99/49: Difference between revisions

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| Color name = 1orr7, loruru 7th
| Color name = 1orr7, loruru 7th
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The ratio of '''99/49''' is essentially a Mothwellsma ([[99/98]]) - and the distance between the 99th and the 49th [[harmonic]] - but one [[octave]] higher.
The ratio of '''99/49''' is essentially a Mothwellsma ([[99/98]]) - but one [[octave]] higher, and the distance between the 99th and the 49th [[harmonic]]. It has no twos in its prime factorization, and thus appears in [[nonoctave]] systems as the sum of [[11/7]] and [[9/7]]. This interval can be considered a [[Pseudo-octave|false octave]].
 
This interval spans the size of 1217.57613 cents.

Latest revision as of 00:37, 18 December 2025

Interval information
Ratio 99/49
Factorization 32 × 7-2 × 11
Monzo [0 2 0 -2 1
Size in cents 1217.576¢
Name octave-plus-Mothwellsma
Color name 1orr7, loruru 7th
FJS name [math]\displaystyle{ \text{M7}^{11}_{7,7} }[/math]
Tenney norm (log2 nd) 12.2441
Weil norm (log2 max(n, d)) 13.2587
Wilson norm (sopfr(nd)) 31
Open this interval in xen-calc

The ratio of 99/49 is essentially a Mothwellsma (99/98) - but one octave higher, and the distance between the 99th and the 49th harmonic. It has no twos in its prime factorization, and thus appears in nonoctave systems as the sum of 11/7 and 9/7. This interval can be considered a false octave.