09  +6.72 7.95 12.59
25 0  8 13 21 0.00 384.00 624.00 1008.00 0.00  -2.31  +6.51  +4.20 3.46 7.20
31 0 10 16 26 0.00 387.10 619.35 1006.45 0.00  +0.78  +1.87  +2.65 1.01 2.62
35 0 11 18 29 0.00 377.14 617.14  994.29 0.00  -9.17  -0.34  -9.52 4.59 13.38
37 0 12 19 31 0.00 389.19 616.22 1005.41 0.00  +2.88  -1.27  +1.60 1.57 4.85
41 0 13 21 34 0.00 380.49 614.63  995.12 0.00  -5.83  -2.85  -8.68 3.24 11.08
43 0 14 22 36 0.00 390.70 613.95 1004.65 0.00  +4.38  -3.53  +0.85 2.82 10.09
47 0 15 24 39 0.00 382.98 612.77  995.74 0.00  -3.33  -4.72  -8.06 2.89 11.32
50 0 16 26 42 0.00 384.00 624.00 1008.00 0.00  -2.31  +6.51  +4.20 3.46 14.40
53 0 17 27 44 0.00 384.91 611.32  996.23 0.00  -1.41  -6.17  -7.58 3.16 13.97
56 0 18 29 47 0.00 385.71 621.43 1007.14 0.00  -0.60  +3.94  +3.34 1.99 9.30