35/27

Interval information

Ratio	35/27
Factorization	3-3 × 5 × 7
Monzo	[0 -3 1 1⟩
Size in cents	449.2746¢
Name	septimal semidiminished fourth
Color name	zy4, zoyo 4th
FJS name	[math]\displaystyle{ \text{P4}^{5,7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	9.88417
Weil norm (log2 max(n, d))	10.2586
Wilson norm (sopfr(nd))	21
[sound info]
Open this interval in xen-calc

35/27, the septimal semidiminished fourth, is the interval between 9/7 and 5/3. It is about 449.3 cents in size, 245/243 sharp of 9/7 and 351/350 flat of 13/10. Tempering out 351/350 leads to chords such as the ratwolf triad, a tempered 1-6/5-20/13.

Notice it is also sharp of the classical major third by 28/27, the subminor second, suggesting the function of a dissonance yet to be resolved down to the 5/4.

Approximation

Edo approximations for 35/27 (449.27 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
8	3\8	450.00	+0.73	+0.48
16	6\16	450.00	+0.73	+0.97
24	9\24	450.00	+0.73	+1.45
32	12\32	450.00	+0.73	+1.93
40	15\40	450.00	+0.73	+2.42
43	16\43	446.51	-2.76	-9.90
48	18\48	450.00	+0.73	+2.90
51	19\51	447.06	-2.22	-9.42
56	21\56	450.00	+0.73	+3.39
59	22\59	447.46	-1.82	-8.93
64	24\64	450.00	+0.73	+3.87
67	25\67	447.76	-1.51	-8.45
72	27\72	450.00	+0.73	+4.35
75	28\75	448.00	-1.27	-7.97
80	30\80	450.00	+0.73	+4.84

See also

• 54/35 – its octave complement
• 81/70 – its fifth complement
• Gallery of just intervals
• File:Ji-35-27-csound-foscil-220hz.mp3 – another sound example