7425/7424

Interval information

Ratio	7425/7424
Subgroup monzo	2.3.5.11.29 [-8 3 2 1 -1⟩
Size in cents	0.2331785¢
Name	small grapevine comma
Color name	L29u1oyy-2, latwenuloyoyo negative 2nd
FJS name	[math]\displaystyle{ \text{d}{-2}^{5,5,11}_{29} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	25.7162
Weil height (log2 max(n, d))	25.7164
Wilson height (sopfr(nd))	75
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.19873 bits
Comma size	unnoticeable
S-expression	S30 / S32
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7425/7424, the small grapevine comma is a 29-limit superparticular comma of about 0.23 cents. It forms the difference between two 16/15s and 33/29. By tempering it out is defined the small grapevine temperament, which enables the small grapevine chords.

Etymology

The name small grapevine is contrast to the large grapevine, 4901/4900, measuring about 0.35¢, which is the difference between two 14/13s and 29/25. 7425/7424 is smaller than 4901/4900 by a 29-limit unnoticeable comma, 9096256/9095625 = [6 -3 -4 -2 -1 2 0 0 0 2⟩. Large grapevine for 4901/4900 and small grapevine for 7425/7424 were given by Xenllium in 2023, for their semiparticular properties (4901/4900 = S26/S28 and 7425/7424 = S30/S32). In Xenllium's naming proposal, the suffix -vine stands for vicesimononal (29-limit).

See also

• Unnoticeable comma
• List of superparticular intervals