4901/4900

Interval information

Ratio	4901/4900
Factorization	2-2 × 5-2 × 7-2 × 132 × 29
Monzo	[-2 0 -2 -2 0 2 0 0 0 1⟩
Size in cents	0.353277¢
Name	large grapevine comma
Color name	29o3oorrgg1, twenobithorugu 1sn
FJS name	[math]\displaystyle{ \text{dd1}^{13,13,29}_{5,5,7,7} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	24.5174
Weil height (log2 max(n, d))	24.5177
Wilson height (sopfr(nd))	83
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.20026 bits
Comma size	unnoticeable
S-expression	S26 / S28
Open this interval in xen-calc

4901/4900, the large grapevine comma is a 29-limit superparticular comma of about 0.35 cents. It forms the difference between two 14/13s and 29/25. By tempering it out is defined the large grapevine temperament, which enables the large grapevine chords.

Etymology

The name large grapevine is contrast to the small grapevine, 7425/7424, measuring about 0.23¢, which is the difference between two 16/15s and 33/29. 4901/4900 is larger than 7425/7424 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