70:90:105:126: Difference between revisions

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By analogy, this is the subharmonic seventh chord
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{{Infobox Chord|ColorName=ru gu-7 or r,g7}}
{{Infobox Chord|ColorName=ru gu-7 or r,g7}}


'''70:90:105:126''' is the ''subharmonic seventh chord''. It is the inverse of [[6:7:9:10]], the harmonic sixth chord.  
'''70:90:105:126''' is a septimal dominant seventh chord. It is a type of subharmonic seventh chord. It is the inverse of [[6:7:9:10]], the harmonic sixth chord. It can be found by inflecting both [[5/4]] and [[7/4]] of the [[4:5:6:7|harmonic seventh chord]] up by [[36/35]].  


[[Category:Dominant seventh chords|##]]
{{chord edo approximation}}
 
[[Category:Dominant seventh chords|##]] <!-- 2-digit number -->

Latest revision as of 04:38, 26 May 2026

Chord information
Harmonics 70:90:105:126
Subharmonics 1/(9:7:6:5)
Intervals from root 1/19/73/29/5
Cents from root 435¢702¢1018¢
Step intervals 9/7, 7/6, 6/5
Step cents 435¢, 267¢, 316¢
Color name ru gu-7 or r,g7
Prime limit 7
Genus 3257 (315)
Intervallic odd limit 9
Otonal odd limit 105
Utonal odd limit 9
Consistent edos (d ≥ 2) 19edo*, 27edo*, 41edo*, 72edo**

70:90:105:126 is a septimal dominant seventh chord. It is a type of subharmonic seventh chord. It is the inverse of 6:7:9:10, the harmonic sixth chord. It can be found by inflecting both 5/4 and 7/4 of the harmonic seventh chord up by 36/35.


Edo approximations for 70:90:105:126 
intervals: 9/7, 3/2, 9/5 · ≤ 60edo, RMS rel. error ≤ 15%
  Edo Steps Cents (¢) Absolute errors (¢) RMS (¢) RMS (%)
8 0  3  5  7 0.00 450.00 750.00 1050.00 0.00 +14.92 +48.04 +32.40 18.08 12.05
12 0  4  7 10 0.00 400.00 700.00 1000.00 0.00 -35.08  -1.96 -17.60 14.13 14.13
14 0  5  8 12 0.00 428.57 685.71 1028.57 0.00  -6.51 -16.24 +10.98 9.90 11.55
19 0  7 11 16 0.00 442.11 694.74 1010.53 0.00  +7.02  -7.22  -7.07 5.88 9.31
22 0  8 13 19 0.00 436.36 709.09 1036.36 0.00  +1.28  +7.14 +18.77 7.42 13.60
27 0 10 16 23 0.00 444.44 711.11 1022.22 0.00  +9.36  +9.16  +4.63 3.84 8.64
31 0 11 18 26 0.00 425.81 696.77 1006.45 0.00  -9.28  -5.18 -11.14 4.28 11.05
33 0 12 19 28 0.00 436.36 690.91 1018.18 0.00  +1.28 -11.05  +0.59 5.07 13.95
39 0 14 23 33 0.00 430.77 707.69 1015.38 0.00  -4.31  +5.74  -2.21 3.75 12.19
41 0 15 24 35 0.00 439.02 702.44 1024.39 0.00  +3.94  +0.48  +6.79 2.76 9.43
45 0 16 26 38 0.00 426.67 693.33 1013.33 0.00  -8.42  -8.62  -4.26 3.53 13.25
46 0 17 27 39 0.00 443.48 704.35 1017.39 0.00  +8.39  +2.39  -0.20 3.47 13.31
50 0 18 29 42 0.00 432.00 696.00 1008.00 0.00  -3.08  -5.96  -9.60 3.54 14.77
53 0 19 31 45 0.00 430.19 701.89 1018.87 0.00  -4.90  -0.07  +1.27 2.35 10.40
58 0 21 34 49 0.00 434.48 703.45 1013.79 0.00  -0.60  +1.49  -3.80 1.93 9.34
60 0 22 35 51 0.00 440.00 700.00 1020.00 0.00  +4.92  -1.96  +2.40 2.58 12.89