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.

Temperaments

In terms of microtempering the 2.3.5.11 subgroup, it may combine well with the schisma as doing so gives lower-complexity interpretations to the 5-limit "tritones" of (10/9)³ and (9/8)³ and their octave-complements, which results in the 53&65 temperament in the 2.3.5.11 subgroup. (The term "tritones" is being used here in the sense of stacking 3 tones, as calling (10/9)³ a "tritone" is questionable.) For optimising this temperament, 183edo is recommendable, although 65edo provides a less accurate tuning at the benefit of a more manageable number of tones. If extended to the full 11- or 13-limit, it is closely related to Bischismic, which also tempers 3136/3125.

See also

• Unnoticeable comma