30:35:42:49

Chord information

Harmonics	30:35:42:49
Subharmonics	1/(49:42:35:30)
Intervals from root	1/1–7/6–7/5–49/30
Cents from root	0¢–267¢–583¢–849¢
Step intervals	7/6, 6/5, 7/6
Step cents	267¢, 316¢, 267¢
Color name	zo zogu-5 zozogu-7 or z(zg5)zzg7
Prime limit	7
Genus	3⋅5⋅72 (735)
Intervallic odd limit	49
Otonal odd limit	49
Utonal odd limit	49
Consistent edos (d ≥ 2)	4edo*, 27edo**, 31edo*, 35edo*, …
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

30:35:42:49 is a septimal diminished seventh chord.

Edo approximations for 30:35:42:49 ▶
intervals: 7/6, 7/5, 49/30 · ≤ 60edo, RMS rel. error ≤ 15%

	Edo	Steps	Cents (¢)	Absolute errors (¢)	RMS (¢)	RMS (%)
▶	8	0  2  4  6	0.00 300.00 600.00 900.00	0.00 +33.13 +17.49 +50.62	18.73	12.49
▶	10	0  2  5  7	0.00 240.00 600.00 840.00	0.00 -26.87 +17.49  -9.38	16.03	13.36
▶	14	0  3  7 10	0.00 257.14 600.00 857.14	0.00  -9.73 +17.49  +7.76	10.01	11.67
▶	18	0  4  9 13	0.00 266.67 600.00 866.67	0.00  -0.20 +17.49 +17.28	8.74	13.12
▶	23	0  5 11 16	0.00 260.87 573.91 834.78	0.00  -6.00  -8.60 -14.60	5.24	10.05
▶	27	0  6 13 19	0.00 266.67 577.78 844.44	0.00  -0.20  -4.73  -4.94	2.37	5.33
▶	31	0  7 15 22	0.00 270.97 580.65 851.61	0.00  +4.10  -1.87  +2.23	2.25	5.82
▶	35	0  8 17 25	0.00 274.29 582.86 857.14	0.00  +7.41  +0.34  +7.76	3.71	10.82
▶	37	0  8 18 26	0.00 259.46 583.78 843.24	0.00  -7.41  +1.27  -6.14	3.76	11.59
▶	41	0  9 20 29	0.00 263.41 585.37 848.78	0.00  -3.46  +2.85  -0.60	2.24	7.66
▶	45	0 10 22 32	0.00 266.67 586.67 853.33	0.00  -0.20  +4.15  +3.95	2.08	7.80
▶	49	0 11 24 35	0.00 269.39 587.76 857.14	0.00  +2.52  +5.24  +7.76	2.91	11.87
▶	50	0 11 24 35	0.00 264.00 576.00 840.00	0.00  -2.87  -6.51  -9.38	3.56	14.83
▶	54	0 12 26 38	0.00 266.67 577.78 844.44	0.00  -0.20  -4.73  -4.94	2.37	10.66
▶	58	0 13 28 41	0.00 268.97 579.31 848.28	0.00  +2.09  -3.20  -1.11	1.91	9.25

See also

• 30:35:42

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