35/32

Interval information

Ratio	35/32
Factorization	2-5 × 5 × 7
Monzo	[-5 0 1 1⟩
Size in cents	155.1396¢
Name	septimal neutral second
Color name	zy2, zoyo 2nd
FJS name	[math]\displaystyle{ \text{M2}^{5,7} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	10.1293
Weil height (log2 max(n, d))	10.2586
Wilson height (sopfr(nd))	22
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.23815 bits
Comma size	large
S-expression	S5 × S6 × S7
[sound info]
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35/32, the septimal neutral second, is approximately half of a 6/5 just minor third; (6/5)/(35/32)² = 6144/6125, the porwell comma. It is the interval between 8/7 and 5/4. It is 385/384 sharp of 12/11, and tempering it out makes the interval from 8/7 to 5/4 a 12/11, and leads to keenanismic chords, interpreting 48/35 as 11/8. It is also 176/175 flat of 11/10, and tempering that out instead leads to valinorsmic chords and interprets 48/35 as 15/11.

It is very closely approximated by 4\31, being just 0.3 cents sharp of that interval.

See also

• 64/35 – its octave complement
• Gallery of just intervals