36:45:56

From Xenharmonic Wiki
Revision as of 04:36, 26 May 2026 by Pailiaq (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
Chord information
Harmonics 36:45:56
Subharmonics 1/(70:56:45)
Intervals from root 1/15/414/9
Cents from root 386¢765¢
Step intervals 5/4, 56/45
Step cents 386¢, 379¢
Color name yo zoqu-5 or y(zq5)
Prime limit 7
Genus 3257 (315)
Intervallic odd limit 45
Otonal odd limit 45
Utonal odd limit 45
Consistent edos (d ≥ 2) 3edo**, 6edo*, 16edo*, 19edo**, …

36:45:56 is a 7-limit interpretation of the augmented triad, substituting a septimal minor sixth for the augmented fifth.


Edo approximations for 36:45:56 
intervals: 5/4, 14/9 · ≤ 60edo, RMS rel. error ≤ 15%
  Edo Steps Cents (¢) Absolute errors (¢) RMS (¢) RMS (%)
6 0  2  4 0.00 400.00 800.00 0.00 +13.69 +35.08 14.44 7.22
9 0  3  6 0.00 400.00 800.00 0.00 +13.69 +35.08 14.44 10.83
12 0  4  8 0.00 400.00 800.00 0.00 +13.69 +35.08 14.44 14.44
13 0  4  8 0.00 369.23 738.46 0.00 -17.08 -26.45 10.95 11.86
16 0  5 10 0.00 375.00 750.00 0.00 -11.31 -14.92 6.35 8.47
19 0  6 12 0.00 378.95 757.89 0.00  -7.37  -7.02 3.39 5.37
22 0  7 14 0.00 381.82 763.64 0.00  -4.50  -1.28 1.89 3.47
25 0  8 16 0.00 384.00 768.00 0.00  -2.31  +3.08 2.21 4.61
28 0  9 18 0.00 385.71 771.43 0.00  -0.60  +6.51 3.22 7.51
31 0 10 20 0.00 387.10 774.19 0.00  +0.78  +9.28 4.20 10.85
34 0 11 22 0.00 388.24 776.47 0.00  +1.92 +11.55 5.06 14.32
35 0 11 22 0.00 377.14 754.29 0.00  -9.17 -10.63 4.71 13.72
38 0 12 24 0.00 378.95 757.89 0.00  -7.37  -7.02 3.39 10.75
41 0 13 26 0.00 380.49 760.98 0.00  -5.83  -3.94 2.43 8.29
44 0 14 28 0.00 381.82 763.64 0.00  -4.50  -1.28 1.89 6.93
47 0 15 30 0.00 382.98 765.96 0.00  -3.33  +1.04 1.87 7.31
50 0 16 32 0.00 384.00 768.00 0.00  -2.31  +3.08 2.21 9.21
53 0 17 34 0.00 384.91 769.81 0.00  -1.41  +4.90 2.70 11.93
58 0 19 37 0.00 393.10 765.52 0.00  +6.79  +0.60 3.07 14.83
60 0 19 38 0.00 380.00 760.00 0.00  -6.31  -4.92 2.71 13.54
This page is a stub. You can help the Xenharmonic Wiki by expanding it.