30:35:42: Difference between revisions

Latest revision as of 04:17, 26 May 2026

30:35:42 is a septimal diminished triad. It is the inverse of 5:6:7, and the upper structure of 60:70:84:105.

Its first inversion, 35:42:60, is notable for being the fifthless version of 70:84:105:120, the subharmonic sixth chord.

Edo approximations for 30:35:42 ▶
*intervals: 7/6, 7/5 · ≤ 60edo, RMS rel. error ≤ 15%*
	Edo	Steps	Cents (¢)	Absolute errors (¢)	RMS (¢)	RMS (%)
▶	8	`0 2 4`	`0.00 300.00 600.00`	`0.00 +33.13 +17.49`	13.53	9.02
▶	12	`0 3 6`	`0.00 300.00 600.00`	`0.00 +33.13 +17.49`	13.53	13.53
▶	14	`0 3 7`	`0.00 257.14 600.00`	`0.00 -9.73 +17.49`	11.26	13.14
▶	15	`0 3 7`	`0.00 240.00 560.00`	`0.00 -26.87 -22.51`	11.77	14.72
▶	18	`0 4 9`	`0.00 266.67 600.00`	`0.00 -0.20 +17.49`	8.29	12.44
▶	19	`0 4 9`	`0.00 252.63 568.42`	`0.00 -14.24 -14.09`	6.68	10.57
▶	22	`0 5 11`	`0.00 272.73 600.00`	`0.00 +5.86 +17.49`	7.27	13.32
▶	23	`0 5 11`	`0.00 260.87 573.91`	`0.00 -6.00 -8.60`	3.60	6.90
▶	27	`0 6 13`	`0.00 266.67 577.78`	`0.00 -0.20 -4.73`	2.19	4.92
▶	31	`0 7 15`	`0.00 270.97 580.65`	`0.00 +4.10 -1.87`	2.49	6.43
▶	35	`0 8 17`	`0.00 274.29 582.86`	`0.00 +7.41 +0.34`	3.42	9.97
▶	37	`0 8 18`	`0.00 259.46 583.78`	`0.00 -7.41 +1.27`	3.83	11.81
▶	39	`0 9 19`	`0.00 276.92 584.62`	`0.00 +10.05 +2.10`	4.33	14.07
▶	41	`0 9 20`	`0.00 263.41 585.37`	`0.00 -3.46 +2.85`	2.58	8.81
▶	45	`0 10 22`	`0.00 266.67 586.67`	`0.00 -0.20 +4.15`	2.01	7.53
▶	46	`0 10 22`	`0.00 260.87 573.91`	`0.00 -6.00 -8.60`	3.60	13.80
▶	49	`0 11 24`	`0.00 269.39 587.76`	`0.00 +2.52 +5.24`	2.14	8.74
▶	50	`0 11 24`	`0.00 264.00 576.00`	`0.00 -2.87 -6.51`	2.66	11.10
▶	53	`0 12 26`	`0.00 271.70 588.68`	`0.00 +4.83 +6.17`	2.65	11.70
▶	54	`0 12 26`	`0.00 266.67 577.78`	`0.00 -0.20 -4.73`	2.19	9.83
▶	58	`0 13 28`	`0.00 268.97 579.31`	`0.00 +2.09 -3.20`	2.18	10.53
▶	60	`0 13 29`	`0.00 260.00 580.00`	`0.00 -6.87 -2.51`	2.84	14.19

@@ Line 1: / Line 1: @@
 {{Infobox Chord|ColorName=zo zogu-5 or z(zg5)}}
-'''30:35:42''' is a septimal [[diminished triad]].
+'''30:35:42''' is a septimal [[diminished triad]]. It is the inverse of [[5:6:7]], and the upper structure of [[60:70:84:105]].
+Its first inversion, '''35:42:60''', is notable for being the fifthless version of [[70:84:105:120]], the subharmonic sixth chord.
+{{chord edo approximation}}
 == See also ==
-* [[5:6:7]] - its [[otonal]] inverse
+* [[5:6:7]] – its [[otonal]] inverse
 * [[30:35:42:49]]
-{{stub}}
+{{Todo|expand}}
-[[Category:Diminished triads|#]]
+[[Category:Diminished triads|##]] <!-- 2-digit number -->