28:35:40: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Pailiaq (talk | contribs)
No edit summary
Pailiaq (talk | contribs)
No edit summary
 
Line 5: Line 5:
The open voicing '''14:20:35''' may be used as a fundamental utonal consonance of the [[2.5.7 subgroup]]. It is the inverse of [[4:7:10]] with the middle voice contrasting by [[49/40]].
The open voicing '''14:20:35''' may be used as a fundamental utonal consonance of the [[2.5.7 subgroup]]. It is the inverse of [[4:7:10]] with the middle voice contrasting by [[49/40]].


https://en.xen.wiki/w/16:20:25:28
{{chord edo approximation}}

Latest revision as of 04:26, 26 May 2026

Chord information
Harmonics 28:35:40
Subharmonics 1/(10:8:7)
Intervals from root 1/15/410/7
Cents from root 386¢617¢
Step intervals 5/4, 8/7
Step cents 386¢, 231¢
Color name yo ruyopo-5 or y(ryp5)
Prime limit 7
Genus 57 (35)
Intervallic odd limit 7
Otonal odd limit 35
Utonal odd limit 7
Consistent edos (d ≥ 2) 6edo*, 10edo*, 16edo*, 21edo*, …

28:35:40, the rootless subharmonic sixth chord, is the inverse of 4:5:7, and the upper structure of 70:84:105:120.

The open voicing 14:20:35 may be used as a fundamental utonal consonance of the 2.5.7 subgroup. It is the inverse of 4:7:10 with the middle voice contrasting by 49/40.


Edo approximations for 28:35:40 
intervals: 5/4, 10/7 · ≤ 60edo, RMS rel. error ≤ 15%
  Edo Steps Cents (¢) Absolute errors (¢) RMS (¢) RMS (%)
6 0  2  3 0.00 400.00 600.00 0.00 +13.69 -17.49 12.76 6.38
10 0  3  5 0.00 360.00 600.00 0.00 -26.31 -17.49 10.93 9.11
12 0  4  6 0.00 400.00 600.00 0.00 +13.69 -17.49 12.76 12.76
15 0  5  8 0.00 400.00 640.00 0.00 +13.69 +22.51 9.26 11.58
16 0  5  8 0.00 375.00 600.00 0.00 -11.31 -17.49 7.24 9.66
19 0  6 10 0.00 378.95 631.58 0.00  -7.37 +14.09 8.90 14.10
21 0  7 11 0.00 400.00 628.57 0.00 +13.69 +11.08 5.93 10.38
22 0  7 11 0.00 381.82 600.00 0.00  -4.50 -17.49 7.41 13.59
25 0  8 13 0.00 384.00 624.00 0.00  -2.31  +6.51 3.74 7.78
27 0  9 14 0.00 400.00 622.22 0.00 +13.69  +4.73 5.68 12.77
31 0 10 16 0.00 387.10 619.35 0.00  +0.78  +1.87 0.77 1.98
35 0 11 18 0.00 377.14 617.14 0.00  -9.17  -0.34 4.24 12.38
37 0 12 19 0.00 389.19 616.22 0.00  +2.88  -1.27 1.73 5.35
41 0 13 21 0.00 380.49 614.63 0.00  -5.83  -2.85 2.38 8.13
43 0 14 22 0.00 390.70 613.95 0.00  +4.38  -3.53 3.24 11.61
46 0 15 24 0.00 391.30 626.09 0.00  +4.99  +8.60 3.53 13.52
47 0 15 24 0.00 382.98 612.77 0.00  -3.33  -4.72 1.98 7.76
52 0 17 27 0.00 392.31 623.08 0.00  +5.99  +5.59 2.74 11.85
53 0 17 27 0.00 384.91 611.32 0.00  -1.41  -6.17 2.64 11.65
56 0 18 29 0.00 385.71 621.43 0.00  -0.60  +3.94 2.01 9.40
58 0 19 30 0.00 393.10 620.69 0.00  +6.79  +3.20 2.77 13.40