28:35:42:50: Difference between revisions

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describe structure and significance
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{{Infobox Chord}}
{{Infobox Chord|ColorName=yo ruyoyopo-7 or y,ryyp7}}


'''28:35:42:50''' is a [[condissonant]] [[dominant seventh chord]] comprising a [[10/7]] tritone over the third of a [[4:5:6]] major triad.
'''28:35:42:50''' is a [[condissonant]] [[dominant seventh chord]] comprising a [[10/7]] tritone over the third of a [[4:5:6]] major triad. The 7th is only 7.7 cents sharper than 16/9.


In [[starling]], [[marvel]], and [[septimal meantone]] temperaments, this chord is [[tempered together]] with one or more [[5-limit]] dominant seventh chords.
In [[starling]], [[marvel]], and [[septimal meantone]] temperaments, this chord is [[tempered together]] with one or more [[5-limit]] dominant seventh chords.


[[Category:Dominant seventh chords|##]]
[[Category:Dominant seventh chords|##]]
{{chord edo approximation}}

Latest revision as of 07:30, 26 May 2026

Chord information
Harmonics 28:35:42:50
Subharmonics 1/(75:60:50:42)
Intervals from root 1/15/43/225/14
Cents from root 386¢702¢1004¢
Step intervals 5/4, 6/5, 25/21
Step cents 386¢, 316¢, 302¢
Color name yo ruyoyopo-7 or y,ryyp7
Prime limit 7
Genus 3527 (525)
Intervallic odd limit 25
Otonal odd limit 35
Utonal odd limit 75
Consistent edos (d ≥ 2) 12edo*, 19edo*, 31edo*, 68edo*, …

28:35:42:50 is a condissonant dominant seventh chord comprising a 10/7 tritone over the third of a 4:5:6 major triad. The 7th is only 7.7 cents sharper than 16/9.

In starling, marvel, and septimal meantone temperaments, this chord is tempered together with one or more 5-limit dominant seventh chords.


Edo approximations for 28:35:42:50 
intervals: 5/4, 3/2, 25/14 · ≤ 60edo, RMS rel. error ≤ 15%
  Edo Steps Cents (¢) Absolute errors (¢) RMS (¢) RMS (%)
7 0  2  4  6 0.00 342.86 685.71 1028.57 0.00 -43.46 -16.24 +24.77 24.80 14.47
12 0  4  7 10 0.00 400.00 700.00 1000.00 0.00 +13.69  -1.96  -3.80 6.89 6.89
19 0  6 11 16 0.00 378.95 694.74 1010.53 0.00  -7.37  -7.22  +6.72 5.83 9.24
24 0  8 14 20 0.00 400.00 700.00 1000.00 0.00 +13.69  -1.96  -3.80 6.89 13.78
31 0 10 18 26 0.00 387.10 696.77 1006.45 0.00  +0.78  -5.18  +2.65 2.90 7.50
37 0 12 22 31 0.00 389.19 713.51 1005.41 0.00  +2.88 +11.56  +1.60 4.48 13.80
41 0 13 24 34 0.00 380.49 702.44  995.12 0.00  -5.83  +0.48  -8.68 3.88 13.27
43 0 14 25 36 0.00 390.70 697.67 1004.65 0.00  +4.38  -4.28  +0.85 3.08 11.05
49 0 16 29 41 0.00 391.84 710.20 1004.08 0.00  +5.52  +8.25  +0.28 3.51 14.33
53 0 17 31 44 0.00 384.91 701.89  996.23 0.00  -1.41  -0.07  -7.58 3.12 13.77
56 0 18 33 47 0.00 385.71 707.14 1007.14 0.00  -0.60  +5.19  +3.34 2.38 11.12
60 0 19 35 50 0.00 380.00 700.00 1000.00 0.00  -6.31  -1.96  -3.80 2.33 11.65