70:84:105:120: Difference between revisions
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The subharmonic sixth chord may be modified to obtain the harmonic seventh chord by raising the [[5/4]] by [[25/24]] and the [[7/4]] by [[49/48]]. The intervals [[25/24]] and [[49/48]] thus serve as chromas. It can also be modified by inflecting both [[6/5]] and [[12/7]] down by [[36/35]] to get the ''harmonic sixth chord'' [[6:7:9:10|1–7/6–3/2–5/3]]. | The subharmonic sixth chord may be modified to obtain the harmonic seventh chord by raising the [[5/4]] by [[25/24]] and the [[7/4]] by [[49/48]]. The intervals [[25/24]] and [[49/48]] thus serve as chromas. It can also be modified by inflecting both [[6/5]] and [[12/7]] down by [[36/35]] to get the ''harmonic sixth chord'' [[6:7:9:10|1–7/6–3/2–5/3]]. | ||
{{chord edo approximation}} | |||
{{todo|inline=1|add sound example}} | {{todo|inline=1|add sound example}} | ||
Latest revision as of 04:38, 26 May 2026
| Chord information |
gu ru-6 or g,r6
70:84:105:120, the subharmonic sixth chord[1], is a tetrad in 7-limit harmony. It is the inverse of 4:5:6:7, the harmonic seventh chord. It can be considered the minor version of 4:5:6:7, and serves as the fundamental utonal consonance of the 7-odd-limit. On C, it can be notated as Cm(S6), where m is 5-limit minor and S is supermajor.
The subharmonic sixth chord may be modified to obtain the harmonic seventh chord by raising the 5/4 by 25/24 and the 7/4 by 49/48. The intervals 25/24 and 49/48 thus serve as chromas. It can also be modified by inflecting both 6/5 and 12/7 down by 36/35 to get the harmonic sixth chord 1–7/6–3/2–5/3.
| Edo | Steps | Cents (¢) | Absolute errors (¢) | RMS (¢) | RMS (%) | |
|---|---|---|---|---|---|---|
| ▶ | 10 | 0 3 6 8 |
0.00 360.00 720.00 960.00 |
0.00 +44.36 +18.04 +26.87 |
15.99 | 13.33 |
| ▶ | 12 | 0 3 7 9 |
0.00 300.00 700.00 900.00 |
0.00 -15.64 -1.96 -33.13 |
13.25 | 13.25 |
| ▶ | 15 | 0 4 9 12 |
0.00 320.00 720.00 960.00 |
0.00 +4.36 +18.04 +26.87 |
10.72 | 13.40 |
| ▶ | 19 | 0 5 11 15 |
0.00 315.79 694.74 947.37 |
0.00 +0.15 -7.22 +14.24 |
7.78 | 12.32 |
| ▶ | 22 | 0 6 13 17 |
0.00 327.27 709.09 927.27 |
0.00 +11.63 +7.14 -5.86 |
6.69 | 12.26 |
| ▶ | 27 | 0 7 16 21 |
0.00 311.11 711.11 933.33 |
0.00 -4.53 +9.16 +0.20 |
4.96 | 11.17 |
| ▶ | 31 | 0 8 18 24 |
0.00 309.68 696.77 929.03 |
0.00 -5.96 -5.18 -4.10 |
2.30 | 5.94 |
| ▶ | 37 | 0 10 22 29 |
0.00 324.32 713.51 940.54 |
0.00 +8.68 +11.56 +7.41 |
4.26 | 13.15 |
| ▶ | 41 | 0 11 24 32 |
0.00 321.95 702.44 936.59 |
0.00 +6.31 +0.48 +3.46 |
2.54 | 8.67 |
| ▶ | 46 | 0 12 27 36 |
0.00 313.04 704.35 939.13 |
0.00 -2.60 +2.39 +6.00 |
3.17 | 12.14 |
| ▶ | 50 | 0 13 29 39 |
0.00 312.00 696.00 936.00 |
0.00 -3.64 -5.96 +2.87 |
3.38 | 14.08 |
| ▶ | 53 | 0 14 31 41 |
0.00 316.98 701.89 928.30 |
0.00 +1.34 -0.07 -4.83 |
2.34 | 10.34 |
| ▶ | 58 | 0 15 34 45 |
0.00 310.34 703.45 931.03 |
0.00 -5.30 +1.49 -2.09 |
2.55 | 12.32 |
|
Todo: add sound example |
References
See also
- Its homonym 60:70:84:105 (a minor 7th flat-5th chord or half-diminished chord).