99/80

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Revision as of 19:47, 14 December 2024 by Tristanbay (talk | contribs) (CAKE THIRD)
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Interval information
Ratio 99/80
Factorization 2-4 × 32 × 5-1 × 11
Monzo [-4 2 -1 0 1
Size in cents 368.9142¢
Names undecimal submajor third,
cake third
Color name logu 3rd, 1og3
FJS name [math]\displaystyle{ \text{m3}^{11}_{5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 12.9513
Weil norm (log2 max(n, d)) 13.2587
Wilson norm (sopfr(nd)) 30
Open this interval in xen-calc

99/80, the undecimal submajor third, is exactly 8/7 flat of the very accurate half-octave of 99/70, and so is accurately represented in any even edo with a good 7, of which the first truly good example is 26edo.

It is the sum of a 9/8 whole tone and an 11/10 submajor second, and so is 8019/8000 sharp of 100/81.