8019/8000

Interval information

Ratio	8019/8000
Factorization	2-6 × 36 × 5-3 × 11
Monzo	[-6 6 -3 0 1⟩
Size in cents	4.106806¢
Name(s)	missing ?
FJS name	[math]\displaystyle{ \text{d1}^{11}_{5,5,5} }[/math]
Special properties	reduced
Tenney height (log2 nd)	25.935
Weil height (log2 max(n, d))	25.9384
Wilson height (sopfr(nd))	56
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8019/8000 is a comma in the 2.3.5.11 subgroup, equal to (11/8)/(10/9)³. In terms of microtempering the 2.3.5.11 subgroup, it may combine well with the schisma due to the schisma equating three 9/8's with a 64/45. This combination may be desirable as it gives lower-complexity interpretations of the most complex tritones in the 5-limit: those corresponding to (10/9)³ and (9/8)³, the similarity being due to both stacking three of one of the two simplest 5-limit whole tones. For tempering both, 118edo and 183edo are recommendable, although 65edo provides a less accurate tuning at the benefit of a more manageable number of tones.

See also

• Unnoticeable comma