143/128

Interval information

Ratio	143/128
Factorization	2-7 × 11 × 13
Monzo	[-7 0 0 0 1 1⟩
Size in cents	191.8456¢
Name	grossmic whole tone
Color name	3o1o2, tholo 2nd
FJS name	[math]\displaystyle{ \text{m2}^{11,13} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	14.1599
Weil height (log2 max(n, d))	14.3197
Wilson height (sopfr(nd))	38
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.20566 bits
Open this interval in xen-calc

143/128, the grossmic whole tone, is a 13-limit whole-tone-type interval of about 191.85 cents in size which separates 13/8 and 16/11 and likewise separates 16/13 from 11/8. It is represented near perfectly in edos that are a multiple of 25, and as those that are multiples of 50 also represent 11/8 and 13/8 within a fraction of a cent, they give it a consistent identity. It differs from 19/17 by 2432/2431, making tempering that out an excellent way of associating 13-limit intervals with simpler 19-limit ones. Two of them fall short of 5/4 by 20480/20449

See also

• 256/143 – its octave complement
• 192/143 – its fifth complement
• 512/429 – its fourth complement